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     GROUND WATER TRACERS

                                          \


                                          7
       S.N. DAVIS, D.J. CAMPBELL, H.W. BENTLEY & TJ. FLYNN



           NATIONAL GROUND WATER ASSOCIATION


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 GROUND WATER TRACERS
                    by

              Stanley N. Davis
              Darcy J. Campbell
              Harold W. Bentley
              Timothy J. Flynn
   Department of Hydrology and Water Resources
             University of Arizona
            Tucson, Arizona 85721
       Cooperative Agreement CR-810036
               Project Officer
               Jerry Thornhill
 Robert S. Kerr Environmental Research Laboratory
            Ada, Oklahoma 74820
Robert S. Kerr Environmental Research Laboratory
      Office of Research and Development
     U.S. Environmental Protection Agency
            Ada, Oklahoma 74820
                Published by

        National Ground Water Association
              6375 Riverside Dr.
               Dublin, OH 43017

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                                  FOREWORD
     The Environmental Protection Agency was established to coordinate
administration of the major federal programs designed to protect  the quality
of our environment.

     An important part of the Agency's effort  involves  the search for infor-
mation about environmental problems, management techniques, and new technol-
ogies through which optimum use of the nation's land and water resources  can
be assured. 'S'nd the threat which pollution poses to the  welfare of the Ameri-
can peopie can be minimized.

     UPA's Offd.ce of Research and Development  conducts  this search through  a
nationwide network of research facilities.

     As one of these facilities, the Robert S. Kerr Environmental Research
Laboratory is the Agency's center of expertise for investigation  of the  soil
and subsurface environment.  Personnel at the  Laboratory are  responsible  for
management of research programs to:  (a) determine the  fate,  transport and
transformation rates of pollutants in the soil, the unsaturated zone and  the
saturated zones of the subsurface environment; (b) define  the processes  to
be used in characterizing the soil and subsurface environment as  a receptor
of pollutants; (c) develop techniques for predicting the effect of pollu-
tants on ground water, soil, and indigenous organisms;  and (d) define and
demonstrate the applicability and limitations  of using  natural processes,
indigenous to the soil and subsurface environment, for  the protection of
this resource.

     This report contributes to that knowledge which is essential in order
for EPA to establish and enforce pollution control standards  which are
reasonable, cost effective, and provide  adequate environmental protection
for the American public.
                                                 Clinton W.  Hall
                                                 Director
                                                 Robert S.  Kerr Environmental
                                                    Research Laboratory
                                      11

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                             ORIGIN OF FUNDING







     The information in this document has been  funded wholly  or  in  part  by




the United States Environmental Protection Agency  under  cooperative  agree-




ment CR-81003601-0 to the University of  Arizona.   It has been subject  to the




Agency's peer and administrative review  and  it  has been  approved for publi-




cation as an EPA document.
                                      iii

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                                   PREFACE


     An Introduction  to Ground-Water Tracers has been developed in conjunc-

tion with the U.S. Environmental  Protection Agency for use by persons in-

volved in efforts  to  determine  the direction and velocity of ground-water

flow.  Techniques  described  are those which are currently in use and methods

which may be of future significance.

     For those concerned with protecting ground water, this document may be

helpful as a ready summary of methods to determine the movement of ground

water and contaminants in an aquifer.
          Library of Congress Cataloging-in-Publication Data
          Main  entry under title:

          Ground-water tracers.

             "Cooperative agreement CR-810036."
             Project coordinated by the Robert S. Kerr Environ-
          mental  Research Laboratory.
             Bibliography: p.
             1. Groundwater tracers.  2. Water, Underground—
          Pollution.  I.  Davis,  Stanley N. (Stanley Nelson),
          1924-     .   II. Thornhill,  Jerry.   III. National
          Water Well Association.   IV.  Robert S. Kerr Environ-
          mental  Research Laboratory.
          GB1197.6.G76  1985       628.1'68'0287        85-21785
                                      IV

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                                  CONTENTS
Foreword	
Origin of Funding	
Preface	iv
Figures	vii*
Tables 	   x
Acknowledgments	xi

Chapter 1	   1
   Introduction	   1
      General Characteristics of Tracers  	   1
      History of Ground-water Tracing	   2
      Purpose and Scope	   3
      Public Health Considerations  	   5

Chapter 2	   7
   Hydrogeologic Principles	   7
      Darcy's Law.	   7
      Direction of Water Movement	11
      Travel Time	14
      Sorption of Tracers and Related Phenomena.  .....  	  14
      Hydrodynamic Dispersion and Molecular Diffusion	18

Chapter 3	21
   Practical Aspects  	  21
      Planning a Test	21
      Types of Tracer  Tests	24
         Single-Well  Techniques	26
            Injection/Withdrawal  	  26
            Borehole  Dilution	35
         Two-Well Techniques 	  37
            Uniform Flow	37
            Radial  Flow	38
      Design and Construction of Test Wells	39
      Injection and Sample Collection	47
      Interpretation  of Results	52

Chapter 4	61
   Types of Tracers.  ........  	  61
      Temperature	61
         Field Methods	65
         Detection  and Analysis	65
         Additional Information	66
      Solid Particles	•  66
         Paper and  Simple Floats	67
            Field Methods	67
            Detection	67
            Additional Information  	  67
         Signal-Emitting  Floats	68
                                     v

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Yeast	68
   Field Methods	69
   Detect ion/Sample Analysis	69
   Additional Information 	   69
Bacteria	70
   Field Methods	72
   Detection	72
   Additional Information 	   72
Viruses	73
   Field Methods	76
   Additional Information 	   77
Spores	78
   Field Methods	79
   Detection and Analysis 	   81
   Additional Information 	   83
Ions	86
   Field Methods	88
   Detection and Analysis	   91
   Discussion of Specific Ion Tracers  	   93
      Chloride	93
      Bromide	94
      Lithium	96
      Ammonium	96
      Magnesium	96
      Potassium	96
      Iodide	96
      Organic anions	96
Dyes	97
   Field Methods	100
   Detection and Analysis 	  .....  102
   Additional Information 	  103
   Discussion of Specific Dye Tracers  	  110
      Green Dyes	HO
         Fluorescein	HO
         Pyranine	113
         Lissamine FF	113
      Orange Dyes	113
         Rhodamine B	113
         Rhodamine WT	114
         Sulfo rhodamine B	118
      Blue Dyes	118
Some Common Nonionized and Poorly  Ionized Compounds  	 119
   Detection	121
Gases	121
   Introduction 	 121
   Inert Radioactive Gases	122
   Inert Natural Gases	122
   Fluorocarbons	124
   Field Methods	1128
   Analysis	129
                            VI

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                                                                      Page

         Stable Isotopes 	 129
            Introduction 	 129
            Hydrogen and Oxygen	130
            Nitrogen	131
            Sulfur	
            Carbon	
            Isotopes of Other Elements 	 135
            Field Methods	135
            Analyses	13'
         Radionuclides 	 13?
            Introduction 	 137
            Injected Tracers 	 138
            Atmospherically Distributed Radionuclides	143
            Field Methods	147
            Analysis	•	148
Appendixes
   Appendix A	149
      Additional Uses of Water Tracers 	 149
   Appendix B	i54
      A Discussion of Dispersion and Diffusion 	 154
   Appendix C	263
      Factors  to  Consider  in Tracer Selection	263
   Appendix D	269
      Chemical Supply  Companies	269
   Appendix E	273
      Analytical  Methods for the Detection  of Tracers	273
References	286
                                      VII

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                                FIGURES


                                                                    Page

2.1  Darcy's law	   8

2.2  Direction of water movement	12

2.3  Divergence from regional direction of water
     movement	13

2.4  Average travel time of ground water	15

2.5  Hydrodynamic dispersion  	   19

2.6  Molecular diffusion 	   20

3.1  Slope of the water table	23

3.2  Tracer tests at Sand Ridge State Forest, Illinois  	   25

3.3  Different arrangements for ground-water  tracing  	   27

3.4  Tracer test in alluvium	41

3.5  Two-well tracer test in  fractured rock	44

3.6  Tracer test using water  temperature  	   48

3.7  Variation of chemical quality with time	51

3.8  Arrival of tracer front	53

3.9  Dispersion in breakthrough curves 	   55

3.10 Incomplete saturation of aquifer	56

3.11 Conservative vs. nonconservative tracers	58

3.12 Computer-generated type  curves	59

4.1  Results of tracer test using hot water	64

4.2  Results of two-well tracer tests using bromide
     and yeast	71

4.3  Two-well tracer test using rhodamine WT  and E. Coli	74

4.4  Use of plankton net to catch spores	82
                                  viii

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                                                                     Page
4.5  Comparison of  tracer pulse from  lycopodium  spores
     and a dye in a karst system	84

4.6  Comparison of  several tracers  in a  laboratory  test	95

4.7  Excitation and emission characteristics  of
     rhodamine WT	99

4.8  Automatic monitoring system  for  a stream	104

4.9  Effect of pH on fluorescence	106

4.10 Adsorption of  dyes on kaolinite	107

4.11 Comparison of  travel time for  lycopodium spores, hot
     water, and fluorescein	109

4.12 Arrival times  of  tritium and rhodamine WT in a
     field test	116

4.13 Laboratory experiments with  fluorocarbon tracers
     and tracer elution curves for  NaCl  and CC1  F	126

4.14 Relation  between  oxygen-18 and deuterium for
     natural waters	132

4.15 Oxygen-18 variations in ground water  of  the
     Tucson basin	133

4.16 Carbon isotopes in methane	136

4.17 Local direction of ground-water movement using
     radioactive  tracers  	  141

4.18 Average annual tritium concentration  of  rainfall
     and snow	145
                                    IX

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                                 TABLES
2.1  Representative Values of Porosity, Hydraulic
     Conductivity, and Permeability .................  10

4.1  Comparison of Microbial Tracers ................  75

4.2  Comparison of Lycopodium and Fluorescent Dye
     Properties ...........................  85

4.3  Analytical Methods for Ionic Tracers ..............  92

4.4  Description of Dye Tracers ...................  98

4.5  Sensitivity and Minimum Detectable Concentrations
     of Dye Tracers ......................... 105
4.6  Relative Costs of Dyes

4.7  Sorption of Dyes on Bentonite

4.8  Compounds  Soluble in Water ................... 120

4.9  Gases of Potential Interest  as  Tracers ............. 123

4.10 Properties of Fluorocarbon Compounds .............. 125

4.11 Commonly Used Radioactive Tracers  ............... 139

4.12 Environmental Radionuclides  ........  •

B.I  Values  of  Dispersivities Measured  by  Various
     Methods
                                                                      160
                                    x

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     Acknowledgments;  Mr. Jack Keeley  of  the Robert  S. Kerr Environmental




Research Laboratory encouraged us  in  launching  the  initial  project.   Drs.




Glenn M. Thompson and Emanuel Mazor gave valuable  direction in the  initial




stages of the work.  Much  of the  library research  was done  by  Michael G.




Wallace.  Drafting was completed  by Ms. Ann Cotgageorge,  and manuscript typ-




ing was done by Ms. Corla  Thies.   Field assistance in conducting tracer tests




was provided by Jesus Carrera and Morley Weitzman.   To these individuals  and




to many others who have  helped us, we are  grateful.
                                       xi

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                                 CHAPTER ONE




                                 INTRODUCTION







                     General Characteristics of  Tracers






     As used in hydrogeology, a  tracer  is  matter or  energy  carried by ground




water which will give information  concerning the direction  of  movement




and/or velocity of the water and potential contaminants  which  might be




transported by the water.  If enough  information is  collected,  the study of




tracers can also help with the determination of  hydraulic conductivity,  por-




osity, dispersivity, chemical distribution coefficients, and other hydro-




geologic parameters.  A  tracer can be entirely natural,  such as the heat




carried by hot-spring waters; it can  be accidentally introduced,  such as




fuel oil from a ruptured storage tank;  or  it can be  introduced intention-




ally, such as dyes placed in water flowing within limestone caverns (Davis




et al., 1980).




     A tracer should have a number of properties in  order  to be generally




useful.  The most  important criterion is that the potential chemical and




physical behavior  of the tracer  in ground  water  must be  understood.  The ob-




jective is commonly  to use a tracer which  travels with the  same velocity and




direction as the water and does  not interact with solid  material.   For most




uses, a tracer should be nontoxic. It  should be relatively inexpensive  to




use and should be, for most practical problems,  easily detected with widely




available and simple technology.  The tracer should  be present in concentra-




tions well above background concentrations of the same constituent in the




natural system which is  being studied.   Finally, the tracer itself should




not modify the hydraulic conductivity or other properties of the medium




being studied.




                                      1

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     Obviously, an ideal tracer does not exist.  Because of  the complexities




of the natural systems which are studied,  together with the  large number  of




requirements for the tracers themselves, the  selection and use of tracers is




almost as much of an art as it is a science.  This manual will describe some




of this art and also explain some of the important scientific principles




needed to apply the art effectively.






                      History of Ground-Water Tracing






     One of the first tracing experiments  was performed almost 2,000 years




ago when Philip, the tetrarch of Trachonitis, threw  chaff  into a crater




lake.  He reported that the chaff appeared downgradient in one of the




springs at the headwaters of the Jordan River.   Although Josephus reported




that the experiment was a success, Mazor (1976)  demonstrated by chemical  and




isotopic measurements that the supposed underground  connection would be




highly unlikely.  Around the same period of time, Strabo described  karst




tracing experiments (Burden, 1963).  The karst areas of Europe abound  with




folk legends of cavern connections demonstrated  by straying  ducks and  dogs




(Brown and Ford, 1971).




     Dyes and salts have been used in Europe  since 1869 to find hydraulic




connections in karst areas (Kass, 1964).   Among  the  first  dye experiments




was an effort made to establish the water  origin of  typhoid  fever in France




in 1882.  Dole (1906) mentioned the work of Dr.  Carrieres  during this  severe




epidemic near Paris.  The fluoroscope was  invented in France in 1901 by




M. Trillat and perfected by M. Marboutin.   This  instrument greatly  increased




the precision of fluorescent dye measurements.   Dole described work in




France with karst and soil tracing and pioneered the use of  fluorescein  in




English-speaking countries.

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     During the same time, Thiem used  sodium  chloride  in  investigations  in




Leipzig to determine the flow velocity of  water  (Slichter,  1902).   Thiem




sampled for chloride, which he analyzed in the laboratory.   Slichter modi-




fied Thiem's method by obtaining continuous recordings of electrical con-




ductivity in the field.  Ammonium chloride was used  in Schlicter's  experi-




ments.  Slichter (1905) also determined time  of  travel and direction of  flow




in perhaps the first field tracer tests in porous  media.   His  use  of shallow




drive point wells and resistivity measurement was  modified by  the  authors of




this manual, and was used in small-scale field tests described in  a subse-




quent chapter.




     In the 1950's, radioactive  tracers were  developed (Fox, 1952), allowing




very precise and selective tracer measurement.   They were quite popular,




although  their use has been  curtailed  in many countries for public health




reasons.   In the 1960's,  naturally-occurring  radioisotopes and stable  iso-




topes became an invaluable  tracing  tool.  In  the last two decades,  re-




searchers have developed  extremely  sensitive  tracers, including fluorinated




organic acids  and halocarbons.






                             Purpose and Scope






     The  purpose of  this  manual  is  to  provide a  guide to the use of ground-




water  tracers  for practicing engineers, hydrologists, and ground-water geol-




ogists.   Some  parts  of  the  manual  may  prove to  be useful to research scien-




tists; however, emphasis  has been  placed on the  practical rather than  on the




theoretical  aspects  of  tracers.   Specifically,  the manual is concerned with




the  selection  of tracers,  their  field  application, collection of samples




containing tracers,  sample  analysis, and interpretation of the results.

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Only a general introduction will be provided,  however,  to laboratory analy-




ses and quantitative interpretation of  the  results.




     The number of possible tracers which can  be  used  in ground water must




number in the thousands,  if all trace constituents  together  with stable iso-




topes and radionuclides are considered.  In this  manual,  emphasis has been




placed on the more practical  tracers, while several other tracers have been




mentioned which may be used for special  applications.   References given in




the bibliography will cover a large number  of  additional tracers which are




not discussed in detail in the manual.




     Except for volatile  tracers and  tracers which  break down in sunlight,




ground-water tracers can  be used for  surface-water  work.  The reverse is not




always true.  One of the  most common  errors in ground-water  tracer work is




to use dyes which have been applied successfully  in surface-water studies.




Many excellent surface-water  tracers  are available,  but cannot be used




directly for ground-water work.  This manual is intended for people inter-




ested in ground-water tracing; thus,  many of the  limitations of surface-




water tracers as applied  to subsurface  problems have been pointed out.




     While some space has been given  to natural tracers and  tracers intro-




duced accidentally through pollution, most  of  the manual is  focused on mate-




rial injected intentionally into ground water  for the  purpose of tracing the




movement of fluids in active  ground-water systems.   Tracer applications in




the petroleum industry are mentioned  in Appendix  A.




     The purpose and importance of  tracer tests was eloquently described by




Dole (1906), and his sentiments are consistent with the philosophy of this




manual•

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        "Consequently,  every means for determining the flow and
        pollution  foci  of underground waters should be used.  In
        studying the  potability of a well or spring water, it is
        important  to  know not only its chemical composition, but
        also  its source,  its rate of flow, the area tributary to
        it, the nature  of the material through which it passes,
        and the contaminations to which it may be subjected
        before or  during  its underground journey.  It is often
        a  matter of much  importance to know whether the flow is
        from  a cesspool toward a neighboring well or in the oppo-
        site  direction;  it may be necessary to determine whether
        or not water  seeps from a contaminated brook into wells
        of a  neighboring  region; whether collecting galleries
        for public water  supplies receive seepage from well-
        established  sources of contamination; whether, in general,
        known foci of pollution are in immediate, though obscured,
        connection with sources of drinking water.  Knowledge of
        this  nature  is  especially important in the study of waters
        passing  through formations full of seams or crevices, where
        there is  opportunity for rapid circulation without much
        purification.  The determination of the area draining to
        the  underground supply affords data in regard to the quan-
        tity  of  available water as well as its quality."
                        Public Health Considerations


     Tracers discussed in detail in this manual are mostly harmless and

should pose no public health problems.  One  cannot emphasize  too  strongly,

however, that each artificial introduction of  tracers  must be  done with  a

careful consideration of possible health implications.   Commonly, investiga-

tions using artificially-introduced tracers  must  have  the approval of  local

or state health authorities, local citizens  must  be informed  of the tracer

injections, and the results should be made available  to  the public.  In

addition, under some circumstances, analytical work associated with tracer

studies must be done in appropriately certified laboratories.  Because of

the extreme variability of local and state regulations and because of  the

rapid changes in  these regulations, it  is  impractical  to include  an exten-

sive discussion of public health aspects of  tracers.   Therefore,  the authors

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disclaim any responsibility for judging the health effects of the  tracers




covered in this manual.

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                                CHAPTER TWO



                         HYDROGEOLOGICAL PRINCIPLES




     The following discussion is intended only as a brief  introduction  to


some of the hydrogeological principles necessary for  the application  of


tracer technology.  More complete information can be  found in  standard  text-


books on the topic (Bouwer, 1978; Davis and DeWiest,  1966;  Fetter,  1980;


Freeze and Cherry, 1979; Heath and Trainer, 1968; and U.S.  Bureau  of  Recla-



mation, 1977).




                                Darcy's Law




     Most  ground-water  flow  is  governed by Darcy's  law,  which  must be under-


stood  in order  to design successful  tracer  tests.   For  a simple flow system,


Darcy's law  states that the  volume  Of water  flowing per unit of time, Q,


through a  given cross section,  A,  is directly proportional to the hydraulic


gradient,  —,  and the hydraulic conductivity, K.  Stated as an equation,
           AL


this is:
                              Q = ^  Ah                                (1)

                                      AL
 The meaning of this equation is illustrated in Figure 2.1.


      The hydraulic conductivity, K, is in itself a complex measure of a


 number of physical factors.  One useful equation relating these factors is:





                              K = d2c g                                 (2)

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oo
                       Figure 2.1.  An illustration of Darcy's law using a tube filled with sand.
                       The energy loss in the flow system is proportional to the change in hydraulic
                       head, Ah, over an incremental length, AL, and inversely proportional to the
                       hydraulic conductivity, K, which is a constant only if the  fluid properties
                       and the gravitational field are constant.  The discharge, Q, flowing through
                       the tube is measured in any consistent units of volume per  unit time (length3/
                       time).

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where d is some average aperture width,  such as  the  diameter  of  pores




between sand grains or the width of  cracks  in rocks;  c  is  a unitless measure




of the geometry of the pores; g is the  acceleration  of  gravity;  p is the




density of the fluid; and  y  is the dynamic  viscosity of the fluid.   The pro-




duct d2c in Equation  (2) is  commonly designated  as  the  permeability, k, of




the solid material.   The older hydrologic and engineering  literature com-




monly uses the term "permeability" to designate  hydraulic  conductivity.  The




permeability, however, is a  property of  the solid material through which the




water (or other fluid) is moving.  In contrast,  the  hydraulic conductivity




includes the properties of the fluid and the field  of gravity as well  as the




permeability.  Typical values for  the hydraulic  conductivity, K, and the




permeability, k,  of natural  materials are  given  in  Table 2.1.




     Another equation expressing  the conservation of mass  of  water, assuming




that water is incompressible,  is  useful in  the consideration  of  tracer move-




ment.  This equation  in  simple  form  states  that:






                                Q  = ^ ngA                               (3)






in which Q and A are  identical  to these terms found in Equation (1), and v




is the average velocity  of the  ground water.  The term rig  is  the effective




porosity, or  the  pore volume which transmits ground water.




     In most  sections of  this manual, porosity,  permeability, and hydraulic




conductivity  are  assumed  to  be  constants in a given field situation.  Under




most conditions,  these values can vary  widely in space and will even vary




with time.  Spatial  variations  are evident  in all geologic materials and




need no explanation  at this  point.   Temporal variations are not  as

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                                      TABLE  2.1

                       Representative Values of Porosity,
                    Hydraulic Conductivity,  and Permeability
         (Data abstracted from several sources, including Davis, 1969)
Material
Granite, dense
Granite, fractured
Quartz! te, dense
Schist, highly-weathered, clay-rich
Schist, fractured and partly weathered
Basalt, dense
Tuff, friable
Conglomerate, hlghly-lithlf ied
Sandstone, aedlum-grained
Shale, compacted
Line stone, dense
Clay, narine
Sand, •edlum-grained
Sand, aediun to coarse-grained
Sand, fine-grained
Silt, sandy
Silt, loess, fine-grained
Gravel, fine-grained, some sand
Porosity
(Z)
0.3
1.2
0.6
48
5
7.7
36
17.3
15.6
21
10.1
46.5
42.9
37.4
40.1
39.4
50.0
32.1
Hydraulic
Conductivity
(neters/day)
1.5 x 10~6
2 x 10-2
1.4 x 10~6
2.3 x 10-2
1.04
1.04 x 10~S
1.04 x 10-3
3.6 x 10-"
5.6 x 10-2
3 x 10~6
5.7 x 10-3
1.2 x 10~5
13.5
20.4
1.1
2.8 x 10-2
0.24
66
Permeability
(darcys)
2.0
2.7
1.9
3.1
1.4
1.4
1.4
4.9
7.6
4 x
7.7
1.6
18.2
27.5
1.5
3.8
0.33
89
x 10~6
x 10-2
x 10~6
X ID'2

x 10"5
x 10-3
x ID""
x 10~2
10"6
x 10~3
x 10" 5



x 10-2


Mote:  With water  at 20"C, aaterial having one darcy permeability will have a hydraulic
      conductivity of 0.74 neters/day which is equivalent to 2.43 feet/day.
                                          10

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self-evident; however, they can also be very  large.  Examples would be  the




variations caused by the effects of natural or  artificial  compaction  of




sediments, the dissolution of minerals making up  the solid matrix  under  con-




sideration, the deposition of mineral matter, and,  very  importantly,  the




expansion or contraction of clays  and other fine-grained material  in




response to changes in water chemistry.   The  last example  becomes  very




important when considering the use of artificially-introduced  tracers.







                        Direction  of Water Movement






     In order to complete a tracer test using more than  one  well,  the gen-




eral direction of  ground-water movement  should  commonly  be known.   This is




particularly  true  if  the  travel  of tracers  is to be studied using two wells




with ground  water  flowing under  a natural gradient.  As  a first approxima-




tion,  ground water will flow  in the  direction of the steepest hydraulic gra-




dient.  This direction is generally  perpendicular to lines of equal ground-




water  levels as  defined by water levels in wells penetrating the water-




bearing  zone of  interest (Figure 2.2).




     Unfortunately, local differences in hydraulic conductivity may amount




to several orders of magnitude.  Local flow  directions may then be highly




distorted, and actual directions will diverge widely from directions pre-




dicted on the basis of widely-spaced water wells  (Figure 2.3).  It is not at




all uncommon to inject a tracer in a well and not be able to intercept  that




 tracer in another well just a few meters away, particularly if the tracer




 flows  under the natural hydraulic gradient which  is not disturbed by pump-




 ing.   This problem will be discussed in more detail later in this manual.
                                     11

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       land
     surface
lines of  equal water  elevation
water
table
              water  movement  perpendicular to
              lines of  equal  water elevation
           Figure 2.2.  Contours of the water table are  established by measuring the
           elevation of water levels in wells.  As shown in this figure, ground water
           will flow in the general direction in which the water level slopes.  Unless
           geologic or hydrologic evidence indicates otherwise, ground water is assumed
           to flow exactly perpendicular to the lines of equal water elevation.

-------
                                   land  surface
                      contoured on
                      regional data
                           water table
 less  permeable
    material
                                                      buried
                                                      channel
        •actual movement almost at  right
         angles to  direction predicted  by
         regional  water  levels
Figure 2.3.  Although  regional data from widely separated wells may
suggest a certain direction of ground-water flow, local  zones of high
permeability caused by fractures in rock, solution openings, or local
zones of coarse sediments like that shown in this figure may divert
the flow in an entirely different direction.  This effect is one of
the most common causes of failures in ground-water tracing attempts.
Tracers injected in one well simply do not travel to the sampling
point because of heterogeneities in the system.
                               13

-------
                                Travel Time




              _                                     AL
     The term v In Equation  (3) can be replaced  by  -^ ,  where  At is the


length of time taken by  the  average water  particle  to move  through a dis-


tance of AL.  Then Equations (1)  and  (3) can be  combined and the identical


term A (area) cancelled, resulting in the  equation:



                                    n (AL)2

                                t = 	                            (4)
                                *     KAh                               v '




     This equation can be used to estimate the  time which would be taken by


water to travel from one point to another.   If  a tracer  which  travels with


the water is injected, t is  also  the  travel  time of the  tracer.  The use of


Equation (4) is illustrated  in Figure 2.4.


     One of the common errors in  tracer  tests is to conduct tests between


points which are  separated by too great  a  distance.  As  can be seen in Equa-


tion (4), the expected travel time for a given  head drop is a function of


the distance squared (AL2) and therefore increases  very  rapidly with the


distance, AL.  Thus, a tracer test in one  region using a specific hydraulic


head drop of Ah over a distance of 1,000 meters would take  10,000 times as


long as a test in another region  over a  distance of 10 meters  which has the


same head drop, provided the effective porosities and hydraulic conductivi-


ties are identical.




                  Sorption of Tracers  and Related Phenomena




     Sorption occurs when a  dissolved ion  or molecule becomes attached to


the surface of a  solid or dissolves  in  the solid.  Electrostatic, hydropho-


bic, and chemical forces are involved in sorption.   Various types of



                                      14

-------
                                land  surface
                                                        Aquifer
If  AL = 1000  meters
       then  t=
                  (.3)0000)'
300 days
  Figure  2.4.  The average travel time of ground water between two
  points  A and B can be estimated by means of Equation (4) where the
  gradient, Ah/AL, the hydraulic conductivity, K, and the porosity,
  n ,  are known or can be estimated closely.   The value of Ah in the
  illustration is the difference in the hydraulic head between points
  A and B (490-480 meters).
                               15

-------
sorption are due to Ion exchange,  induced  dipole  moments,  hydrogen bonding,




ligand exchange, and chemical bonding.   The  term  "sorption,"  as used in this




manual, includes the sum of  these  physical-chemical  phenomena.   Commonly,




two different words are used to  describe the broad process of sorption.




These are adsorption, a strictly surficial phenomenon,  and absorption,  a




phenomenon which involves movement of material  from  solution  to sites within




the structure of the solid phase.   Most  sorption  processes which we will




consider are relatively fast, reversible reactions;  that  is,  the dissolved




constituent which  is sorbed  from the water can  be released to the water




again under favorable circumstances.  Cation exchange  is  probably the most




familiar type of adsorption, and is a good example of  reversible sorption.




     Molecules  of  some  tracers  have a  tendency  to be sorbed on the surfaces




of solids for brief periods, after which they move off the solid and into




the water again.   If the water  is  moving,  the tracer molecules move at a




slower rate than the water molecules, because tracer molecules spend part of




their time sorbed  on solids. Thus, the  sorptive  characteristics of a tracer




must be known in order  to design meaningful  tracer experiments.  One equa-




tion for the relative average velocities of  water, vw> and of the sorbed




species, vs, is:
                                                                        (5)
in which  Kj  is  a distribution coefficient,  pb is the bulk dry density, and




n is  the  porosity of  the material in question.  Values of K^ can range from




almost  zero  cm3/gram  to more than 1,000 cm3/gram.  The higher values of K
-------
would mean that the dissolved  species  is  going to  be  almost  stationary  in




comparison with the water.




     The distribution coefficient  of a tracer, Kd, is a complex function of




a number of variables including the  temperature of the system,  the chemical




nature of the tracer, the  concentration of the tracer, and the  concentra-




tions and chemical characteristics of  other dissolved species in the water




within which the  tracer moves.   The  Kd value also depends upon the total




surface area and  the surface chemistry of the solids  in contact with the




tracer.  It may also be dependent  upon the velocity of the water moving past




the  solid surfaces.  Generally speaking, the value of Kd is lowered by




increasing the concentrations of dissolved species in the water.  Solid




materials which tend to sorb material from water will tend to increase the




KJ values of aquifer material.  Some natural  solids with high sorptive




capacities are clay minerals, metal oxides, organic particles, certain




micas,  and natural  zeolites.




      Certain  tracers  discussed later in this  manual will be virtually unaf-




fected  by  sorptive  processes.  Those tracers  are  commonly called  conserva-




tive tracers  because  their concentrations, and hence  their direct relation




to the  moving ground  water, will be conserved if  hydrodynamic dispersion  is




not  considered.




      Although unlikely in most artificially-introduced  tracer experiments,




 the  possibility  of  mineral dissolution or  precipitation should always be




kept in mind.   As a simple example, if  the sulfate ion  is used as a tracer




 in water which moves through  a natural bed of gypsum,  dissolution of the




 gypsum will undoubtedly add  sulfate to  the ground water and  may  confuse  the




 interpretation of the experiment.






                                     17

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              Hydrodynamic Dispersion and Molecular Diffusion






     Two natural phenomena, hydrodynamic dispersion and molecular diffusion,




always work together to dilute the concentrations of artificially-injected




tracers.  These phenomena are complex and their effects are difficult  to




separate in field experiments.  The two phenomena are, however,  theoreti-




cally quite distinct.  Hydrodynamic dispersion is produced by  natural  dif-




ferences in the local ground-water velocities related to the local  differ-




ences in permeabilities (Figure 2.5).  Molecular diffusion is  produced by




differences in chemical concentrations which tend to be erased in time by




the random motion of molecules (Figure 2.6).  Generally, short-term tracer




experiments in permeable material will be affected almost exclusively  by




hydrodynamic dispersion.  In  contrast, the  concentrations of natural tracers




moving very slowly in highly  heterogeneous  materials will be affected  pro-




foundly by molecular diffusion.




     The phenomena of dispersion and diffusion are discussed in greater




detail in Appendix B.  A qualitative picture of the expected effects of dis-




persion, diffusion, and sorption in a simple one-dimensional flow system  is




offered at the end of Chapter 3.
                                     18

-------
    General  direction  of water motion
                                               A)  Initial  position
                                               B))  Position after one hour
                                               CM)  Position after two hours
    INITIAL
  --DISTRIBUTION
    OF  PARTICLES
 DISTRIBUTION OF
 .PARTICLES AFTER
/ONE HOUR
DISTRIBUTION  OF
PARTICLES  AFTER
TWO HOURS
                                DISTANCE


Figure 2.5.   Hydrodynamic  dispersion is caused by unequal velocities  of the
ground water.  In this  figure,  a few molecules of a tracer are assumed to
have been released at the  same  time and subsequently carried by the ground
water towards the right side  of the diagram.  The bottom graph shows  the
general distribution of molecules after one hour and after two hours.  Only
longitudinal dispersion is shown on this two-dimensional diagram.
                                   19

-------
                     -spot of  dye
                           -soaked  blotter-
                           (no  water movement)
                              initial conditions
                              one  hour
                              three  hours
                              one day
      Movement  by  molecular  diffusion
Figure 2.6.  The movement of dissolved material by molecular diffu-
sion can be seen in a blotter saturated with water.  A small dot of
dye will move radially outward in the saturated blotter.  If the
blotter is horizontal, the radial movement of the dye is by molecu-
lar diffusion.
                           20

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                               CHAPTER THREE




                             PRACTICAL ASPECTS







                              Planning a  Test







     The purpose and practical constraints  of a potential tracer  test must




be understood clearly prior  to actual planning  of  tracer  tests  (see Appendix




C).  Is only the direction of water  flow  to be  determined,  or  are other




parameters such as travel time,  porosity, and hydraulic conductivity of




interest?  How much time is  available for the  test?  If answers must be




obtained within a few weeks,  then tracer  tests  using only the  natural




hydraulic gradient between two wells which are  more than about 20 meters




apart would normally be out  of the question because of the long time period




needed for the tracer to flow between  the wells.  Another primary considera-




tion is the budget.  If several  deep holes are  to be drilled,  if packers are




to be set to control sampling or injection, and if hundreds of samples must




be analyzed in an EPA certified  laboratory, then total costs could easily




exceed a million dollars.  In contrast,  some short-term tracer tests may be




possible at costs of less  than a thousand dollars.




     The initial step in determining the physical feasibility of a tracer




test is to collect as much hydrogeologic information as possible concerning




the field area.  The logs  of the wells  at the site to be tested, or logs of




the wells closest  to the proposed site,  should be obtained.  Logs will give




some idea of  the homogeneity of  the aquifer, layers present, fracture pat-




terns, porosity, and boundaries  of the flow system.  Local or regional piez-




ometric maps,  or any published  reports on the hydrology of the area (includ-




ing results of aquifer  tests) are valuable, as they may give an indication




of the hydraulic gradient  and hydraulic conductivity.






                                     21

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     The hydrogeologic information  is used  to estimate  the  direction  and




magnitude of the ground-water velocity  in the vicinity  of the  study area




(Fetter, 1981).  One method to arrive at a  local  velocity estimate  is the  use




of water-level maps together with Darcy's Law,  if transmissivity, aquifer




thickness, and head values are available (see Chapter 2).   The  second method




involves using a central well with  satellite boreholes,  and running a prelim-




inary tracer test.  The classical method for determining the regional flow




direction is to drill three boreholes at extremities of  a triangle, with  the




sides 100-200 meters apart (Figure  3.1).  The water levels  are  measured and




the line of highest slope gives  the direction of  flow.   However,  regional




flow is generally not as important  as local flow  in most tracer tests,  and




the importance of having an accurate flow direction cannot  be  overemphasized.




Caspar and Oncescu (1972) described a method to determine local flow  direc-




tion by drilling 5-6 satellite wells in the general direction  of  flow.  They




noted that the satellite boreholes  should be at a minimum distance  of 8x  the




well diameter from the injection well.  The boreholes should be screened  and




gravel packed to avoid well-bore effects.   Commonly, the boreholes  are 2-3




meters from the central well.  The  advantage of knowing the general flow




direction is that fewer observation wells will  eventually be drilled.  If  a




preliminary value of the magnitude  of the natural velocity  of  the aquifer  is




available, then the injection or pumping rate necessary to  obtain radial  flow




can be determined.  Also, when a velocity magnitude is  obtained from  the  pre-




liminary test or available data, a  decision as  to the distance  from the




injection well to observation well(s) can be made.  This decision depends  on




whether the test is a natural flow  or induced flow (injection  or  pumping)




type test.  Natural flow tests are  less common  due to the greater amount  of




time involved.





                                     22

-------
                             Water level  elevation • 391 m
                             Observation Well  *M
NJ
OJ
                                        Area of
                                        proposed
                                        tracer  test
                                                                           Water level elevation « 382 m
                                                                           Observation  Well # 3
                       Water  level elevation • 387
                       Observation  Well # 2
       Figure 3.1.  For tests using artificially-injected tracers which will flow by a natural  ground-water
       gradient from one well to another,  it  is  essential to know the direction of ground-water flow  prior
       to the final design of the tests.   One method  to estimate this direction is to construct a local
       water-level map near the site of the test and  assume that the flow is going to be perpendicular to
       the lines of equal water elevation.   The  minimum number of wells needed for the water-level map is
       three, as shown in this hypothetical example.

-------
     A second major consideration when planning a  test  is which  tracers  are




the best for the conditions at the site and  the objectives  of  the  test.   Sam-




ples of well water should be analyzed for background  values of relevant




parameters, such as temperature, major ions, natural  fluorescence,  fluoro-




carbons, etc.  Choice of a tracer will depend partially on  which analytical




techniques are easily available (see Appendix E) and  which  background  con-




stituents might interfere with these analyses.  Various analytical techniques




incorporate different interferences, and consultation with  the chemist or




technician who will analyze the samples is necessary.




     Determination of the amount of tracer to inject  is based  on the natural




background concentrations detection limit for the  tracer and the dilution




expected (Figure 3.2).  If a value for porosity can be  estimated,  the  volume




of voids in the medium can be calculated as  the volume  of a cylinder with one




well at the center and the other a distance  away.   Adsorption, ion exchange,




and dispersion will decrease the amount of tracer  arriving  at  the  observation




well, but recovery is usually not less than  20% (of the injected mass) for




two-hole tests using a forced recirculation  system and  conservative tracers.




The concentration should not be increased so much  that  density effects become




a problem.  Lenda and Zuber (1970) gave graphs which  can be used to estimate




the approximate quantity of tracer needed.   The values  are  based on estimates




of the porosity and dispersion coefficient of the  aquifer.






                           Types of Tracer Tests






     The variety of tracer tests is almost infinite when one considers the




various combinations of tracer types, local  hydrologic  conditions, injection




methods, sampling methods, and the geological setting of the site  (Appendix
                                     24

-------
100
           IO
            1.0
              Mg/1
                 Injected 4/25
                  nlected 4/27
                               AMINO 6 ACID
                               RHODAMINE WT
                               Injection well
           to   r
            i.o -
            O.OOI
              4/25 5/1 5/10 5/20  6/1  6/IO 6/20  7/1  7/10 7/2O

                            DATE
Figure 3.2.  Results  of tracer tests at the Sand Ridge State Forest,
Illinois.  The aquifer was a fine to medium coarse  dune sand in the
upper part and a medium to coarse sand in the lower part.   Three in-
jection wells 3 ft  apart were used to make 3 separate  injections of
Lissamine FF (green dye), Amino G Acid (blue, optical  brightener),
and Rhodamine WT  (orange dye).  A slug having a uniform concentration
of ]00 mg/1 was used.   Lissamine was not detected in any of the obser-
vation wells during the duration of the test.  Dilution in the injec-
tion wells and movement of the dye was entirely by  ground water flowing
under a natural gradient of 1.5 x 10~3.  Variations of shapes of break-
through curves are  caused by heterogeneities in the aquifer.  Note  the
ten-thousand fold decrease of concentration of Rhodamine produced by
only 50 ft of flow.  (Data from Naymik and Sievers, 1983).
                                  25

-------
C).  Some of these varieties  are  shown  in Figure  3.3.   The  following sections




discuss a few of the more  common  types  of tracer  tests.




     Differences in the  tests are  due to  the  parameters (such  as  velocity,




dispersion coefficient,  and porosity) which are to  be  determined,  the scale




of the test, and the number of wells to be used.







Single-Well Techniques




     Two techniques, injection/withdrawal and point dilution,  give values of




parameters which are valid at a local scale.   Advantages of  single-well tech-




niques are:  (1) less tracer  is required  than for two-well  tests;  (2) the




assumption of radial flow  is  generally  valid  so natural aquifer velocity can




be ignored, making solutions  easier; and  (3)  knowledge of the  exact direction




of flow is not necessary.




     Injection/Withdrawal




     The single-well injection/withdrawal (or pulse) technique results in a




value of pore velocity and the longitudinal dispersion coefficient.  The




method assumes that porosity  is known or  can  be estimated with reasonable




accuracy.  A given quantity of tracer is  instantaneously added to the bore-




hole, the tracer is mixed, and then 2-3 borehole  volumes of  fresh water are




pumped in to force the tracer to penetrate the aquifer.   Only  a small quan-




tity is injected so that natural flow is  not  disturbed.   After a  certain




time, t, the tracer has  traveled a distance X, due  to  uniform  flow.  Then the




borehole is pumped out at a constant rate which is  large enough to overcome




the natural ground-water flow.  Tracer  concentration is measured  with time  or




pumped volume.  This enables one to find  the  distance  traveled, X, by the




relationship:







                                    26

-------
Figure 3.3.  A number of common configurations for ground-water
tracing by the use of artificially-injected tracers are shown in
the following diagrams.  Although single tracers are shown in
most of the diagrams, most tests can use more than one tracer.
Also, the purposes are varied and only the most obvious ones are
mentioned.  Sampling of the initial mixture of the tracer and
water prior to injection is not shown but is almost always re-
quired if quantitative results are to be obtained.
                               27

-------
                sink
                                     sampling point
                                                     spring
                                         Fractured  rock
                                     &;.• Tracer
                              (O)
Determine if trash in sinkhole contributes to contamination  of spring.
                                                 sampling  point


                                                   cave stream
                                                  71
                             (b.)
            Measure velocity of water in  cave stream.
                            28

-------
             Tj  sinking stream
                                                  sampling  point
                                   CcJ
              Check source of water at  rise  in stream bed.
                                                     sampling  point
                                   (d.)
Determine if  tile  drain from septic tank contributes to contamination
of well.
                             29

-------
                      three
                      different
                      tracers
         waste-water
            lagoon
yy.M .......,«. ^rn n nun!
  '                       *
' toilet
                landfill
                                                                   sampling  poinf
            Determine  source  of  pollution from  three possibilities.
                                     _
                    _—jwater table
                                       ,   sampling point
                                     IlllIB
                                     mm
                                     nun
                                     nun
                                     Him
                                     mm
                                     nun
                                          * f / // / // / / / //
                                     (f.)
     Determine velocity and direction of ground-water  flow  under  natural
     conditions.  Injection followed by sampling  from  same  well.


-------
/// //TV// /////'
                                             water table
                                 • zone  of injected tracer
                                 (gj
 Test precipitation of selected constituents  on  the aquifer material
 by  injecting multiple tracers into aquifer then pumping back the
 injected water.
                      ^M>*




                      1
sampling  point
77 j in i



_ '»


TTTTTTTTTT
	 water
" • .".'.'•

^^v>


7 / / / 1 1 1 / /
table

                                (h.)
 Test velocity of movement of dissolved material  under natural
 ground-water gradients.

-------
                              multi-level
                                 sampling
                        •                      T

                                    1          t

////////// ///
'. •"•••"..
:••:••••::••
• • ••.«.
•• • • . . •
. • • . . • •
.• • . • • *

i
''*//// //
^^^ ^"^^* ^^^M
~*S
• 1
• .... 1
• • ' . .
« * * 1
. « »


^^•^^^^^^
•



777777777777777777"
J^ater^ fable



                                   (i.)
 Test hydrodynamic dispersion in aquifer under natural ground-water
 gradients.
                   sampling
                    point
           pumped
             well
                                Itafi
injection
  well
                     /////////////////
                                             ////// ////))} f 1
                                  (j.)
Test a number of aquifer  parameters using a pair of wells with forced
circulation between wells.
                              32

-------
                                           sampling
                                             point
    packers
                                |  \y I} )n i >) it 7-




                                   \  ^,x- fractured
  granite

packers
                       uncased
                         holes
                          (k.)
Determine the interconnect fractures between two uncased holes.
Packers are inflated with air and can be positioned as desired in

the holes.
                            33

-------
                         sampling points

                                               water
                                               table
                                (1.)
Determine  the  direction and velocity of  natural ground-water flow by
drilling an  array of sampling wells around  a  tracer injection well.
                                             4 sampling point
                                               at pumping  well
  till i 11 j f urrrn
J
If 11111' i ill II'
                                (m.)
          Verify  connection between surface water and well

-------
                                     ?rbn






where VSQ = volume pumped to recover  50%  of  the  mass  injected;




      b   = aquifer thickness; and




      n   = porosity.







     Average velocity  is then —,  where  t  is  time from initial injection




to the time when pumping started.   If concentration is measured at various




depths with point samplers, relative permeability of  layers can be deter-




mined.  The dispersion coefficient  is obtained by matching experimental




breakthrough curves with theoretical curves  based on the general dispersion




equation.  A finite difference method is  used to simulate the theoretical




curves (Fried,  1975).   Some assumptions of the theory are homogeneous, hori-




zontal, and independent strata.   Fried concluded that the method is useful




for  local  information  (2-4 meters)  and for detecting the most permeable




strata.  An advantage  of  this  test  is that nearly all of the tracer is




removed from the  aquifer  at  the  end of the test.




      Borehole  Dilution



      Borehole  dilution techniques are also described in Chapter 4 under radi-




oactive  tracers.   This technique can be used  to measure the magnitude  and




direction  of horizontal tracer velocity and vertical flow.  Also, hydraulic




conductivity values can be obtained by applying Darcy's law.




      The  procedure is  to introduce a known quantity  of  tracer  instantaneously




into the  borehole,  mix it well,  and  then  to measure  the concentration




decrease  with  time.  The equation used to determine  velocity  is
                                      35

-------
                                  r In  (C  /c)
                              V = 	-	
                                      4 tn


where r = borehole radius;


      t = time of observation; and


      n = effective porosity.


     Often a correction term for distortion  of  flow  due  to  the  borehole is


added.  The tracer is generally introduced into an isolated volume  of  the


borehole using packers.  Radioactive  tracers have been used frequently for


borehole dilution tests, but other tracers can  be used.


     The lower limit of the aquifer velocity for use of  this method is


V = 0.01 m/a, due to diffusion.  The  upper limit is  a few hundred meters per


day because flow is no longer laminar.  Other assumptions related to this


technique are:


     (1) Borehole dimensions are well known.


     (2) Measurements are taken after steady flow has been  estab-


         lished (well screen does not alter  flow).


     (3) If possible, borehole construction  should be such  that


         vertical flow is not present.


     (4) If the borehole is screened, the  gravel pack should be


         homogeneous with respect to  permeability.    Also,  the


         screen and gravel pack should  be  arranged concentrically


         within the borehole.


     Other factors to keep in mind when conducting a point  dilution test


are the homogeneity of the aquifer, effects  of  drilling  (mudcake, etc.),


homogeneity of the mixture of the tracer and the well water, degree of


tracer diffusion, and density effects.  A  number of  methods are available to


correct for well construction, vertical currents, and other factors (Caspar


and Oncescu, 1972).


                                    36

-------
     The ideal condition for  conducting  the  test  is  to  use  a borehole with




no screen or gravel pack.  If  a  screen is  used,  it  should be next  to  the




borehole as dead space alters  the  results.   Samples  should  be very small  in




volume so that flow is not disturbed by  its  removal.




     The time versus concentration curve will be  linear in  a middle section




of the plot.  Velocity determinations are  reasonably accurate if the  linear




region is in the area of c/co <  0.50. For more information on this type  of




test, see Caspar and Oncescu  (1972), Fried (1975),  and Klotz et al. (1978).




     The direction of ground-water flow  can be measured in a single borehole




by a method similar to point  dilution.  A tracer (often radioactive)  is




introduced slowly and without mixing.  A section of the borehole is usually




isolated by packers.  After  some time, a compartmental sampler (4-8 compart-




ments) within  the borehole  is opened.  The direction of minimum concentration




corresponds to the flow  direction.  Another similar method  is introduction of




a radioactive  tracer  and subsequent measurement of its adsorption on the




borehole or well  screen  walls by means of a counting device  in the hole.   The




method  is described  in more  detail in Caspar and Oncescu (1972).







Two-Well Techniques




     These methods  consist of two types, uniform (natural)  flow and radial




flow tests.   The  parameters measured  (dispersion coefficient and  porosity)




are  assumed  to be the same for both  types of flow.




     Uniform  Flow



     A tracer is  placed in one well  without  disturbing the  flow field  and




a signal  is measured at observation  wells.   This test  can  be used at a local




 (2-5 m) or  intermediate (5-100 m) scale,  but the time  involved  in the  test




 is much larger than that related  to  radial  tests.   The direction  and







                                      37

-------
 magnitude  of  the  velocity must be known quite precisely, or a large number of




 observation wells are  needed.   The quantity of tracer needed to cover a large




 distance can  be expensive.   On a regional scale,  environmental tracers are




 generally  used, including seawater intrusion, radionuclides, or stable iso-




 topes  of hydrogen and  oxygen.   Man-made pollution has also been used.  For




 regional problems,  a mathematical model is calibrated with concentration ver-




 sus  time curves from field data,  and the same model is used to predict future




 concentration distributions.




     Analysis of  local or intermediate  scale uniform flow problems can be




 done analytically,  semi-analytically, or by curve-matching.  Layers of dif-




 ferent permeability can cause  distorted breakthrough curves, which can usual-




 ly be  analyzed (Caspar and Oncescu,  1972).  One-  or two-dimensional models




 are available.  Analytical solutions can be found in Fried (1975)  and Lenda



 and Zuber  (1970).




     Radial Flow




     These techniques  are based  on imposing a velocity on the aquifer, and




 generally  solutions are  easier  if  radial flow is  much greater than uniform




 flow.  A value for  natural  ground-water velocity  is not obtained,  but poros-




 ity and the dispersion coefficient are  obtained.




     A diverging  test  involves  constant injection of  water into an aquifer




with a slug or continuous flow  of  tracer introduced instantaneously into the




 injected water.  The tracer is  detected at an observation well which is not




pumping.  Very small samples are  taken  at  the observation well so  that flow




 is not disturbed.   Packers  can be  used  in  the injection well to isolate an




interval.  Sampling can  be  done with point samplers or an integrated sample




can be taken.






                                     38

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     Converging tests involve  introduction of  the  tracer  at  an observation




well, and another well is pumped.   Concentrations  are  monitored at  the  pumped




well.  The tracer is often  injected between two packers or below one  packer,




and then 2 to 3 well bore volumes  are  injected to  push the tracer out into




the aquifer.  At the pumping well,  intervals of interest are isolated (par-




ticularly in fractured rock),  or an integrated sample  is obtained.




     A recirculating test is similar to a converging test, but the pumped




water is injected back into the  injection well.  This  tests a significantly




greater part of the formation  because  the wells inject to and pump from 360




degrees.  The flow lines are longer, partially canceling out the advantage of




a higher gradient.  Theoretical  curves are available for recirculating tests




(see Sauty, 1980).






                    Design  and Construction of Test Wells






     In many tracer tests,  the construction of test wells is the single most




expensive part  of the work.  It  also can be the source of major difficulty




if  the construction  is  not  done  properly.  Several texts  cover the general




details of  drilling  technology and well construction  (California Department




of  Water Resources,  1968;  Campbell and Lehr,  1973; Johnson Division, UOP,




Inc.,  1972; Todd, 1980)  and therefore they are not discussed in this manual.




     Five common  types  of  problems are encountered with  tracer tests.  The




first  problem  relates  to site selection.   If  heavy equipment  is to be moved




into an area,  lack  of  overhead clearance,  narrow  roads,  poor bearing capaci-




ties of bridges,  and the lack of flat ground  at the site can  all be major




problems.   Also,  overhead electrical power  lines  at the  site  should  be




avoided.  One  of  the most common hazards  is accidental grounding of  power
                                      39

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lines by drill rigs and auger  stems with  subsequent  electrocution of




workers.




     The second problem relates  to the  improper  choice  of  drilling equipment.




For some purposes, cheap systems using  hand  augers and  drive  points are suit-




able to install wells for shallow tracer  tests  (Figure  3.4).   To be sure,  a




large drilling rig could be moved into  the site  to do the  same job, but with




at least a ten-fold increase in  cost which would be  a major misuse of funds.




The error is commonly the other  direction, however,  with attempts to hold




down the cost resulting in the use of drilling  equipment which is unable to




handle the needs  of the project.  Another general problem  relating to drill-




ing is the use of drilling fluids which will affect  the tracer tests.  Cer-




tain drilling muds and mud additives have a  very high capacity for the sorp-




tion of most types of tracers.   The muds  could  also  clog small pores and




alter the permeability of the  aquifer near the  drill hole.  The use of com-




pressed air for drilling may avoid some of these problems  but it could intro-




duce atmospheric  fluorocarbons which could interfere with  tracer tests using




fluorocarbons.




     A third problem is the choice of casing diameter.   Ideally, packers




should be used to isolate the  zones being sampled from  the rest of the water




in the well (Figure 3.5).  For a number of reasons which include economics,




insufficient time, and lack of technical  training, packers are often not used




in tracer tests.  In this case,  the diameter of  the  sampling  well should be




as small as possible in order  to minimize the amount of "dead" water in the




well during sampling.  The diameter, however, cannot be too small because the




well must be adequately cleaned  after installation and  the well must accommo-




date bailers, pumps, or other  sampling  equipment. Common  casing diameters
                                     40

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                  '
Figure 3.4a.  Well installation for a simple tracer test.
Two home-made drive points of iron pipe crimped at the ends
and perforated by drilled holes are on the left and two
standard wire-wound commercially available drive points are
on the right.  Extension pipe is screwed onto the ends of
the drive points in order to reach desired depths.  Unless
special jetting equipment is used, drive points can usually
penetrate only 20 to 30 feet of alluvium.

-------
                                             -**» * .
Figure 3.4b.  Hammer used to install drive points.  The hammer
which is shown in this picture is a hollow weighted tube with
one closed end and side handles.  If alluvium has coarse gravel
or cobbles, home-made drive points will collapse easily.
                          42

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                 : v
                                 •a*.
Figure 3.4c.  Tracer water being injected into a shallow
test hole.  Instrument is a thermistor  thermometer.
                         43

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         SOLUTE   TRANSPORT   TESTING  SYSTEM
TRACER INJECTION SYSTEM
                                             TRACER  SAMPLING  SYSTEM
  HIGH FLOW
RATE INJECTION
  PANEL
              High
             Flow Rota
             Rftcirciilgf
   TRACER SUPPLY
 LOW FLOW
RATE INJECTION
 PANEL
             Low
             Flow
             Tracer
                        FRACTURED ROCK AQUIFER
                                                            ELECTRONIC DATA
                                                               LOGGING
                                                              EQUIPMENT
                                                     HOSE
                                                     REEL
                                                                SAMPLING
                                                                 SYSTEM
                                                                CONTROL
                                                                 UNIT
                                                           GROUND LEVEL
         PRESSURE
        TRANSDUCER
         HOUSING

          UPPER
         PACKER

        CONNECTING
          PIPE

       DEAD VOLUME
        SECTION

   TRACER INJECTION
       NOZZLES
   CONNECTING  PIPE
         LOWER
        PACKER
                                                      MIXING PUMP
                                                      SAMPLE PUMP

                                                      MIXING NOZZLES
                                                            Culler.,1984
   Figure  3.5.   (a)  Schematic diagram for a two-well tracer test in
   fractured  rock  completed  at Oracle, Arizona, by the Department of
   Hydrology  and Water  Resources,  University of Arizona.  The follow-
   ing photograph  shows the  control panel for the high-flow rate
   injection  with  storage  tanks for four different tracers arranged
   on top  of  the panel  box.   This  is an example of a tracer test which
   is more complex than commonly attempted for practical applications.
   Diagram, courtesy of James Cullen.

-------
Figure 3.5.  (b)  High flow rate injection panel shown in
diagram in Figure 3.5a.
                           45

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used range from about 1" to 4" for relatively  shallow  test holes  to  as  much




as 6" to 8" for very deep tests.




     The type of casing to be used is a fourth concern primarily  if  low-level




concentrations of tracers are to be used, and  in  particular  if  these tracers




are organic compounds or metallic cations.  For plastic  casings,  TEFLON




absorbs and releases less organics than does PVC.  Adhesives used to connect




sections of plastic pipes may be also a troublesome  source of  interferring




organic compounds.  Metal casing could release trace metals  but it is gener-




ally superior to plastic casing in terms  of strength and sorptive character-




istics.  Inexpensive metal casing, however, will  have  a  short  life if ground




waters are corrosive.



     A fifth problem is that of the choice  of  filter construction for the




wells which depends on the aquifer and the  type of  test  to be  completed.   If




the aquifer being tested is a very permeable coarse  gravel and if the casing




diameter is small, then numerous holes drilled in the  solid  casing may.be




adequate.  In contrast, for a single-well test with  an alternating cycle  of




injection and pumping of large volumes of water into and out of loose,  fine-




grained sand, an expensive well screen with a  carefully  placed gravel pack




may be required.  Regardless of the type  of filter used, it  is absolutely




essential that the casing perforations, gravel pack, or  screen as well as the




aquifer at the well be cleaned of silt, clay,  drilling mud,  and other mate-




rial which would prevent the free movement  of  water  in and  out of the well.




This process of cleaning or development is  so  critical that  it should be  spe-




cified in clear terms in any contract related  to  well  construction.
                                     46

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                       Injection and  Sample  Collection






     Injection equipment depends on the  depth of  the borehole  and the funds




available.  In very shallow holes, the  tracer can be lowered through a tube,




placed in an ampule, which is  lowered into the hole and broken,  or just




poured in.  Mixing is desirable and important for most types of  tests and is




simple for very shallow holes.  For example, a plunger can be  surged up and




down in the hole or the release of the tracer can be through a pipe with many




perforations.  Flanges on the  outer part of  the pipe will allow the tracer to




be mixed by raising and lowering  the  pipe.  For deeper holes,  tracers must be




injected under pressure and equipment can be quite sophisticated.  Figure 3.5




is an example of a high-pressure  injection system.  The interval of interest




in the borehole is usually packed  off.  This equipment is often custom built




for a specific experiment, as  tracer  injection systems for water wells are




not yet available commercially.   As  mentioned before,  instantaneous injection




is the ideal condition.   For  a pulse  test,  this may mean an injection period




of a minute or an hour,  depending on the equipment.  The equipment  shown  in




Figure 3.5  is described  in  detail in Simpson et al. (1983) with  details  of




work  conducted in fractured  rock by  the Department  of  Hydrology  at  the Uni-




versity of Arizona.




      Sample collection can also be simple or  sophisticated.   For  tracing




thermal pulses,  only  a thermistor needs to  be lowered  into  the  ground water




 (Figure 3.6).  For  chemical tracers  at  shallow depths,  a hand pump  may be




 sufficient.   Bailers  can also be used,  but  they  mix the  tracer  in the  bore-




hole  which,  for  some  purposes, should be  avoided.   A TEFLON bottom-loading




bailer  is described in Buss and Bundt  (1981).  It  may  be  desirable  to  clear




 the  borehole  before taking a  sample,  in which case a gas-drive  pump can  be
                                      47

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Figure 3.6a.  Small digital thermometer with thermistor
line in observation well.  A thermal pulse produced by
injecting warm water is being measured at this point.
                          48

-------


Figure 3.6b.  Recording data from test.  Although thermistor
signals are easily recorded automatically, hand recording is
satisfactory for many low-budget, short-term tests.
                          49

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used  to evacuate  the well.   For  a nonpumping system,  the decision as to how




much  water must be withdrawn from a borehole in order to obtain a sample




which is representative  of  the water adjacent to the  borehole is not a




trivial problem.  If not enough  water is  taken out,  the sample composition




will  be influenced by  semistatic water which will normally  fill much of the




well.  If too much water is  drawn out,  a  gradient towards the well will be




created and  the natural movement of the tracer will  be distorted.  A common




rule  of thumb is  to pump out four times the  volume of water which is in the




well  before  the sample is taken  (see Figure  3.7).




      If existing  wells which have been drilled for water-supply purposes are




used  for tracer tests, extreme care is required because of  the complex rela-




tionship among such variables as pumping  rates, patterns of water circulation




within the well,  and the yields  of different parts of the aquifers which are




penetrated.  This complexity is  reflected commonly in the variability of




water chemistry as a well is being pumped (Keith et  al., 1982;  Schmidt,




1977).  Stated simply, for wells drawing  water from  complex aquifers or a




series of aquifers, an analysis  of a single  water sample taken at a given




point in time cannot yield definitive information about the water chemistry




of any individual zone.




     Many systems for sampling in wells have been described in recent years.




Ground Water Monitoring Review is a good  source of current  techniques.




Multi-level  samplers are described in this journal by Cherry and Johnson




(1982) and Pickens et al. (1981).   For  more  information on  gas-driven and




positive displacement sampling devices, see  Robin et  al. (1982),  Morrison




and Brewer (1981), and Gillham and Johnson (1981).
                                    50

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                   Zinc  (February)
                     Zinc (August)
                     2468
                      WELL  VOLUMES  PUMPED
Figure 3.7.  A difficult problem in field tests  is  to obtain
a representative sample from an open test hole.   Results of
the analyses of successive samples taken from a  small test hole
are shown in this diagram which show that useful samples appear
to be obtained after pumping 4 well volumes  out  of  the hole.
However, the number of well volumes needed varies with the hy-
draulic gradient, the well construction,  the permeability of the
zone being sampled, the type of tracer used, and the volume of
water initially in the well.  Diagram is adapted from Gibb,
Sehuller, and Griffin (1981).
                            51

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     The preservation and analysis of samples  is  covered  in  Chapter  4  and




Appendix C.  Keith et al. (1982) also cover  some  of  the practical  problems




involved with sample collection, analyses, and quality control.






                          Interpretation  of  Results






     The following remarks and figures  are intended  only  as  a brief  qualita-




tive introduction to the interpretation of the results of tracer  tests.   More




extensive and quantitative treatments are found  in the works of  such authors




as Halevy and Nir (1962), Theis  (1963), Fried  (1975), Custodio (1976), Sauty




(1978), Grisak and Pickens (1981), and  Gelhar  (1982).




     The basic plot of  the concentration  of  a  tracer as  a function of  time




or water volume  passed  through  the system is called  a breakthrough curve.




The concentration is either  plotted  as  the actual concentration (Figure 3.2)




or, quite commonly, as  the ratio of  the measured tracer  concentration at the




sampling point,  C, to the input  tracer  concentration, CQ  (Figure  3.8).




     The measured quantity which is  fundamental  for  most  tracer tests is the




first arrival time of the tracer as  it  goes  from an  injection point to a




sampling point.  The first arrival time conveys  at least  two bits of informa-




tion.  First, it indicates that  a connection for ground-water flow actually




exists between the two  points.   For  many  tracer  tests,  particularly in karst




regions, this is all the information which  is  desired.   Second,  an approxima-




tion of the maximum velocity of  ground-water flow between the two points may




be obtained if the tracer used  is conservative.




     Interpretations more elaborate  than  the two simple  ones mentioned




depend very much on the type of  aquifer being  tested, the velocity of ground-




water flow, the  configuration of the tracer  injection and sampling systems,




and the type  of  tracer  or mixture of tracers used in the test.





                                     52

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                     ditch filled  with tracer
                     having  a concentration of
                                          sampling  well with water
                                          having a tracer concentration of C
/
                                       tracer front
                          (a.)
     c/c
         0
       1.0


       0.5


       0.0
time of first
  arrival
                     ^tirne  of maximum
                     rate  of change of C
                              •> time
                       B
                          (b.)
  Figure 3.8(a).   Ditch into which a tracer is  injected continuously
  and mixed with  the water in the ditch to produce water with an ini-
  tial fixed tracer concentration of CQ.  The arrival of the tracer
  front is studied by  taking samples from the well that is downgradi-
  ent from the ditch.  (b) The breakthrough curve obtained from in-
  jecting tracers into the ditch.
                                 53

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Next after the first arrival time,  the most  interest  is  commonly  centered on




the arrival time of the peak concentration for  a  slug injection,  or  for  a




continuous feed of tracers, the time  since injection  when  the  concentration




of the tracer changes most rapidly  as a function  of time (Figure  3.8).   In




general, if conservative tracers are  used, this time  is  close  to  the theoret-




ical transit time of an average molecule  of  ground water traveling between




the two points.  The "spread" of the  curve is also of interest, and  can  be




related to the combined effects of  hydrodynamic dispersion and molecular dif-




fusion (Figure 3.9).




     If a tracer is being introduced  continuously into a ditch penetrating




an aquifer as shown in Figure 3.8,  then the  ratio C/CQ will approach 1.0




after the tracer starts to pass the sampling point.   The ratio of 1.0 is




rarely approached in most tracer tests in the field,  however,  because waters




are mixed by dispersion and diffusion in  the aquifer  and because  wells used




for sampling will commonly intercept  far  more ground  water than has  been




tagged by tracers (Figure 3.10).  Ratios  of  C/CO  in the  range  of  between




10~5 and 2 x 10"1 are often reported  from field tests.




     If a tracer is introduced passively  into an  aquifer but is recovered by




pumping a separate sampling well, then various  mixtures  of the tracer and




the native ground water will be recovered depending on the amount of water




pumped, the transmissivity of the aquifer, the  slope  of  the water table,




and the shape of the tracer plume.  Keely (1984)  has  presented this  problem




graphically with regards to the removal of contaminated water  from an




aquifer.




     With an introduction of a mixture of tracers, possible interactions




between the tracers and the solid part of the aquifer may  be studied. If
                                    54

-------
        .0
       0.5
       0.0
                                                time
Figure 3.9.  Breakthrough curves _a and b_ were obtained from
tests in two different media.  Test a_ shows only a moderate
amount of dispersion while test b_ shows a rather high amount
of dispersion.  Tests _§_ and c_ were conducted at the same time
in the same material but with different tracers.  The displace-
ment of the test curve _c to the right of the diagram is caused
by sorption of the tracer on the solid material in contact with
the water.
                           55

-------
                           ditch filled with tracer
                           which  supplies 1/4 of
                           downgradient ground-
                           water flow.
                                            sampling well
                   / f ////////// //////// ' f s
                               (a.)
              '0
            0.50^


            0.25


            0.00
                                       time
                              (b.)
Figure 3.10.  Most tracer  tests do not fully saturate the
aquifer with the tracer being injected.   This is shown in
diagram (a).  The resulting breakthrough  curve, diagram (b),
therefore, will never increase to the C/C value of 1.0.
                                       o
                           56

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interactions take place, they can be  detected  by  comparing breakthrough




curves of a conservative tracer with  the  curves of  the  other  tracers  being




tested (Figure 3.11).  A common strategy  for  these  types of tracer  tests  is




to inject and subsequently remove the water  containing  mixed  tracers  from a




single well.  If injection is rapid and pumping to  remove the tracer  follows




immediately, then a recovery of almost all the injected conservative  tracer




is possible.  If the pumping is delayed,  the  injected tracer  will drift




downgradient with the general flow of the ground  water, and the percentage




of the recovery of the conservative tracer will be  less as time progresses.




Successive tests using longer delay times between injection and pumping  can




then be used to estimate ground-water velocities  in permeable aquifers with




moderately large hydraulic gradients.




     The methods of quantitative analyses of  tracer breakthrough curves  are




generally by curve-matching of computer-generated type  curves, or by analyt-




ical methods.  Analytical methods are covered in  Fried  (1975).  Sauty (1978)




provided solutions for solute transport for different flow fields (linear




and radial) and for diverging and converging conditions.  He covered contin-




uous and slug injection.  Sauty  (1978) presented  a finite difference method




to be used with converging and diverging  problems;  the  program is called




RAMSES.  Carrera and Walter  (1985, manuscript in preparation) developed a




similar, more accurate program called CONFLO for  use in converging problem.




     An example of a type curve  is  given in Figure 3.12.  The match can be




done by eye or by computer.
                                     57

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0.05 -
0.00
                                                        time
 Figure  3.11.   In this hypothetical diagram, four different tracers
 are mixed and  injected as a single slug into an aquifer.  As can be
 seen  in the resulting breakthrough curves, tracer a_ is conservative,
 tracer  b_ shows some effect of sorption on the aquifer, tracer c_
 shows a large  effect of sorption, and tracer d_ is precipitated or
 destroyed before a significant amount reaches the sampling point.
 The destruction can be by radioactive decay, by chemical decompo-
 sition,  or by  the metabolic action of microorganisms.
                                58

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Figure 3.12.  Computer-generated  type  curves  are  used for a two-well  test  in
which one well is used for  injection and the  other for sampling to find dis-
persivity (a) and porosity  (<)>)•   The vertical axis is dimensionless concen-
tration, defined as the following:
                            cD
where irr2b = volume of  the  cylinder defined by the injection and
              withdrawal of  wells;

          b = thickness  of aquifer;

          r = distance between wells;

          C = measured concentration at time t; and

          M = mass  of  tracer injected during the test.

The horizontal  axis is reduced time, defined as:
where  t  =  time  of  sampling;

       Q  =  pumping  rate.

When analyzing  a test,  the tracer test results are plotted as log C versus
log t  on the  vertical and horizontal axes, respectively.  The experimental
curve  is matched with a type curve, keeping axes parallel.  From the match
curve,  the Peclet  number is found.  The Peclet number  (Pe) is equal to r/a,
so the dispersivity is obtained.  Next, a match point  is  chosen for any
point  on both curves.  The equation for reduced time is used, and all values
except  are  known.  Then,
                           Q =
                                m:2btR
                                                                          (10)
 To verify the validity of the method,  the  dimensionless  concentration  equa-
 tion is used.  From the matchpoint, C  and  CD  are known.   If  CD =  (irr b<|>C)/m,
 the method has been verified.  These type  curves were  developed  by Hydro-
 GeoChem, Inc., of Tucson, Arizona, 1984.
                                      59

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                                   I   I   I   I  I
                              3   456789
                                                 10
Reduced  Time (Log Scale)
    60

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                                CHAPTER FOUR




                              TYPES OF TRACERS






     In this chapter, information is presented concerning various types of




tracers, including water temperature, solid particles  (yeast, bacteria,




spores, etc.)> ions, organic acids, dyes,  and radioactive tracers.  The




final section of the chapter deals with environmental  tracers,  such as




stable isotopes and radionuclides.  Each  tracer  type will be discussed




regarding its applicability in different  hydrologic  settings, the field




methods used (necessary equipment and sampling techniques), and type  of




detection used.  Additional information  (interpretation of  results, cost  of




the tracer, and environmental and health  concerns)  is  presented at  the con-




clusion of each subsection.






                                Temperature






     The temperature of water changes slowly  as  it  migrates through the  sub-




surface, because water has a high  specific heat  capacity compared  to  most




natural materials.   For example,  temperature  anomalies associated with the




spreading of warm wastewater in  the  Hanford Reservation in  south-central




Washington have been detected more  than  8 km (5  miles) from the source (U.S.




Research and Development Adm., 1975).




     Water temperature is a potentially  useful  tracer, although it  has not




been used frequently.  The method should be applicable in granular  media,




fractured rock, or  karst regions.   Keys  and Brown (1978) traced thermal




pulses  resulting from  the artificial recharge of playa lake water  into the




Ogallala Formation  in  Texas.  They described the use of temperature logs




(temperature measurements at  intervals  in cased holes) as a means  of







                                     61

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detecting hydraulic  conductivity  differences  in an aquifer.   Temperature




logs have also been  used  to determine  vertical  movement  of water  in a bore-




hole (Keys and MacCary, 1971; Sorey, 1971).




     Heat is transmitted  by convection (transport  of  heat by  fluid  flow) and




conduction (due to temperature gradients within the saturated material).




Assuming that convection  dominates, Keys and  Brown (1978) demonstrated the




use of a simple temperature model to estimate a ratio of 1:3  for  the veloc-




ity of the temperature pulse compared  to the  water velocity  in a  granular




material.  The actual ratio depends on aquifer  porosity, density  of the




aquifer material and of water, and the heat capacity  of  the  aquifer material




and of water.  They  concluded that the actual relationship between  the rate




of transmission of a thermal wave in an aquifer and the  velocity  of water




was unknown.  However, water most certainly has a  higher velocity than the




temperature pulse.




     Laboratory column tests have  been performed to compare  the travel times




of chloride, yeast,  and temperature (Keys  and Brown,  1978).   The  chloride




concentration began  to increase at 0.8 pore volumes and  reached input con-




centration at 1.2 pore volumes.   The yeast began to increase  at 0.95 pore




volumes and reached  input concentration at 1.25 pore  volumes.   Temperature




began to rise at 0.7 pore volumes  and  reached input temperature at  3.25 pore




volumes.  The heat traveled faster than the other  tracers as  far  as initial




detection is concerned, but the center of mass  of  the thermal pulse arrived




later than the chloride or yeast.  This illustrates the  point that  changes




in water temperature are  accompanied by changes in density and viscosity of




the water.  This, in turn, alters  the  velocity  and direction  of flow of the




water.  For example, injected ground water with a  temperature of  40°C will
                                    62

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travel more than twice as fast in the same aquifer under  the  same  hydraulic




gradient as will water at 5°C.  Because  the warm water  has  a  slightly  lower




density than cold water, buoyant forces  give rise to  flow which  "floats"  on




top of the cold water.  In order to minimize problems of  temperature-induced




convection, small temperature differences with  very accurate  temperature




measurements should be used  if hot or cold water is the introduced tracer.




     Temperature was used as a tracer for small-scale field tests, using




shallow drive-point wells two feet apart in an  alluvial aquifer.   The




transit time of the peak temperature was about  107 minutes, while  the




resistivity data indicate a  travel time  of about 120  minutes (see  Figure




4.1).  The injected water had a  temperature of  38°C,  while  the ground-water




temperature was 20°C.  The peak  temperature obtained  in the observation well




was 27°C.




     In these  tests,  temperature served  as an  indicator of  breakthrough of




the chemical tracers,  aiding in  the  timing of  sampling.  It was also useful




as a simple, inexpensive tracer  for  determining the  correct placement of




sampling wells.




     The use of cold  water as  an injected tracer was  attempted by Simpson




(personal  communication, 1984).   Icicles of water  containing I131 were




deposited  In a borehole  penetrating  an alluvial aquifer.  No temperature  or




radiation  change was  detected  at sampling points,  while breakthrough did




occur  when the liquid tracer was used.   The  higher density of the cooler




tracer is  believed  to have  caused the tracer  to sink and miss the sampling




points.




     Another application of  water-temperature tracing  is the detection of




river  recharge in an  aquifer.   Most  rivers have large water  temperature
                                     63

-------


G
£-
LLi
oe
3

tr
Ul
CL
s
Ul




27.0

26.0
25.0

24.O
23.0
oo Ct
£c,.\J
21.0
i i I i i i 1 i l i l 1 l 1 1 1 — 1 I I I

A 	 A Well 1 f"
o 	 o Well 2 7
x 	 x Well 3 r
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.-
Initial temperature fi
of injected fluid = 47.l°C /
/
fj, Tc=r%rf-
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4-A
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       a
       v
       h
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Ul
a
200

 175

 I5O

 125

 100

 75

 50

 25

  :
                                      /
                                  i  . t  i i	i  i i  i i  i .1
                10  20  30 40  50 60  70 80  90 100 110 I2O 130 140 150
                      TIME  AFTER INJECTION  (minutes)
Figure 4.1.  Results of a field test in which hot water was  injected
into a well in a shallow aquifer of coarse alluvium.  The  sampling
wells were perforated metal pipes driven two feet from the injection
well and arranged in a semicircle in the downstream direction.  Only
Well #1 intercepted the injected water, thus establishing  the local
direction of ground-water flow.  Resistivity of the aquifer  was mea-
sured between the injection well and the sampling wells by passing a
small electrical current under a 6v potential from the injection well
to the various sampling wells.  The lowering of resistivity  caused by
the hot water verifies the flow direction which was determined by
measuring water temperatures.  Because the resistivity of  the entire
volume of the aquifer between the wells is measured,  the initial drop
in resistivity does not signal the arrival of the hot water  in Well
#1; it simply indicates that the hot water was started on  its way
towards Well #1.
                              -

-------
fluctuations in response to seasonal effects.   If  the river  is  recharging




an aquifer, the seasonal fluctuations  can be  detected in  the ground  water




adjacent to the river (Rorabaugh,  1956).




     • Field Methods




     One of the attractive aspects of  the use of  temperature as a tracer is




the relatively simple and inexpensive  equipment required.   Temperature is




usually measured by means of  a  temperature  probe,  which utilizes a ther-




mistor.  The instrument measures  resistance,  which is converted to tempera-




ture electronically or manually by a  calibration  curve.  The probes  are




available with meters or with digital  readouts.  Recording devices can be




attached, and logs may be in  analog or digital form.




     Any of the tracer test configurations  (Figure 3.3) could theoretically




be used.  The tests performed by  Keys  and Brown (1978)  were natural gradient




tests  with pressure injection.  The  authors also used  a natural gradient




test.  A short-term test using  natural gradients  has  not  been used success-




fully  for a travel distance greater than 46 meters.  Plumes of warm water a




number of miles long have been  documented  at many places where there has




been a constant feed of warm  water into an aquifer over periods of many




years.



     The logging method requires  movement  of the  probe  up and down in the




borehole.  An alternative  is  to leave the  probe at a constant depth, which




yields an  average  travel  velocity for a small  interval  of the aquifer above




and below  the sampling  point.




     • Detection and Analysis




     The lack of  laboratory  analyses and the easy means of  obtaining  direct




measurements  in the  field are advantages of using a thermal tracer.   Temper-




ature  can  be  detected  in  sealed pipes, while chemical,  bacterial, and





                                     65

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particulate tracers are generally sampled and  identified after entering  a




borehole from a screened segment.  This makes  multi-level  sampling  for non-




thermal tracers more difficult, and a vertical distribution  of tracers is




seldom obtained.




     Temperature measurements can be quite  sensitive  using modern equipment.




Keys and Brown (1978) used a probe with an  accuracy,  repeatability,  and  sen-




sitivity of approximately 0.02°C.  With very expensive  temperature  detection




equipment, this performance can probably be improved  by an order of  magni-




tude.




     • Additional Information




     The velocity measurements obtained from temperature  tests are  generally




not equal to water velocity, as discussed previously.  A  conservative  tracer




such as chloride could be used to determine the  temperature  lag  for  site-




specific tests.  Temperature is currently most useful in  obtaining  relative




velocities of various zones within an aquifer.




     The expenses involved in this type of  test  are minimal  in comparison to




other tracer tests.  A relatively inexpensive  probe and a  recording device




(if desired) are the only capital expenses. Labor  is minimized  due  to the




lack of laboratory analyses.




     Environmental effects should not be a  problem  in this type  of  test  pro-




vided high quality water is used for injection.   For  more  information on




temperature as a ground-water tracer, see Stallman  (1963), Sorey (1971), and




Combarnous and Bories (1975).






                              Solid Particles






     Solid material in suspension can be a  useful tracer  in areas  where




water flows in large conduits, such as  some basalt,  limestone, or  dolomite





                                     66

-------
aquifers.  Aley (1976) reported that geese, bales of hay, and wheat  chaff




have been used in Missouri in karst regions.   In the past decade,  small




particulate tracers such as bacteria have been used successfully  in  porous




media*




     This section of the manual will briefly  describe  the following  particu-




late tracers:  paper and simple floats,  signal-emitting  floats, yeast, bac-




teria, viruses, and spores.







Paper and Simple Floats




     Some examples of  these tracers are  small bits  of  paper (as punched  out




from computer cards, for example), or  multicolored  polypropylene  floats.




Due to the large size  of these  tracers,  they  are useful  only when flow is




through  large passages.  The particles must be of  such a size and density  as




to pass  through shallow  sections  of flow without  settling out.  Because




these particulates generally float on  the surface,  they  travel faster than




the water's mean velocity.  These tracers are most  useful for approximating




the flow velocity and  establishing the flow path.




     Dunn (1963) described  the  use of  polypropylene floats  of approximately




3/32-inch diameter and one-inch length.




      • Field Methods




     This type of test requires very  little equipment.  The tracer is intro-




duced in a sinkhole or other  convenient  locations  and is recovered by siev-




ing water as  it emerges  from  springs  or  karst openings.




      • Detection




      The particulates  are  counted manually.




      • Additional Information




      This method  is very inexpensive.   Environmental effects are minimal.







                                    67

-------
Signal-Emitting Floats




     A novel tracer is a small delayed time bomb which floats through a cave




system.  When the bomb explodes, the location of the explosion is determined




by seismic methods at the surface (Arandjelovic, 1969 and 1977).  W.A.




Schnitzer (1972) described karst tracing experiments in which blasting takes




place in dolines.  Sound impulses are detected by microphones in adjacent




springs.  The impulses can be recorded by oscillographs.  Another method of




tracing underground streams is described by Lange (1972).  The method utili-




lizes natural noise impulses generated by moving water.  The signal  is




detected on the surface by seismometers, then amplified and recorded on mag-




netic tape or on a chart recorder.  It combines an  acoustic tracking method




and a procedure used by seismologists to locate the foci of earthquakes.




Problems with this method include noise interference from wind,  traffic, and




surface streams.



     Because these methods are relatively expensive and have seldom  been




used, they will not be discussed in further detail.






Yeast




     The use of baker's yeast  (Saccharomyces cerevisiae) as a ground-water




tracer  in a sand and gravel aquifer has been reported  by Wood and Ehrlich




(1978).  Yeast  is a single-celled fungus which  is ovoid  in  shape.  The




diameter of a yeast cell is 2  to 3  ym, which closely approximates  the  size




of pathogenic bacterial cells.  This  tracer  is  probably most applicable  in




providing information  concerning the  potential  movement  of  bacteria.
                                     68

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     • Field Methods




     In Wood and Ehrlich's experiments,  tracer  tests  were  conducted  in  wells




1.50 m (5 feet) apart.  However,  the  tracer was  detected at  an  observation




well 7.6 m (25 feet) downgradient.  The  injection  concentration was  16  kg




(35 pounds) of baker's yeast  to 45  1  (12.8 gallons) of  water.




     Samples for yeast analysis can be collected in sterile  bottles  at  regu-




lar intervals and prepared for analysis  in the  field.




     • Detection/Sample Analysis




     The samples must first be filtered  through membrane filters.  The  fil-




ters are then placed on absorbent pads saturated with M-Green Yeast  and Mold




Broth and incubated at 30°C for 36  hours.  Colonies can then be counted




under low magnification.  This type of analysis is fairly  simple,  relatively




inexpensive, and requires little  specialized  equipment, other than a source




of heat for incubation.  A wide range of concentrations can be  analyzed




because the sample can be diluted if  the colonies  are too  numerous to count.




One advantage of yeast is negligible  background levels.




     • Additional Information




     Wood and Ehrlich (1976)  found  that  the  yeast  penetrated more  than 7




meters into a sand and gravel aquifer in less than 48 hours after  injection.




The relative mobilities of yeast  and  chloride were also compared in this




study.  Yeast cells are generally mechanically filtered as they pass through




the intergranular pore space. It appears that microbial cells  such as yeast




or bacteria become trapped at the soil-water  interface  (e.g., of an injec-




tion well), and  as the mat of cells increases,  it  becomes  a more effective




filter (Vecchioli et al.,  1972).   This causes the  breakthrough curve to




increase to an abrupt maximum and then decrease sharply as the mat of cells
                                     69

-------
builds up (Figure 4.2).  In Wood and  Ehrlich's  study,  the  yeast  arrived




faster than the conservative  ionic  tracers,  bromide  and iodide.




     In this case, the time lag in  the  peak  concentrations of  bromide and




iodide was due to their flow  occurring  simultaneously  in solution channels




and intergranular pores.  The yeast cells  are believed to  have traveled




through the solution openings.  The cells  were  probably filtered from sus-




pension, and did not flow through the intergranular  pores.   The  two  types of




flow would explain the abrupt peak  for  yeast and  gradual rise  and long tail




for bromide.




     The tracer is very inexpensive,  as is analysis.   The  lack of environ-




mental concerns related to this tracer  is  one of  its advantages.






Bacteria




     Bacteria are the most commonly used microbial tracers,  due  to their




ease of growth and simple detection.  Recently, Keswick et al. (1982)




reviewed case studies of bacteria used  as  tracers.   Some of  the  bacteria




which have been used successfully are Escherichia coliform (E. coli),




Streptococcus faecalis, Bacillus stearothermophilus, Serratia  marcescens,




and Seratia indica.  They range in  size  from one  to  ten microns  and  have




been used in a variety of applications.




     A fecal coliform, E. coli, has been used to  indicate  fecal  pollution at




pit latrines, septic fields,  and sewage  disposal  sites.  A "marker"  such as




antibiotic resistance or H S production is necessary to distinguish  the




tracer from background organisms.  Hagedorn  et  al. (1978)  and  Rahe et al.




(1978) used antibiotic-resistant strains of  E.  coli  and Streptococcus




faecalis to trace movement through  a  saturated  soil.   Bacteria movement
                                     70

-------
 24.0
                                                     0.30
                              •  Bromide
                              o  Yeast
            60    120    180   240   300   360
              TIME  AFTER  INJECTION  (min)
Figure 4.2.  Results of a two-well tracer test in  an alluvial
aquifer using bromide and yeast.  Although the bulk of the
yeast was  probably filtered out,  some particles moved through
the largest openings to produce an early breakthrough peak on
the graph.  This apparent anomaly where a nonconservative par-
ticulate tracer arrives ahead  of  the bulk of the conservative
tracer is  caused by the fact that the largest openings which
carry the  particles are also the  paths of highest  velocities.
(Graph is  redrawn from Wood and Ehrlich, 1978).
                           71

-------
through fractured bedrock was studied by Allen and Morrison  (1973).  Rippon




(1963) used a bacterial tracer for detecting water movement  in an  estuary,




and Wimpenny et al. (1972) used an antibiotic strain  of  Serratia marcescens




as a tracer in a polluted river.




     • Field Methods




     Most bacterial tracer tests reported  in the  literature  are two-well




natural gradient tests.  The tracer can be  injected by siphoning from  the




container, through Tygon tubing, to the desired depth.   Injection  under




pressure has been used.  The wells may be  relatively  far apart, as Sinton




(1980) reported recovery at a distance of  920 meters.




     The samples can be obtained by bailer  or hand pump.  Most workers place




the samples on ice and transport them  to  the laboratory.  Samples  should




then be stored at 4°C or otherwise refrigerated until analyzed.




     • Detection




     As mentioned previously, some type of  "marker" (such as antibiotic




resistance) is necessary to distinguish tracer bacteria  from background




bacteria that are almost always present.




     The average time for lab analysis is  one to  two  days.  Cells  are  recov-




ered from the water sample by membrane filtration, and the bacteria are  then




diluted by serial dilution, if necessary.   The filters are incubated on




plates of agar.  A normal temperature  is  37°C, and the time  required ranges




from 24 to 48 hours.  Colonies are counted under  low  magnification.




     Methods for growing inoculum  (bacteria) for  use  as  a tracer  are




described in Ormerod (1964), Rahe et al.  (1978),  and  Sinton (1980).




     • Additional Information




     In choosing a bacterial tracer, a reasonable survival rate, with no




reproduction, is desired.  Some bacteria  are capable  of  growth in  aquifers,





                                     72

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yielding erroneous tracer results-  Another  factor  causing  ambiguous  results




is the fact that bacteria, like yeast cells, are  large enough  to  be filtered




by some soils.  Also, they may adsorb to a variety  of surfaces.   However,  in




field tests, bacterial tracers show faster transit  times  than  dyes  (Pyle,




1981; Rahe, 1978).  Figure 4.3 illustrates relative  travel  times.




     The tracer itself is relatively inexpensive, but may be difficult  to




obtain.  The most obvious remedy  is to  culture  the  bacteria personally.




Analysis requires a laboratory, incubator, and  microscope.  Cost  (if  samples




are sent to a commercial laboratory) is comparable  to a chemical  analysis.




     The greatest health concern  in using  these tracers is  that  the bacteria




must be nonpathogenic to man.  Even E.  coli  has strains which  can be  patho-




genic.  Davis et al. (1970) reported that  Serratia  marcescens  may be  patho-




genic.




     Another concern is related to the  injection of antibiotic-resistant




strains.  The antibiotic resistance can be transferred  to potential human




pathogens.  This can be avoided by using bacteria which cannot transfer  this




genetic information.  As is true  with most other  injected tracers,  permis-




sion to use bacterial tracers should be obtained  from  the proper  federal,




state, and local health authorities.




     For more information concerning bacterial  tracers, see Schaub  (1977),




Vecchioli (1972), Ormerod (1964), and Romero (1970).






Viruses




     Animal, plant, and bacterial viruses  have  been recently used as  ground-




water tracers.  Viruses are generally much smaller  than bacteria, ranging




from 0.2 to 1.0 microns (see Table 4.1).   In general, human enteric viruses




cannot be used, due to disease potential.  Certain  vaccine  strains, such as
                                     73

-------
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I
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0.
c
3
6.0

5.0

o 4.0
O
~
O

•P
(O


3.0


£ 2.0
—
O
O
ui



1.0

f\
ro
1 I I I
A
• i
X *
* \
/r^ \
/ ' V K
• / ; \iv
• x ^^
1 ' X^**«^^_ -
" 1 ' S^c
1 '
1 i
/ x X 	 X Rhodamine
/ I WT
i'

i i i i

X
_l
100 o»
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z
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60 O
1-
£
40
UJ
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0
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n cc
0 IO 2O 30 40 50
               TIME  (hours)
Figure 4.3.   A comparison of travel time in
a two—well tracer test using rhodamine WT dye
and E. coli.  The E.  coli, which is a particu-
late tracer, arrived  slight ahead of the dye,
probably for reasons  explained in connection
with Figure 4.2.   (Figure redrawn from Pyle and
Thorpe, 1981).
                 74

-------
                                      TABLE 4.1

                           Comparison of Microbial Tracers

Tracer
Bacteria
Spores

Size
(um)
1-10
25-33
Time
Required for
Assay (days)
1-2
1/2
Essential
Equipment
Required
incubatora
microscope
   Yeast

   Viruses:
      Animal (enteric)
      Bacterial
  2-3
0.2-0.8
0.2-1.0
                                                  1-2
 3-5
1/2-1
                   plankton nets

                   incubatora
incubator
tissue culture
laboratory

incubator3
a Many may be assayed at room temperature.
                                         75

-------
a type of polio virus, have been used  but  are  considered  risky.   Most  animal




enteric viruses are considered  safer,  as  they  are  not known  to  infect  nan




(Keswick et al., 1982).  However, both human and animal viruses  are  gener-




ally not considered to be suitable  tracers for field work.   Bacterial




viruses (bacteriophage) were first  used by Wimpenny et al. (1972).   Their




properties are similar to those of  animal  viruses, but the health risk is




lower.  Virus tracers have several  advantageous properties.   The injection




culture is easily grown in the  laboratory.  The viruses are  specific to the




host bacteria so that they may  be mixed,  injected, and then  distinguished on




different host bacteria.  Also, viruses have  shown good survival in ground-




water studies.




     The most useful application of virus  tracers  is  in modeling the move-




ment of microbial pathogens (such as hepatitis) in ground water.  The  move-




ment of viruses from septic tank drainfields was traced with the use of a




bovine enterovirus by Scandura  and  Sobsey  (1981).  In karst  terrain in




Missouri, Fletcher and Meyers (1974) used  a bacteriophage which  traveled a




distance of 1600 meters.  In granular  media,  the aquifer  must be very  perme-




able to observe long travel distances. Martin and Thomas (1974) used  a bac-




teriophage In sandstone strata  in South Wales, with a  travel distance  of 680




meters.




     A possible use of virus tracers is in evaluating  the suitability  of




potential land treatment sites  (Keswick et al., 1982).  A "standard" virus




with well-defined properties could  be  used.




     • Field Methods




     An advantage of bacterial  or virus tracers is the small injection




volume needed to label large water  volumes.  A typical concentration of
                                    76

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injected tracer might be 5 x 1010 phage  per  ml.   In  determining  the  injec-




tion quantity, Aley and Fletcher (1976)  suggested that  97%  of  the  tracer may




be lost and noted that the minimum  detection is  10 plaque-forming  units per




ml of water.  The methods to prepare  the tracer  are  described  by Schaub et




al. (1975) and Sargeant (1969).  The  stock to be injected can  be grown rela-




tively easily in a well-equipped microbiology laboratory in 10 to  24 hours.




     The method used  to assay  viruses is described by Schaub and Sorber




(1977), Schaub et al. (1975),  and Aley and Fletcher  (1976). In general, a




portion of a sample is put on  a plate of jelly-like  bacteria.   The plate is




incubated for various lengths  of  time, depending on  the bacteria and virus.




The virus feeds off of the bacteria and leaves a clean area (plaque) of dead




bacteria on the milky surface  of  the plate.   The clear patches on the plate




are counted manually, assuming that one phage is associated with one plaque.




It is best to have 30-300 plaques per plate.  The sample can be serially




diluted to obtain this concentration.




     The procedure is fairly  complex and time consuming, and it may be  diff-




icult for hydrologists who  generally lack knowledge  of microbiological




techniques.




     An immunochemical  type  of virus assay  (analysis) has  the potential to




reduce virus  detection  time  to one  to three hours (Keswick et al.,  1982).




However,  this method  is  not  yet available for water tracers.




      • Additional  Information




      Some  considerations  in planning and  interpreting virus tracer  tests  are




die-off rates,  background levels,  and adsorption.  The  die-off  rate should




be investigated before  choosing the  tracer.  Martin and  Thomas  (1974)  found




that  the  bacteriophage  population which they used was reduced to  10%  of the




original  value  in about 28 days.   The die-off rate  is  increased by  higher






                                      77

-------
temperature and exposure  to ultraviolet  light.   Background  levels of viruses




in ground water might cause tracer  test  results to  be  incorrect  and should




be determined before the  test.  Aley  and Fletcher  (1976)  described a method




to determine if interfering bacteriophage are  present  in  the  water, which




would infect the tracer phage's host  bacteria.




     Neglecting the time  factor,  the  cost of using  virus  tracers is rela-




tively small if access to a microbiology laboratory is available.  The pri-




mary cost would be related directly to wages of laboratory  personnel.






Spores




     Lycopodium spores have been  used as a water tracer since the early




1950's, and the techniques are well developed.   Spore  tracing was initiated




by Mayr (1953) and Maurin and Zotl  (1959).  Their methods were modified by




Drew (1968a).  As is true with all  larger particulate  tracers, spores can be




used only where significant interconnected large pores exist.  Almost all




applications of spore tracers have been  in karst regions  characterized by




large solution openings in the aquifers.




     Lycopodium is a clubmoss which has  spores  that are nearly spherical in




shape, with a mean diameter of 33 microns.  It  is composed  of cellulose and




is slightly denser than water, requiring some  turbulence  to keep the mate-




rial in suspension.  Some advantages  of  lycopodium  use are:   (1) the spores




are relatively small; (2) they are not affected by  water  chemistry or




adsorbed by clay or silt; (3) they travel at approximately  the velocity of




the surrounding water; (4) the injection concentration can  be very high




(e.g., 8 x 10 6 spores per cubic centimeter); (5) no health  threat is posed;




(6) the spores are easily detectable  under the  microscope;  and (7) at least




five dye colors may be used, allowing five  tracings to be conducted






                                    78

-------
simultaneously in a karst system.   Some  disadvantages  associated  with its




use include the large amount of  time  required  for  preparation and analysis




of the spores, and the problem of  filtering  of spores  by  sand or  gravel if




flow is not sufficiently turbulent.




     The basic procedure involves  the addition of  a few kilograms of dyed




spores to a cave or sinking  stream.  The  movement of the tracer is monitored




by sampling downstream in the cave or at a spring, with plankton nets




installed in  the stream bed.  The  sediment caught in the  net is concen-




trated, and treated to remove organic matter.   The spores are then examined




under  the microscope.




     Tracing  by  lycopodium  spores  is most useful in open joints or solution




channels  (karst  terrain).   It  is not useful in wells or boreholes unless  the




water  is  pumped  continuously to  the surface and filtered.  A velocity  of  a




few miles per hour  has been found  sufficient to keep the spores in suspen-




sion.  According to Smart  and  Smith (1976), lycopodium is preferable  to dyes




for use  in  large-scale water resource reconnaissance studies  in karst  areas.




This  holds  if skilled personnel are available to  sample and analyze  the




spores and  a  relatively  small number of sampling  sites are used.




      The  spores  survive  well in polluted water, but do not perform well in




slow  flow or  in  water with a high sediment  concentration.  Lycopodium spores




have  been used extensively in the United  States,  Great Britain,  and  other




countries to  determine flow paths and to  estimate time of travel  in  karst




systems.




      • Field Methods




      Various  pieces of equipment  are required for spore  preparation, sam-




 pling, and analysis.  Tracer preparation  is described in detail  in  Drew and
                                      79

-------
Smith (1969), Gardner and Gray (1976), and Aley and Fletcher  (1976).   A. res-




pirator should be worn during the process, and extreme care must  be used to




avoid powder explosions when working with the dry  spores.  The  spores  and




dyes can be obtained from a biological supply house (see Appendix D).   The




preparation involves heating the wetted  spores, adding the dye  and boiling




for about an hour, and finally adding chemicals to fix the color  in the




spores.  Next, the dyed spores are dried in  an oven and refrigerated until




used.  The dyes found to be most easily  distinguished with a  regular micro-




scope by Gardner and Gray (1976) were safranine orange, crystal violet, mal-




achite green, sudan black, and crystal blue.



     The equipment needed for sampling includes a  conical plankton net and a




trap (wood or metal frame) to hold the net-   Nylon or silk nets are avail-




able from biological supply houses.  Nylon  is more expensive,  but more tear-




resistant than silk.  A 25-micron mesh is generally used.  One rule of thumb




in determining the net opening diameter  to  be used is that the net opening




should be no less than 10% of the cross-sectional  area of flow at the  loca-




tion of the trap (Gardner and Gray,  1976).   The nets are  tapered at one end




and fitted with a rubber tube and clip to allow emptying  into a bottle




during sampling.




     Various suggestions have been made  concerning injection  quantity.  A




large quantity of spores is necessary because probably 99% of the injected




spores are  lost in transit, and  only a few  of those which are transported to




the sampling site are caught  in  the  nets.   Drew and Smith (1969) and




Atkinson  (1968) recommended using 600 grams (dry  weight)  of  spores (per 0.3




m3/sec discharge) for every estimated kilometer of straight-line travel.




This recommendation  is based  on  the  discharge of  the  largest  spring and
                                     80

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assumes that approximately 10%  of  the  flow  passes  through the  nets  at the




spring.  A high silt content reduces the  number  of  spores arriving  at the




sampling points.  Maurin and Zotl  (1959)  used  2  to  3  kilograms  for  a dis-




charge of 500-2,000 cubic meters per hour.   Using  silk nets, Atkinson,  Drew,




and High used one kilogram of spores per  10,000  gallons per minute  dis-




charge, per mile of travel.  With  nylon nets,  they  successfully used 0.75




kilograms per 50,000 gallons per hour  discharge, per  mile of travel.




Approximately 8-10% of the outflow was netted  in this study.




     The sampling nets must be  installed  before  injection.  The traps are




placed securely (see Figure 4.4) in the portion  of  the stream  or spring with




the highest discharge.  Extra traps should  be  available in case one is




broken or lost.




     Sampling consists of emptying the sediment  trapped in the net  into a




bottle.  The nets are washed in the stream  and reused.  The frequency of




sampling will depend partly on  the amount of sediment in the water, with a




higher sediment load requiring  more frequent sampling.  If the purpose of




the test is to determine where  a sink  resurges,  sampling once  every two days




may be sufficient.  If time of  travel  is  desired,  the interval should be no




less than one-fifth of the estimated travel time (Gardner and  Gray, 1976).




     • Detection and Analysis




     Laboratory analysis is fairly time consuming  for this type of  tracer




experiment.  The basic equipment includes a good quality microscope and a




centrifuge.  The analysis is described in detail in Aley and Fletcher




(1976).  Samples are filtered to separate the  spores  from larger solids,




then concentrated with a centrifuge and analyzed under the microscope.
                                     81

-------
STAKES --^
DRIVEN INTO
STREAM BED
                          ^PLANKTON
                                 NET
                                 -•-SAMPLE
                                      BOTTLE
                                  ROCKS  TO PREVENT
                                  FRAME  FROM MOVING
Figure 4.4.  Tracing with spores  is most commonly done
in karst  systems where cave streams or streams fed by
large springs are available for sampling.  Spores can
be collected from the streams by  anchoring a plankton
net in the  stream as shown in this sketch (adapted from
Gardner and Gray, 1976).
                    82

-------
Prevention of contamination is of utmost  importance  in  the  analysis  lab.




Analysis should not be performed in  the same room  in which  spores were  dyed.




     • Additional Information




     As mentioned above, contamination  is the  major  concern in  lycopodium




tracing.  Natural systems may have a background  level,  which should  be




tested for.  Also, injected spores have been found in  streams long after




injection.  If the time vs. concentration curve  doesn't look reasonable,




contamination is very  likely.  Gardner  and Gray  (1976)  discussed precautions




which should be taken  to prevent contamination in  all  stages of spore prepa-




ration, injection, sampling, and analysis.




     The performance of lycopodium in comparison to other tracers demon-




strates its conservative nature.  Buchtela et  al.  (1968) compared spores,




uranine (a fluorescent dye) and  sodium chloride, and found that lycopodium




traveled most rapidly.  This may be  attributed to  the  fact that lycopodium




stays in suspension only in fast, turbulent flow,  so it probably travels




faster than the average water velocity.   Atkinson et al. (1973) compared




lycopodium with pyranine, another fluorescent  dye, and found similar peak




arrival times (see Figure 4.5).  However, the  first arrival of lycopodium




was much earlier  than  that of pyranine.




     The cost of  using lycopodium is generally considered greater than that




of using dyes.  Smart  and Smith  (1976)  noted that  capital costs are  similar,




but labor is higher for spore use.   See Table  4.2  for  a comparison of lyco-




podium and dye tracer  properties.




     Lycopodium is not associated with any known health effects, and it  is




considered one of  the  most harmless  tracers.
                                     83

-------
O.O7
^ O.06
Q_
z O.05
d °-04
O O.03
O
UJ 0.02
Q 0.01
o
	 1 	 1 	 r~
-

LYCOPODIUM
-
-

_
i i r~^
•m*
—



f
1

K
/DY
1 '
-

-
\
\

•^
'E
,—.

,
\
-
-

^.
^A \ *«tj— >
               468
              TIME (hours)
                                           140 uj

                                           I2O ^

                                           IOO S$

                                            8O
                                                UJ
                                            60  ^ x
                                                
-------
                                  TABLE 4.2

           Comparison of Lycopodium and Fluorescent Dye Properties
     Lycopodium spores
         Fluorescent dyes
Require only periodic sampling

Sampling requires the use of
   special plankton nets
Cost of capital equipment
   (microscope, centrifuge)
   moderate

Cost of non-capital equipment
   (nets, glassware, etc.) high

Pre-treatment to color spores
   time consuming and moder-
   ately expensive

Post-collection treatment
   time consuming

Analysis time consuming and
   requires skilled personnel

Immediate field analysis not
   possible

Cost of tracers moderate

Unaffected by water chemistry
   and pollutants

Affected by high sediment
   concentrat ions
Require frequent sampling

Sampling requires no special equip-
   ment and is possible using an
   automatic water sampler

Cost of capital equipment (fluorom-
   eter) high
Cost of non-capital equipment
   (glassware) low

No pre-treatment required
No post-collection treatment
Analysis straightforward and fast,
   requires no skilled personnel

Immediate field analysis possible
Cost of tracers moderate

May be detrimentally affected by
   water chemistry and pollutants

Affected only at extremely high
   sediment concentrations
                                       85

-------
                                     Ions




   Ionic compounds such as common  salts have  been  used  extensively  as


ground-water tracers.  This category of tracers  includes  those  compounds


which undergo ionization in water, resulting  in  separation  into charged


elements possessing a positive  charge  (cations)  or a  negative  charge


(anions).  The charge on an ion affects its movement  through  aquifers  by


numerous mechanisms, which will be discussed  for each specific  tracer.   The


ionic tracers which will be mentioned  include chloride  (Cl~),  bromide  (Br ),

           _.!_                _L-                 i i               _L-
lithium  (Li), ammonium (NH  ), magnesium  (Mg  ),  potassium (K ),  iodide


(I~), sulfate (SO =), organic  anions  (such as benzoate),  and  fluorinated


organic  anions (such as M-TFMBA).  Ions listed are those  which have been


found to be successful as  tracers  under various  field and laboratory



conditions.


     Ionic tracers have been employed  as  tools for a  wide range of  hydro-


logic problems dealing with the determination of flow paths and residence


time and the measurement of aquifer  properties.  Selection of  the  approp-


riate ionic tracer should  be based on  the  purpose  of  the  study; the type of


aquifer  system,  such as karst,  granular media, and fractured  rock;  the site


specific aquifer characteristics,  including  the  degree  of heterogeneity  and


extent of clay lenses; the natural background concentration of specific  ions


in the ground water; and the analytical techniques available.   The  general


characteristics  of an ideal tracer have been outlined previously in the


introduction.  Specific characteristics of individual ions or ionic groups


may  approach those of an ideal tracer,  particularly in the case of  dilute


concentrations of certain  anions.

-------
     In most situations, anions  (negatively-charged  ions) are not affected




by the aquifer medium.  Mattson  (1928),  however, has  shown  that  the  capacity




of clay minerals for holding anions  increases with decreasing pH.  Under




such conditions of low  pH,  anions  in the presence of  clay,  other minerals,




or organic detrites may undergo  anion exchange.  Other  effects which may




occur include anion exclusion  and  precipitation/dissolution reactions.




Cations (positively-charged ions),  however,  will react  much more frequently




with clay minerals through  the process of cation exchange  which  in  turn dis-




places other cations  such as  sodium and calcium into solution.   For  this




reason, little work has been  done  with cations  due  to the  interaction with




the aquifer media.  Versene (a tetra-sodium salt)  has been used  in  the labo-




ratory to prevent  ion exchange (Haas, 1959).  Kaufman (1956) has shown that,




when permeabilities and flow  rates are low, often indicative of  a large clay




fraction, the  solid phase may  have a considerable  capacity for  adsorption of




an  ionic  component.   This  is  significant for cationic tracers and may have




some  significance  for certain anionic tracers.




     One  advantage of the  simple ionic  tracers  is that they do  not  decompose




and thus  are  not  lost from  the system.  One consideration  in the application




of  specific ions  is  the background  concentration of  the tracer  in the natu-




ral ground  water  or  receiving waters.   A large  number of ions (including Cl




and NO ~) have high natural background  concentrations.  Use of  these ions




 under  such  situations would require  the injection of a tracer of high  con-




 centration which may  result in  density  separation and  gravity segregation




 during the  tracer test (Grisak, 1979).  Density differences will alter flow




 patterns, the degree  of ion exchange,  and  secondary  chemical precipitation,




 which may change the aquifer  permeability.
                                      87

-------
     Various applications of ionic tracers have been described  in  the  liter-




ature.  Common salt was used by Adolph Thiem and other German hydrologists




as early as 1889 to determine the flow rate of ground water  in  sandstone  and




other media.  Similar methods used for Cl~ were also postulated for  ions




such as nitrate (NO ~), dichromate (Cr20?), and ammonium  (NH4+) (Haas,




1959).  Murray (1981) used lithium bromide (LiBr)  in carbonate  terrain to




establish hydraulic connection between a  landfill  and a fresh-water  spring




where use of rhodamine WT dye tracer proved inappropriate.   Sodium chloride




(NaCl) was used by Mather (1969) to investigate the influence of mining sub-




sidence on the pattern of ground-water flow.  Tennyson  (1980) used bromide




(Br~) to evaluate pathways and transit time of recharge through soil at a




proposed sewage effluent  irrigation site.  Chloride (Cl~)  and calcium (Ca+)




were used by Grisak (1979) to study solute transport mechanisms in frac-




tures.  Potassium (K*~) was used to determine  leachate migration and  extent




of dilution by receiving  waters located by a waste disposal  site (Ellis,




1979).




     • Field Methods




     The field techniques and required equipment  for use  of  ion tracers are




fairly simple and standard for all of  the ionic elements  in  this group.  It




is primarily in the detection and analysis phases  of a  field study that




techniques and required analytical equipment  vary  substantially.  The basic




equipment necessary to conduct a multiple-well  fluid tracer  test would




include an injection well, observation wells  or piezometric  nest,  auger




(manual or power), well-casing driver  (manual  or  power),  steel  measuring




tape, tracer mixing and injection container,  hand  pump  or automatic  sampler,




sample bottles, and break-through detection equipment  (i.e., electrical

-------
conductivity/resistivity meter).  Tests may be run utilizing a single bore-




hole for injection and observation (Saleem, 1971) as discussed below, or by




utilizing only one observation well given  that the flow direction  is estab-




lished.  Variations from the standard multiple-well  test require modifica-




tions in equipment and techniques-  The monitoring network  (well configura-




tion), sampling instrumentation,  sampling  frequency, and detection methods




are dependent on the flow velocity and  direction  of  the measured system.




This information can be obtained  using  a conservative  ionic tracer with a




multi-observation well configuration.   Knowledge  of  the ground-water direc-




tion and flow velocity is critical when conducting a single-well or  two-well




tracer study.




     Several types of tracer tests have been  performed successfully  with




ionic tracers, including two-well recirculating  tests; radial  flow tests;




convergent flow slug tests; point dilution tests; and  packer tests.




     The concentration of ion  to  be  injected  should  be such that  it  can be




detected well above the natural background concentration  level that  exists




in  the receiving water.  Density  effects  should  be  considered  when determin-




ing injection concentration.   One method  to offset  density  effects is  to




raise the temperature of the injection  mixture  above that  of the  receiving




ground water.  Tracer dilutions of  as much as six or seven  orders  of magni-




tude  or  greater may be unavoidable  in field tracer  tests  (Thompson,  1980).




The ion  injection  concentration should  thus be  high  enough  to ensure detect-




able  levels  (based on analytical  techniques)  in the  observation well(s).




      The ion tracer may  be  introduced  as  a powdered salt  and allowed to dis-




solve  in solution  in  the  injection  borehole.   This  passive  injection tech-




nique  results  in  negligible disturbance of the  normal  ground-water flow
                                     89

-------
velocity and direction.  This would be employed when  the  flow  velocity  is




large or the distance between the injection well  and  the  observation well  is




short.  The ion tracer may also be introduced  at  a known  flow  rate  and  con-




stant concentration.  This technique would be  a forced  injection  with a con-




stant injection flow rate.  This is useful in  situations  where the  ground-




water flow velocity (average pore velocity) is small  and/or  the distance




between the injection and observation wells is large.   The  tracer may either




be injected as a slug or as a continuous  source input.




     The simplest ion tracer tests do not require the collection  of samples




from the observation well.  The technique developed by  Slichter (1902)  mea-




sures tracer recovery by changes in electrical conductivity  of the  ground




water, and thus does not require further  laboratory analysis.   Sampling is




required for other detection techniques  (outlined in  the  following  section),




which are employed when density effects  are significant and  the injected ion




concentrations are very low.  There are  two types of  sampling: constant




depth sampling and multi-level sampling.  Sampling may  be conducted manually




using a hand pump or automatically using  an electric  or battery-operated




sampler.




     Lee (1980) employed a multi-level sampler to obtain  pore  water from




various depths in a flow field.  The sampler  is a vertical  bundle of  poly-




propylene tubes which terminate in a small patch  of nylon screen  and are set




at selected depths-  The multi-level sampler  is described as an effective




and relatively inexpensive means of defining  the  spatial  distribution  and




temporal variations of the tracer zone.




     The number of samples kept for laboratory analysis can be minimized by




making field measurements of electrical  conductance within,  ahead of,  and
                                     90

-------
behind the tracer slug (Lee, 1980).  This field measurement provides an idea




of relative breakthrough, and thus indicates when sampling frequency should




be increased or decreased.  When using samplers, each tube should be flushed




before taking a sample by withdrawing and discarding one pump and tube




volume.




     • Detection and Analysis




     As mentioned previously, the  simplest  and most  inexpensive  detection




and analysis technique for  ionic tracers  is the measurement of electrical




conductance as described by Slichter  (1902).  Electrical conductance can be




used (as a break-through indicator)  in  two-well or multi-well tracer tests.




The movement of an  ionic tracer  from  the  injection well towards  the  obser-




vation well is observed by  means of  an  electric circuit that utilizes  the




conductivity of the ground  water.  As the  tracer  moves  towards  the  observa-




tion well, the conductivity increases.  An  electric  circuit within  each




observation well is used for detecting  the  time of  arrival  (break-through




time) of the tracer (Haas,  1959).




     Additional detection and analysis  techniques are  used  if  ionic tracers




are injected at low concentrations,  when  greater  accuracy  is  required, or  in




aquifer  systems where  electrical conductance is  difficult  to  measure.   The




numerous detection  and analytical  techniques require that  samples be col-




lected  in  the  field and  that  analyses be  performed in the  laboratory.   The




techniques applicable  to  specific  ions  are presented in Table  4.3.   Several




common  techniques  include  specific ion electrodes,  "Hach kit"  analysis,




liquid  chromatography, gas  chromatography,  and mass spectrometry.  Appendix




E provides a  further  discussion of analytical methods for  detection of




tracers.
                                     91

-------
                                  TABLE 4.3

                     Analytical Methods for Ionic Tracers
   Ion

Li+  K+
i-l J. y IX

Mn^"1", Mg^,

K1", Na+


Cl~



S0,=
NH ,-N
  1+
Br'
      Method

Atomic absorption

Spectrophotome try

Flame emission
Spectrophotome try

Coulometric filtration
Mercuric thiosulfate method

Turbidimetric

U.V.-Visible  spectrophotometry
coupled with  chemical  procedures
Brucine-sulfanilic  acid
Sulfanilamide-napthylenediamine
Phenolhypochlorite-nitroprusside

Specific ion  electrode
Spectrophotometry
Neutron activation
                                                             Reference
                                                         Brown et al. (1970)
                                                         Pickett (1969)
                                                         Cotlove (1964)
                                                         Lee (1980)

                                                         Hach (1969)
                                                         USDI  (1969a)
                                                          Tennyson (1980)
                                       92

-------
     The overall costs of ionic tracer  tests include both the cost  of  the




injected ion (salt) and the costs of analysis.  Common  salts such as NaCl  are




relatively inexpensive, but some of  the organic anions  and  fluorinated




organic anions are expensive.  With  the exception  of the electrical conduc-




tance, specific ion electrode, and Hach methods of analysis, the  detection




and analysis costs are significantly greater  than  the  cost  of  the  ionic com-




pound.  Cost is a limiting  factor  in the use  of  several detection methods.




For example, Schmotzer et al.  (1973) applied  post-sampling  neutron  activation




in a Br~ tracer test  and pointed out that a major  disadvantage  with this




technique  is the significant  cost  of analysis.   Each sample requires irradia-




tion and generally chemical separation, counting,  and  quantitative  analysis-




     The concentrations of  ionic  solutions typically used  in field  tracer




tests  generally pose  no measurable  environmental  or health effects.  Water




containing such concentrations of  ions is much less palatable,  but  in most




cases  is potable.  Schmotzer  et  al.  (1973) reported that the only  toxicity




data  on bromide  (Br~) was  a result  of  medical research by  Dreisback (1955)




and Von Oettingon  (1958).   The report   concluded that 50-100 mg of  Br"/100 ml




of blood  is  the  lower toxic limit  for   humans.  For an adult, this  limit is




2.4  grams  of  Br~  in  the  blood.  A person drinking water with a bromide  con-




centration of  200  ppm would have to drink 12 liters in order to ingest  2.4




grams  of  bromide.   Natural background  levels of bromide in ground  water are




usually  low,  and  therefore low concentrations are  typically employed  in





tests.




      • Discussion of Specific Ion Tracers




      Chloride (Cl~):  Background levels  in ground  water are typically moder-




 ate  to high.   Chloride can be used  satisfactorily  where density effects can
                                     93

-------
be avoided and dispersion of clays  is not  likely.  A chloride  front  proceeds




at a high velocity and exhibits  little  distortion, resulting  in  sharp  elution




curves (Kaufman, 1956).  See Figure 4.6 for  a  comparison  of chloride,  dex-




trose, fluorescein, and  131I.  The  problem with  chloride  is the  necessity of




using high doses of NaCl to provide detectable concentrations  at  distant




wells, and the danger of altering the permeabilities of high-clay soils  by




ion exchange.  Kurty (1972) found that  Cl~ and nitrate  (NO ~)  move at  equal




rates.  Davis et al. (1980) reported that  the  injection concentration  of NaCl




should not exceed 3,000 mg/1 (ppm)  because of  the  increased density  effects.




Cl~ is a fairly conservative tracer which  may  be weakly adsorbed  by  some




soils.




     Bromide (Br~);  Bromide has low background  levels  in ground  water,  thus




allowing low injection concentrations relative to  chloride.   Br~  is  perhaps




the most commonly used ion tracer.  Jester and Uhler (1974) concluded  that




bromide was superior to chloride, iodide,  fluoride, and vanadium  when  used  as




a tracer in soil-water systems with post-sampling  neutron activation analy-




sis.  Schmotzer et al. (1973) reported  that  Br~  is biologically  stable,  and




appears not to be lost by precipitation, absorption, or adsorption.  Smith




and Davies (1974) found that NO  ~ lags  behind  Br~  as a  tracer.   Expected




background concentration of bromide will be  <1 mg/1 in most aquifers contain-




ing potable water (Davis et al., 1980).  There are numerous techniques for




detection and analysis of bromide,  ranging from  inexpensive methods  (electri-




cal conductance or specific ion  electrode) to  more expensive  methods (neutron




activation analysis or liquid chromatography).

-------
0     100   200   300    400   500   600    700   800
               VOLUME  ELUTED  (liters)
Figure 4.6.   A comparison of several  tracers in a laboratory
test.  Note  that  chloride shows less  of an effect of  sorption
than the other tracers (figure adapted from Kaufman,  1956).
                          95

-------
     Lithium (Li+);  Lithium has a  low  (0.05  to 0.3 mg/1)  background  concen-


tration in potable ground water, but has  a  high loss  to  ion  exchange  (Haas,


1959).


     Ammonium (NH"t');  This ion exhibits  relatively high loss  to  ion


exchange and the analysis of ammonia is more  difficult than  most  other  com-


mon ions (Haas, 1959).  Natural background  values  in  most  potable water are


below 5 mg/1.

                   • i                                             i i
     Magnesium (Mg   ):  As is  true  with other positive ions, Mg   is  subject


to sorption and ion  exchange.  However, analyses are  simple  and inexpensive.


Natural background values are  commonly  between 2 and  40  mg/1 in potable


ground water.


     Potassium (K^):  A simple potassium  ion  will  be  sorbed  and concentra-


tions in water will  be modified by  ion  exchange.   Analyses are rapid  and


simple with atomic absorption  or emission techniques.  Expected background


values in potable  ground water are  relatively low, ranging from about 0.2 to


10 mg/1.


     Iodide (I~):  Iodide has  very  low  background  concentrations  (generally


<0.01 mg/1).  Methods for sensitive analysis  of I~ are relatively simple.


However, iodide tends to be sorbed  to a greater extent than  either Br~ or


Cl~ (Davis et al., 1980) and it is  affected by microbiological activity.


     Organic anions:  These compounds have  very low background concentra-


tions, are nonsorbed, nonvolatile,  and  are  highly  to  moderately stable.


High precision measurement techniques are available with a detection  sensi-


tivity of 50 ppt.  One disadvantage is  the  high cost  of  these  compounds,


which include benzoate and m-TFMBA. Malcolm  et al. (1980) found  that these


compounds are highly mobile and have a  good sensitivity  of detection  and a


high precision of  measurement  using liquid  chromatography.



                                     96

-------
                                    Dyes







     Various organic dyes have been used  for  surface-water and ground-water




tracing since the late 1800's.  Dyes are  relatively  inexpensive,  simple  to




use,  and effective.  The extensive use  of  fluorescent  dyes for water  tracing




began around 1960.  Fluorescent dyes are  preferable  to non-fluorescent




varieties due to much better detectability.   Some  non-fluorescent dyes  in-




clude Congo Red and Malachite Green, which have  been used  in  conjunction




with cotton strip detectors (Drew, 1968)  or with visual detection,  often in




soil studies.  This discussion will concentrate  on fluorescent dyes,  which




are more suitable for ground-water studies.




     The most commonly used tracer dyes to be discussed include  fluorescein,




pyranine, lissamine FF, rhodamine B, rhodamine UT,  and sulfo  rhodamine  B.




Photine CU and amino G acid, two optical  brighteners,  will also  be men-




tioned.




     Table 4.4 gives the dyes by color, lists alternative  names,  and  pro-




vides spectra wavelengths and filter  combinations for their  analysis.  Sev-




eral dyes may be used in a  single tracer  test if the absorption  and emission




spectra do not overlap.  For example,  Smart  and  Laidlaw (1977)  recommended  a




combination of lissamine FF, amino G  acid, and rhodamine WT.   In general,




the  spectra do overlap, particularly  for  dyes of the same  color.   Figure 4.7




illustrates the excitation  and emission spectra  of rhodamine  WT.




     Although fluorescent dyes exhibit many  of the properties of an ideal




tracer, a number  of  factors interfere  with concentration measurement.




Fluorescence  is used  to measure  dye  concentration, but it  may vary with sus-




pended  sediment load, temperature,  pH,  CaC03  content, salinity,  etc.   Other




variables which affect  tracer  test  results are "quenching" (some emitted






                                     97

-------
                                                              TABLE  4.4

                                                Generic and  Alternative  Names
                                       And  Chemical  Structure of  the  Tracer  Dyes
Blue  Fluorescent Dyes

  Amlno C acid


  Photlne CD
                                 Alternative
                                    Names
                              Maximum
                            Excitation,
  7-anlno 1,3 napthalene
    dlsulphonlc. acid
                              355  (310)
                                                           345
Ma xImun
Emission,
   nm
                                              445
                                             435(455)
Primary
Filter
                                                             7-37*
Mercury
 Line,
  nm
                                                                             36 S
Secondary
 Filter
                                                                                           98**
Green Fluorescent Dyes

  FluoreaceIn



  Llssamlne FF



  Pyranlne
      Fluoresceln LT             490
        Uranlne
    Sodium fluoresceln

    Ussamlne yellow FF           420
Brilliant sulpho flavlne FF
  Brilliant acid yellow 8G

      Pyranlne Cone.           455(405)
      D  & C green 8
                                               520
  5V 5
  515
                                                             98**
                                                                              436
                                                                                            55**
Orange Fluorescent Dyes

  Rhodamlne  B

  Rhodamine  UT

  Sulfo rhodanlne B
                             Pontacyl brilliant pink B
                                  Llssamlne red 4B
                                  Klton rhodatnine B
                                  Acid rhodamlne B
                                555

                                555

                                565
   580

   580

   590
                                                         2xl-60*+61**
                                                                              546
                                                                                          4-97+3-66*
  Figured In parentheses re!er  to secondary  maxima-  For all  spectra, pH la  7.0.
  *  Corning filter.
   ** Hodak Wratten  filter.

   Source:  Smart  and Laldlaw (1977)

-------
1.0
2 _J 0.8
UJ
f-

~ S 0.6
(- ^ 0.4
< UJ

UJ Lu
a o 0.2
                             r  i	i—r
 0
 400
        Excitation spectrum
           (peak  558
                                                             Rhoclamine WT
                                              Emission spectrum
                                               (peck 582 m/z)
                                             Secondary filter  peak
                                                 (590
                                                 \
                        500             600

                              WAVELENGTH   (m//)
                                                           700
                                                                             800
    Figure 4.7.  Excitation  and emission characteristics of rhodamine  WT,
    a  fluorescent dye commonly used as a tracer  (source, Wilson,  1968).

-------
fluorescent light is reabsorbed by other molecules), adsorption, and photo-




chemical and biological decay.  These effects will be discussed in more




detail in reference to specific dyes.  Another disadvantage of fluorescent




dyes is their poor performance in tropical climates, due to chemical reac-




tions with dissolved carbon dioxide.




     The advantages of using these dyes include their very high detecta-




bility, rapid field analysis, and relatively low cost and low  toxicity.   The




theory of fluorescence is described by McLaughlin  (1982) and Skoog and West




(1980).  As described by McLaughlin, the process of  fluorescence involves




the following steps:  (1) energy is absorbed by the  molecule from  sunlight




or an ultraviolet lamp and a transition to a higher, excited electron  state




takes place; (2) the molecule relaxes from the highest  to the  lowest




vibrational energy of that state, losing energy in the  process; and  (3)  if




the excess energy is not further dissipated by collisions with other  mole-




cules (quenching), the electron returns to the lower ground electron




state.  This emission of energy due  to the transition  from  the higher  to the




lower state is  fluorescence.




     • Field Methods




     The basic  equipment necessary  for dye tracing is  a manual or  automatic




sampler and a field or laboratory detection  device.   Sampling  is  performed




by adsorption of dye onto  packets of activated  charcoal suspended  in the




water  (in karst topography),  or by  taking  grab  samples at  a discharge point




(for karst, porous media or  fractured  rock  studies).  A filter fluorometer




or a spectrofluorometer  is generally used  for  analysis, although visual




detection  is  sometimes used  for  qualitative  results.




     The tracer is  introduced at  a  sink  hole  or  well.   The  detection  limit




for fluorescent dyes  is  very low,  so the  quantity of tracer used is






                                     100

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relatively small.  The amount of  tracer  needed  has  been  approximated  for




karst systems by Drew and Smith  (1969).   They recommended  using  60  grams  of




dye per kilometer of underground  travel,  per 0.15 cubic  meters per  second of




discharge, at the largest likely  rising.  Atkinson  et  al.  (1973)  also




described a method to calculate dye  injection quantities for  karst  tests.




     One sampling technique used  in  karst tracing is  the Dunn method,




developed in 1957.  Small packets of  fine mesh  nylon  or  window screen are




filled with activated charcoal and suspended in the watercourse  at  the




sampling point.  The dye adsorbs  very strongly  onto the  charcoal, and is




later eluted by placing the bag  in a solution of  5% NH OH  and ethyl alcohol.




After soaking for one hour, the dye  can  be  analyzed.   The  charcoal  packets




must be changed periodically, depending  on  flow rates  and  dilution  of the




tracer.  Some examples of the use of  this method  are  given in Gann  and




Harvey (1975) and Drew and Smith  (1969).  Cotton  strip detectors  have been




used in a similar manner.  Marston and Schofield  (1962)  described a tracer




test using rhodamine B and cotton detectors.




     Flow-through fluorimeters are sometimes used,  which eliminate  the need




for sample collection.  However,  the  most common  method  is collection of




samples in sample bottles.  Automatic samplers  have been discussed  in




Chapter 3.  Glass bottles should  be  used rather than  polyethylene to  avoid




adsorption (Hubbard et al., 1982).   Reznek  et al. (1979) described  pro-




cedures for sampling and analyzing fluorescein,  and many of  the  procedures




apply to other dyes.  The samples and standards should be  buffered  to within




a 5 to 11 pH range before analysis.   If  the samples are  turbid,  it  is pref-




erable to centrifuge the samples  rather  than filter them,  as  dye  adsorbs
                                     101

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onto the filter.  The dye to be injected and the samples should both be




stored out of sunlight and preferably in light-proof containers.  Feuerstein




and Selleck (1963) found that some fluorescent dyes exhibit a 50% photochem-




ical chemical decay in two days, even when stored in light-proof flasks.




Obviously, it is advisable to analyze samples as soon as possible after




sampling.




     • Detection and Analysis




     It is possible to visually detect some dyes in water at a  concentration




of about 40 ppm (Corey, 1968).  This concentration is much higher than 10




ppb, which is the maximum permissible concentration allowed at  drinking




water intakes (Wilson, 1968).  The visual detection method is qualitative




and rarely used.




     Other detectors are the filter  fluorometer  and the  spectrofluorometer.




The filter fluorometer (or fluorimeter) consists basically of an ultraviolet




light source, glass curvets  (sample  holders), and  sets of primary and




secondary filters which correspond to the absorption and emission wave-




lengths of the dyes used.  The filter fluorometer must be calibrated with




standard solutions at the same temperature as the  samples to be analyzed.




As mentioned before, the fluorescence of a sample  is affected not only  by




concentration of the dye, but also by background fluorescence,  temperature,




pH, turbidity, photochemical decay,  and adsorption.  Temperature control




apparatus and correction charts are  available,  and methods  to avoid the




other interferences have been briefly discussed.   Two U.S. Geological  Survey




publications are very useful for planning a fluorescent  dye  test and  avoid-




ing these interferences.  "Fluorometric Procedures for Dye Tracing,"  by




Wil son (1968) is a classic  report,  and in 1982, Hubbard et  al. published  a




very useful updated report,  "Measurement of Time of Travel and  Dispersion  in







                                     102

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Streams by Dye Tracing."  These two are excellent references, as is the




article by Smart and Laidlaw (1977).




     Fluorometers are available with individual sample analysis capability,




or with flow-through sampling (see Figure 4.8).  They can be equipped with




strip-chart recorders, and can be powered in  the field with a portable




generator (with a transformer) or a car battery (Hubbard et al., 1982).




Some of the most well-known fluorometers are  made by American Instrument




Company and by G. K. Turner Associates.




     Spectrofluorometers are more expensive  and more complex  to operate  than




filter fluorometers.  They are generally not  taken  into  the  field.  An




example of this type of  instrument  is  the Aminco-Bowman  ultraviolet spectro-




photofluorometer made by American Instrument  Company.  Table  4.5 shows  sen-




sitivity  and minimum detection for  certain  dyes.




     • Additional Information




     The  effects of temperature, pH,  and  suspended  solids  concentration on




fluorescence have been  mentioned.   Fluorescence  intensity  is  inversely  pro-




portional to  temperature.   Smart and  Laidlaw (1977) described the  numerical




relationship and provide temperature  correction  curves.   The  effect  of  pH on




rhodamine WT  fluorescence  is  shown  in Figure 4.9.   An  increase  in  the sus-




pended sediment  concentration  generally causes a decrease  in fluorescence.




Adsorption  on  kaolinite caused  a  decrease  in the measured  fluorescence  of




several  dyes,  as measured  by  Smart  and Laidlaw (see Figure 4.10).




     The  detected  fluorescence  may  decrease, as  in this  example,  or actually




increase  due  to  adsorption.   If  dye is adsorbed  onto suspended solids,  and




the fluorescence measurements  are  taken without  separating the water  samples




from the  sediment,  the  dye concentration is a measurement of sediment
                                     103

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o
Constant-voltage
  transformer
                                                           Voltmeter
                                             Standard
                                             solution
                                             (optional)
                    generator
                  Figure 4.8.  Cave streams or  large  springs can be monitored  for  dye tracers by using continuously
                  recording fluorometers as shown  schematically in this diagram by Wilson (1968) .   Less expensive
                  but  also less precise methods  of monitoring for dye can use  packets of activated charcoal which
                  are  placed in the stream.  The dye,  if present, is strongly  sorbed  on the charcoal which is  then
                  taken into the laboratory for  analysis.  The charcoal packets are replaced periodically in the
                  stream until the test is finished.

-------
                                  TABLE 4.5

                      Sensitivity and Minimum Detectable
                      Concentrations for the Tracer Dyes
Dye
Amino G Acid
Photine CU
Fluorescein
Lissamine FF
Pyranine
Rhodamine B
Rhodamine WT
Sulfo rhodamine B
Sensitivity*
yg/1 Per Scale
Unit
0.27
0.19
0.11
0.11
0.033
0.010
0.013
0.061
Background
Reading**
Scale Units
0-100
19.0
19.0
26.5
26.5
26.5
1.5
1.5
1.5
Minimum
Detectability***
yg/1
0.51
0.36
0.29
0.29
0.087
0.010
0.013
0.061
   For a Turner 111 filter fluorometer with high-sensitivity door and
recommended filters and lamp at 21°C.

   *   At a pH of 7.5.

   **  For distilled water.

   *** For a 10% increase over background reading or 1 scale unit,
       whichever is larger.

   Adapted from Smart and Laidlaw (1977).
                                       105

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                          pH
Figure 4.9.  The fluorescence of most dyes is
dependent on pH and the types of dominant ions
present.   Results of some experiments on the
fluorescence of rhodamine WT are shown in this
figure adapted from Smart and Laidlaw (1977).
                     106

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                                Sulfo
                                  Rhodamine B
                5         10         15         20
            KAOLiNITE  CONCENTRATION (g/l)
Figure 4.10.  Most dyes will be adsorbed on fine par-
ticulate  material, particularly on  organic fragments
and clays.  Results of experiments  with the adsorption
of dyes on  kaolinite (a type of clay) as reported by
Smart  and Laidlaw (1977) are shown  in this illustration.
                     107

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content and not of water flow.  As mentioned  before,  the ideal separation is




with a centrifuge, as  the dye can adsorb  onto filter  paper.   Adsorption can




can occur on organic matter, clays (bentonite,  kaolinite,  etc.),  sandstone,




limestone, plants, plankton, and even  glass  sample bottles.   These adsorp-




tion effects are a strong incentive  to choose a non-sorptive dye  for the




type of medium tested.




     Dyes travel slower than water due to adsorption, and are generally not




as conservative as the ionic or radioactive  tracers.   See Figure  4.6 in the




ion section for a comparison of chloride, dextrose, fluorescein,  and 1*31.




Drew (1968) compared lycopodium,  temperature, and fluorescein as  karst




tracers and found fluorescein breakthrough to be slowest (Figure  4.11).  He




questioned the ability of fluorescein to  give accurate data  on flow rates.




Field data comparing the more recently developed dyes are not yet available.




Atkinson et al. (1973) stated that an advantage of fluorescent dye measure-




ment over lycopodium analysis is  the ability to make  deductions about dis-




charges, changes in storage, and  the geometry of the  system.  They suggest




that dyes are more useful than spores  for obtaining the maximum amount of




quantitative information about a  small karst system.




     A final point concerning the interpretation of tracer tests  is empha-




sized by Brown and Ford (1971).  They  obtained some very interesting results




by running three identical dye tracer  tests  in the same karst system.  These




yielded three different flow-through times.   One of the values differed by




50% from the original test value.  Although  only one  test  is generally run




due to economic considerations, it may be advisable to run several tests to




check reproducibility if accuracy is important.
                                    108

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                                   — — ——  Lycopodium
                                            Temperature
                                            Fluorescein
     2.5    5.0
7.5    10.0   12.5  15.0
   TIME  (minutes)
17.5  20.0  22.5   25.0
Figure 4.11.  A comparison of the results of three simul-
taneous tracer tests in a karst system (data from Drew,  1968).

-------
     A comparison of the cost of various fluorescent dyes  is given in Table




4.6.  Prices are given in British pounds per kilogram for  bulk dye.  Volume




labeled per unit cost is also listed, and rhodamine B appears to be  the most




cost effective.  However, problems with its use will be discussed in a sub-




sequent section.




     Some of the available toxicity data will be mentioned in regard to




specific dyes in the following section.  Smart and Laidlaw (1977) discussed




the toxicity of dye tracers, but regulations may change rapidly and  should




be researched before conducting a test.  Current World Health Organization,




Environmental Protection Agency, and  state health standards should be con-




sulted.




     • Discussion of Specific Dye Tracers




     Green Dyes




        Fluorescein




     Fluorescein, also known as uranin, sodium fluorescein, and pthalien,




has been one of the most widely used  dyes.  Like all green dyes,  its use  is




commonly complicated by high natural  background  fluorescence, which  lowers




sensitivity of analyses and makes interpretation of results more  difficult.




It has a very high photochemical decay  rate compared  to  other dyes




(Feuerstein and Selleck, 1963), but this is generally  of  little concern  in




ground-water tracing.




     Feuerstein and Selleck (1963) recommended that  fluorescein be restricted




to short-term studies of only the highest  quality water.   Because this  dye  is




affected strongly by pH (it becomes colorless  in acidic  conditions), they




suggested that the sample pH be adjusted to greater  than 6 before analysis.




Fluorescein also exhibits an appreciable decrease  in  fluorescence with
                                     110

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                                              TABLE 4.6




                                     Relative Costs  of  Dyes
Dye
Ami no G Acid
Photine CU
Fluoresceln
Lissamlne FF
Pyranine
Rhodamlne B
Rhodanlne WT
Sulfo rhodamine B
State
powder
20% solution
powder
powder
powder
powder
201 solution
powder
Relative Cost
Per Kilogram*
4
1
4
14
13
5
7
9
Volume Labeled
Per Kilogram**
(lOV/kg)
2
3
4
4
12
100
77
16
Volume Labeled
Per Unit Cost
(105m3/cost)
5.7
6.0
10.0
2.8
9.2
200.0
22.0
17.8
After Smart  and Laidlaw (1977).



* Costs are  approximate and based on 1975 prices;  the higher the number,  the higher the price  of  the dye.




** Based on  minimum detectabllltles In Table 4.5.

-------
increasing salinity, and is similarly affected by oxidizing agents and  sus-




pended solids (Reznek et al., 1979).




     Some examples of flucreseein use include a fractured  rock  study  by




Lewis (1966).  Borehole dilution tests resulted in hydraulic  conductivity




values similar to pump test values.  Another example  is  a  mining  subsidence




investigation in South Wales, where more  than one ton of fluorescein  was  used




in a sandstone tracer test (Mather et al.,  1969).  A  distance of  1,100  feet




was traversed.  Tester et al. (1982) used fluorescein to determine fracture




volumes and diagnose flow behavior in a fractured granitic geothermal reser-




voir.  He found no measurable adsorption  or decomposition  of  the  dye  during




the 24-hour exposures to rocks at 392°F.  Omoti and Wild (1979) stated  that




fluorescein is one of the best tracers  for  soil studies, but  Rahe et  al.




(1978) did not recover any injected  dye in  their hillslope studies, even at  a




distance of 2.5 meters downslope from the injection point. The same  experi-




ment used bacterial  tracers  successfully.  Figure 4.11 compares fluorescein,




lycopodium, and temperature  as karst tracers.




     An advantage of using fluorescein  (or  any of the green dyes) is  its




emission in the green band of the visible spectrum.   Fluorescein can  be




visually detected at a concentration of about  40 ppm, but  other means of




detection are preferred since this  is a relatively  high concentration.   The




approximate sensitivity and  minimum  detection  limit  for fluorescein are




given  in Table 4.5.




     Fluorescein  is  less costly  in  bulk than many  of  the dyes (see Table




4.6),  but due to  its high photochemical decay  rate  and high amount of adsorp-




tion,  it increases  in relative cost  as  the  length  of  the test increases  (more




dye  must be added to compensate  for  loss).
                                     112

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        Pyranine




     Another green fluorescent dye, pyranine, has a stronger fluorescent




signal than does fluorescein, but  Is much more expensive.  It has been used




in several soil studies, and Reynolds  (1966) found it to be the most  stable




dye used in an acidic, sandy soil.  Omoti and Wild (1979) recommended pyra-




nine and fluorescein as the best tracers for soil tests, although pyranine




is relatively unstable if  the organic  matter content of  the soil  is high.




Drew and Smith (1969) stated that  pyranine  is not as easily detectable as




fluorescein, but is more resistant to  decolorization and adsorption.   Pyra-




nine has a very high photochemical decay rate,  and  is  strongly  affected  by




pH in the range found in most natural  waters  (McLaughlin,  1982).




        Lissamine FF




     This green dye has been used  primarily for  aerosol tracing (Yates  and




Akisson, 1963), and has not been used  extensively  in  ground-water tests.




Little  information is available  on the performance  of  lissamine FF;  however,




Smart and Laidlaw (1977) recommended  it as  the  best  quantitative tracer  of




the  three green dyes  discussed.  The  dye  is extremely stable  and resistant




to adsorption  losses, but  is much  more expensive than most dyes.




     Orange  Dyes




        Rhodamine B



   Rhodamine B was  the  first of  the three  orange (or red)  dyes to be used in




water  tracing.   Its  high  adsorption losses make it a less suitable tracer




for  ground-water  work than rhodamine WT or sulfo rhodamine B, although it




has  been  used  more  frequently.   Aulenbach et al. (1978) concluded that rho-




damine  B  should  not  be  used as a ground-water tracer due to sorption losses,




and  Feuerstein and  Selleck (1963)  reported significant adsorption.   They




also found that  the fluorescence of rhodamine B is affected by large





                                     113

-------
salinity changes.  Knuttson (1968) reported  that  the dye  is relatively  unaf-




fected by pH in the range found in most natural waters  (5-10).  The  dye how-




ever, is sensitive to temperature (Omoti,  1977) and exhibits  optical quench-




ing by suspended solids.  Like fluorescein,  rhodamine B has a large  inter-




ference from high background fluorescence  in tropical areas.   It  is  less




affected than the other rhodamine dyes by  bacteria and  light,  but  it adsorbs




readily on bentonite, sand and gravel, till, and  karst  channels,  pure quartz




sand, and even plastic and glass laboratory  columns (Table 4.7).   Hubbard et




al. (1982) compared rhodamine B and rhodamine WT  and found high adsorption




of rhodamine B on aquatic plants, suspended  clays, and  glass  and  plastic




sample bottles.  They found rhodamine WT easier to handle and more economi-




cal than rhodamine B.  Although the unit cost of  rhodamine B  is lower,  its




loss rate is much higher than that of rhodamine WT.




     Rhodamine B was decertified for use in  cosmetics by  the  U.S.  Food  and




Drug Administration in the 1960's.  In 1968, it was illegal for use  as  a




water tracer in the U.S. (Drew, 1968).  Both rhodamine  B  and  fluorescein




were placed on toxicological classification  Gill  by the Food  and  Agriculture




Organization/World Health Organization.  Of  the dyes discussed in this




article, rhodamine B is generally recognized as the most  toxic to man,  as it




is readily adsorbed onto body tissue.  Currently,  the U.S. Geological Survey




recommends that tracer tests should result in a final concentration  less




than 10yg/l.  Numerous studies related to  toxicity tests  for  various aquatic




organisms are reported by Smart and Laidlaw  (1977), and they  recommend  that




the dye not be used as a water tracer.




        Rhodamine WT




     This dye has been considered one of the most useful  tracers  for quanti-




tative studies, based on minimum detectability, photochemical and biological






                                    114

-------
decay rates, and adsorption  (Smart and Laidlaw,  1977; Wilson,  1968; and




Knuttson, 1968).  Hubbard et al. (1982) stated  that  it  is  the  most  conserva-




tive of dyes available for stream or karst  tracing.




     Some recent uses of rhodamine WT include projects  by  Burden  (1981),




Aulenbach et al. (1978), Brown and Ford (1971),  Gann (1975), and  Aulenbach




and Clesceri (1980).  Burden successfully used  the dye  in  a water contami-




nation study in New Zealand  in an alluvial  aquifer.   Aulenbach and  Clesceri




also found rhodamine WT very successful in  a sandy medium.




     Gann (1975) used rhodamine WT for karst tracing in a  limestone and




dolomite system in Missouri.  He used grab  samples and  activated  charcoal




packets, and traced a 14 km  (8.7 mile) path.  Three  fluorescent dyes  (rhoda-




mine B, rhodamine WT, and fluorescein) were used by  Brown  and  Ford  (1971)  in




a karst test in the Maligne  Basin in Canada.  The highest  recovery  of dye




(98%) was obtained for rhodamine WT.  The fluorescein was  not  recovered  at




all.  The horizontal flow path was 1.3 miles, and a  Turner III fluorometer




was used for analysis.




     Aulenbach et al. (1978) compared rhodamine B, rhodamine WT,  and  tritium




as tracers in a delta sand.  The project  involved tracing  effluent  from  a




sewage treatment plant.  Sampling was performed with drive points,  pumped




wells, and lysimeters.  The  rhodamine B was highly adsorbed, while  the rho-




damine WT and tritium yielded similar break-through  curves (Figure  4.12).




Rhodamine WT seems to be adsorbed less than rhodamine B or sulfo  rhodamine B




(Table 4.7).  Wilson (1971)  found that in column and field studies, rhoda-




mine WT did show sorptive tendencies.




     Rhodamine WT is thought to be slightly less toxic  than rhodamine B  and




sulfo rhodamine B (Smart and Laidlaw, 1977).  This  source  notes that  rhoda-




mine WT and fluorescein are  of comparable toxicity,  but Aley  and  Fletcher







                                    115

-------
    30O
c
"E
20O -
O
u
cc
                                         Rhodamine WT
                                                              E
                                                              0.
                                                              a.
     IOO -
                                                              Z
                                                              llJ
                                                              O
                                                              z
                                                              O
                                                              O
                                                              UJ
                                                              >
                                                              Q
                            TIME  (days)
        Figure 4.12.  Although many researchers have found that
        rhodamine WT is sorbed on  aquifer material, data presented
        by Aulenbach et al.  (1978) suggest that this dye can be
        used in coarse, permeable  sand.  Comparative data from the
        study by Aulenbach et al.  (1978) using tritium and rhoda-
        mine WT indicate little  difference between the two tracers
        as shown in this figure  adapted from their study.
                               116

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                   TABLE 4.7

  Measured Sorption of Dyes on Bentonite Clay
                                     Losses Due to
      Dye                         Adsorption on Clay

Rhodamlne WT                               28%

Rhodamine B                                96%

Sulfo Rhodamine B                          65%
Source:  Repogle et al. (1966)
                       117

-------
(1976) stated that rhodamine WT is not as  "biologically  safe" as




£lucreseein.




        Sulfo rhodamine B



     Sulfo rhodamine B, also known as pontacyl brilliant pink,  has  not  been




used extensively as a ground-water tracer.  Its  fluorescence  is affected




slightly by high salinity, and it exhibits  low adsorption on  suspended



sediment (Feuerstein and Selleck, 1963).   Table  4.7  compares  the  adsorption




of the rhodamine dyes onto bentonite.  This dye  is more  expensive  than  the




other rhodamine dyes, and its toxicity appears to be  slightly higher  than




that of rhodamine WT.




     Blue Dyes




     The optical brighteners are blue fluorescent dyes which  have  been  used




in increasing amounts in the past decade  in textiles, paper,  and  other




materials to enhance their white appearance.  Water  which has been contam-




inated by domestic waste can be used as a  "natural"  tracer, if  it  contains




detectable amounts of the brighteners.  Glover (1972) described the use of




optical brighteners in karst environments.  Examples  of  the brighteners are




amino G acid and photine CU.  These two are the  least sensitive of  the  dyes




reviewed (Table 4.5), but the blue dyes have  much lower  background levels in




uncontaminated water than do the green or  orange dyes.




     Photine CU is significantly affected  by  temperature variations,  and




both dyes are affected by pH below a pH of  6.0.  The  dyes have  high photo-




chemical decay rates, similar to those of  pyranine and fluorescein.  Amino  G




acid is fairly resistant to adsorption.




     Toxicity studies on optical brighteners  were reviewed by Akamatsu  and




Matsuo (1973).  They concluded that the brighteners  do not present any  toxic




hazard to man, even at excessive dosage levels.






                                     118

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            Some Common Nonionized and Poorly Ionized Compounds






     A number of chemical compounds will dissolve  in water but will not




ionize or will ionize only slightly under normal conditions of pH  and Eh




found in ground waters.  Some of these compounds are relatively  difficult  to




detect in small concentrations, others present  a health hazard,  and still




others are present in moderate  to large concentrations in natural  waters,




thus making the background effects difficult  to deal with in  most  settings.




A list of a few of these compounds is given  in  Table 4.8.




     The use of these and similar compounds  as  injected tracers  in ground




water is limited to rather special cases.  Of those  listed, boric  acid would




probably act most conservatively over long distances of ground-water  flow.




Boric acid has been used successfully as a tracer  in a geothermal  system




(Downs et al., 1983).  Large  concentrations,  1,000 mg/1 or more, would need




to be used for injected tracers which, unfortunately, would pose difficult




environmental questions if tracing were attempted  in aquifers with potable




water.  From the standpoint of  health concerns, sugars would  be  the most




acceptable; however, they decompose  rapidly  in  the subsurface and  also  tend




to be sorbed on some materials.  Results of  an  experiment using  dextrose  are




shown in Figure 4.6.  Alcohols  such  as ethanol  would also  tend to  be  sorbed




on any solid organic matter which might be present.  Another  problem  with




the use of most of these compounds as  tracers is  that  they  would need to  be




introduced in moderately large  concentrations which  in  turn would  materially




change the density and viscosity  (particularly  for glycerin)  of  the  injected




tracer mixture.
                                     119

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                              TABLE 4.8
      A List of Some Simple Compounds Which are  Soluble  in Water
     Name
      Formula
          Remarks
Silicic Acid
Boric Acid
       H.S-iO,
        it i ^

(After combination
 with water)
       H3B°3
Phosphoric Acid
Acetic Acid
       H3P<\
Present in normal ground
water in non-ionized form in
concentrations of between 4
and 100 mg/&.  Low toxicity.

Present in normal ground
water in nonionized form in
concentrations of 0.05 to 2.0
mg/fc.  Toxic to plants above 1
to 5 mg/£.  Toxic to humans in
higher concentrations.

ionizes above pH of 6.0.  Will
form complexes with other dis-
solved constituents.  Sorbs on
or reacts with most aquifer
materials.  Natural concentra-
tions mostly between 0.05 mg/£
and 0.5 mg/JU

Moderately toxic in high con-
centrations.  Water soluble.
Natural concentrations are less
than 0.1 mg/Jl in ground water.
Ethyl Alcohol
(Ethanol)
Sugars

     Sucrose

     Maltose

     Lactose

     Clucose

Glycerol
(Glycerin)
       C2H6°
     C12H22°11

     C12H22°11

     C12H22°11

     C6 H12°6

     C3H6<\
Major component of alcoholic
drinks.  Water soluble.
Natural concentrations are  less
than 0.05 mg/£ in ground water.

Major components of human and
animal foods.  Water soluble.
Probably less than 0.2 mg/£ in
most ground water.
Water soluble.  Low toxicity.
Probably absent in natural
ground water.
                                  120

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   Some of these compounds such as  sugars, nevertheless, may  be  useful  for




simulating the movement of other compounds which  are  also  subject  to  rapid




decomposition but which are too hazardous to  inject directly  into  aquifers.




   Detection;  Silica and phosphates  can be determined  by  rather simple




colorometric methods using standard solutions and photometric detectors.




Boron is also detected by colorometric methods  but the  chemical  procedure  is




more complicated than for silica and  phosphate.   The  organic  compounds




listed in Table 4.8 are probably best detected  by chromatographic  methods.




Also, high concentrations of  glycerin and sugars  are  detected easily  by




optical refraction techniques.






                                    Gases






     Introduction;  Numerous  natural  as well  as artificially  produced gases




have been found in ground water.   Some of these gases can  serve  as tracers




which are already introduced,  generally by natural processes, into the




ground-water system.  In addition,  gas can be injected  into ground water




and the gas which is consequently  dissolved can then  serve as an injected




tracer.  Only a few examples  of injected gases  used for ground-water  tracers




are found in the literature.




     The amount of gas which  is dissolved in  water increases  with the gas




pressure, decreases with an increase  of temperature,  and decreases with an




increase of the salinity of the water.  In most situations, once gas  is dis-




solved in ground water at near-atmospheric pressures, the  gas will tend to




stay in solution as the water enters  the ground-water system.  This is due




to the fact that fluid pressure increases rapidly as  water moves downward




into an aquifer and the gas will effectively  be under a pressure far  above
                                     121

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 the  original pressure.   If gas such as methane (CH ) is being generated in




 the  subsurface in large quantities, however, this gas may work its way as




 undissolved  bubbles of  gas through the aquifer and will remove much of the




 preexisting  dissolved gases from the ground water.




      Gases of  potential use in hydrogeologic studies are listed in Table




 4.9.




      Inert Radioactive  Gases;   Chemically inert but radioactive 133Xe and




 85Kr  appear  to be suitable for many injected tracer applications (Robertson,




 1969; and Wagner,  1977),  provided legal restrictions can be overcome.  Of




 the natural  inert radioactive  gases, 222Rn is the most abundant.  It is one




 of the  daughter products from  the spontaneous fission of 238U.  Radon is




 present in the subsurface,  but owing to the short half-life (3.8 days) of




 its principal  isotope,  222Rn,  and the absence of parent uranium nuclides in




 the atmosphere,  radon is  virtually absent in surface water which has reached




 equilibrium  with the  atmosphere.   Surveys of radon in surface streams and




 lakes have,  therefore,  been useful in detecting the locations of places




where diffuse  ground  water  enters surface waters (Rogers,  1958).




     Inert Natural  Gases;   Because of their nonreactive and nontoxic nature,




noble gases  are  potentially  useful tracers.   Helium is used widely as a tra-




cer in  industrial processes.   It  also has been used to a limited extent as a




ground-water tracer (Carter  et  al.,  1959).   Neon,  krypton,  and xenon are




other possible  candidates for  injected tracers because their natural concen-




trations are very low (Table 4.9).   Although the gases do  not undergo chem-




ical reactions  and  do not participate in ion exchange, the heavier noble




gases (krypton  and  xenon) do sorb to some extent on clay and organic




material.
                                     122

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               TABLE 4.9




Gases of Potential Interest as Tracers
Name of Gas
Argon
Neon
Helium
Krypton
Xenon
Carbon Monoxide
Nitrous Oxide
Approximate Natural Background Assuming
Equilibrium with Atmosphere at 20°C
(mg gas/liter water)
0.57
1.7 x 10"14
8.2 x 10~6
2.7 x ID""
5.7 x 10~5
6.0 x 10"6
3.3 x lO""
Maximum Amount In Solution Assuming 100Z
Gas at Pressure of i atra at 20°C
(mg gas/liter water)
60.6
9.5
1.5
234
658
28
1100

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     The very low natural concentrations of noble  gases  in ground water  make




them useful as tracers, particularly in determining ground-water velocities




in regional aquifers.  The solubility of the noble gases  decreases with  an




increase in temperature.  The natural concentrations  of  these  gases  in




ground water are, therefore, an indication of  surface temperatures at  the




time of infiltration of the water.  This fact  has  been used  to reconstruct




the past movement of water in several aquifers (Sugisaki, 1969; Mazor, 1972;




Andrews and Lee, 1979).




     Fluorocarbons;  Numerous artificial gases have been manufactured  during




the past decade and several of these gases have been  released  in sufficient




volumes to produce measurable concentrations in the atmosphere on a  world-




wide scale.  One of the most interesting groups of these gases are the




fluorocarbons (Table 4.10, Figure  4.13a).  The gases  generally pose  a  very




low biological hazard, they are generally stable  for  periods measured  in




years, they do not react chemically with other materials, they can be




detected in very low con-centrations, and they sorb only  slightly on most




minerals.  They do sorb strongly,  however, on  organic matter (Figure 4.13b).




     Fluorocarbons have two primary applications.  First, as an environmen-




tal tracer, they can be used in the same way tritium  is  used.   Because large




amounts of fluorocarbons were not  released into the atmosphere until the




late 1940's and early  1950's, the  presence of  fluorocarbons  in ground  water




indicates that the water was in contact with the  atmosphere  within the past




30 to 40 years and that the ground water is very  young (Thompson and Hayes,




1978).  The second application of  fluorocarbon compounds  is  for injected




tracers (Thompson, Hayes, and Davis, 1974).  Because  detection limits  are




so low, large volumes  of water can be labeled  with the tracers at a  rather
                                     124

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                                   TABLE 4.10

                      Properties of Fluorocarbon Compounds

                                (from Thompson)
Common Name
 Chemical
 Formula
Boiling Point
at 1 atm (°C)
Solubility in Water
at 25°C (weight %)
Freon-11
Freon-12
Freon-113
  CC13F
  CC12F2
CC12F-CC1F2
                     CBrClF.
   23.8
  -29.8
   47.6
                      -4.0
       0.11
       0.028
       0.017
                             unknown
                     CBr2F2
                   C BrI-CBrF.
                      24.5
                      47.3
                             unknown
                             unknown
                                        125

-------
                                       Br-
                                                 BROMIDE
                                       BCF	CCIBrF2
                                       F-ll	CC13F
                                       F-II3	C2CI3F3
.6    .8    1.0   1.2   1.4
                            1.6  1.8  2.0 2.2   2.4  2.6  2.8  3.0  3.2  3.4  3.6  3.8  4.0
                               PORE  VOLUMES
Figure 4.13(a).  Laboratory experiments with fluorocarbon tracers and bromide flowing through
a column of quartz sand.   Note  the reduced concentration peaks, the "tailing" of the curves,
and the delay of the arrival of the peak concentrations relative to bromide caused primarily
by sorption of the fluorocarbon tracers on the quartz  (data from Thompson and Hayes, 1978) .

-------
.05

.04

.03

.02

.Ol
                  c/cc
                 .07
                 .06
                 .05
                 .04
                 .03
                 .02
                 .01
                          .NaCI
                        .8   1.6  2.4  3.2  4.0
                         PORE  VOLUME
                                 NaCI
                    O  .4  .8  1.2 1.6 2.O 2.4 2.8 3.2 3.6
                            PORE  VOLUME
            NaCI
                 CCI3F
                               234
                              PORE VOLUME
Figure 4.13(b).  Tracer elution  curves  for laboratory experi-
ments with NaCI  (common salt)  and  CCl-jF (Freon-11 of trichloro-
fluoromethane) using  (A) Ottowa  sand  (no fine material),  (B)
Yolo sandy loam  (small amount  of clay and some silt), and (C)
crushed coal.  Note that NaCI  curves  are similar for all  experi-
ments but that fine inorganic  material  reduces the peak  concen-
tration and delays the breakthrough curve for CCloF.  Crushed
coal, like most  solid natural  organic material,  will adsorb most
of the CCl-jF and will release  it very slowly to  the water as it
passes through the test column.  Data from Brown (1980).
                           127

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modest cost.  Despite the problem of  sorption  on  natural  material  and  espe-





cially on organics (Figure 4.13), initial  tests have  been quite  encouraging.




     • Field Methods




     Because the tracers are gases,  it  is  most convenient to  transport them




to the field in pressurized containers  for  tracer injection.   The  gas  is




then bubbled into the water which is  used  for  the tracer.   For qualitative




work, this is a simple task.  If the  initial tracer  concentrations are to be




established quantitatively, the gas  injection  should  be made  first into a




container where the gas and injected  water  are turbulently mixed and  brought




into equilibrium at a known temperature  and pressure.  Provision should be




made to sample this labeled water  just  before  it  is  injected  into  the  aqui-




fer to ensure that the initial  concentrations  are constant during  the  test.




     For most fluorocarbons, the tracers are dissolved first  in the labora-




tory in methanol or some other  solvent.   The solvent  is then  injected  as  a




liquid into the water which is  used  for  the tracer test.




     The most critical aspect of the  field work is the sample collection  and




preservation.  All gas tracers  will  be  lost rapidly  to the atmosphere  unless




samples are sealed in metal or  glass  containers.   Most plastic containers




are somewhat permeable to gas.  Even  certain types of glass are slightly




permeable to light gases.  Furthermore,  all seals and caps should  be  metal




or glass if fluorocarbons are being  used because  these compounds are  sorbed




strongly on many greases and plastic  sealers.




     The problem of the storage and  shipping of water with fluorocarbon tra-




cers is one of the major limitations  of  this method.   Glenn Thompson,  who




has worked extensively with these tracers,  has developed  an analytical sys-




tem for field use which largely eliminates the problem of sample integrity




(Thompson and Hayes, 1978).






                                      128

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     • Analysis




     Although a number of  inexpensive gas-analysis kits  are  available,  these




are generally unsatisfactory for  tracer  studies.  Quantitative  analyses  of




gas should be done either  with a  gas chromatograph (GC)  or a mass  spectrom-




eter (MS).  Commonly a combined instrument,  the GCMS,  is  used.   The  use  of




these analytical instruments is standard and within  the  training of  all  good




analytical chemists.  The  difficult or nonstandard part  of the  analyses  for




most chemists, however,  is in the method by  which the  tracer gases are




removed quantitatively from the sample and  fed  into  the  analytical system.




For most laboratories, the development of a  gas  stripping system for the




samples is not a trivial  task unless  the chemists have had previous  ex-




perience with the analysis of gas from water samples.




     The measurement of  fluorocarbon  compounds  is generally  accomplished




with an electron-capture  detector used in conjunction  with a gas chromato-




graph.  Special care should be taken  that no plastic connectors and  valves




are in contact with the  sample being  analyzed.







                              Stable  Isotopes






     Introduction:  In this short section,  we will  look  briefly at  the  use




of natural stable isotopes for water  tracers.   A detailed treatment  of  the




topic, however, is beyond  the scope of this  manual.   The reader is referred




to several excellent summaries of the  topic  (Gat, 1971;  Fritz  and  Fontes,




1980; and Ferronsky and  Palyakov, 1982).




     An isotope is a variation of an  element produced  by differences in the




number of neutrons in the  nucleus of  that element.   Thus, hydrogen has  two




stable isotopes.  One isotope (*H) has only  a proton and no  neutron  in  the

-------
 nucleus;  the  other  (2H)  has a proton plus a neutron in the nucleus.  In




 addition,  hydrogen  has an unstable,  or radioactive, isotope (3H) which has




 two  neutrons  in addition to the  proton in the nucleus.  An important char-




 acteristic of  isotopes is that isotopes of an element, for all practical




 purposes,  will react  chemically  in an identical way.   For example,  varia-




 tions  of  sulfur  isotopes (as  32S,  3l+S, and 36S) in the sulfate ion will not




 affect  the way in which  the ion  moves with the water.   Thus,  the water can




 be labeled with  the isotope without  affecting significantly the movement of




 the  constituent.




     In general, the  uncertain ability to detect small artificial variations




 of most isotopes against the  natural background, the  high cost of their




 analysis,  and  the expense of  preparing isotopically enriched  tracers,  means




 that stable isotopes  are rarely  used for artificially  injected tracer  stud-




 ies  in the field.  They  are,  however,  quite widely used to detect sources of




 pollution  and  to help  determine  areas of natural recharge.




     Research  into the topic  of  stable isotopes of various elements in natu-




 ral waters  is  progressing  rapidly, and the potential usefulness of  these




 isotopes to ground—water  tracing will undoubtedly increase markedly in the




 near future.




     Hydrogen  and Oxygen:   The two stable  isotopes of  hydrogen (-H  and 2R)




and the three  stable  isotopes  of oxygen (1&0,  170,  and 180) form part  of the




water molecule, and analyses  of  their natural  concentrations  have been used




widely to  help understand  the  movement of  ground waters.   Natural variations




in shallow ground water  are generally  related  to variations within  the orig-




inal recharge  water coming  from  the  surface.   Because  of  the  large  differ-




ences in mass  between  the  two  hydrogen isotopes,  they  tend to  fractionate







                                      130

-------
whenever evaporation  or  condensation  of  water  takes  place.   Other  factors




being equal, waters with a  higher  2H  (commonly called  deuterium)  content




will be found near the coastlines,  at  low  elevations,  in warm rains,  and in




water which has undergone partial  evaporation  such as  in soil moisture  dur-




ing periods of little rain  or  in saline  lakes.   Although mass differences




among oxygen isotopes are not  as large as  those of hydrogen,  natural  frac-




tionation of those isotopes also takes place.   The variations in  i80  and 170




contents of shallow ground  water generally follow those  of  deuterium.   That




is, if the water has  a larger  than normal  2H/-H ratio,  it will generally




have also a larger than  normal  i80/i60 ratio (because  'l  '0 is much  less




abundant than either  *80 or i60,  it is rarely  reported in routine  isotopic




studies).  This general  relationship  is  defined by Craig's  line and is  shown




in Figure 4.14.  Possible departures  from  this line  can  be  caused  by  exces-




sive evaporation, by  reactions  between minerals and  hot  water, and by  other




less important effects.




     The most common  use of  studies of 2H  and  *80 has  been  to trace the




large-scale movement  of  groundwater and  to locate areas  of  recharge




(Figure 4.15).




     Nitrogen:  The two  abundant isotopes  of nitrogen  ( 14N  and 15N) can vary




significantly in nature.  Ammonia  escaping as  vapor  from decomposing  animal




wastes, for example, will tend  to  remove the lighter (14N)  nitrogen and will




leave behind a residue rich in  heavy  nitrogen.   In contrast,  many  fertili-




zers with an ammonia  base will  be  isotopically light.  Natural soil nitrate




will be somewhat between these  two  extremes.   As a consequence, nitrogen




isotopes have been useful in helping  to  determine the  origin of unusually




high amounts of nitrate  in  ground  water.
                                     131

-------
8 D %o

-I-100




    o
-100
-200
-300
                                      Water
                                       from
                                     coastal
                                      areas
                                                   -Ocean water
                              Water
                          in mountains
                           and inland
                   Snow frorn
                 high mountains
                    in  Arctic
                and Anarctic
Direction of
shift due to
intense  evaporation
                                                       18
                                         Direction of 5  0  shift
                                         due to high-temperature
                                         interaction  with  minerals.
 Snow at
   South
r~  / Pole
      Figure  4.14.   Relationship between deuterium and oxygen-18  for

      natural waters.   Large arrow shows the direction of compositional

      change  found  in  geothermal waters where heavy oxygen  found  in

      rock-forming  minerals will exchange with the lighter  oxygen in

      normal  ground water  (data from Ferronsky and Polyakov, 1982).
                                     132

-------
                                        Santa  Cotalina Mountains
                                                             N
                                     Alluvial   basin
                                              LEGEND
                                              	          8130%o
                                           Summer runoff from
                                           large bosin to south.   -S to -7

                                           Ground water recharged
                                           from Santa Cruz River.  -8

                                           Ground water recharged
                                           from summer runoff
                                           from small arid basins
                                           in low mountains.        -7

                                           Winter runoff from
                                           high mountains.      -10 to-12

                                            Ground water recharged
                                            from winter runoff
                                            mixed with  some
                                            summer recharge.      -10
Figure 4.15.   Differences in the stable  isotope  of  oxygen (o  in
ground water  of  the  Tucson basin in Arizona  reflect different sour
of water.  Because all values are negative,  the  larger number repre-
sents isotopically lighter water.  Although  the  chemical character-
istics of the ground x\Tater are quite similar throughout most of the
basin, distinctive isotopic differences  help to  determine the origin
of recharge for  the  basin.  Data are from  several  unpublished M.S.
theses at the University of Arizona.  Diagram is not to scale.
                               133

-------
     Most nitrogen in ground water will  be  in  the  form  of  the  nitrate anion



(NO" ) or dissolved nitrogen gas  (N  )  from  the  atmosphere.   Locally  in zones



devoid of dissolved oxygen, the chemically  reduced form (NHj1")  may  predomi-



nate.  In general, nitrate will move as  a conservative  tracer  and is an



important indicator of pollution.  If  nitrate  concentrations exceed  about



10 mg/1, the health of infant mammals  including humans  may  be  adversely



affected.  Also, the presence of  more  than  about 5 mg/1 of  nitrate  commonly



is an indirect indication of other forms of  contamination  including  those



from chemical fertilizers and sewage.



     Sulfur:  Most dissolved sulfur  within  shallow ground water is  bound



within the sulfate ion (SCT^).  The  stable  sulfur  isotopes  (32S,  34S, and



35S) found in the sulfate  ion will vary  quite  widely and, under certain cir-



cumstances, can be useful  indicators of  the origin of the  sulfate.   This is



particularly true if, for example, one wishes  to distinguish sulfate orig-



inating from natural dissolution  of  gypsum  (CaSO '2H 0) from sulfate orig-



inating from an industrial spill  of  sulfuric acid  (f^SO^).



     Carbon:  Two stable isotopes of carbon (12C and 13C)  and  one unstable



isotope ( 11+C) are used in hydrogeologic  studies.  Most  of  the  carbon dis-



solved in normal potable ground water  is within the bicarbonate ion (HCO~ ) .



Contaminated water may also have  large amounts of  organic  materials  which



contain carbon.  Other forms of carbon dissolved in natural water are car-



bonate (C0= ) and carbonic acid (H CO  ) , the concentrations of which are
           O                       £.   0
pH-dependent, and the gases  carbon dioxide  (C02)  and methane



     Most isotopic studies of  carbon  in water have been centered on 1UC


which will be discussed  in a later portion  of this chapter.   Although not



as commonly  studied as  lifC,  the  ratio of the stable isotopes,  13C/12C, are
                                      134

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potentially useful in sorting out the origins of certain contaminants found




in water.  For example, methane (CH.) originating from some deep geologic




deposits is isotopically heavier than methane originating from near  surface




sources (Figure 4.16).  This contrast forms the basis for identifying aqui-




fers contaminated with methane from pipelines and from subsurface  storage




t ank s.




     Isotopes of Other Elements:  The potential exists for  the use of stable




isotopes of a number of other elements  as  natural tracers of water.  Some  of




these are chlorine (37C1 and 35C1), strontium (85Sr  and  87Sr), boron (i°B




and ^3), and the isotopes of the noble gases.  In  general, studies  of  these




isotopes are related more to the determination  of regional  directions of




ground-water flow than to problems  of the  identification of sources  of  con-




tamination.




     • Field Methods




     Collection of field samples must take into consideration  problems  of




obtaining a representative sample as discussed  in Chapter 3.   Also,  the




sample must be preserved so that isotopic  fractionation  does not  take  place




prior to analysis.  For oxygen-deuterium samples, small  glass  bottles with




vapor-proof caps which hold about 20 to 50 nil are sufficient for  most




purposes.  For boron, nitrogen, carbon,  and  sulfur,  a  larger sample  should




be taken.  The size of the sample will  depend on  the water  chemistry and  the




analytical methods used.  Generally, sample  sizes are  from  1 to  10 liters




for normal potable water.  Samples  should  be  stored in  the  dark  and  a  growth




inhibitor should be added to water  samples taken  for boron, nitrogen,  car-




bon, and sulfur analyses, because biological  activity within the  sample  can




cause significant isotopic fractionation.   Analyses of  stable  chlorine  will




generally require samples of 1 to 2  liters of potable water and  much less







                                      135

-------
LJ
_J
CL
   15 r
   IO -
u_
o
UMBER
Ol
z
n

— i~-
i
i
!""' Bedrock """j
, r" , i n

i
J-]
Lr
Glacial
i drift ill]
      -40
-50
-60
-70
-80
-90 %o
                          £C13  FROM  CH4
      Figure 4.16.  Histogram showing composition of carbon
      isotopes from methane from bedrock and from glacial
      drift.  The contrast in isotopic composition allows
      the identification of methane from storage and from
      pipelines which may leak out and contaminate ground
      water.  Natural methane generated in shallow aquifers
      is much different isotopically than bedrock methane
      that  is distributed commercially.  (Redrawn from Cole-
      man et al., 1977).
                            136

-------
for saline water.  Changes in the isotopic ratios of chlorine will not take




place under normal conditions of storage.




     Analyses:  Analyses of stable isotopes are made with expensive mass




spectrometers which require highly-trained technicians to run.  Further




details are given in Appendix E.







                               Radionuclides






     Introduction:  This section includes  a description  of  some of the




hydrogeologic applications of radioactive  isotopes  of  various elements,




which are called collectively radionuclides.




     In the early 1950's, great enthusiasm was  evident for  the use of  radio-




nuclides both as natural, "environmental"  tracers  and  as injected artificial




tracers.  The environmental use has  been expanded  greatly until it is  a




major component  of many hydrochemical  studies of  today.   In contrast,  the




use of artificially injected radionuclides has  all  but ceased today  in many




countries  including the United  States.   Most  use  of artificially  introduced




radioactive tracers in these countries is  confined  to  carefully controlled




laboratory experiments or to deep  petroleum production zones which are de-




void of potable  water.




     A brief  explanation of  some aspects of radioactivity is necessary be-




fore discussing  isotopes of  specific elements.   For any  radioactive  element,




the radiation given off is  in  short, almost  instantaneous,  pulses which  are




randomly  distributed  in time.   If  enough individual nuclei  are  considered,




however,  the  process  of radioactive  decay  can be expressed  as
                                      137

-------
in which x is the number of nuclei present, t is  time,  and  X  is  the  decay




constant which is unique to each radionuclide.  If  xo  is  the  number  of




nuclei at zero time and xt is the number of nuclei  at  time  t,  then
                                xt
                                                                         (12)
The half-life of a particular radionuclide  is  the  time which  is  taken for




one-half the original number of nuclei  to decay, or
                               h/2
The foregoing equations apply to  all  types of  radioactive  reactions  even




though some reactions produce alpha particles  (^He  ions),  others  produce




beta particles  (electrons, both negatrons  and  positrons),  and  still  others




produce gamma rays (an electromagnetic radiation similar  to X-rays).   A




number of other types of radiation may also  be produced but they  will not





be discussed in this brief summary.




     Injected Tracers:  For a number  of  reasons,  the  detection and  counting




of y-radiation  is much easier than either  B  or a radiation.  Radionuclides




which have a strong gamma emission are,  therefore,  commonly chosen  for




tracers.  A number of these radionuclides  as well as  others are listed in




Table 4.11.  In addition, tracers are selected which  can  be injected into




ground water in a form which is highly mobile  in the  water phase.  This




usually is either in a neutral or anionic  form.




     Most radioactive tracers are superior to  other tracers because  they can




be detected easily by field equipment in very  small concentrations  which are




far below levels that would alter the flow characteristics of  the ground




water.  Also, tracers can be selected which  have half-lives so short that




they are essentially decayed after a  few hours to a few days.   Despite the





                                      138

-------
           TABLE 4.11

   Commonly Used Radioactive
Tracers for Ground-Water Studies
Half-Life
y=year ,
d=day ,
Radionuclide Radiation h=hour)
2H f 12. 3y
32P 6~ 14.3d
51Cr -y 27. 8d
60Co jT,Y 5.25y
82Br g~,Y 35. 4h
85Kr g~,Y 10. 7y
i31l iT,-f 8. Id
i98Au g-,y 2.7d

Chemical Compound
H 0
Na2HPO,.
EDTA-Cr and CrCl,
EDTA-Co and K^Co (CN J
J b
NH^Br, NaBr, LiBr
Kr (gas)
I and KI
AuCl0
               139

-------
demonstrated safety of many of the techniques and  tracers,  the  complexity  of

local and federal regulations makes their  field use  impractical in  many

countries, including the United States.

     Radioactive tracers, besides being used for tracers which  move from one

well to another, have been used for studies of the local hydraulics near and

within a well.  Radioactive gold (198Au),  when mixed with water in  a well,

will plate out  on the downstream side of  the well  as the water  moves through

the well.  A directional counter will detect this  concentrated  radioactivity

and thus  indicate the direction of water  movement  in the vicinity of the

well (Figure 4.17).  Also, the rate of removal of  the radioactivity from the

well water will be  a function of  the  volume of water moving through the  well

per unit  time.  Although giving only  conditions  near the well,  this dilution

technique is useful in obtaining estimates of  hydraulic conductivity accord-

ing to the following equations:
                               Co
in which

          Ct = concentration of  tracer  in the  well of  time  t;

          Co = original concentration of  tracer  in the well at

               time = 0; and

          B  = a factor which  is  constant for  simple,  steady-state

               conditions.

     If B is constant, then
                                    Q
                                    v
                                      140

-------
                       DIRECTION  OF FLOW
      60
                                          60
                              860   900   940
                                concentrotion in
                                    cpm
       60
Figure 4.17.  The local direction of ground-water movement
as determined by the movement of a radioactive tracer within
a borehole.  The hole was not pumped during the test.  The
ground water is flowing under natural conditions and enters
the well from the west and leaves the well towards the east.
After release of the radioactive tracer, the gamma radiation
is measured in different directions by rotating a shielded
counter within the well.  Although the surveys may be highly
useful, it must be remembered that flow directions within
the well are influenced by well-construction methods and by
local heterogeneities in the aquifer.  The measured direc-
tions, therefore, may not give a reliable indication of
regional directions of ground-water flow.  Diagram is re-
drawn from Rodriguez (1977) .
                           141

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in which




          Q  = the volume of water per unit of time flowing through




               the well and V is the volume of water in the well.




     For fully penetrating wells in isotropic and homogeneous aquifers,






                               Q = 2dmne:v                                 (15)







          d  = the effective diameter of the well;




          m  = the saturated thickness of  the aquifer;




          ne = the effective porosity of the aquifer; and




          v  = the average velocity of the ground water outside




               of the well (in  the aquifer).







     If the hydraulic gradient,  i, of the  ground water  is  known,  then the




hydraulic conductivity, K, is given by
                                                                          (16)
     If the experiment has a  duration which  is  5%  or  more  of  the length of




the half-life of the radioactive  tracer,  then Equation (12)  should be used to




correct for radioactive decay during  the  experiment.   Thus in Equation (14),




Ct is the calculated concentration  at time  t assuming no radioactive decay




has taken place.  It is not  the  actual observed concentration of radio-




activity.




     In summary, the progressive  dilution of a tracer in a well can be used




to obtain the hydraulic conductivity  of an aquifer near the well provided




dimensions  of the well are known and  estimates can be made of the effective




porosity of  the  aquifer and  the  hydraulic gradient near the well.
                                      142

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     Atmospherically Distributed Radionuclides:  A number of radionuclides




are present in the atmosphere  from natural and artificial sources.  Many of




these radionuclides will be carried  into  the  subsurface by rain water.  The




radionuclides of greatest  interest are  listed in Table 4.12.  The most  common




hydrogeologic use of these radionuclides  is  to obtain some estimate of  the




average length of time ground  water  has been  isolated from the atmosphere.




Because of dispersion in the aquifer and  mixing in wells  that sample  several




hydrologic zones, a unique age of the ground  water does not exist.  Neverthe-




less, it can be commonly established that most or virtually all of  the  ground




water is older than some given limiting value.  In many situations  we can




say, based on atmospheric  radionuclides,  that the ground  water was  recharged




more than 1,000 years ago  or that, in another region, all the ground  water  in




a given shallow aquifer is younger than 30 years.




     Tritium, the radioactive  isotope of  hydrogen  (3H) with a 12.4-year half-




life, was produced at low  levels by  natural  processes prior to  the  detonation




of  thermonuclear devices in the early 1950's.  Since that time, atmospheric




tritium has been dominated by  tritium from man-made  sources.  Most  commonly,




tritium concentrations are measured  in tritium units (TU) which  is  the number




of  tritium nuclei per 1018 stable hydrogen nuclei.   Prior to  the  1950's,




natural levels in rain ranged  from 5 to 15 TU,  the  exact  number depending  on




several local and regional factors.   Owing  to the  decay of  the  tritium, water




recharged during the early 1950's will only  have  0.8 to 2.5 TU  today  if the




water has been isolated from the atmosphere  since  that  time.  Thermonuclear




explosions increased local rainfall  to more  than  1,000 TU in  the  Northern




Hemisphere by the early 1960's (Figure 4.18).  Tritium analyses of  ground




water are used widely to determine  the "age"  of young  ground  water.  In




general, ground water in the Northern Hemisphere  which  has more  than  about 5






                                      143

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                                                TABLE 4.12

                                     Environmental Radionuclides
Radtonuclide       Half-life       Useful  "age" range                           Comments
                    (years)             (years)
    3H                12.4               5-50               Analyses  are  done  routinely  at  several  laboratories'
                                                            Useful  for  Identifying  young ground water  In  the
                                                            aubaurface•

    1>4C               5730            500-30,000            Analyses  are  done  routinely  In  several  laboratories.
                                                            Sample  collection  and  interpretation  of  results re-
                                                            quire experienced  Isotope  hydrologist.

    JZSi               103              50-100              Analyses  difficult and  done  by  only a few  labora-
                                                            tories  in the world.   Interpretation  of  results Is
                                                            difficult.

    36C1             3 x 10s        5 x lQk-2 x 106         Analyses  done in only  two  or three laboratories In the
                                                            world.  Potentially an  excellent radlonuclide with
                                                            which to  study  very old water.  Also, sharp anthropo-
                                                            genic source  In I960'a  has produced a useful  recent
                                                            hydrologlc  tracer  for  ground water of recent  origin.

    39Ar               269             100-1,000            Sample  collection  and  analyses  are extremely  diffi-
                                                            cult.   Has  been utilized  in  Europe but  new techniques
                                                            are  needed  before  the  method can be applied widely.

    8SKr              10.7               3-30               Almost  all  85Kr Is from anthropogenic sources.  Sample
                                                            collection  and  analyses are  very difficult  and have
                                                            been done successfully  In  only  a few  studies.  Poten-
                                                            tially  more useful than 3H because Increases  in con-
                                                            centrations with time  have been less  erratic  than
                                                            Increases of  ^H.

-------
   4000 r

   350O

   3OOO
~ 2500
   2000

    1500
    IOOO
     50O -
               ' -*	1	L
                                _J	L
         56  58  60  62  64 66  68  70 72  74  76  78  80 82
                               YEAR
         Figure 4.18.  Average annual tritium concentration  of  rain-
         fall and snow for  the states of Arizona, Colorado,  New
         Mexico, and Utah.  During any single year,  however,  tritium
         concentrations may vary by more than 300% with  the  maximum
         concentrations in  rainfall during the summer.   In northcen-
         tral United States and central Canada, concentrations  have
         been higher than those shown for the western states.   Con-
         centrations in precipitation along coastlines,  in the  trop-
         ics, and in the Southern Hemisphere are generally much lower
         than those shown here.  (Diagram redrawn from Vuataz et al.,
         1984).
                                145

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 TU  is  less  than 30 years.   Very small amounts,  0.05 to 0.5 TU, can be




 produced  by natural subsurface processes,  so the presence of these low levels




 does not  necessarily indicate water 40 to  60 years old or small amounts of




 more recent water  mixed  with very old water.




     The  radioactive isotope of carbon,  11+C, is also widely studied in ground




 water.  Most 11+C in potable ground water is contained in the HCO ~ ion in the




 water.  Other  carbon-bearing material dissolved in water such as CO , C0,=,
CH  , H.CO  ,  and  organic  acids  may  also contain variable amounts of  4C.  As




a first  approximation, the  initial number of ^C nuclei per total carbon




nuclei,  or Xo  in Equation (2), in  a water sample is considered to have been




constant prior to 1950 due  to  the  almost constant natural production of ^C




in  the atmosphere by  cosmic radiation interacting with the atmosphere.  If




the only source  of  14C in the  water is originally from the active biosphere,




then the  ^**C which  is measured in  carbon from the water sample can be con-




sidered  to be  Xt  in Equation (2).   Because X is known from experimental work,




the "age" of the  sample,  or t,  in  Equation (2)  can be determined directly.




     In practice, however,  the use of 14C is rarely as simple as just




described.  Sources of old  carbon,  primarily from limestone and dolomite,




will dilute the  sample.   A  number  of  processes, such as the formation of CH




gas or the precipitation  of  carbonate minerals, will fractionate the isotopes




and alter the  apparent age.  The complexity of  the interpretation of 11+C




"ages" of water  is so great  that it should be attempted only by hydrochemists




specializing in  isotope hydrology.




     Despite the  complicated nature of  14C studies,  they are highly useful in




determining the  approximate  residence time of old water (500 to 30,000 years)




in aquifers.   For certain practical problems, this information is essential




and cannot be  obtained in any  other way.






                                      146

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     Other radionuclides listed  in Table 4.12 are not used routinely  in




hydrogeologic work owing either  to problems  of  sampling or to problems of




analyses.  Of those  listed,  36C1 will  probably  be used routinely  in another




decade after the present analytical  bottleneck  is solved.  The major  advan-




tages of  36C1 are the  ease  of  sampling,  the  stability  of  the  sample in  stor-




age, and  the fact that 36C1 can  give information concerning extremely old
water.




      • Field Methods
      Injected  radioactive  tracers are handled with great care to avoid radia-




tion  exposure  and  to  avoid sample contamination.  Otherwise,  they are gen-




erally  treated as  normal chemical tracers.  Special down-hole devices to mea-




sure  in-place  tracer  dilution for the application of Equations (14), (15),




and  (16)  are fabricated by the Institut fur Radiohydrometrie, Gesellschaft




fur  Strahlenund Umweltforschung MBH, Neuherberg, Ingolstadter Landstrasse 1,




D-8042  Oberschleissheim, West Germany.




      Field collection of samples for the  determination  of environmental




levels  of tritium must be done with great care  to avoid contamination from




the  atmosphere from local sources of tritium  such as watch dials, and from




high levels of tritium commonly present in  laboratories.  From  two  to four




liters  of water are needed if anticipated tritium levels  are  below  15 TU.




Sample  containers should be metal or high-quality glass.  Some  plastic  con-




 tainers are permeable  to gases,  so  plastic  containers  are to  be  avoided




unless the properties  of  the  plastic are  known.




      Field collection  of  samples  for  14C  is highly  specialized  and  should be




 done by individuals experienced  with  this type  of  sampling.   For routine  14C




 samples,  large volumes of water  (from  10  to 1,000  liters) are required  and
                                       147

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the carbon is extracted either by  large batch  or  by  flow-through  systems




The use of the tandem accelerator  mass spectrometric (TAMS) method  for




analysis has greatly reduced the amount of carbon required  so  that  one  liter




of water or less can be used.  Access to  the TAMS system, however,  is not




routine.




     Samples for 36C1 analyses are relatively  simple to  obtain.   About  30  mg




of chlorine should be available for  the analysis.  Most  potable water con-




tains between 10 and 100 mg/1 of chloride, so  a  sample of a few liters  of




water generally is enough.  Silver nitrate, AgNO.., is mixed with  the water




sample, and AgCl is formed.  The AgCl precipitate is placed in an amber bot-




tle and stored out of sunlight and excessive heat until  analyses  can be com-




pleted.




     • Analysis^




     The analysis of radioactive materials is  a  highly specialized  branch  of




chemistry and is not easy to accomplish except where the field determination




of gamma radiation can be related  directly to  the concentration of  injected




tracers.  Scintillation counting using special liquid  scintillation fluids is




normally required for beta emitters.




     Environmental radionuclides such as  tritium, lLkC, and  36C1 require very




special equipment for their determination.  Low-level tritium  is  concentrated




by electrolysis and counted by liquid scintillation.  A  number of methods  are




used to determine  il+C.  All processes are complicated.   Many end  with  the




carbon in a gaseous form which is  placed  into  counters designed to  receive




gas.  The TAMS method can be used  for both  llfC and 36C1  analyses.  The  accel-




erator used is a multi-million dollar instrument and only a few of  these are




presently in operation.
                                      148

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                                 APPENDIX A




                      ADDITIONAL USES  OF WATER  TRACERS







     The purpose of  this manual  is  to  describe  ground-water  tracing




techniques.  However, tracers  are widely used  in other  areas  of  hydrologic




study, such as surface water,  the unsaturated  (vadose)  zone,  and the  atmos-




phere.  Numerous engineering applications  also  involve  tracer use,  including




petroleum exploration, leak detection,  flow  of  sewage,  and biological and




medical research.  A brief description of  these uses is given with  reference




articles.







                                 Ground Water







     Tracers have been used to determine  the flow path, velocity, and resi-




dence time of solutes, and aquifer  characteristics such as hydraulic  con-




ductivity, dispersivity, and effective porosity.  Ground-water velocity and




aquifer characterization studies have  been described in the  text.




     Examples of flow path measurements are  most numerous in karst  studies.




The Water Tracer's Cookbook (Aley and  Fletcher, 1976),  published by the




Missouri Speleological Survey, is an excellent introduction  to karst  mapping




and characterization through use of a  wide  variety of tracers.  Another




application of karst flow  tracing is described by Caspar and Oncescu  (1972),




and deals with water exchange  between  karst  mines, depressed regions, and




ground water.  Karst tracing has also  been used to delineate catchment




boundaries (Smart, 1975).  Flow  path studies in non-karst regions include




evaluation of the movement of  sewage in ground water (Sinton, 1980),  and the




determination of the potential for  chemical  or bacterial pollution of a New
                                     149

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Zealand aquifer  (Thorpe, 1979).   Vecchioli  et  al.  (1972)  studied the  travel




of indicator bacteria through  the Magothy aquifer  in  New  York.




     Residence time studies  include  the  determination of  ground-water




recharge using environmental isotopes  (Vogel et  al.,  1974;  Fontes and  Fritz,




1975).  Ground-water dating, involving  the  use  of  cosmic-ray  and bomb-




induced radioisotopes, is a  growing  field of study (Davis and Bentley,




1982).  Environmental isotopes have  recently been  used to demonstrate  the




effect of ground water on storm runoff  hydrographs (Sklash and  Farvolden,




1979).







                               Surface  Water







     Tracers have been widely  used  in  surface-water studies to  determine




flow patterns (dispersion),  flow  volume, and time-of-travel (velocity).




Kilpatrick et al. (1967) described  flow measurements  with fluorescent




tracers.  A more recent, general  work  on the subject  is "Measurement  of Time




of Travel and Dispersion in  Streams  by  Dye  Tracing" (Hubbard  et al.,  1982),




a handbook published by the  U.S.  Geological Survey.




     Determination of flow patterns  yields  information concerning movement




of contaminants  (such as factory  effluents, radioactive waste,  and sewage)




in streams (Caspar and Oncescu, 1972).   Study  of dispersion under turbulent




flow results in determination of  eddy-diffusion  coefficients.   White  (1981)




discussed estuary mixing through  the use of environmental radionuclides.




     Caspar and Oncescu (1972) reviewed  the use  of tracers in measuring flow




rates in natural streams, closed  conduits,  and reservoirs.   Dilution  studies




are used to find the time required  for  inflowing contaminants to be reduced




to acceptable levels.
                                     150

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     Storm runoff studies employ  tracers  to  obtain  travel  time measurements




in order to help establish  flood  hydrographs.   Smith  (1973) noted  the use  of




environmental tritium  in river  recharge  investigations.




     Sediment transport is  another  aspect of surface-water  systems  which has




been studied with tracers.  Elrick  and Lawson (1969)  looked at sediment




movement in rivers,  irrigation  canals, estuaries,  harbors,  and the  open




ocean.  River bank  and bed  erosion  have  also been  investigated (Caspar and




Oncescu, 1972).  White (1981) discussed  the  dating of sediments  and surface




water with environmental radionuclides.







                                     Soil







     In the unsaturated zone, soils have been investigated extensively




through the use  of  various  tracers.  Infiltration,  drainage,  and evapo-




transpiration are fields of interest.  Recent research includes:  the  use  of




bromide as a tracer in the  root zone of  soils (Tennyson and Settergren,




1980); the use of radioactive tracers to determine the impact of deforesta-




tion on the soil profile (Ryckborst, 1981);  and a general study  of water




distribution and movement  in  the  unsaturated soil profile (Ligon,  1980).







                                  Atmosphere







     Environmental  and injected tracers  are  utilized in estimating the




travel of pollutants,  studying  precipitation and evaporation, and tracking




air motion on  a  global scale  through the use of nuclear debris (Elrick and




Lawson, 1969).
                                     151

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                             Petroleum Industry







     The oil and gas industry has developed tracers for a number  of  oilfield




applications.  Wagner (1977) described the use of chemical  and radioactive




tracers for waterfloods and gas drives in the tertiary oil  recovery  process.




Some of the information to be obtained from diagnosis of interwell hetero-




geneities includes:  identification of problem injection wells; directional




flow trends and fluid velocity; and delineation of flow barriers.  Preferred




water and gas tracers are listed by Wagner (1977).  Greenkorn  (1962)  also




compared waterflood tracers.







                    Additional Engineering Applications






     Leak detection in water and sewer pipes, embankments,  and dams  is




another branch of  tracer use (Caspar  and Oncescu, 1972).  Zuber et al.




(1979) discussed tracing of water leakage  into salt mines,  and Alburger




(1977) described leak testing with dyes as a  non-destructive  technique  for




soils, sewers, electronics components, boilers, tanks, pipelines, etc.




Koerner et al. (1979) reported non-destructive tracer testing  methods for




detecting dam seepage.




     Sea-water intrusion around the foundation of a nuclear power plant  was




modeled by Myer (1981), using I131 as a tracer.   Sewage  system tracing  has




been performed by  Renard (1982), and  Aulenbach and Clesceri (1980) used




tracers in monitoring the land application of waste water.   Finally,  sani-




tary landfill leachate has been traced by Ellis  (1980) and  Murray et al.




(1981), using potassium (from the leachate) and  injected lithium  bromide,




respectively.
                                     152

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                                Potential Uses







     Radioactive, hazardous waste,  and sanitary landfill disposal site




evaluations are  likely  to employ  tracer test results.   In addition,  soluble




tracers can be mixed  in dry  form  with wastes which are buried so that any




water percolating later through the waste will carry the tracer which in




turn could provide  an early  warning for the arrival of the bulk of the




slower moving and hazardous  leachate from the waste.
                                     153

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                                 APPENDIX  B




                  A DISCUSSION OF DISPERSION  AND DIFFUSION







     One of the purposes of many tracer  tests is to  obtain  a  value  of  the




aquifer parameter, dispersivity (a).  The  intent of  this  Appendix  is  to  dis-




cuss briefly the theoretical background  of the  parameter, and to present




some current attitudes concerning dispersion.




     The transport of a tracer or contaminant in a porous medium is analyzed




by some form of the convection-dispersion  equation,  introduced by  Ogata  and




Banks (1961), and discussed by Bear  (1961a, 1969).   Convection is  the  bulk




movement of water at the mean velocity of  the flow system,  u  (where u  equals




specific discharge divided by porosity,  as defined in  Chapter 2).   Convec-




tion may be caused by differences in density  of the  water  (natural convec-




tion), regional movement in the aquifer  (advection), and  the  pumping  of




wells (forced convection) (Sauty, 1980).




     Dispersion is the mechanism which causes a solute  to mix and  spread to




positions which would not be expected by convection  alone.  Dispersion in




ground water is a combination of mechanical dispersion  (mixing) and molecu-




lar diffusion, and it causes a dilution  of the  solute.  Mechanical disper-




sion is due to variations in fluid velocity and to the  tortuous flow  paths




in the voids of the porous medium at  the microscopic scale  (Sudicky and




Cherry, 1979).  On a larger scale, mixing  is  due to  the presence of zones  of




different permeabilities.




     Molecular diffusion is caused by the  kinetics of  the molecules which




give  rise to phenomena such as Brownian motion.  Molecular diffusion  is




often considered insignificant in magnitude in  comparison with mechanical




dispersion for rapidly flowing ground water.   In most  tracer  tests in  porous







                                     154

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media, diffusion is neglected because  the rate  of  ground-water flow  is too


high for pore-to-pore equalization  of  concentration  (Perkins and Johnson,


1963).  A reasonable value for  the  diffusion  coefficient for non-adsorbed


species in porous media is 1 x  10" 1° m2/s (Freeze  and Cherry, 1979), while


the dispersion coefficient is generally  orders  of  magnitude  larger.



              Derivation of  the  Convection-Dispersion Equation



     The convection-dispersion  equation  used  in contaminant  transport model-


ing is based on Fick's first and second  laws.   Formulated by analogy to  heat


conduction, the first law states that  the flux  of  a  diffusion or dispersing


substance in a given direction  is directly  proportional  to  the concentration


gradient in that direction.  The negative sign  indicates that flux  is posi-


tive in the direction of decreasing concentration.   In the  following text,


dimensions are given in brackets.
                              F   -  -  D     -
                               x  ~    x 3x'
                       M
where FX = mass flux  [——]  in  the  x direction;
       D = coefficient of proportionality  [•=— ];  and
       c = concentration  [—1.
                          L3
     Fick's second  law  is  derived  from the  law of  conservation of  mass,  as


applied to the first  law.   It  states  that:
                               9c
                              It
                                     155

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            ~ 2   ^    2   "

where V2 = -?— i + -?—  j +
            8x2      9y2      3z2
                               k
This assumes that D Is constant, while  it  is  actually  a function of  tempera-



ture, concentration, and other  factors.



     The convection-dispersion  equation for a non-reactive  solute is stated,



in one-dimensional form, as:
                          — =  -u — +  D
                           3t       9x
where
                                    L2
     D = coefficient of dispersion  [=— ] ;



     u = average linear flow velocity.





This assumes that flow is  parallel  to the  x direction,  with steady-state


velocity, u.  It also assumes  that  the  fluid is  incompressible.



     The coefficient of dispersion, D,  may  be  thought  of  as a correction



factor which describes the variation of  solute distribution about  the mean.



The coefficient, D, is a combination of  the effects  of  hydrodynamic  disper-



sion and molecular diffusion.





                                D = oLu =  %




Here, otL = longitudinal dispersivity (in the x direction)  [L] ; and


                                             L2
      D^j = molecular diffusion coefficient  [— ] .





     The term "dispersivity" was introduced by Scheidegger  (1954).   This



parameter has components in three orthogonal directions.  The longitudinal



dispersivity is in the direction of flux.   Horizontal  transverse  dispersivity
                                     156

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may be called "lateral dispersivity",  and vertical  transverse dispersivity


may be referred to as "vertical  dispersivity."   In  laboratory experiments,


the transverse dispersivities  are  generally  5 to 20 times  smaller  in magni-


tude than the longitudinal dispersivity  (Freeze  and Cherry,  1979).



               Solution of the Convection-Dispersion Equation



     The one-dimensional solution  of  the convection-dispersion  equation  for


a step-function input of tracer  into  a semi-infinite aquifer with  natural


flow velocity (Ogata and Banks,  1961)  is:
     c/c0(x,t) -1  [erfc  (x "J^ +  exp  (ux/D)  erfc  (2L±« £)]              (21)
                 2        2 -y Dt                     2 "Y Dt
where



     c/c0 = normalized concentration  (relative  to source):


        x = distance  from  the  measuring  point to the source;


        u = average linear  velocity;


        t = time;


        D = dispersion coefficient; and


     erfc = the  complimentary  error function.



     The boundary  conditions  are:



     c(x<0, t) = 0, for  all t


     c(0, t) = C0,  for all  t  > 0


     c(», t) = 0,  for all  t



     The solution  above  can be approximated,  after a short  period of time,


by:



                                     157

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                          c/c0 = - erfc  [X  -^5]                          (22)
                             0   2       2-yDt
     This equation can be solved for various boundary conditions, flow


regimes, and types of injection (e.g., uniform flow, radial flow, continuous


injection, slug injection).  Fried (1975) provided a number of  solutions,  and


Sauty (1977) developed type curves for uniform or radial flow to characterize


response to continuous or instantaneous pulse input at a point.  Lenda and


Zuber (1970) developed analytical solutions in normalized form  for different


measurement geometries.  They presented type curves for point injection  and


line injection in an infinite aquifer.  Sudicky and Cherry (1979) developed


type curves for a finite—width pulse injection.


     Hoopes and Hareleman (1967a) presented a general equation  describing


the nonsteady-state concentration of a tracer during plane radial flow.


Analytical solutions to this equation for a constant input concentration have


been given in that paper and by Gelhar and Collins (1971).  These solutions


can be used for single-well injection/withdrawal tests.


     For a two-well tracer test, Webster et al. (1970) and Grove and  Beetem


(1971) provided solutions.  The tracer addition can be continuous or  a pulse,


and recirculation can be accounted for.



                           Measuring Dispersivity



     The error function is related to the normal distribution *  ($), as:
                           *  (z) - i  [1 + erfc  (-^r)]                      (23)
  This holds for tables of the normal distribution with negative  infinity
  as the lower limit.
                                     158

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Then,
                          c/c0 =  1 -  
-------
                                   TABLE B.I

                         Values  of Dispersivities
                      Measured  by Various  Methods
            Type of
            Aquifer
            Alluvial
        Single-Well Injection Withdrawal  Test


               Location
                     oL
                  (meters)
                          Lyons, France
                                              0.1-0.5
Reference
                                               Fried,  1975
           Multiple-Well Tracer Test (including  two-veil tracer  tests)

                                 Distance  Between
                                   Injection  and
Type of
Aquifer
Chalk
Alluvial
Alluvial
Fractured
dolomite
Fractured
carbonate
Fractured
crystalline
Location
Dorset, England
Lyons, France
Eastern France
Carlsbad, NM
So. Nevada
Savannah River
Plant, S.C.
Observation Hells
(meters)
8
6 & 12
6 & 12
55
121
538
cL
(meters)
3.1
4.3
11.0
38.0
15.0
134.0
Reference
Ivanovich and
Smith, 1978
Fried, 1975
Fried, 1975
Grove and
Beeten, 1971
Classen and
Cordes, 1975
Webster et al. ,
1970
 Type of
 Aquifer
                 Single-Well  Tracer Test with Surface Geophysics
Location
Distance  Traveled      aL         aT
by Tracer (meters)   (meters)    (meters)
                                                         Reference
Alluvial   Lyons, France
                                 - 80 m
                                                  5-12    0.009-14.5    Fried, 1975
                                       160

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                              TABLE B.I  (continued)
             Dlspersivities Measured  on a  Regional  Scale  by Model Calibration
 Type of
 Aquifer

Alluvial

Limestone


Alluvial


Alluvial
Glacial
 deposit

Basalt
     Location

Lyons,  France

Brunswick,  GA
Rocky Mtn.
Arsenal, CO

Arkansas River
Valley, CO
Long Island, NY
              Snake River
   Approximate
Distance Traveled        al«
by Solute (meters)     (meters)

     1,000                12

     1,500                61


     4,000                30


     5,000                30
     1,000                21.3


     4,000                91
                                                                   Reference
 4        Fried,  1975

18       Bredehoeft  &
         Finder,  1973

30       Konikow,  1977
 9       Konikow  4
         Bredehoeft,
         1974

 4.3     Finder,  1973
                                                        137
                                                                 Robertson,
                                                                   1974
                                            161

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     Pickens et al. (1976) suggested that large dispersivities obtained from




analysis of two-well tracer tests are a result of mixing of water from dif-




ferent levels, which occurs at the well bore.




     Most researchers feel that the primary  cause of the scale effect is  the




heterogeneity of an aquifer (Warren and Skiba, 1964; Matheson and de Marsily,




1980; and Gelhar et al.,  1979).  Recent research  indicates  that, for certain




hydraulic conductivity distributions, the longitudinal  dispersivity approaches




a constant at large time  or large mean  travel  distance.  Gelhar  et al.  (1979)




suggested an  improved form of  the convective-dispersive  transport equation




which  incorporates  the statistical properties  of  the hydraulic  conductivity




distribution.  However,  the traditional convection-dispersion equation  and its




solutions continue  to be  used  to  obtain values of dispersivity  until  a  better





alternative  is  found.
                                      162

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                                 APPENDIX C

                  FACTORS TO CONSIDER  IN TRACER  SELECTION
Determination of:
                              PURPOSE  OF  STUDY
flow path
velocity (solute)
velocity (water)
porosity
dispersion coefficient
distribution coefficient
Delineation of contaminant plume

Recharge



Dating
                                                 Tracer Type  to be Used
Nonconservative
Conservative
Conservative
Conservative
Nonconservative

Constituent of plume

Environmental isotope
   or anthropogenic
   compound

Radionuclides
                               AVAILABLE  FUNDS

Manpower and equipment  to  run  tests  to completion (e.g.,  drilling,  tracer
   cost, sampling,  analysis).
                                TYPE  OF MEDIUM
Karst
Porous media  (alluvium,  sandstone,
    soil)
Fractured  rock
                                     Tracer  Type

                                 Fluorescent dyes,  spores,
                                    tritium,  as well  as
                                    other  tracers

                                 Wide range  of  choices.
                                    Dyes and particulate
                                    material are  rarely
                                    useful.

                                 Wide range  of  choices.
                                    Dyes and particulate
                                    material only
                                    occasionally  useful.
                                     163

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                            STABILITY OF TRACER

Distance from injection to sampling                Must be stable  for  length
   point                                              of test and  analysis

Approximate velocity of water and
   approximate estimate of time re-
   quired for test, given:  distance
   from injection to sampling point,
   porosity, thickness of aquifer
                          DETECTAB1LITY OF TRACER

Background level

Dilution expected in test (function of type
   of injection, distance, dispersion, porosity,
   and hydraulic conductivity)

Detection limit of tracer (ppm,  ppb,
   PPt)

Interference due to other tracers  and
   natural water chemistry


                    DIFFICULTY OF  SAMPLING AND  ANALYSIS

Factors to Consider                         Example  of Difficult  Tracer

Availability of tracer                    Radioactive  (must  have  special
                                              permits)

Ease of sampling                          Gases (will  escape easily  from
                                              poorly  sealed container)

Availability of technology for            Cl-36 (only  one or two  labora-
   and ease of analysis                       tories  in the world  can do
                                              analyses)
                                     164

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             PHYSICAL/CHEMICAL/BIOLOGICAL PROPERTIES OF TRACER

Density, viscosity                          May affect flow (e.g., high
                                               concentrations of Cl~)

Solubility in water                               Affects mobility

Sorptive properties                               Affects mobility

Stability in water                                Affects mobility

 Physical        Chemical          Biological
 radioactive     decomposition     degradation
 decay           and precipi-
                 tation


                        PUBLIC HEALTH CONSIDERATIONS

Toxicity
   Dilution expected
   Maximum permissible level—determined by federal, state, provincial,
                              and county agencies.

Proximity to drinking water
                                     165

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                    Summary of Some Important Tracers
      Tracer
                                           Characteristics
A.  Particulates
     Spores
     Bacteria
     Viruses
Used in karst tracing; inexpensive
Detection:  high, multiple tests possible
   by dying spores different colors
Low background
Moderately difficult sampling and analysis
   (trapping on plankton, then microscopic
   identification and counting)
No chemical sorption
May float on water, travels faster than
   mean flow rate

Most useful for  studying  transport of
   microorganisms
Detection:  highly sensitive
Sampling:  filtration, then incubation and
   colony counting
No diffusion, slight sorption

Detection:  highly sensitive
Sampling:  culturing, colony counting
Some sorption
Smallest  particulate
B.   Ions  (Non-radioactive,
          excludes  dyes)

      Chloride
      Bromide
Conservative
Inexpensive
Stable
Detection:   1  ppm by  titration,  electrical
    conductivity,  or selective  ion electrode
High  background may be  problematic
In  large  quantities,  affects density  which
    distorts  flow
No  sorption

Inexpensive
Stable
Detection:   0.5 ppm by  selective ion
    electrode
Low background
No  sorption
                                     166

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      Tracer
                                           Characteristics
C.  Dyes

     Rhodamine WT
     Fluorescein
Used in karst and highly permeable sands
   and gravels
Inexpensive
Moderate stability
Detection:  0.1 ppb by fluorimetry
Low background fluorescence
Moderate sorption

Properties similar to Rhodamine WT, except:
   Degraded by sun
   "Chlorella" bacteria interferes
   High sorption
D.  Radioactive Tracers
     Tritium
      EDTA-
High  stability
Detection:   > 1  ppt  by weak  3 radiation
Varying  background
Complex  analysis (expensive  field  and
    lab equipment)
Half-life  =  12.3 years
Radiation  hazard
Handling and administrative  problems
No  sorption

High  stability
Detection:   high sensitivity by  measuring
    3  and a emission
Background negligible
Complex  analysis
Half-life  =  8.2  days
Radiation  hazard
Sorption on  organic  material

Moderately stable (affected by  cations)
Detection:  highly sensitive,  by radiation
    or post-sampling  neutron activation
    analysis
No  background
Half-life  =  28  days
Radiation hazard
Little  sorption
                                      167

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      Tracer
                                           Characteristics
     82Br
High stability
Detection:  high sensitivity by measuring
   B emission
No background
Half-life = 35 hours
Radiation hazard
No sorption
E.  Other Tracers
     Fluorocarbons
     Organic anions
High stability
Detection:  1 ppt by gas chromatography
   with electron capture detection
Low background
Difficult to maintain integrity of
   samples
Non-degradable, volatile, low solubility,
   strong sorption by organic materials
Low toxicity

Detection:  few ppb by HPLC
Low background
Expensive analysis
Very low sorption
Low toxicity
                                     168

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                                 APPENDIX D




                         CHEMICAL SUPPLY COMPANIES







     A list of general chemical  suppliers is  provided,  followed by  a more




specific list according to type  of  tracer.  It  is recommended  that  several




companies be contacted, as prices can be quite  variable.   Prices  are not




quoted here because  they are  subject  to  change.  Current  prices can be  ob-




tained from the supplier by requesting a catalogue  and  price  list,  or by





telephone inquiry.
                                     169

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                         General Chemical Supplies
       Company

J.T. Baker Chemical Company*
222 Red School Lane
Phillipsburg, New Jersey  08865

Eastman Kodak Company*
343 State Street
Rochester, New York  14650

Fisher Scientific Company*
711 Forbes Avenue
Pittsburgh, Pennsylvania  15219

Hach Company*
P.O. Box 389
Love land, Colorado  80537

LaMotte Chemical Products Company*
P.O. Box 329
Chestertown, Missouri  21620

Union Carbide Corporation*
270 Park Avenue
New York, New York  10017
                                          Telephone

                                       (201)  859-2121



                                       (716)  722-2915



                                       (412)  562-8300



                                       (303)  669-3050



                                       (301)  778-3100



                                       (212)  551-3763
                               Bacter iophage
American Type Culture Collection**
12301 Parklawn Drive
Rockville, Maryland  20852
                         Dyes and Biological Stains
Eastman Kodak Company
343 State Street
Rochester, New York  14650
Hach Company
P.O. Box 389
Loveland, Colorado
80537
E.I. du Pont de Nemours and Company, Inc.*
1007 Market Street
Wilmington, Delaware  19898
                                       (716) 722-2915
                                       (303) 669-3050
                                       (302) 774-2421
Sources:  * Analytical Chemistry Lab Guide,  1982
          ** Water Tracer's Cookbook (Aley,  1976)
          *** Personal Communication (Thompson and Bentley, 1983)
                                     170

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                              Fluorescent Dyes

       Company                                                Telephone

Aldrich Chemical Company, Inc.*                            (414) 273-3850
940 W. St. Paul Avenue
Milwaukee, Wisconsin   53233

Pylam Products Company, Inc.**
95-10 218th Street
Queens Village, New York  11429

E.I. du Pont de Nemours and Company,  Inc.                  (302) 774-2421
1007 Market Street
Wilmington, Delaware   19898
                                    Gases

Allied Chemical  Corporation*                                (201) 455-4400
Specialty Chemicals  Division
P.O.  Box 2064 R
Morristown, New  Jersey   07960

Union Carbide Corporation                                   (212) 551-3763
270  Park Avenue
New  York, New York   10017

AIRCO Industrial Gases*                                     (201) 464-8100
575  Mountain Avenue
Murray Hill, New Jersey  07974

Matheson                                                    (201) 933-2400
P.O.  Box 85
932  Paterson Plank  Road
East Rutherford, New Jersey  07073
                                   Halogens

 Alfa Products*                                             (617)  777-1970
 Thiokol/Ventron Division
 152 Andover Street
 Danvers,  Mississippi  01923

 Edmund Scientific Company*                                 (609>  547-3488
 7082 Edscorp Building
 Barrington, New Jersey  08007
                                      171

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                     Isotopes (Stable and Radioactive)

       Company                                                Telephone

Monsanto Company                                           (314) 694-1000
800 N. Lindbergh Boulevard
St. Louis, Missouri  63166

Alfa Products                                              (617) 777-1970
Thiokol/Ventron Division
152 Andover Street
Danvers, Mississippi  01923

Edmund Scientific Company                                  (609) 547-3488
7082 Edscorp Building
Harrington, New Jersey  08007


                             Lycopodium Spores

Carolina Biological Supply Company**
Burlington, North Carolina  27215
                                  Lithium

Foote Mineral Company***                                   (215) 363-6500
Rt. 100
Exton, Pennsylvania  19341

Lithium Corporation***                                     (213) 728-6658
                         Fluorinated Benzoic Acids

Saber Laboratory, Inc.***                                  (312) 998-5950
Box 232
Morton Grove, Illinois  80039

Aldrich Chemical Company, Inc.                             (414) 273-3850
940 W. St. Paul Avenue
Milwaukee, Wisconsin  53233
                                     172

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                                 APPENDIX E




              ANALYTICAL METHODS FOR THE DETECTION OF TRACERS







                           Electrical  Conductance






     An indication of the total dissolved ionic  constituents can  be  obtained




by determining the capability of  the water  to  conduct an  applied  electrical




current.  The relative change in  the ability of  the  ground  water  to  conduct




an electrical current (above the  background resistivity prior  to  injection




during an ion tracer test) will allow  the determination of  breakthrough time




(travel time) of  the tracer  in  the  flow field.  The  ability of a  solution to




conduct an electrical current is  a  function of the  concentration  and charge




of the ions in solution  and  of  the  rate at  which the ions can  move under the




influence of an electrical potential.   Conductivity  or  velocity of the ions




is also a function of temperature;  thus,  it is important  to adjust the con-




ductivity readings for any change in temperature.




     The device most commonly used  for measuring electrical conductivity is




a conductivity meter, read in micromhos.   An alternating  current  is estab-




lished between two points  in the  flow  field and the conductivity (inverse of




resistivity)  is measured.  A plot of the time  versus resistivity or conduc-




tivity  readings will  indicate  the breakthrough time of the tracer.  This




technique is  very inexpensive  and simple to use with various  ionic species.




The  concentration of  the tracer passing through a system at the  breakthrough




point  cannot  be  determined by  this method.   It will, however,  provide  a




quick  method  to  determine  when to sample so that concentration of tracer  at




the  inflection point  (peak conductivity) can  be determined analytically.
                                      173

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                           Specific  Ion Electrode







     Specific ion electrode analysis  (see additional discussion under




"Coulometric Techniques") is similar  to pH measurement with  a pH meter.




Like the pH meter which measures the  H*" ion,  this  technique  is ion-specific




and thus, given data from an ionic tracer test,  the concentration  of  the




tracer can be determined using a calibration  curve  (millivolts versus mg/1).




The reading is a function of temperature, type of  ions present, and concen-




tration of various ions, particularly  the ion being measured.  Specific  ion




electrodes can be used in the field  or samples can  be taken  and analyzed  by




this method in the laboratory.




     Many pH meters used in the field can also read millivolts from specific




ion electrodes.  The electrode should  be checked using a  standard  before




initial use and should be checked daily during regular use.  This  method  is




a fast and inexpensive technique for  ionic tracers  which  have concentrations




of about 0.05 mg/liter or greater.   Commonly, ions  different than  those




being measured will produce part of  the measured voltage,  so the electrodes




should be used with standard solutions having a  composition  similar to  the




water sample being measured.






                                 Titration






     Titration is the procedure by which a solution of known concentration




(standard solution) is added to a water sample of  unknown tracer concentra-




tion until the chemical reaction between the  two solutes  is  complete.   The




point at which stoichiometrically equivalent  quantities of substance  have




been brought together is known as the  equivalence  point of the titration,




which is usually indicated by a change in color  produced  by  an added  dye.
                                     174

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In acid-base titrations, organic dyes known as acid-base indicators are used




for this purpose.  A pH meter can be used  instead of  a colormetric pH  indi-




cator if greater precision is needed.   The titration  method of analysis




varies in complexity based on the type  of  chemical  tracer  involved, and is




very time-consuming if a large  number of  samples require analysis.  Examples




of tracers which can be analyzed by  titrimetric  techniques include Cl~, I~,




SCN~, N03~, and SO^".






                            Laboratory  Culturing







     The analysis of various bacteria,  bacteriophage, and  yeast  as ground-




water tracers requires sample collection  in  sterile containers  (in order  to




minimize the potential of  sample  contamination by  normal  soil and water




microorganisms) and the preparation  of  specific  media on which  to assay  or




culture  the desired species.  These  microbial tracers are  usually selected




because  of  their ease of identification by a microscope  on prepared  media,




or because  they are "marked" by such characteristics as  antibiotic  resis-




tance.




     Once  samples are collected,  known  volumes obtained  from serial  dilu-




tions of the samples are filtered through membrane filters.  These  filters




are  then placed  on  prepared  nutrient media plates (i.e.,  agar-agar  or mold




broth for  yeast) and maintained at  the  optimum growth temperatures  either in




an  incubator or  at  room  temperature  for the appropriate  species-specific




time period.  The  plates are then analyzed under a microscope for the char-




acteristic markers  such  as pigmented colonies or other traits.   In the case




of  bacteriophage,  samples  can be frozen at the study site and analyzed at a





later date.
                                     175

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                      Microscopic Inspection of Spores







     Various species of spores (i.e., Lycopodium) used as ground-water




tracers are injected into the flow system at locations such as  sink holes




and are trapped with plankton nets at potential resurgencies.   The spores




(typically marked by dyes) are then examined and counted under  a microscope.







                          Colorimetric Techniques






     Analysis by colorimetric methods consists of comparing the extent  of




absorption of radiant energy at a particular wavelength by a solution of the




test material with a series of standard solutions.  Work with visual compar-




ators requires simple equipment, but is subject to  the vagaries of the  human




eye; in particular, fatigue and unavoidable low sensitivity under 450 nm and




above 675 nm.  The precision of measurement by unaided visual observation  is




always less than that attainable with photoelectric instruments.  Such




instruments, including filter photometers, are suitable for many routine




methods that do not involve complex spectra.  Precise work is done with a




spectrophotometer which is able to employ narrow band-widths of radiant




energy and which can handle absorption spectra in the ultraviolet region if




equipped with fused silica optics.




     The limitations of many colorimetric procedures lie in the chemical




reactions upon which these procedures are based.  Although very few reac-




tions are specific for a particular substance, many reactions are quite




selective, or can be rendered selective through the introduction of masking




agents, control by pH, use of solvent extraction techniques, adjustment of




oxidation state, or by prior removal of interferents (Dean, 1969).  Both the
                                     176

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color-developing reagent and the absorbing product must be stable for a




reasonable period of time.




     Numerous ground-water tracers  can be analyzed by  colorimetric tech-




niques, specifically, the large class of organic dyes  (see Chapter 4).







                                Fluorometry







     Fluorometric analysis is a photoluminescent method in which the elec-




tronic state of a molecule is elevated by absorption of electromagnetic




radiation, and as a consequence, the molecule  emits  light in order to reduce




its energy and return to the ground electronic state.  With the exception of




X-ray fluorescence, most of the work lies in  the wavelength region between




2000 and 8000 angstroms.  Fluorescence provides two kinds of spectra for




identification, the excitation and  emission spectra.




     Instruments used for fluorometric analysis range  from simple filter




fluorometers to highly  sophisticated spectrophotofluorometers.  Each will




contain four principal  components:  (1)  a source of excitation energy;  (2)  a




sample cuvette; (3) a detector to measure the  photoluminescence; and (4) a




pair of filters or monochromators for selecting the  excitation and emission




wavelengths (Willard, 1965).




     Fluorescence measurements usually are made by reference to some arbi-




trary chosen standard.  The standard is  placed in  the  instrument and the




circuit is balanced with the reading scale at  any  chosen  setting.  Without




readjusting any circuit components, the  standard is  replaced by standard




solutions of the test material and  the fluorescence  of each recorded.




Finally, the fluorescence of the solvent and  cuvette alone is measured  to




establish the true zero concentration.
                                     177

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      Measurement of fluorescent intensity permits the quantitative determi-




 nation of  inorganic and organic species in trace amounts.   Such ground-water




 tracers as dyes  can be  analyzed by this method.   The technique is also very




 sensitive;  the  lower limits for the method frequently are  less than those




 for  the absorption method  by a factor of ten or  better,  and are in the range




 of a few thousandths to one-tenth of a part per  million.







                            Coulometric Techniques






      Coulometric methods of analysis measure the quantity  of electricity




 (in  coulombs) required  to  carry out a chemical reaction.   The coulomb is




 that amount  of electricity which flows during the passage  of a constant




 current of  one ampere for  one second.  Reactions may be  carried out either




 directly by  oxidation or by reduction at the proper  electrode (primary




 coulometric  analysis),  or  indirectly by quantitative reaction in the solu-




 tion with  a  primary  reactant produced at one of  the  electrodes (secondary




 coulometric  analysis).   In either case,  the fundamental  requirement of




 coulometric  analysis is  that only one overall reaction must occur,  and that




 the  electrode reaction  used for  the determination proceeds  with 100% current




 efficiency.




      There are two  general  techniques used  in coulometry.   One method, the




 controlled-potential method,  maintains  a constant electrode potential by




 continuously monitoring  the potential of  the  working electrode as  compared




 to a  reference electrode.   The  current  is  adjusted continuously to  maintain




 the  desired  potential.  The second  method,  known as  constant-current coulom-




etry, maintains  a  constant  current  throughout  the reaction  period.   In this




method,  an excess  of a redox buffer  substance  must be  added so that the
                                     178

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potential does not rise to a value which will cause  some unwanted reaction




to occur.  The product of the electrolysis of the redox buffer serves as an




intermediate in the reaction, and must  react quantitatively with the




substance to be determined.




     Coulometric techniques are  particularly useful  in trace  analyses, being




accurate in the range from milligram  down  to microgram quantities.  This




technique can be used for various ionic tracers  such as Cl  ,  Br  , I  , or




SCN~.







                           Liquid Chromatography







     Chromatography encompasses  a diverse  group  of  separation methods used




to separate, isolate, and identify components of mixtures which  might other-




wise be resolved with great difficulty.  In  its  broadest  sense,  chromatog-




raphy refers to processes that are based  on  differences  in  rates at  which




individual components of a mixture migrate through  a stationary  medium  under




the  influence of a moving phase.  This  rate  of movement  of  a  specific com-




ponent is referred to as its retention  time.  Liquid chromatography  is  a




specific class of chromatography where  the mobile phase  (injected  sample)  is




a liquid and, depending on the specific method,  the stationary phase  is





either liquid or solid.




     In order to employ chromatographic techniques,  the  components  to be




separated must be soluble  in the mobile phase.   They must also be  capable




of interacting with the stationary  phase either  by  dissolving in it,  by




being absorbed by it, or by reacting  with it chemically.   Thus,  during  the




separations, the components become  distributed  between the  two phases.




     The most widely used chromatographic method is elution analysis.   In




the  elution method, a small portion  of  sample  is injected and introduced at






                                     179

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the head of the separation column.  A differential migration process occurs




in which each component of the sample interacts with the stationary phase,




retarding its flow at a rate characteristic of that specific component down




the length of the column.  The time required for a specific component to




reach the end of the column, which is referred to as the retention time,  is




a function of the distribution coefficient of the component.  The concentra-




tion of each component present is then determined based on the  comparison of




its retention time to that of a known concentration standard.




     There are numerous chromatographic methods employing a liquid mobile




phase.  These include partition,  adsorption, ion exchange, paper, and thin-




layer chromatography.  All are based on the same chromatographic  principles




of separation and isolation as described  previously, with variation in  the




constituents of the mobile and stationary  phases.




     Liquid chromatography can be used for the analysis of a wide range  of




tracers at very low detection levels.  Fluorinated organic acids  can  be




detected down to concentrations from 1 ppm to 0.01 ppb using reverse  phase




and ion exchange high-pressure liquid chromatography  (Stetzenbach,  1982).




Halide tracers including  Cl~, Br~, and I"  can be analyzed using liquid  (ion




exchange) chromatography.







                             Gas  Chromatography






     In gas chroraatography, the components of a vaporized sample  are  frac-




tionated as a consequence of partition between a mobile gaseous phase and a




stationary phase which is either  a liquid  held on  a  solid support (gas-




liquid chromatography) or a solid (gas-solid chromatography).   In principle,




gas and liquid chromatography techniques  differ only  in that  the  mobile phase




in the former is a carrier  gas rather than a liquid.





                                     180

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     In gas chromatography,  the  sample  containing  the  solutes  is  injected




into a heating block where  it  is  immediately  vaporized and  swept  as  a  plug  of




vapor by the carrier gas  stream  into  the  column  inlet.   The  solute components




having a finite solubility  in  the  stationary  phase distribute  themselves




between that phase and  the  gas according  to  the  equilibrium  law.   This par-




titioning process occurs  repeatedly  as  the  sample  is moved  toward the  outlet




by the carrier gas-  Each component  (solute)  will  travel at  its  own  rate




through the column, and consequently,  a band  corresponding  to  each solute




will form.  The bands will  separate  to  a  degree  which  is determined  by the




partition ratios of the solutes  and  the extent of  band spreading. The sol-




utes are eluted, one after  another,  in  the  increasing  order  of their parti-




tion ratios and enter a detector  attached to  the column exit.   If a  recorder




is used, the signals appear on the chart  as  a plot of  time  versus the  compo-




sition of the carrier gas stream.  The  retention time  or time  of  emergence  of




a peak identifies the component,  and  the  peak area reveals  the concentration.




of the component in the sample.   Although the gas  chromatographic method  is




limited to volatile materials  (about  15%  of  all  organic compounds),  the




availability of gas chromatographs working  at temperatures  up  to 450°C, pyro-




lytic techniques, and the possibility of  converting many materials  into a




volatile derivative extend  the applicability  of  the methods  (Willard,  1965).
     Gaseous  tracers  such  as  f luorocarbons (i.e.,  Cd-^F ar>d CC1 F )  are




easily detectable  in  low concentration of between 1 and 100 parts per tril




lion by gas chromatographic methods.







                              Mass Spectrometry







     Mass Spectrometry  techniques  involve converting the compounds of a




sample into charged ionic  particles consisting of the parent ion and ionic





                                     181

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fragments of the original molecule, and  resolving  them according  to  their




mass/charge ratio.  A mass spectrometer  consists generally of  four units:




(1) the inlet system; (2) the ion  source;  (3)  the  electrostatic accelerating




system; and (4) the detector and readout  system.   This ionization process




results in a mass spectrum which is a record of the numbers of different




kinds of ions.  The relative numbers of  each type  of  ion  are characteristic




for every compound, including isomers.




     Sample size requirements for  solids  and liquids  range from a few  milli-




grams to submicrogram quantities as long  as the material  can exist in  the




gaseous state at the temperature and pressure  existing in the  ion source.




The average sample size for routine gas  analysis is about 0.1  ml  at  standard




conditions, but with special instrumentation,  samples of  10 8  ml  can be




analyzed (Skoog, 1980).  Information useful for elucidating chemical struc-




tures and for accurate determination of  molecular  weight  can be obtained  from




the mass spectra literature.  Mass spectra can also be employed for  the quan-




titative analysis of complex mixtures.   In such cases, the magnitude of ion




currents at various mass settings  is related to concentration.




     Mass spectrometry is often used in  conjunction with  gas chromatography




techniques.  Such is the case for  the analysis of  fluorinated  organic  acids




used as ground-water tracers.  Lithium salts used  for tracing  are often




analyzed by mass spectrometry.  Stable isotopes (deuterium, tritium,  •1-L+C,




sulfur, etc.) are also analyzed using mass spectrometry.







                             Gamma-Ray Emission






     Gamma emission is one type of radiation encountered  in radiochemical




analysis of both natural and artificial  radioactive isotopes which have been
                                     182

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used as tracers in hydrologic  systems.  There  are  three general  types of




radiochemical methods:  (1) activation  analysis;  (2)  isotope dilution; and




(3) radiometric analysis.  In  activation  analysis, activity is induced in




one or more elements of the sample  by irradiation  with suitable  particles




and the resulting radioactivity  is  measured.   In  isotope  dilution,  a  pure but




radioactive form of the substance  to be determined is mixed with the  sample




in a known amount.  After equilibrium,  a  fraction  of  the  component  is iso-




lated and its activity analyzed.   In a  radiometric analysis, a radioactive




reagent is employed to separate  completely  the component  from  the bulk of the




sample.  The activity of  the  isolated portion  is  then measured.




     Gamma rays (high-energy  photons) are monoenergetic  and have a  penetrat-




ing power which is much greater  than that of  either  alpha or beta particles,




but a lower ionizing power.   The gamma-ray  emission  spectrum,  in contrast  to




the alpha and beta emission spectra,  is characteristic  for each  nucleus  and




is thus useful for identifying radioisotopes  (Skoog,  1980).




     One type of detection method for gamma-ray emission is  photon  counting.




This is a signal processing method where  the  individual  pulse  of electricity




produced as a quantum of  radiation is absorbed by the transducer and counted.




The power of the beam is  then recorded  digitally in  terms of  counts per  unit




of time.  This operation  requires rapid response times  for the detector  and




signal processor with respect to the  rate at  which quanta are  absorbed  by  the




transducer.  Thus, photon counting is  only applicable to beams of relatively




low intensity.




     Other  types  of  detectors include  gas-filled detectors,  the  geiger  tube,




proportional counters,  ionization chambers, and semiconductor  detectors.  In




most  techniques,  interference from alpha and beta radiation is readily
                                     183

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avoided  by  filtering  the beam with a  thin  window  of  aluminum  or  mylar.




Radioactive  ground-water tracers  such as  *3*I  can be analyzed by gamma-ray




emission.







                           Beta Particle Emission






     Beta particle emission  is another  type  of  radiochemical  analysis.   Beta




particles interact primarily with the electrons in the material  penetrated  by




the particle.  The molecules may  be dissociated,  excited,  or  ionized.   Beta




particles are produced within a nucleus by the  spontaneous  transformation of




a neutron to a proton or a proton to  a  neutron.




     Beta particle decay is  characterized  by production  of  particles with a




continuous  spectrum of energies which is characteristic  of  each  decay  pro-




cess.  Beta-energy ranges in air  are  difficult  to evaluate.   Thus,  they are




based upon  the thickness of an absorber, such  as  aluminum,  required to  stop




the particle.  Thin-windowed geiger or  proportional  tube counters  are  used  to




count a uniform layer of the sample for beta sources having energies greater




than 0.2 MeV.  For low-energy beta emitters, such as carbon-14,  sulfur-35,




and tritium, a liquid scintillation counter  is  used.  For  the  liquid scin-




tillation counter method, the sample  is dissolved in a solution  of  the




scintillation compound.  A vial containing the  solution  is  then  placed  be-




tween two photomultiplier tubes housed  in a  light-tight  container.  The




output from the two tubes is fed  into a counter which records  a  count  only




when pulses from the  two detectors arrive at the  same time.




     Beta particle emission techniques are used for  analysis  of  radioactive




tracers.
                                     184

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                         Neutron Activation Analysis







     Neutron activation analysis involves  the  production  of a radioactive




isotope by the capture of neutrons  by  the  nuclei  of  the substance  to  be




analyzed.  Irradiation is accomplished by  placing the  sample to  be  analyzed




in an intense flux of either  thermal or fast neutrons  for a length  of  time




sufficient to produce a measurable  amount  of the  desired  radioisotope.   Radi-




ation detectors are used to analyze the radiation emitted by each  sample and




the unique radiation characteristics of the  sample are sought.




     The method known as post-sampling activation analysis has  been described




by Schmotzer (1973) as a tracer  technique  using low concentrations  of Br~.




Although this method of tracer  analysis reduces the amount and  subsequently




the cost of the chemical tracer,  it is an  expensive technique.
                                     185

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