Application of the Hydrocarbon Spill Screening Model to Field Sites

James W. Weaver

Proceedings of the American Society of Civil Engineers
Conference on Non-aqueous Phase Liquids in the Subsurface Environment:

Assessment and Remediation
(To appear)

November 12-14, 1996
Washington, D.C.

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Application of the Hydrocarbon Spill Screening Model
to Field Sites

James W. Weaver1

Abstract

The Hydrocarbon Spill Screening Model, HSSM, was developed for estimating
the impacts of petroleum hydrocarbon contamination on subsurface water resources.
The model simulates the release of the hydrocarbon at the ground surface, formation
of lens in the capillary fringe, dissolution of constituents of the gasoline, and trans-
port to a receptor in the aquifer. Field data from two case histories were used to de-
velop input parameter sets for HSSM. In one case there were aqueous concentration
data from an extensive monitoring network. In the second case the monitoring net-
work was small, but the date and volume of the release could be estimated. Both of
these cases have features that are well suited for testing of the model. In both cases
the model was able to reproduce the trends in the data set and the concentrations to
within an order of magnitude.

Introduction

The Hydrocarbon Spill Screening Model (HSSM) was intended as a simplified
model for estimating the impacts of petroleum hydrocarbons on subsurface water
resources (Weaver etal., 1994 and Charbeneau etal., 1995). In this paper the model
was applied to two sites with releases from leaking underground storage tanks. The
data were drawn from State Agency case files and were not intended for research
purposes. The objectives of the work were to determine if HSSM could reproduce
the observed contaminant distributions and to demonstrate the effect of data gaps on
model results. These applications demonstrate the effects of parameter uncertainty
on model results, because in each case some information for running the model was
not available.

1 National Risk Management Research Laboratory, United States Environmental
Protection Agency, Ada, Oklahoma 74820

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Field Data Sets

Contamination from underground storage tank releases is usually characterized
by contaminant concentrations in the ground water and soils. Normally, data are
collected for benzene, toluene, ethylbenzene and the xylenes (BTEX), and total pe-
troleum hydrocarbons (TPH). Water samples give concentrations that in effect are
related through time and space by the transport equation:

dc

rjR— = X/ -D\/ c - q-x/c - XrjRc + J(t)	(1)

where // is the porosity, R is the retardation factor, c is the contaminant concentra-
tion in the ground water, q is darcy velocity, D is the dispersion constant, A is a first
order decay constant, J(t) is the amount of mass per unit volume of aquifer added
per unit time. Each term on the right hand side of equation 1 can cause the con-
centration to change. Apparent dilution along the length of contaminant plumes is
characterized by the dispersion constant (term 1: y • D y c), which is assumed
to depend upon the seepage velocity and inherent dispersivity of the aquifer. Water
flowing along divergent streamlines can cause reduction in concentration (term 2:
q ¦ y c). In equation 1 biodegradation is assumed to follow first order decay (term 3:
Xr/Rc). The last term, J(t), is the source/sink term which can include losses due to
hydrolysis, extraction or volatilization, for example. It may also include gains due
to loading from the contaminant source.

For leaks from underground storage tanks the source of contamination is the re-
leased hydrocarbon liquid. Normally the volume and timing of the release is un-
known. The magnitude of the source term in equation 1, however, depends directly
upon the volume, rate and timing of the release. Typical data from a site that re-
flect the hydrocarbon liquid are free product levels observed in wells, and concen-
trations from soil samples. Free product levels can not provide a reliable estimate of
the release volume, because there is not a clear relationship between the free prod-
uct levels in wells and the amount of free product in the formation (Kemblowski and
Chiang, 1990). Free product recovery data can obviously give a lower bound on the
release volume. Core extracts could provide more reliable estimates of the product
volume, but they are only taken upon installation of wells and may not be analyzed
over their full length. Hydrogeologic data normally consists of information on re-
gional hydrology and geology from published sources, well logs, and measured or
estimated hydraulic conductivities. Well logs define the vertical and spatial stratig-
raphy.

The Hydrocarbon Spill Screening Model

The Hydrocarbon Spill Screening Model (HSSM) was intended as a screening
model for estimating the impacts of hydrocarbon (or light nonaqueous phase liq-
uid, LNAPL) releases to the subsurface (Weaver et al., 1994, and Charbeneau et al.,

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1995). The model consists of three modules that treat transport in the vadose zone,
the formation and decay of an oil lens in the capillary fringe, and transport of solu-
ble constituents of the LNAPL in the aquifer to receptor locations. The model uses
semi-analytical solutions of the transport equations which include many of the im-
portant physical and chemical processes. It does not include all processes which
may be important, and because of the usage of semi-analytical solutions, it does not
account directly for heterogeneity.

There are 36 physical and chemical parameters required to run HSSM. Each of
these has an impact on the model results. Depending on the specific model scenario,
some of the parameters are far more important than others. Of the entire suite of pa-
rameter values, only a small number of the most important parameters were varied
to achieve the fits to the data described below (Table 2).

Features of the data sets

Both of the data sets simulated below were accepted by the State Agency that
was responsible for managing the site and thus met the regulatory requirements for
assessment of contamination. In neither of these cases was modeling of the spill
considered an essential or integral assessment activity. Table 1 lists some features
of each spill. The data used in this paper came from excerpts of state agency case
files (Weaver et al., 1996, and State of Utah, 1996). Each data set has unique fea-
tures that led to its inclusion in this study. Hagerman Avenue has a large number of
monitoring wells and Mountain Fuels has estimates of the date and volume of re-
lease. For each case model results for benzene are discussed below. These results
are intended to illustrate certain features of the cases and the ability of the model to
duplicate them.

Mountain Fuels, Salt Lake City, Utah

At the Mountain Fuels site in Salt Lake City, Utah, approximately 7500 gallons
of gasoline leaked from a tank that was punctured in 1979 (State of Utah, 1996).
Four monitoring wells were sampled from June 1991 to December 1994 to charac-
terize the resulting aquifer contamination (Figure 1). Thus these data date from 12 to
15 years after the release. Concentrations in two of the four monitoring wells were
always below the detection limits. One of the remaining wells is clearly directly in
the path of the contaminant plume (MW-2). The fourth well (MW-1) appears to be
on the edge of the plume, both because of its geographic location and its concentra-
tion history.

Parameter values given in Table 2 were used in the simulation. The hydraulic
conductivity and gradient were estimated from the field data. The other parame-
ters listed in the table were estimates that resulted in order of magnitude matches
to the observed data. At the furthest down gradient well, MW-2, the concentrations

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Item	Hagerman Ave. Mountain Fuels

E. Patchogue, Salt Lake City,
New York	Utah

Release Date

Unknown

Known

Release Volume

Unknown

est. 7500 gal

Composition of Fuel

Unknown

Unknown

Mass in the Ground Water

Est.

Unknown

Cores Analyzed

30

-

Monitor Wells

48 O)

4

Vertical Plume Definition

Yes

No

Sample Rounds

3

8 W

Data Points per Sample Round

210

4

Slug Tests

13

Unknown

Pump Tests

1

0

26 multilevel samplers and 22 screened wells
O 6 samples were taken from MW-2
number not given in case file excerpt

Table 1: General features of the two data sets

decline steadily. This implies that for all the simulations and the field data that the
peak concentration has already passed this receptor. Table 3 lists the simulated peak
concentrations, maximum mass fluxes to the aquifer, and times of their occurrence.
With increasing conductivity, the benzene is released sooner at a higher maximum
rate. The peak concentrations in the aquifer occur sooner, but with higher veloci-
ties the peak concentrations may decline due to the effect of increasing dispersion
(which is proportional to the velocity).

Item	Hagerman Ave. Mountain Fuels

E. Patchogue, Salt Lake City
New York	Utah

Hydraulic Conductivity	43, 94, 149 m/d	0.75, 1.5, 3.0 m/d

Hydraulic gradient	0.0013	0.02

Water Table Fluctuation	0.1 m	0.1 m

Initial Benzene Concentration	8200 mg/L	4100 mg/L

Half Life	2250 days	69.3,30 days

Longitudinal Dispersivity	10,15,20 m	15m

Table 2: Main Adjusted Parameters for the Cases

The simulated concentration distributions at MW-2 shown in Figure 2 decline

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Figure 1: Mountain Fuels, Salt Lake City, Utah

uniformly. The concentrations are seen to be dependent upon the hydraulic conduc-
tivity because of their dependence upon the release rate of benzene from the gasoline
and advective-dispersive transport in the aquifer. The value of concentration can also
be adjusted by changing the degradation rate constant as noted in the figure. Both
the simulation with a Ks = 1.5 m/d and half life of 30 days and that with Ks = 0.75
m/d and half life of 69.3 days (loss rate of 0.01% per day) give a similar match to the
field data. The breaks in the concentration curves for Ks = 1.5 m/d and Ks = 3.0 m/d
occurring at about January 1, 1990 and January 1, 1996, respectively, are caused by
the ending criterion used in HSSM (Weaver et al., 1994).

Observation well MW-1 was located within the oil lens generated by HSSM.

Conductivity Time Maximum Time Maximum
Concentration	Mass flux

m/d	d	//g/L	d kg/d

0.75

968

0.1281

731

0.0066

1.5

839

4.7276

502

0.0262

3.0

390

2.9253

306

0.0742

Table 3: Mountain Fuels Simulated Peak Concentrations, MW-2

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CT3

O
~CX3

CD
CJ

cz
o

250

200

1 50

1 00

50

0

Ks = 0.75 m/d, h.l. = 69.3 m/d
Ks = 1 .5 m/d, h.l. = 69.3 d
Ks = 3.0 m/d, h.l. = 69.3 days
Ks = 1 .5 m/d, h.l. = 30 days
/\ Field Data MW-2

cvj	co	lo	co	r-—

cn cn cn en cn cn
cn cn cn cn cn cn

Date

Figure 2: Model results and Field data for MW-2 Mountain Fuels, Salt Lake City,
Utah

Therefore no contaminant concentrations were calculated for this location by the
aquifer module. The concentrations in the ground water below the lens, however,
give an indication of concentrations that would be observed in MW-1. Figure 3 shows
a comparison of the model and the data for this well. Three values of hydraulic con-
ductivity were used in the simulations: the reported average of 1.5 m/d, and half
and twice this value. As the hydraulic conductivity increased, the rate of release of
benzene to the aquifer increased. Thus the benzene concentrations for the higher
conductivity simulations decrease more rapidly than for the low conductivity cases.
The case with the lowest estimate of conductivity (0.75 m/d) falls through the scatter
of the field data, but the variation in concentration observed in the monitor well can-
not be matched by the model. Both MW-1 and MW-2 are best fit by the simulation
with conductivity of 0.75 m/d and half life of 69.3 days.

Hagerman Avenue, East Patchogue, New York

The gasoline spill at East Patchogue, New York is described in detail in another
paper in this proceedings (Weaver et al, 1996). In that paper, the extensive data set
was used to estimate the ground water flow velocity, the volume of gasoline released
and the mass of BTEX and methyl /er/-buty\ ether, MTBE, released to the aquifer.

The data from the site suggest a release volume of at least 13,200 gallons, which
contains 420 kg of benzene (Weaver et al., 1996). The release likely occurred as a

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Figure 3: Model results and Field data for MW-1 Mountain Fuels, Salt Lake City,
Utah

series of continuing leaks over several years. The tanks at the service station were re-
moved in 1988, so any releases ended that year. Since some fraction of the gasoline
contained MTBE, that gasoline was released after 1979 when MTBE was approved
for use as an octane enhancer. The MTBE in the aquifer traveled from the source
zone to its center of mass in 1994 and 1995 in 16 years or less. Using the centers-
of-mass calculated by Weaver et al. (1996), the MTBE plume traveled at the rates
listed in Table 4. The rates show remarkable consistency suggesting that the aver-
age transport time, averaged over the duration of the contamination event, is nearly
constant for distances between 1387 m and 1583 m from the suspect source. The
rate would have been 0.65 m/d if the entire release occurred on December 31, 1988
and the 0.25 m/d if the release began on January 1, 1979.

The ground water flow velocity influences advective transport in the aquifer and
the rate of release of mass from the oil lens. These two processes must both be con-
sistent with the data from the field for the simulation to be appropriate. Parameter
values for the simulation are listed in Table 2. In separate simulations the hydraulic
conductivity was taken as the average and the average plus or minus one standard
deviation of values determined from slug tests performed at the site. The water ta-
ble fluctuation was determined from wells near in the source zone. The other para-
meters listed in Table 2 were taken as reasonable estimates that resulted in order of
magnitude matches to the observed data.

The critical parameters for simulating the Hagerman Avenue site were the rate

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Sample	Date	Distance	Estimated Velocities (m/d)

Round	Release Date Scenarios

Late	Early

days since rate days since rate
m Dec 31, 1988 m/d Jan 1, 1979 m/d

1	Dec 16, 1994 1387 2176.25 0.64 5828.75	0.24

2	April 16, 1995 1557 2297.5 0.68 5950.0	0.26

3	Oct 17, 1995 1583	2481.5 0.64 6134.0	0.26

Table 4: Rates of Movement of the MTBE Plume

and duration of the release, ground water flow velocity, degradation rate constant,
and water table fluctuation. The ground water velocity was selected to be 0.40 m/d
which is within the range given in Table 4. The release was assumed to occur con-
tinuously from January 1, 1979 to December 31, 1988 at a rate that resulted in 50
m3 (13200 gallons) of gasoline in the aquifer. This release scenario was used be-
cause the true rates and timings of releases are unknown and because it was found
necessary to generate relatively low concentrations in the ground water to match the
monitor well data. From sample round one and two water level data near the source,
the water table fluctuation was approximately 0.33 ft (0.10 m). Figure 4 shows a
comparison of the vertically averaged measured concentration in MW-13, MW-12
and MW-1,4 with the HSSM model results (see Weaver et al., 1996, Figure 1).

The highest concentrations were simulated at the up gradient monitoring well
(MW-13). The observed concentrations at this well (open triangles on Figure 4)
decline over the sampling period indicating that the peak concentration has passed
this well. MW-12 shows the highest observed concentrations (open squares) that
decline with time, in contrast to the model result that indicates relatively constant
concentration over this period. Being down gradient of MW-13 the concentrations
would be expected to decrease if advective-dispersive transport is occurring in a uni-
form aquifer. Figure 3 of Weaver et al. (1996) shows that the benzene distribution in
the aquifer is unsmooth, suggesting that there is preferential flow through certain re-
gions. The observed concentration in MW-1,4 increased from sample rounds one to
two (open circles). This behavior is not matched by the model which indicates that
the peak concentration at this receptor has yet to arrive. This result is consistent with
the field data (Weaver et al., 1996, Figure 3) which show that the benzene plume is
beginning to pass MW-1,4 during the sampling interval. Despite variability, each of
the model results was within an order of magnitude of the field data.

Figure 5 shows the effect of hydraulic conductivity variation on model results
at MW-13. As expected, the benzene arrives sooner and at higher concentration as
the ground water flow velocity increases. In sample round one the field data fall near

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CD

O
~ccS

1500

1 000

A
~
O

Model Result MW-1 3
Model Result MW-1 2
Model Result MW-1 ,4
Field Data MW-1 3
Field Data MW-1 2
Field Data MW-1 ,4

~

CD
CJ

a
o
O

500

LO
CO
CD

Date

Figure 4: Model results and field data Hagerman Avenue, East Patchogue, New York

the average curve (Ks = 94 m/d) while later data fall near the low conductivity result
(Ks = 43 m/d). These results suggest that with a steeper front one curve may fit data
from all three sample rounds. Figure 6 shows the effect of varying dispersivity on
the results for MW-13. Decreasing dispersivity over the range shown here sharpens
the front somewhat, but does not force an exact match to the data. The parameter
values could be further adjusted to try to match the field data at this well, but other
wells would likely remained unmatched as shown in Figure 4.

Conclusions

Uncertainty exists in model parameters for both data sets. In a general sense
HSSM was able to reproduce the trends in the monitoring wells. These trends are
largely related to the hydraulics of the system, which apparently are relatively well
matched by the model. At the Mountain Fuels site, the concentrations in MW-2
decline continually, which matches the model result that indicates that the peak con-
centration already passed the well. At Hagerman Avenue the concentration peak had
not yet reached MW-1,4 as noted on Figure 3 of Weaver et al. (1996) which was re-
flected in the simulation results. For both cases the data were collected more than
ten years after the release may have occurred so that the measured concentrations
are below a few hundred micrograms per liter. The higher concentration data which
could provide a better test of the model are not available. As noted at Hagerman

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1 000

CD

=s_

d

o
~cd

CD
o
cz
o

o

800

600

400

200

	a kb = 43 m/d

	¦ Ks = 96 m/d

	• Ks = 1 49 m/d

A	Field Data MW-1 3

*—¦— i ¦ Tlrfc



CO
CT)

cn

Date

Figure 5: Effects of hydraulic conductivity variation at MW-13, Hagerman Avenue,
East Patchogue, New York

1 000

CD

o
"cd

CD
o

dZ

o
O

800

600

400

200

= 1 0 m
ocL = 1 5 m
ocL = 20 m
Field Data MW-1 3

Date

Figure 6: Effects of dispersivity variation at MW-13, Hagerman Avenue, East
Patchogue, New York

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Avenue, heterogeneity plays an important role in determining contaminant concen-
trations. Since HSSM cannot include heterogeneity, a possible use for the model in
some situations is to use its capability for generating a mass input function for the
aquifer, but then to simulate the aquifer with a numerical solute transport model.

Relatively close approximations of the concentrations could be obtained for wells
at these sites. In each case it was necessary to include degradation of benzene to
achieve an order of magnitude estimate of concentration. This reflects the common
occurrence of benzene degradation and the power of the decay constant in reducing
concentrations. Where there was unsmooth variation in concentration as at Hager-
man Avenue and MW-1 of Mountain Fuels, the model did not capture the fluctuation
and is not capable of doing so. Hagerman Avenue was simulated with relatively low
values of dispersivity (Gelhar et al., 1992) and degradation, while Mountain Fuels
was simulated with relatively high values of both parameters. These suggest, tenta-
tively, that dispersion and degradation are less important at Hagerman Avenue than
Mountain Fuels.

The examples presented in this paper showed that parameter values could be se-
lected from field data sets so that HSSM matched the data to within an order-of-
magnitude for Hagerman Avenue and Mountain Fuels. The model results may or
may not be predictive of future conditions at the sites because of parameter uncer-
tainty, model assumptions, and that the values used were fitting parameters. The two
sites selected for this study are unique as they have unusual amounts of data (Hager-
man Avenue) or estimates of the time and volume of the release (Mountain Fuels).
These cases represent unusual opportunities for testing the HSSM against field data.
The cases, also, illustrate that for many fuel spills, site data is a limiting factor in test-
ing or applying models.

Acknowledgement

The information in this document has been funded wholly or in part by the United
States Environmental Protection Agency. It has been subjected to Agency review
and approved for publication. Mention of trade names or commercial products does
not constitute endorsement or recommendation for use. The author thanks Joseph
Haas, New York State Department of Environmental Conservation for providing the
E. Patchogue data set; and Robin Jenkins, Utah Department of Environmental Qual-
ity for providing the Salt Lake City, Utah data set.

References

[1] R. J. Charbeneau, J. W. Weaver, B. K. Lien, 1995, The Hydrocarbon Spill
Screening Model (HSSM) Volume 2: Theoretical Background and Source
Codes, US EPA, EPA/600/R-94/039b.

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[2]	L. W. Gelhar, C. Welty, K. R. Rehfeldt, 1992, A critical review of data on field-
scale dispersion in aquifers Water Resources Research, 28(7), 1955-1974.

[3]	M. W. Kemblowski and C. Y. Chiang, 1990, Hydrocarbon thickness fluctua-
tions in monitoring wells, Ground Water, 28(2), 244-252.

[4]	State of Utah, 1996, Unpublished case file.

[5]	J. W. Weaver, R. J. Charbeneau, J. D. Tauxe, B. K. Lien and J. B. Provost, 1994,
The Hydrocarbon Spill Screening Model (HSSM) Volume 1: User's Guide, US
EPA, EPA/600/R-94/039a.

[6]	J. W. Weaver, J. E. Haas, J. T. Wilson, 1996 Analysis of the Gasoline Spill at
East Patchogue, New York, Proceedings of the Conference on Non-aqueous
Phase Liquids in the Subsurface Environment: Assessment and Remediation,
American Society of Civil Engineers, November 14-16, Washington, D.C.

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