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Groundwater Quality: Remediation and Protection (Proceedings of the GQ'98 Conference held at
Tubingen, Germany, September 1998). IAHS Publ. no. 250, 1998.
Numerical simulations of the flow and transport
of dense non-aqueous phase liquids (DNAPLs) in
naturally heterogeneous porous media
JANET WHITTAKER, PETER GRATHWOHL,
GEORG TEUTSCH
Department of Applied
Geology,
Geological
Institute,
University
of
Tubingen,
Sigwartstrasse 10, D-72076
Tubingen,
Germany
EDWARD SUDICKY
Waterloo Centre for
Groundwater
Research,
University
of
Waterloo,
Waterloo, Ontario,
Canada
N2L 3G1
Abstract The migration and fate of a dense non-aqueous phase liquid
(DNAPL) in heterogeneous sand and gravel deposits is simulated using the
compositional program CompFlow. Spatial distributions of lithofacies
mapped in outcrops are the source of hydraulic conductivity fields, thus
closely resembling natural heterogeneity. The simulations illustrate the role
of the geological structures and their hydrogeological properties in
determining the distribution and saturation of a DNAPL following its
release, and hence its subsequent dissolution.
INTRODUCTION
Many groundwater contaminants originating from industrial sites, waste disposal
sites and accidental spillage have been released into the subsurface as dense non-
aqueous phase liquids (DNAPLs). The subsurface flow and transport of such
contaminants is highly sensitive to spatial variability in hydraulic properties. In the
initial stages after a release, a DNAPL migrates in its own phase under the influence
of gravity and capillary forces. As the DNAPL travels through the subsurface, a
residual saturation remains trapped in pores, and pools form above regions of low
permeability. Regions of high permeability may constitute fast pathways or, if entry
pressures of surrounding regions are much lower, areas where DNAPLs can
accumulate at saturations much higher than the residual saturation. Dissolution of a
compound from the DNAPL phase takes place over a much longer time scale. Mass
transfer rates have been shown to depend, for example, on the water and DNAPL
saturations, the local water velocity and the mean grain size (e.g. Mayer & Miller,
1996),
thus they are highly influenced by heterogeneities in the hydrogeological
properties and the location of preferential flow pathways.
Both (a) the location and saturation of the non aqueous phase and (b) the
dissolution rates from the DNAPL have important implications for the cleanup of
contaminated sites: the rate at which the processes occur determines the efficiency
and duration of remediation efforts. However, the prediction of the fate of DNAPLs
in the subsurface is difficult due to the challenges of parameter identification in real
aquifer systems.
Several studies have used Gaussian simulations of heterogeneous conductivity
fields as a basis for simulations of DNAPL flow and transport, however such
Numerical simulations of the flow and transport ofDNAPLs in naturally heterogeneous media 191
statistically-generated conductivity fields may not necessarily be able to represent
features of natural geological deposits such as abrupt transitions in properties or
patterns of connectivity of extreme values (Koltermann & Gorelick, 1996).
Therefore, there is also a need to study the flow and transport of DNAPLs using data
from naturally heterogeneous porous media.
Outcrops, as analogues of aquifers deposited in similar environments, are an
(a)
Om
Om 11.5 m
2.5 m
Hydraulic conductivity (K ms'1
-10.0 -9.0 -8.0 -7.0 -6.0 -5.0 -4.0 -3.0 -2.0
(b)
Groundwater flowlines before spi Flow direction
(c)
TCE saturation (s)
(d) 0.00 0.06 0.12 0.18 0.24 0.30 0.36 0.42
>0.48
i. •..».>£ : \ti
1*-.
rV'-f.
->>
TCE molar fraction in water (X) log (X/Xs "gPf
-6.00 -5.25 -4.50 -3.75 -3.00 -2.25 -1.50 -0.75 -0.01
Fig. 1 Numerical simulation of a TCE spill in heterogeneous sand and gravel
deposits: (a) hydraulic conductivity distribution, (b) groundwater flow lines before
the spill, (c) TCE saturation after 30 days, (d) TCE molar fraction in water after
30 days.
192 Janet VMttaker et al.
extensive source of data: mapping of lithofacies provides two dimensional
information on geometries and spatial characteristics. Material is also easily
accessible for sampling and laboratory analysis of hydrogeochemical properties.
Thus comprehensive, realistic data sets may be formed at a level of detail not
possible for a subsurface investigation.
METHOD
The release of a DNAPL and its migration in highly heterogeneous sand and gravel
aquifers are simulated for data sets derived from outcrop studies using CompFlow
(Unger et al, 1995), a comprehensive compositional modelling system. Flow, mass
transfer and transport processes are considered; solutions for phase pressures and
contaminant species molar fractions are found using robust numerical techniques. As
an illustration, a spill of trichloroethene (TCE) is simulated for a two dimensional
section measuring 11.5 x 2.5 m, with a computational cell size of 5 x 5 cm. The
hydraulic conductivity of the section is very heterogeneous due to the presence of
lenses of well-sorted gravels in otherwise poorly-sorted sands and gravels (Fig. 1(a)).
The lenses determine the pattern of groundwater flow: Fig. 1(b) shows the flow lines
corresponding to fully-saturated groundwater flow from left to right (the base is
assumed to be impermeable). The TCE is introduced into the porous medium at the
top boundary at a volumetric flow rate of 10
1
day"1 over an area of 0.5 m2 (both per
metre width of aquifer). The average groundwater velocity is approximately
0.2 m day"1.
RESULTS
The TCE saturation and molar fraction in water 30 days after the start of the TCE
release are displayed in Figs 1(c) and 1(d), respectively. The high permeability
lenses cause, in the first instance, a faster spreading of the TCE, but are later areas
where the TCE accumulates at higher saturations (up to 90%) due to the higher pore
entry pressures needed for the TCE to penetrate further into the surrounding lower
permeability sands and gravels. On reaching the base, a pool of TCE forms, such
that the non-aqueous phase occupies around 30% of the pore space. These regions,
where TCE is trapped at high saturations, have low water velocities, meaning that
dissolution rates are slow and the TCE is very persistent. In Fig. 1(d) the dissolved
TCE is seen to be transported along the water flow paths, leading to a much greater
mixing over the depth of the aquifer (i.e. a wider plume) than would be expected
under homogeneous conditions.
CONCLUSIONS
Outcrop information of heterogeneous sand and gravel deposits has been used for the
simulation of flow and transport of a DNAPL in the subsurface. Such detailed data
sets allow the investigation of the influence of geological structures and their
Numerical simulations of the flow and transport ofDNAPLs in naturally heterogeneous media 193
hydrogeological properties on the migration and long-term dissolution of DNAPLs.
REFERENCES
Koltermann, C. E. & Gorelick, S. M. (1996) Heterogeneity in sedimentary deposits: A review of structure-imitating,
process-imitating, and descriptive approaches.
Wat.
Resour.
Res. 32(9), 2617-2658.
Mayer, A. S. & Miller, C. T. (1996) The influence of mass transfer characteristics and porous media heterogeneity on
nonaqueous phase dissolution.
Wat.
Resour.
Res. 32(6), 1551-1567.
Unger, A. 1. A., Sudicky, E. A. & Forsyth, P. E. (1995) Mechanisms controlling air sparging for remediation of
heterogeneous formations contaminated by dense non-aqueous phase liquids.
Wat.
Resour. Res. 31(8), 1913-1925.