A mathematical model is presented that simulates the transport and reaction of any number of gaseous phase constituents (e.g. CO{sub 2}, O{sub 2}, N{sub 2}, and hydrocarbons) in unsaturated porous media. The model was developed as part of a method to determine rates of hydrocarbon biodegradation associated with natural cleansing at petroleum product spill sites. The one-dimensional model can be applied to analyze data from column experiments or from field sites where gas transport in the unsaturated zone is approximately vertical. A coupled, non-Fickian constitutive relation between fluxes and concentration gradients, together with the capability of incorporating heterogeneity with respect to model parameters, results in model applicability over a wide range of experimental and field conditions. When applied in a calibration mode, the model allows for the determination of constituent production/consumption rates as a function of the spatial coordinate. Alternatively, the model can be applied in a predictive mode to obtain the distribution of constituent concentrations and fluxes on the the basis of assumed values of model parameters and a biodegradation hypothesis. Data requirements for the model are illustrated by analyzing data from a column experiment designed to determine the aerobic degradation rate of toluene in sediments collected from amore » gasoline spill site in Galloway Township, New Jersey. 15 refs., 4 figs., 4 tabs.« less
[1]
C. F. Curtiss,et al.
Molecular Theory Of Gases And Liquids
,
1954
.
[2]
Donald I. Siegel,et al.
Crude oil in a shallow sand and gravel aquifer-III
,
1993
.
[3]
M. Yavuz Corapcioglu,et al.
A compositional multiphase model for groundwater contamination by petroleum products: 2. Numerical solution
,
1987
.
[4]
R. Reid,et al.
The Properties of Gases and Liquids
,
1977
.
[5]
David W. Ostendorf,et al.
Biodegradation of hydrocarbon vapors in the unsaturated zone
,
1991
.
[6]
J. Quirk,et al.
Permeability of porous solids
,
1961
.
[7]
Clifford J. Bruell,et al.
Application of the Stefan-Maxwell equations to determine limitations of Fick's law when modeling organic vapor transport in sand columns.
,
1990
.
[8]
J. Giddings,et al.
NEW METHOD FOR PREDICTION OF BINARY GAS-PHASE DIFFUSION COEFFICIENTS
,
1966
.