Transport in Porous Media Containing Residual Hydrocarbon. I: Model
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Volume 119, Issue 3
Abstract
When liquid hydrocarbons or nonaqueous phase liquids (NAPLs) become entrapped below the water table, flowing ground waters carry soluble NAPL components away from the spill zone. Transport of dissolved NAPL components is controlled by several processes including advection, dispersion, sorption onto aquifer materials, and liquid‐liquid partitioning. A model is developed to predict solute movement through heterogeneous porous media containing residual NAPL. Governing equations describe both instantaneous and time‐dependent processes including: (1) Exchange between mobile and immobile waters; (2) exchange between residual NAPL and water; and (3) exchange between aquifer solids and water. A one‐dimensional analytical Laplace‐space solution to governing equations is presented. The resulting transport model handles combinations of solute exchange activities that cannot be investigated with other analytical or numerical formulations. The model is tested during an investigation of several hypothetical systems. The investigation shows rate‐limited processes causing early solute arrival, a delay in total breakthrough, and asymmetric breakthrough curves.
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References
1.
Abriola, L. M. (1989). “Modeling multiphase migration of organic chemicals in groundwater systems: A review and assessment.” Environ. Health Perspectives, 83, 117–143.
2.
Abriola, L. M., and Pinder, G. F. (1985). “A multiphase approach to modeling of porous media contaminated by organic compounds. 1. Equation development.” Water Resour. Res., 21(1), 11–18.
3.
Augustijn, D. C. M., Gerstl, Z., and Rao, P. S. C. (1991). “Effects of sorbent matrix on sorption nonequilibrium of organic compounds.” Proc., American Chemical Society National Meetings, American Chemical Society, 31(1), 470–472.
4.
Borden, R. C., and Piwoni, M. D. (1992). “Hydrocarbon dissolution and transport: A comparison of equilibrium and kinetic models.” J. Contaminant Hydrology, 10, 309–323.
5.
Bouchard, D. C., Endfield, C. G., and Piwoni, M. D. (1989). “Transport processes involving organic chemicals.” Reactions and Movement of Organic Chemicals in Soils: Spec. Pub. 22, Soil Science Society of America, 349–371.
6.
Bouchard, D. C., Mravik, S. C., and Smith, G. B. (1990). “Benzene and naphthalene sorption on soil contaminated with high molecular weight residual hydrocarbons from unleaded gasoline.” Chemosphere, 21(8), 975–989.
7.
Brenner, H. (1962). “The diffusion model of longitudinal mixing in beds of finite length.” Chem. Eng. Sci., 17, 229–243.
8.
Brusseau, M. L. (1991). “Application of a multiprocess nonequilibrium sorption model to solute transport in a stratified porous medium.” Water Resour. Res., 27(4), 589–595.
9.
Brusseau, M. L. (1992). “Rate‐limited mass transfer and transport of organic solutes in porous media that contains immobile immiscible organic liquids.” Water Resour. Res., 28(1), 33–45.
10.
Brusseau, M. L., Jessup, R. E., and Rao, P. S. C. (1989). “Modeling the transport of solutes influenced by multiprocess nonequilibrium.” Water Resour. Res., 25(9), 1971–1988.
11.
Cameron, D. A., and Klute, A. (1988). “Convective‐dispersive solute transport with a combined equilibrium and kinetic adsorption model.” Water Resour. Res., 13, 197–199.
12.
Chatzis, I., Morrow, N. R., and Lim, H. T. (1983). “Magnitude and detailed structure of residual oil saturations.” Soc. Petrol. Eng. J., 22(2), 311–326.
13.
Chiou, C. T., Peters, L. J., and Freed, V. H. (1979). “A physical concept of soil‐water equilibria for nonionic organic compounds.” Science, 206, 831–832.
14.
Coats, K. H., and Smith, B. D. (1964). “Dead‐end pore volume and dispersion in porous media.” Soc. Pet. Engrg. J., 4, 73–84.
15.
Corapcioglu, M. Y., and Baehr, A. L. (1987). “A compositional multiphase model for groundwater contamination by petroleum products. 1. Theoretical considerations.” Water Resour. Res., 23(1), 191–200.
16.
Crittenden, J. C., Hutzler, N. J., Geyer, D. G., Oravitz, J. L., and Friedman, G. (1986). “Transport of organic compounds with saturated groundwater flow: Model development and parameter sensitivity.” Water Resour. Res., 22(3), 271–284.
17.
Cussler, E. L. (1984). Diffusion: Mass transfer in fluid systems. Cambridge University Press, Cambridge, England.
18.
Goltz, M. N., and Roberts, P. V. (1986). “Interpreting organic solute transport data from a field experiment using physical nonequilibrium models.” J. Contam. Hydrol., 1(1/2), 77–93.
19.
Hatfield, K., Burris, D., Stauffer, T. B., and Ziegler, J. (1992). “Theory and experiments on subsurface contaminant sorption systems.” J. Envir. Engrg., ASCE, 118(3), 322–337.
20.
Hatfield, K., Ziegler, J., and Burris, D. (1993). “Transport in porous media containing residual hydrocarbon. II: Experiments.” J. Envir. Engrg., ASCE, 119(3), 559–575.
21.
Hunt, J. R., Sitar, N., and Udell, K. S. (1988). “Nonaqueous phase liquid transport and cleanup: 1. Analysis of mechanisms.” Water Resour. Res., 24(8), 1247–1258.
22.
Karickhoff, S. W., and Morris, K. R. (1985). “Sorption dynamics of hydrophobic pollutants in sediment suspensions.” Envir. Toxic. Chem., 4(5), 469–479.
23.
Lake, L. W. (1989). Enhanced oil recovery. Prentice Hall, Englewood Cliffs, N.J.
24.
Lee, L. S., Rao, P. S. C., Brusseau, M. L., and Ogwada, R. A. (1988). “Non‐equilibrium sorption of organic contaminants during flow through columns of aquifer materials.” Envir. Tox. and Chem., 7, 779–793.
25.
Li, Y., and Wardlaw, N. C. (1986). “Mechanisms of nonwetting phase trapping during imbibition at slow rates.” J. Colloid and Interface Sci., 109(2), 473–486.
26.
Liu, K., Endfield, C. G., and Mravik, S. C. (1991). “Evaluation of sorption models in the simulation of naphthalene transport through saturated soils.” Groundwater, 29(5), 685–692.
27.
Oddson, J. K., Letey, J., and Weeks, L. V. (1970). “Predicted distribution of organic chemicals in solution and adsorption as a function of position and time for various chemical and soil properties.” Soil Sci. Soc. Amer. Proc., 34, 412–417.
28.
Powers, S. E., Loureiro, C. O., Abriola, L. M., and Weber, W. J. (1991). “Theoretical study of the significance of nonequilibrium dissolution of nonaqueous phase liquids in subsurface systems.” Water Resour. Res., 27(4), 463–477.
29.
Schwille, F. (1988). Dense Chlorinated Solvents in Porous and Fractured Media. Translated by J. F. Pankow, Lewis, Chelsea, Michigan.
30.
Selim, H. M. (1989). “Prediction of contaminant retention and transport in soils using kinetic multireaction models.” Envir. Health Perspect., 83, 69–75.
31.
Selim, H. M., Davidson, J. M., and Mansell, R. S. (1976). “Evaluation of a two‐site adsorption‐desorption model for describing solute transport in soil.” Proc., Comp. Sim. Conf., American Institute of Chemical Engineers, Washington, D.C., 444–448.
32.
Stehfest, H. (1970). “Numerical inversion of Laplace transforms.” Commun. A.C.M., 13, 47–49.
33.
van Genuchten, M. T. (1981). “Non‐equilibrium transport parameters from miscible displacement experiments.” Res. Rep. No. 119, U.S. Dept. of Agriculture Science and Educational Administration, U.S. Salinity Laboratory, Riverside, Calif.
34.
van Genuchten, M. T., and Wierenga, P. J. (1976). “Mass transfer studies in sorbing porous media: I. Analytical solutions.” Soil Sci. Soc. Am. J., 40, 473–480.
35.
van Genuchten, M. T., and Wierenga, P. J. (1977). “Mass transfer studies in sorbing porous media: II. Experimental evaluation with tritium .” Soil Sci. Soc. Am. J., 41(2), 272–278.
36.
Wilson, E. J., and Geankoplis, C. J. (1966). “Liquid mass transfer at very low Reynolds numbers in packed beds.” Ind. Engrg. Chem. Fund., 5(1), 9–14.
37.
Wu, S., and Geschwend, P. M. (1986). “Sorption kinetics of hydrophobic organic compounds to natural sediments and soils.” Envir. Sci. Tech., 20, 717–725.
Information & Authors
Information
Published In
Journal of Environmental Engineering
Volume 119 • Issue 3 • May 1993
Pages: 540 - 558
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Jan 20, 1992
Published online: May 1, 1993
Published in print: May 1993
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