Contaminant Transport in Nonisothermal Fractured Porous Media
Publication: Journal of Environmental Engineering
Volume 122, Issue 5
Abstract
Alternative formulations of the analytical modeling for contaminant transport in nonisothermal fractured porous media are presented. Transient and steady heat flows are coupled with solute transport, either implicitly as natural convection incorporating the effect of thermal flux on the variation of concentration gradients, or explicitly as a “Soret effect,” where the divergence of the thermal flux acts as an additional source term affecting the change of solute concentration. The effect of solid deformation due to temperature changes and subsequent impact on the variation of solute concentrations are identified. The proposition of using function transformation within Laplace space may be of significance for numerical implementation in solving advection-dispersion equations. Two different dual-porosity conceptualizations of fractured porous media are proposed based on alternative assumptions of matrix flow. The concept of “matrix replenishment” in relation to the traditional “matrix diffusion” is presented, which may have practical significance in the evaluation of contaminant transport in fractured porous media. The solutions are applicable for modeling the process using thermal sweeping to remediate contaminated areas.
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References
1.
Aifantis, E. C., and Beskos, D. E.(1980). “Heat extraction from hot dry rocks.”Mech. Res. Comm., 7, 165–170.
2.
Bai, M., Bouhroum, A., and Elsworth, D.(1994). “Some aspects of solving advection dominated flows.”Erdöl und Kohle-Erdgas-Petrochemie vereinigt mit Brennstoff-Chemie; J. Hydrocarbon Technol., 47, 11–17.
3.
Bear, J. (1972). Dynamics of fluid in porous media. American Elsevier, New York, N.Y.
4.
Bear, J., Tsang, C.-F., and De Marsily G., eds. (1993). Flow and contaminant transport in fractured rock. Academic Press, Inc., San Diego, Calif.
5.
Bibby, R.(1981). “Mass transport of solutes in dual-porosity media.”Water Resour. Res., 17(4), 1075–1081.
6.
Birkhölzer, J., and Rouvé, G. (1991). “Solute transport in fractured porous rock.”7th Int. Congr. on Rock Mech., Herausgeber, editor, Aachen, Germany, 7–10.
7.
Coats, K. H., and Smith, B. D.(1964). “Dead-end pore volume and dispersion in porous media.”SPEJ, 4, 73–84.
8.
De Groot, S. R. (1963). “Thermodynamics of irreversible processes.” North-Holland Pub. Co., Amsterdam, The Netherlands.
9.
Goodier, J. N.(1936). “The thermal stresses in a strip.”Phys., 7, 156.
10.
Guymon, G. L.(1970). “A finite element solution of the one-dimensional diffusion-convection equation.”Water Resour. Res., 6(1), 204–210.
11.
Huyakorn, P. S., Lester, B. H., and Mercer, J. W.(1983). “An efficient finite element technique for modeling transport in fractured porous media, 1. single-species transport.”Water Resour. Res., 19(3), 841–854.
12.
Kaviany, M. (1991). Principles of heat transfer in porous media. Springer-Verlag, New York, N.Y.
13.
Rowe, R. K., and Booker, J. R.(1989). “A semi-analytic model for contaminant migration in a regular twoor three-dimensional fractured network: conservative contaminants.”Int. J. Numer. Anal. Meth. Geomech., 13, 531–550.
14.
Shapiro, A. M. (1987). “Transport equations for fractured porous media.”Advances in transport phenomena in porous media, J. Bear and M. Y. Corapcioglu, eds., Martinus Nijhoff Publ., Dordrecht, The Netherlands, 405–471.
15.
Stehfest, H.(1970). “Numerical inversion of Laplace transforms algorithm 368.”Commun. Assoc. Comp. Mach., 13(1), 47–49.
16.
Sudicky, E. A.(1989). “The Laplace transform Galerkin technique: a time-continuous finite element theory and application to mass transport in groundwater.”Water Resour. Res., 25(8), 1833–1846.
17.
Tang, D. H., Frind, E. O., and Sudicky, E. A.(1981). “Contaminant transport in fractured porous media: analytical solution for a single fracture.”Water Resour. Res., 17(3), 555–564.
18.
Tsang, C.-F. (1993). “Tracer transport in fracture systems.”Flow and contaminant transport in fractured rock, J. Bear, C.-F. Tsang, and G. De Marsily, eds., Academic Press, Inc., San Diego, Calif., 237–266.
19.
Warren, J. E., and Root, P. J.(1963). “The Behavior of naturally fractured reservoirs.”J. Soc. Pet. Engrs., 3, 245–255.
20.
Weber, H. C., and Meissner, H. P. (1957). “Thermodynamics for chemical engineers.” John Wiley and Sons, Inc., New York, 2nd Ed., 507 pp.
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Copyright © 1996 American Society of Civil Engineers.
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Published online: May 1, 1996
Published in print: May 1996
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