Three-Dimensional Analysis of Contaminant Migration through Saturated Homogeneous Soil Media Using FDM
Publication: International Journal of Geomechanics
Volume 13, Issue 6
Abstract
Finite-difference method (FDM) is applied herein to solve the three-dimensional (3D) contaminant transport model to predict pollutant migration through clay liner or clay deposit in waste landfill. The seven pollutant species typically found in municipal and industrial wastes are considered in this study. Physical processes such as advection, dispersion, diffusion, geochemical reactions, and first-order decay are considered in the governing equation. The computer program CONTAMINATE-3D was developed to solve the 3D analysis of the contaminant migration model. A comparative study between one-dimensional and 3D analysis is presented in this paper based on the proposed methodology considering unidirectional flow and dispersion in three directions. Based on the present 3D analysis, design charts for liners and concentration profiles of contaminant species passing through liner media were developed to facilitate the designers’ work. Contaminant plumes were also developed within the aquifer considering unidirectional and uniform groundwater velocity to illustrate the effect of the vertical-plane patch source of constant concentration on the neighboring areas of the landfill site using the proposed solution technique of 3D contaminant transport model.
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References
Acar, Y. B., and Haider, L. (1990). “Transport of low-concentration contaminants in saturated earthen barriers.” J. Geotech. Engrg., 116(7), 1031–1052.
Benson, C. H., and Daniel, D. E. (1994a). “Minimum thickness of compacted soil liners: I. Stochastic models.” J. Geotech. Engrg., 120(1), 129–152.
Benson, C. H., and Daniel, D. E. (1994b). “Minimum thickness of compacted soil liners: II. Analysis and case histories.” J. Geotech. Engrg., 120(1), 153–172.
Benson, C. H., Daniel, D. E., and Boutwell, G. P. (1999). “Field performance of compacted clay liners.” J. Geotech. Geoenviron. Eng., 125(5), 390–403.
Chakraborty, R., and Ghosh, A. (2009). “Finite difference method for computation of sodium and chloride migration in porous media.” Proc., Indian Geotechnical Conf. 2009, Geotechnics in Infrastructure Development Guntur, India, Allied Publishers, New Delhi, India, 268–271.
Chakraborty, R., and Ghosh, A. (2010a). “Computation of sodium and chloride migration through layered soil media using FDM.” Proc., Indian Geotechnical Conf. 2010, GEOtrendz, I.I.T. Bombay, Mumbai, IGS, India, Macmillan Publishers India, Delhi, India, 813–816.
Chakraborty, R., and Ghosh, A. (2010b). “Finite difference method for computation of 3-D contaminant migration in soils of finite depth.” Proc., 6th Int. Congress on Environmental Geotechnics (6 ICEG)-2010, I.I.T. Delhi, Tata McGraw Hill, New Delhi, India, 1609–1614.
Chakraborty, R., and Ghosh, A. (2011). “Finite difference method for computation of 1D pollutant migration through saturated homogeneous soil media.” Int. J. Geomech., 11(1), 12–22.
Chakraborty, R., and Ghosh, A. (2012). “Analysis of 1D contaminant migration through saturated soil media underlying aquifer using FDM.” J. Hazard. Toxic Radioact. Waste, 16(3), 229–242.
El-Zein, A. (2003). “Contaminant transport in fissured soils by three-dimensional boundary elements.” Int. J. Geomech., 3(1), 75–83.
El-Zein, A. H., Carter, J. P., and Airey, D. W. (2005). “Multiple–porosity contaminant transport by finite-element method.” Int. J. Geomech., 5(1), 24–34.
Finno, R. J., and Schubert, W. R. (1986). “Clay liner compatibility in waste disposal practice.” J. Environ. Eng., 112(6), 1070–1084.
Fox, P. J., Lee, J., and Lenhart, J. L. (2011). “Coupled consolidation and contaminant transport in compressible porous media.” Int. J. Geomech., 11(2), 113–123.
Freeze, R. A., and Cherry, J. A. (1979). Groundwater, Prentice Hall, Englewood Cliffs, NJ.
Guyonnet, D., and Neville, C. (2004). “Dimensionless analysis of two analytical solutions for 3-D solute transport in groundwater.” J. Contam. Hydrol., 75(1–2), 141–153.
Jain, M. K. (1991). Numerical solution of differential equations, Wiley Eastern, New Delhi, India.
Layang, J., and Rahman, M. S. (1992). “A stochastic analysis of pollutant migration to evaluate the performance of clay liners.” Can. Geotech. J., 29(2), 309–314.
Leij, F. J., and Bradford, S. A. (1994). “3DADE: A computer program for evaluating three-dimensional equilibrium solute transport in porous media.” Research Rep. No. 134, U.S. Salinity Laboratory, Agriculture Research Service, U.S. Dept. of Agriculture, Riverside, CA, 90.
Li, L.Y., and Wu, G. (1999). “Numerical simulation of transport of four heavy metals in kaolinite clay.” J. Environ. Eng., 125(4), 314–324.
Ogata, A. (1970). “Theory of dispersion in granular medium.” Professional Paper, U.S. Geological Survey, 411-I, U.S. Dept. of the Interior, USGS, Washington, DC.
Ogata, A., and Banks, R. B. (1961). “A solution of the differential equation of longitudinal dispersion in porous media.” Professional Paper, U.S. Geological Survey, 411-A, U.S. Dept. of the Interior, USGS, Washington, DC.
Pandit, A., Panigrahi, B. K., Peyton, L., Reddi, L. N., Sayed, S. M., and Emmett, H. (1997). “Ground-water flow and contamination models: Description and evaluation.” Pract. Period. Hazard. Toxic Radioact. Waste Manage., 1(3), 127–138.
Quigley, R. M., Fernandez, F., and Rowe, R. K. (1988). “Clayey barrier assessment for impoundment of domestic waste leachate (southern Ontario) including clay-leachate compatibility by hydraulic conductivity testing.” Can. Geotech. J., 25(3), 574–581.
Rabideau, A., and Khandelwal, A. (1998). “Boundary conditions for modelling transport in vertical barriers.” J. Environ. Eng., 124(11), 1135–1139.
Reddi, L. N., and Davalos, H. (2000). “Animal waste containment in anaerobic lagoons lined with compacted clays.” J. Geotech. Geoenviron. Eng., 126(3), 257–264.
Rowe, R. K. (1988). “Eleventh Canadian Geotechnical Colloquium: Contaminant migration through groundwater: the role of modelling in the design of barriers.” Can. Geotech. J., 25(4), 778–798.
Rowe, R. K., and Booker, J. R. (1985). “1-D pollutant migration in soils of finite depth.” J. Geotech. Engrg., 111(4), 479–499.
Rowe, R. K., and Booker, J. R. (1986). “A finite layer technique for calculating three-dimensional pollutant migration in soil.” Geotechnique, 36(2), 205–214.
Rowe, R. K., Quigley, R. M., Brachman, R. W. I., and Booker, J. R. (2004). Barrier Systems for Waste Disposal, 2nd Ed., Spon, London.
Seetharam, S. C., Thomas, H. R., and Vardon, P. J. (2011). “Nonisothermal multicomponent reactive transport model for unsaturated soil.” Int. J. Geomech., 11(2), 84–89.
Sheng, D., and Smith, D. W. (2002). “2D Finite element analysis of multicomponent contaminant transport through soils.” Int. J. Geomech., 2(1), 113–134.
Tsai, W. F., Shen, C. Y., Fu, H. H., and Kou, C. C. (1999). “Study of parallel computation for ground-water solute transport.” J. Hydrol. Eng., 4(1), 49–56.
van Genuchten, M. Th. (1981). “Analytical solutions for chemical transport with simultaneous adsorption, zero-order production and first-order decay.” J. Hydrol., 49(3–4), 213–233.
Willingham, T. W., et al. (2004). “Evaluation of multidimensional transport through a field-scale compacted soil liner.” J. Geotech. Geoenviron. Eng., 130(9), 887–895.
Zheng, C., and Bennett, G. D. (2002). Applied contaminant transport modeling, Wiley, New York.
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Published In
International Journal of Geomechanics
Volume 13 • Issue 6 • December 2013
Pages: 699 - 712
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Feb 8, 2011
Accepted: Oct 3, 2012
Published online: Oct 4, 2012
Published in print: Dec 1, 2013
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