Water Science and Engineering 2017, 10(3) 184-196 DOI:   https://doi.org/10.1016/j.wse.2017.09.001  ISSN: 1674-2370 CN: 32-1785/TV

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Solute transport
Layered soil
Unsaturated soil
Deformable media

Numerical modeling of solute transport in deformable unsaturated layered soil

Sheng Wu, Dong-sheng Jeng *

Cities Research Institute, Griffith School of Engineering, Griffith University, Southport 4222, Australia


The effect of soil stratification was studied through numerical investigation based on the coupled model of solute transport in deformable unsaturated soil. The theoretical model implied two-way coupled excess pore pressure and soil deformation based on Biot’s consolidation theory as well as a one-way coupled volatile pollutant concentration field developed from the advection-diffusion theory. Embedded in the model, the degree of saturation, fluid compressibility, self-weight of the soil matrix, porosity variance, longitudinal dispersion, and linear sorption were computed. Based on simulation results of a proposed three-layer landfill model using the finite element method, the multi-layer effects are discussed with regard to the hydraulic conductivity, shear modulus, degree of saturation, molecular diffusion coefficient, and thickness of each layer. Generally speaking, contaminants spread faster in a stratified field with a soft and highly permeable top layer; soil parameters of the top layer are more critical than the lower layers but controlling soil thicknesses will alter the results. This numerical investigation showed noticeable impacts of stratified soil properties on solute migration results, demonstrating the importance of correctly modeling layered soil instead of simply assuming the averaged properties across the soil profile.

Keywords Solute transport   Layered soil   Consolidation   Unsaturated soil   Deformable media  
Received 2017-02-03 Revised 2017-06-30 Online: 2017-07-30 
DOI: https://doi.org/10.1016/j.wse.2017.09.001
Corresponding Authors: d.jeng@griffith.edu.au (Dong-sheng Jeng).
Email: d.jeng@griffith.edu.au
About author:


Alshawabkeh, A.N., Rahbar, N., Sheahan, T.C., Tang, G.P., 2004. Volume change effects in solute transport in clay under consolidation. In: Geo Jordan 2004: Advances in Geotechnical Engineering with Emphasis on Dams, Highway Materials, and Soil Improvement. ASCE, pp.105–115. http://dx.doi.org/10.1061/40735(143)9.
Barry, D.A., 1992. Modelling contaminant transport in the subsurface: Theory and computer programs. In:  Ghadiri, H., Rose, C.W., eds., Modelling Chemical Transport in Soil: Natural and Applied Contaminants. Lewis Publishers, Boca Raton, pp. 105–144.
Bear, J., 1972. Dynamics of Fluids in Porous Media. Elsevier Scientific Publishing Company, New York.
Biot, M.A., 1941. General theory of three-dimensional consolidation. Journal of Applied Physics 12(2), 155–164. http://dx.doi.org/10.1063/1.1712886.
Boso, F., Bellin, A., Dumbser, M., 2013. Numerical simulations of solute transport in highly heterogeneous formations: A comparison of alternative numerical schemes. Advances in Water Resources 52, 178–189. http://dx.doi.org/10.1016/j.advwatres.2012.08.006.
Craig, J.R., Rabideau, A.J., 2006. Finite difference modeling of contaminant transport using analytic element flow solutions. Advances in Water Resources 29(7), 1075–1087. http://dx.doi.org/10.1016/j.advwatres.2005.08.010.
Ellsworth, T., Jury, W., 1991. A three-dimensional field study of solute transport through unsaturated, layered, porous media, 2: Characterization of vertical dispersion. Water Resources Research 27(5), 967–981. http://dx.doi.org/10.1029/91WR00190.
Fityus, S.G., Smith, D.W., Booker, J.R., 1999. Contaminant transport through an unsaturated soil liner beneath a landfill. Canadian Geotechnical Journal 36(2), 330–354. http://dx.doi.org/10.1139/t98-112.
Fox, P., 2007a. Coupled large strain consolidation and solute transport, I: Model development. Journal of Geotechnical and Geoenvironmental Engineering 133(1), 3–15. http://dx.doi.org/10.1061/(ASCE)1090-0241(2007)133:1(3).
Fox, P., 2007b. Coupled large strain consolidation and solute transport, II: Model verification and simulation results. Journal of Geotechnical and Geoenvironmental Engineering 133(1), 16–29. http://dx.doi.org/10.1061/(ASCE)1090-0241(2007)133:1(16).
Fredlund, D., Rahardjo, H., 1993. Soil Mechanics for Unsaturated Soils. Wiley, New York.
Kumar, P., Dodagoudar, G., 2010. Meshfree analysis of two-dimensional contaminant transport through unsaturated porous media using EFGM. International Journal for Numerical Methods in Biomedical Engineering 26(12), 1797–1816. http://dx.doi.org/10.1002/cnm.1266.
Leij, F.J., Van Genuchten, M.T., 1995. Approximate analytical solutions for solute transport in two-layer porous media. Transport in Porous Media 18(1), 65–85. http://dx.doi.org/10.1007/BF00620660.
Li, Y.-C., Cleall, P.J., 2011. Analytical solutions for advective dispersive solute transport in double-layered finite porous media. International Journal for Numerical and Analytical Methods in Geomechanics 35(4), 438–460. http://dx.doi.org/10.1002/nag.903.
Liu, C., Ball, W.P., Ellis, J.H., 1998. An analytical solution to the one-dimensional solute advection-dispersion equation in multi-layer porous media. Transport in porous media 30(1), 25–43. http://dx.doi.org/10.1023/A:1006596904771.
Peters, G.P., Smith, D.W., 2001. Numerical study of boundary conditions for solute transport through a porous medium. International Journal for Numerical and Analytical Methods in Geomechanics 25(7), 629–650. http://dx.doi.org/10.1002/nag.145.
Peters, G.P., Smith, D.W., 2002. Solute transport through a deforming porous medium. International Journal for Numerical and Analytical Methods in Geomechanics 26(7), 683–717. http://dx.doi.org/10.1002/nag.219.
Potter, L.J., Savvidou, C., Gibson, R.E., 1994. Consolidation and Pollutant Transport Associated with Slurried Mineral Waste Disposal. University of Cambridge, Cambridge.
Pu, H., Fox, P.J., 2016a. Consolidation-induced contaminant transport in multi-layer soils. In: Fourth Geo-China International Conference. ASCE, pp. 1–8. http://dx.doi.org/10.1061/9780784480045.001.
Pu, H., Fox, P.J., 2016b. Model for coupled large strain consolidation and solute transport in layered soils. International Journal of Geomechanics 16(2), 04015064. http://dx.doi.org/10.1061/(ASCE)GM.1943-5622.0000539.
Rolle, M., Hochstetler, D., Chiogna, G., Kitanidis, P.K., Grathwohl, P., 2012. Experimental investigation and pore-scale modeling interpretation of compound-specific transverse dispersion in porous media. Transport in Porous Media 93(3), 347–362. http://dx.doi.org/10.1007/s11242-012-9953-8.
Sharma, P., Sawant, V., Shukla, S.K., Khan, Z., 2014. Experimental and numerical simulation of contaminant transport through layered soil. International Journal of Geotechnical Engineering 8(4), 345–351. http://dx.doi.org/10.1179/1939787913Y.0000000014.
Smith, D.W., 2000. One-dimensional contaminant transport through a deforming porous medium: Theory and a solution for a quasi-steady-state problem. International Journal for Numerical and Analytical Methods in Geomechanics 24(8), 693–722. http://dx.doi.org/10.1002/1096-9853(200007)24:8<693::AID-NAG91>3.0.CO;2-E.
Wallace, G.B., Otto, W.C., 1964. Differential settlement at selfridge air force base. Journal of the Soil Mechanics and Foundations Division 90(5), 197–220.
Wang, Q., Zhan, H., 2015. On different numerical inverse Laplace methods for solute transport problems. Advances in Water Resources 75, 80–92. http://dx.doi.org/10.1016/j.advwatres.2014.11.001.
Zhang, H.J., Jeng, D.-S., Seymour, B.R., Barry, D.A., Li, L., 2012. Solute transport in partially-saturated deformable porous media: Application to a landfill clay liner.  Advances in Water Resources 40, 1–10. http://dx.doi.org/10.1016/j.advwatres.2012.01.007.
Zhang, H. J., Jeng, D.-S., Barry, D.A., Seymour, B.R., Li, L., 2013. Solute transport in nearly saturated porous media under landfill clay liners: A finite deformation approach. Journal of Hydrology  479, 189–199. http://dx.doi.org/10.1016/j.jhydrol.2012.11.063.

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