Fluid-solid coupling mathematical model of contaminant transport in unsaturated zone and its asymptotical solution
- 81 Downloads
The process of contaminant transport is a problem of multicomponent and multiphase flow in unsaturated zone. Under the presupposition that gas existence affects water transport, a coupled mathematical model of contaminant transport in unsaturated zone has been established based on fluid-solid interaction mechanics theory. The asymptotical solutions to the nonlinear coupling mathematical model were accomplished by the perturbation and integral transformation method. The distribution law of pore pressure, pore water velocity and contaminant concentration in unsaturated zone has been presented under the conditions of with coupling and without coupling gas phase. An example problem was used to provide a quantitative verification and validation of the model. The asymptotical solution was compared with Faust model solution. The comparison results show reasonable agreement between asymptotical solution and Faust solution, and the gas effect and media deformation has a large impact on the contaminant transport. The theoretical basis is provided for forecasting contaminant transport and the determination of the relationship among pressure-saturation-permeability in laboratory.
Key wordscontaminant transport unsaturated zone numerical model fluid-solid coupling interaction asymptotical solution
Chinese Library Classification numbersTU411
2000 Mathematics Subject Classification65L15 74R99 34B08
Unable to display preview. Download preview PDF.
- LI Yun-zhu, LI Bao-guo.Transport of Solute in Soil [M]. Beijing: Science Press, 1998, 113–130. (in Chinese)Google Scholar
- Parker J C. A parametric model for constitutive properties governing multiphase flow in porous media [J].Water Resource Research, 1987,23(4):619–623.Google Scholar
- Abriola L M, Pinder G F: A multiphase approach to the modeling of porous media contamination by organic compounds-2: Numerical simulation[J].Water Resource Research, 1985,21(1):19–27.Google Scholar
- Abriola L M, Pinder G F. A multiphase approach to the modeling of porous media contamination by organic compounds-1: Equation development[J].Water Resource Research, 1985,21(1):11–18.Google Scholar
- Kuppusamy T. Finite-element analysis of multiphase immiscible flow through soils [J].Water Resoruce Research, 1987,23(4):625–631.Google Scholar
- Faust C R. Transport of immiscible fluids within and below the unsaturated zone: A numerical model[J].Water Resource Research, 1985,21(4):587–596.Google Scholar
- TANG Hai-xing, ZHANG He-ping. Mathematic simulation of moisture infiltration studies considering gas pressure potential[J].Advances in Water Science, 1996,7(1):8–13. (in Chinese)Google Scholar
- Bear J.Dynamics of Fluids in Porous Media [M]. LI Jing-sheng, CHEN Chong-xi Transls. The Chinese Architecture Industry Publishing Press, 1983, 158–166. (Chinese varsicn)Google Scholar
- CHIEN Wei-zang.The Theory and Application of Singular Perturbation in Mechanics [M]. Beijing: Science Press, 1981, 186–191. (in Chinese)Google Scholar