Fluid-Solid Coupling Mathematical Model of Contaminant Transport in Unsaturated Zone and Its Asymptotical Solution

XUE Qiang; LIANG Bing; LIU Xiao-li; LI Hong-yan

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(12): 1309-1318

XUE Qiang, LIANG Bing, LIU Xiao-li, LI Hong-yan. Fluid-Solid Coupling Mathematical Model of Contaminant Transport in Unsaturated Zone and Its Asymptotical Solution[J]. Applied Mathematics and Mechanics, 2003, 24(12): 1309-1318.

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Fluid-Solid Coupling Mathematical Model of Contaminant Transport in Unsaturated Zone and Its Asymptotical Solution

1.
Department of Mechanics Engineering and Science, Liaoning Technical University, Fuxin, Liaoning 123000, P. R. China;
2.
Institute of Environmental Sciences, Beijing Normal University, Beijing 100875, P. R. China

Received Date: 2001-03-30
Rev Recd Date: 2003-05-16
Publish Date: 2003-12-15

Abstract

Abstract

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.

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References(15)

References

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