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Fluid-solid coupling mathematical model of contaminant transport in unsaturated zone and its asymptotical solution

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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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Authors and Affiliations

  1. Department of Mechanics Engineering and Science, Liaoning Technical University, 123000, Fuxin, Liaoning, P.R. China

    Xue Qiang Doctor, Liang Bing & Liu Xiao-li

  2. Institute of Environmental Sciences, Beijing Normal University, 100875, Beijing, P.R. China

    Li Hong-yan

Authors
  1. Xue Qiang Doctor
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  2. Liang Bing
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  3. Liu Xiao-li
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  4. Li Hong-yan
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Additional information

Communicated by Liu Yu-lu

Foundation items: the National Key of “Tenth Five-Year” of China (2001BA803B0404); theNatural Science Foundation of Liaoning Porvince of China (2001101063)

Biography: Xue Qiang (1976≈)

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Qiang, X., Bing, L., Xiao-li, L. et al. Fluid-solid coupling mathematical model of contaminant transport in unsaturated zone and its asymptotical solution. Appl Math Mech 24, 1475–1485 (2003). https://doi.org/10.1007/BF02435589

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  • DOI: https://doi.org/10.1007/BF02435589

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2000 Mathematics Subject Classification

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