Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (12): 1475-1485.

• 论文 • 上一篇    

FLUID-SOLID COUPLING MATHEMATICAL MODEL OF CONTAMINANT TRANSPORT IN UNSATURATED ZONE AND ITS ASYMPTOTICAL SOLUTION

薛强1, 梁冰1, 刘晓丽1, 李宏艳2   

  1. 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
  • 收稿日期:2001-03-30 修回日期:2003-05-16 出版日期:2003-12-18 发布日期:2003-12-18
  • 通讯作者: LIU Yu-lu
  • 基金资助:
    the National Key of "Tenth Five-Year" of China(2001BA803B0404);the Natural Science Foundation of Liaoning Province of China(2001101063)

FLUID-SOLID COUPLING MATHEMATICAL MODEL OF CONTAMINANT TRANSPORT IN UNSATURATED ZONE AND ITS ASYMPTOTICAL SOLUTION

XUE Qiang1, LIANG Bing1, LIU Xiao-li1, LI Hong-yan 2   

  1. 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:2001-03-30 Revised:2003-05-16 Online:2003-12-18 Published:2003-12-18
  • Supported by:
    the National Key of "Tenth Five-Year" of China(2001BA803B0404);the Natural Science Foundation of Liaoning Province of China(2001101063)

摘要: 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.

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.

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals