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

作     者：薛强 梁冰 刘晓丽 李宏艳 

作者机构：Department of Mechanics Engineering and Science Liaoning Technical University Institute of Environmental Sciences Beijing Normal University 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2003年第24卷第12期

页      面：1475-1485页

核心收录：

学科分类：081401[工学-岩土工程] 08[工学] 0814[工学-土木工程] 

基　　金：theNationalKeyof"TenthFive_Year"ofChina (2 0 0 1BA80 3B0 40 4) theNaturalScienceFoundationofLiaoningProvinceofChina (2 0 0 1 1 0 1 0 63 ) 

主　　题：contaminant transport unsaturated zone numerical model fluid-solid coupling interaction asymptotical solution 

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.