污染物在非饱和带内运移的流固耦合数学模型及其渐近解

薛强; 梁冰; 刘晓丽; 李宏艳

污染物在非饱和带内运移的流固耦合数学模型及其渐近解

1.
辽宁工程技术大学力学与工程科学系, 辽宁阜新 123000;
2.
北京师范大学环境科学研究所, 北京 1000875

基金项目: 国家"十五"攻关资助项目(2001BA803B0404);辽宁省自然科学技术基金资助项目(2001101063)

详细信息

作者简介:
薛强(1976- ),男,山东潍坊人,博士研究生(E-mail:milson-xq@163.com).

中图分类号: TU411
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出版历程
- 收稿日期: 2001-03-30
- 修回日期: 2003-05-16
- 刊出日期: 2003-12-15

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

摘要

摘要: 污染物在非饱和带中运移过程是多组分多相渗流问题.在考虑气相的存在对水相影响的前提下,基于流固耦合力学理论,建立了污染物在非饱和带内运移的流固耦合数学模型.对该强非线性数学模型采用摄动法及积分变换法进行拟解析求解,得出了解析表达式.对非饱和带内的孔隙压力分布、孔隙水流速以及污染物的浓度在耦合与非耦合气相条件下的分布规律进行解析计算.对该渐近解与Faust模型的计算结果进行了对比分析,结果表明:该模型解与Faust解基本吻合,且气相作用以及介质的变形对溶质的输运过程产生较大的影响,从而验证了解析表达式的正确性和实用性.这为定量化预报预测污染物在非饱和带中迁移转化和实验室确定压力-饱和度-渗透率三者之间的关系提供了可靠的理论依据.
- 污染物运移 /
- 非饱和带 /
- 数学模型 /
- 流固耦合 /
- 渐近解
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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参考文献(15)

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