An analytical solution for an exponential type dispersion process

被引：1

作者：

Wang, ZT ^{[1
]}

机构：

[1] Univ Petr, Dept Math Appl, Dongying 257062, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2001年 / 22卷 / 03期

关键词：

heterogeneous porous media; dispersion; hypergeometric function; analytical solution;

D O I：

10.1023/A:1015574907758

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The dispersion process in heterogeneous porous media is distance-dependent, which results from multi-scaling property of heterogeneous structure. An analytical model describing the dispersion with an exponential dispersion function is built, which is transformed into ODE problem with variable coefficients, and obtained analytical solution for two type boundary conditions using hypergeometric function and inversion technique. According to the analytical solution and computing results the difference between the exponential dispersion and constant dispersion process is analyzed

引用

页码：368 / 371

页数：4