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指数型弥散过程的解析解

王子亭

应用数学和力学2001,Vol.22Issue(3):321-324,4.
应用数学和力学2001,Vol.22Issue(3):321-324,4.

指数型弥散过程的解析解

An Analytical Solution for an Exponential-Type Dispersion Process

王子亭1

作者信息

  • 1. 石油大学 应用数学系,
  • 折叠

摘要

Abstract

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 build, which is transformed into ODE problem with variable coefficients, and obtained analytical solution for two type boundary conditions using hypergeometric function and inversion technique. Acoording to the analytical solution and computing results the difference between the exponential dispersion and constant dispersion process is analyzed

关键词

非均质多孔介质/弥散/超几何函数/解析解

分类

数理科学

引用本文复制引用

王子亭..指数型弥散过程的解析解[J].应用数学和力学,2001,22(3):321-324,4.

应用数学和力学

OA北大核心CSCD

1000-0887

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