AN ANALYTICAL SOLUTION FOR AN EXPONENTIAL- TYPE DISPERSION PROCESS

Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (3): 368-371.

AN ANALYTICAL SOLUTION FOR AN EXPONENTIAL- TYPE DISPERSION PROCESS

王子亭

Department of Applied Mathematics, University of Petroleum, Dongying 257062, P. R. China

收稿日期:1999-02-12 修回日期:2000-08-20 出版日期:2001-03-18 发布日期:2001-03-18

AN ANALYTICAL SOLUTION FOR AN EXPONENTIAL- TYPE DISPERSION PROCESS

WANG Zi-ting

Department of Applied Mathematics, University of Petroleum, Dongying 257062, P. R. China

Received:1999-02-12 Revised:2000-08-20 Online:2001-03-18 Published:2001-03-18

摘要/Abstract

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.

关键词: heterogeneous porous media, dispersion, hypergeometric function, analytical solution

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 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.

Key words: heterogeneous porous media, dispersion, hypergeometric function, analytical solution

中图分类号:

O241.7

王子亭. AN ANALYTICAL SOLUTION FOR AN EXPONENTIAL- TYPE DISPERSION PROCESS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(3): 368-371.

WANG Zi-ting. AN ANALYTICAL SOLUTION FOR AN EXPONENTIAL- TYPE DISPERSION PROCESS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(3): 368-371.

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AN ANALYTICAL SOLUTION FOR AN EXPONENTIAL- TYPE DISPERSION PROCESS

AN ANALYTICAL SOLUTION FOR AN EXPONENTIAL- TYPE DISPERSION PROCESS

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