Almost Analytic Solutions and Their Tests of the Horizontal Diffusion Equation for the Movement of Water in Unsaturated Soil

Li Hang; Liu Zhiqiang

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Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(7): 603-610

Li Hang, Liu Zhiqiang. Almost Analytic Solutions and Their Tests of the Horizontal Diffusion Equation for the Movement of Water in Unsaturated Soil[J]. Applied Mathematics and Mechanics, 1997, 18(7): 603-610.

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Almost Analytic Solutions and Their Tests of the Horizontal Diffusion Equation for the Movement of Water in Unsaturated Soil

College of Resources and Environment, South west Agricultural University, Chongqing 630716, P. R. China

Received Date: 1996-10-05
Publish Date: 1997-07-15

Abstract

Abstract

This paper discusses the analytic solutions of the diffusion equation.for the movement of water in unsaturated soil. Firstly, according to the experience relation between the diffusivity "D(θ)" and water content in soil "θ",and through variable substitution, the original diffsion equation is converted into the form easy to solve.Then, the variables separution method together with the Boltzmann transform methodis used to find out the solution of the new partial differential equation. So the analytic function of θ(x,t) is obtained, which is verified by the experiment of water flow through unsaturated soil.
- horizontal diffusion equation,
- unsaturated water flow,
- analytics

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References(3)

References

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[2]	雷志栋等,《土壤水动力学》,清华大学出版社(1988),39,92-93,267-320.
[3]	W,R.Gardner and M,S.Mayhugh,Solutions and tests of the diffusion equation for the movement of water in soil,Soil Sci,Soc,Am,Proc.,22(1958),197-201.