| ALMOST ANALYTIC SOLUTIONS AND THEIR TESTS OF THE HORIZONTAL DIFFUSION EQUATION FOR THE MOVEMENT OF WATER IN UNSATURATED SOIL |
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| 作者姓名： | 李航 刘志强 |
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| 作者单位： | College of Resources and Environment. Southwest Agricultural University. Chongqing 630716，P. R. China |
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| 摘 要： | Itisalwaysdifficulttofindthesolutionsoftheequationforthemovementofwaterinunsaturatedsoi1.Theprimar}'reasonisthatthehydraulicconductivityK(T)orthediffusivityofsoiIwaterD(o)isfunctionofwaterpotential(W)orwatercontent'(o)'Atpresent,thegeneralwaystofindthesol…
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| 收稿时间： | 5 October 1996 |
Almost analytic solutions and their tests of the horizontal diffusion equation for the movement of water in unsaturated soil |
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| 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(English Edition),1997,18(7):647-655. |
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| Authors: | Li Hang Liu Zhiqiang |
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| Institution: | (1) College of Resources and Environment, Southwest Agricultural University, 630716 Chongqing, P. R. China |
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| 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(0) and water content in soil 0, and through variable substitution, the original diffusion equation is converted into the form easy to solve. Then, the variables separation method together with the Boltzmann transform method is used to find out the solution of the new partial differential equation. So the analytic function of 0(x, t) is obtained, which is verified by the experiment of water flow through unsaturated soil. |
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| Keywords: | horizontal diffusion equation unsaturated water flow analytics |
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