An approximate analytical solution of Richards equation with finite boundary
نویسندگان
چکیده
*Correspondence: [email protected] 2School of Aerospace Engineering and Applied Mechanicas, Tongji University, Shanghai, China Full list of author information is available at the end of the article Abstract We apply a series expansion technique to estimate the water content distribution and front position in finite boundary conditions. We derive an approximate analytical solution of the Richards equation (RE) for the horizontal infiltration problem. The solution is suitable for arbitrary hydraulic diffusivity in water infiltration. Compared with the finite element method, two examples in power law diffusivity and van Genuchten model are shown to test the accuracy of present approximation.
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