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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 843An Exact Solution to the Local Fractional...

An Exact Solution to the Local Fractional Richards' Equation for Unsaturated Soils and Porous Fabrics

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Abstract:

A local fractional Richards equation is derived by considering the soil as fractal porous media, and an exact solution is obtained by a generalized Boltzmann transform and the fractional complex transform. The new theory predicts that the volumetric water content depends on the ratio (distance)^2a /(time), where a is the value of fractal dimensions of the porous soil, and its value is recommended for various soils.

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Periodical:

Advanced Materials Research (Volume 843)

Pages:

97-101

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.843.97

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Online since:

November 2013

Authors:

Zheng Biao Li, Yin Shan Yun, Hong Ying Luo

Keywords:

Fractal Porous Media, Fractional Complex Transform, Generalized Boltzmann Transform, Richards Equation

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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