A fractal Richards' equation to capture the non-Boltzmann scaling of water transport in unsaturated media
作者： HongGuang Sun , Mark M. Meerschaert , Yong Zhang , Jianting Zhu , Wen Chen
DOI: 10.1016/J.ADVWATRES.2012.11.005
关键词:
摘要: The traditional Richards’ equation implies that the wetting front in unsaturated soil follows Boltzmann scaling, with travel distance growing as square root of time. This study proposes a fractal (FRE), replacing integer-order time derivative water content by derivative, using power law ruler FRE solutions exhibit anomalous non-Boltzmann attributed to nature heterogeneous media. Several applications are presented, fitting curves from previous literature.
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