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Baeumer et al. 2001
Baeumer, B., Benson, D.A., Meerschaert, M.M. and Wheatcraft, S.W. (2001). Subordinated advection-dispersion equation for contaminant transport. Water Resources Research 37: doi: 10.1029/2000WR900409. issn: 0043-1397.

A mathematical method called subordination broadens the applicability of the classical advection-dispersion equation for contaminant transport. In this method the time variable is randomized to represent the operational time experienced by different particles. In a highly heterogeneous aquifer the operational time captures the fractal properties of the medium. This leads to a simple, parsimonious model of contaminant transport that exhibits many of the features (heavy tails, skewness, and non-Fickian growth rate) typically seen in real aquifers. We employ a stable subordinator that derives from physical models of anomalous diffusion involving fractional derivatives. Applied to a one-dimensional approximation of the MADE-2 data set, the model shows excellent agreement. ¿ 2001 American Geophysical Union

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Abstract

Keywords
Hydrology, Groundwater transport
Journal
Water Resources Research
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American Geophysical Union
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