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A Stochastic Model for Hydrodynamic Dispersion

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Non-fickian Solute Transport in Porous Media

Abstract

We have seen in Chap. 1 that, in the derivation of advection–dispersion equation, also known as continuum transport model (Rashidi et al. 1999), the velocity fluctuations around the mean velocity enter into the calculation of solute flux at a given point through averaging theorems. The mean advective flux and the mean dispersive flux are then related to the concentration gradients through Fickian–type assumptions. These assumptions are instrumental in defining dispersivity as a measure of solute dispersion. Dispersivity is proven to be scale dependant.

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  1. Centre for Advanced, Lincoln University, Hilgendorf 308, Christchurch, New Zealand

    Don Kulasiri

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  1. Don Kulasiri
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Correspondence to Don Kulasiri .

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Kulasiri, D. (2013). A Stochastic Model for Hydrodynamic Dispersion. In: Non-fickian Solute Transport in Porous Media. Advances in Geophysical and Environmental Mechanics and Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34985-0_3

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