Dispersion and Dispersivity Tensors in Saturated Porous Media with Uniaxial Symmetry

Details Dispersion and Dispersivity Tensors in Saturated Porous Media with Uniaxial Symmetry Dispersion and Dispersivity Tensors in Saturated Porous Media with Uniaxial Symmetry

2009-04-22

arxiv.org/abs/0904.3447v1

Physics

Fluid Dynamics

11

Scientific paper

The coefficients of dispersion, D_{ij}, and the dispersivity, a_{ijkl}, appear in the expression for the flux of a solute in saturated flow through porous media. We present a detailed analysis of these tensors in an axially symmetric porous medium and show that in such a medium, the dispersivity is governed by 6 independent moduli. We present also the constraints that have to be satisfied by these moduli. We also show that at least two independent experiments are required in order to obtain the values of these coefficients for any three-dimensional porous medium domain.

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