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Richmond Hill xdm models

Hydrodynamic dispersion in porous media with macroscopic disorder of parameters. We present an analytical derivation of the macroscopic hydrodynamic dispersion for flows in porous media with frozen disorder of macroscopic parameters: porosity and permeability. The parameter inhomogeneities generate inhomogeneities of filtration flow which perform fluid mixing and, on the large spacial scale, act as an additional effective diffusion eddy diffusivity or hydrodynamic dispersion. Our analytical findings are confirmed with the of direct numerical simulation for the transport of a passive scalar in inhomogeneous filtration flow.

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