A Probabilistic Formulation of the Diffusion Coefficient in Porous Media as Function of Porosity

A Probabilistic Formulation of the Diffusion Coefficient in Porous Media as Function of Porosity

Alraune Zech & Matthijs de Winter

Most porous materials are heterogeneous at microscales. Upon upscaling while ruling out additional heterogeneity at greater length scales, eventually a Representative Elementary Volume (REV) size is obtained for measuring porosity. In other words, the scatter in the measurements completely diminishes. We’ve applied a dedicated up-scaling strategy to study the same behavior for diffusive transport through porous materials and made two observations: 1) The convergence to a REV is slower for diffusive transport in comparison to porosity, and 2) the convergence towards a REV for diffusive transport approaches asymptotically a value greater than zero. It appears that the REV is never reached.

Transport in Porous Media 2022
Corresponding Authors: Matthijs de Winter

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