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One of the foremost problems in
modeling porous media is capturing the different relevant
scales in a problem. The biggest hurdle is how to
accommodate the transition from the pore scale to the
continuum scale (which is depicted by the dashed line). At
the pore scale (and smaller), we can resolve the separate
void and solid phases in a material, and the fundamental
equations of motion, heat and mass transport, or solid
mechanics can be applied. At larger scales, a porous
material is treated as a continuum phase, which introduces
spatially averaged parameters such as porosity and
permeability.
Multiscale modeling techniques aim to integrate the various
characteristic scales that are relevant to a given
transport processes. |