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Abstract

We perform pore-scale simulations for low Reynoldsnumber fluid flow through periodic porous media using SPH to measure intrinsic permeabilities. The attractiveness of SPH for this particular purpose stems from the following facts: 1. SPH is a meshfree method allowing spatial discretization of arbitrary morphologies with relative ease. 2. Within a suitable algorithmic framework, computational costs scale approximately linear with DOFs. 3. Given a suitable resolution, SPH is known to produce stable results for high Reynoldsnumber flows. The latter allows investigation of non-Darcy type flows within the interial regime, i.e. where dissipation is not solely due to momentum interaction between the solid and fluid phases and permeabilities can not be thought of as a purely morphological property.