Local Hydraulic Resistance in Heterogeneous Porous Media

We examine the validity of commonly used Hagen-Poiseuille model local resistance porous media using direct numerical simulations. provide theoretical arguments that highlight possible limitations this and formulate a new constitutive is based on circularity iso-pressure surfaces. compare performance both models three different three-dimensional artificial media. show improves root-mean-squared-relative error from , for HP to respectively. anticipate our approach may find broad application in network are typically build 3D images with intricate pore geometries.