Correspondence of max-flow to the absolute permeability of porous systems

The absolute permeability of porous media is an important parameter for various technological applications ranging from ground water hydrology to hydrocarbon recovery microfluidics. We investigate the max-flow min-cut theorem which states that maximum flow through any network exactly sum edge weights define minimum cut. hypothesize can be related a network. find correspondence between measured pore modeling (${K}_{p\phantom{\rule{0}{0ex}}n\phantom{\rule{0}{0ex}}m}$) (${K}_{e\phantom{\rule{0}{0ex}}d\phantom{\rule{0}{0ex}}m}$) and provide means identify structural regions result in significant energy dissipation.