Calculation of matrix permeability from velocity and attenuation of ultrasonic S-wave

Abstract Previously, hydrogeologists and petroleum engineers use seepage experiments to measure permeability. This paper develops a novel method calculate matrix permeability from velocity attenuation of an ultrasonic S-wave. At first, is derived as function frequency when S-wave scans fluid-saturated rock. Substituting the into previous model gives theoretical attenuation, in which nexus parameter average distance aperture representing pores. Fitting predicted quality factor against measured counterparts yields full range. For Berea sandstone, inverted at low (0.0376 Darcy) comparable Darcy (0.075 Darcy), confirming that sandstone homogenous. Boise 0.0457 Darcy, much lower than (1 Darcy). When rocks, its are dominated by pore throats represents Unlike has fractures widely distributed grain diameters. The large pores (due diameter) preferential pathways increase far more