"DIGITAL CORE": DIFFUSE BOUNDARY MODELS AND MATHEMATICAL MODELING OF MICROFLOWS OF MULTIPHASE MEDIA IN POROUS MEDIA

The report considers a number of issues of implementation of the applied technology "Digital Core", the essence of which is direct numerical modeling of microflows of multiphase fluid in the pore space of rocks - oil and gas reservoirs. The technology is based on the so-called models with a diffuse boundary. They are thermodynamically consistent and allow describing the flows of multiphase fluid with direct resolution of the dynamics of phase boundaries and contact angles in a spatially uniform way. The equations used in the work are based on the density gradient theory and are a variant of the Navier-Stokes-Cahn-Hilliard type equations. The developed computational algorithms allow efficient parallelization and allow analyzing problems of representative grid dimension, including flows in voxel models of real porous media obtained by computer microtomography (results of joint research with V.A. Balashov)