Review of modern models of porous media for numerical simulation of fluid flows

The current models of porous media for numerical simulation of multiphase fluid flows are reviewed and classified herein. Methods for building these models and problems of creating the same are examined, and examples where the models were used are given. This review has been made as part of hydrocarbon deposit hydrodynamic simulation problems arising in the oil-and-gas producing industry. The approaches and possibilities for creating a digital twin of actual core have been evaluated. It is noted that the porous medium models used cannot presently meet the industry demands to the full and the reasons behind that have been analyzed. A conclusion was made that an in-depth fundamental study on processes and phenomena affecting the multiphase flow structure at the micro-scale is required to take them into account properly in the description of the flow at a deposit scale.