Application of Regularized Finite Difference Scheme Based on staggered Grids for Numerical Simulation of Fluid Flow Within Rock Samples

Physicochemical processes occurring on a pore scale largely determine the dynamics of fluids on the scale of the entire reservoir system. Therefore, study of properties of fluid at the micro level is an important problem. A solution to the problem is the foundation of the so called «digital rock technology», which arose at the nexus of computer microtomography methods and numerical experiment. Within the framework of this technology, various hydrodynamic models are used. In this work, we used Navier–Stokes equations, regularized according to the quasi-hydrodynamic method. A numerical study of the corresponding finite-difference algorithm based on staggered grids and constructed in the previous works of the authors is carried out. Results of numerical simulations of both classical flows (Poiseuille flow, flow around a cylinder of square cross-section) and flows within pore space of sandstone samples are presented.