A decoupled scheme to solve the mass and momentum conservation equations of the improved Darcy–Brinkman–Forchheimer framework in matrix acidization

Matrix acidization simulation is a challenging task in the study of flows porous media due to changing porosity procedure. The improved Darcy–Brinkman–Forchheimer framework one model do this simulation. In framework, mass and momentum conservation equations are discretized form pressure–velocity linear system. However, coefficient matrix system has large condition number, solving belongs saddle point problem. As result that, convergence hard achieve when it with iterative solvers. It well known that scale systems large, therefore, usage solvers required. Thus, decoupled scheme proposed work decouple into two independent systems: solve for pressure, other velocity. emphasized both from elliptical partial differential equations, which guarantees fast can be achieved by A numerical experiment carried out demonstrate correctness its higher computing efficiency. After applied investigating factors cannot change optimal injected velocity dissolution pattern acidization.