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Matrix acidization simulation is a challenging task in the study of flows inporous media, due to the changing porosity in the procedure. The improved DBFframework is one model to do this simulation, and its numerical schemediscretises the mass and momentum conservation equations together to form apressure-velocity linear system. However, this linear system can only be solvedby direct solvers to solve for pressure and velocity simultaneously, sincezeros appear in the diagonal of the coefficient matrix. Considering thelarge-scale attribute of matrix acidization simulation, the solving time ofdirect solvers is not intolerant. Thus, a decoupled scheme is proposed in thiswork to decouple the coupled pressure-velocity linear system into twoindependent linear systems: one is to solve for pressure, and the other one isto solve for velocity. Both of the new linear systems can be solved by paralleland iterative solvers, which guarantees the large-scale simulation can befinished in a reasonable time period. A numerical experiment is carried out todemonstrate the correctness of the decoupled scheme and its higher computingefficiency.

A Decoupled Scheme to Solve the Mass and Momentum Conservation Equations of the Improved Darcy-Brinkman-Forchheimer Framework in Matrix Acidization