论文标题
在基质酸化中改进的darcy-Brinkman-Forchheimer框架的质量和动量保护方程的脱钩方案
A Decoupled Scheme to Solve the Mass and Momentum Conservation Equations of the Improved Darcy-Brinkman-Forchheimer Framework in Matrix Acidization
论文作者
论文摘要
由于该过程的孔隙率变化，基质酸化模拟是多孔介质流量研究的一项艰巨任务。改进的DBF框架是进行此模拟的一种模型，其数值方案将质量和动量保护方程式离散为形成压力线性线性系统。但是，由于零出现在系数矩阵的对角线中，因此直接求解器可以同时求解该线性系统以同时求解压力和速度。考虑到基质酸化模拟的大规模属性，直接求解器的求解时间不宽。因此，在这项工作中提出了一个解耦方案，以将耦合的压力线性线性系统脱成两个独立的线性系统：一个是求解压力，另一个是求解速度。两个新的线性系统都可以通过并行和迭代求解器求解，该系统可以保证可以在合理的时间段内完成大规模仿真。进行了数值实验，以证明脱钩方案的正确性及其较高的计算效率。
Matrix acidization simulation is a challenging task in the study of flows in porous media, due to the changing porosity in the procedure. The improved DBF framework is one model to do this simulation, and its numerical scheme discretises the mass and momentum conservation equations together to form a pressure-velocity linear system. However, this linear system can only be solved by direct solvers to solve for pressure and velocity simultaneously, since zeros appear in the diagonal of the coefficient matrix. Considering the large-scale attribute of matrix acidization simulation, the solving time of direct solvers is not intolerant. Thus, a decoupled scheme is proposed in this work to decouple the coupled pressure-velocity linear system into two independent linear systems: one is to solve for pressure, and the other one is to solve for velocity. Both of the new linear systems can be solved by parallel and iterative solvers, which guarantees the large-scale simulation can be finished in a reasonable time period. A numerical experiment is carried out to demonstrate the correctness of the decoupled scheme and its higher computing efficiency.
