摘要
基于非结构PEBI离散获得的多相渗流离散格式的系数矩阵,是稀疏不规则的非对称矩阵,传统的求解方法与预处理方法对其不能有效处理。通过Orthomin迭代法和GMRES迭代法的对比研究、GMRES迭代法与不完全LU分解的组合研究,表明GMRES迭代法较Orthomin迭代法更有优势;采用松弛ILU预处理算法效果最佳,数值试井过程中出现的方程组的求解宜采用0级或者1级的填充级。
Simple deduction procedure of discretization of black oil model equation based on PEBI grid is provided.The iterating solution algorithm that fits for the solving of large-scale-sparse-irregular-nonsymmetrical matrix is studied.By comparing the efficiency and reliability of many iteration solution algorithms,we find that the GMRES method is the most efficient and reliable algorithm for solving the linear equation.And results show that,using ILU preconditioning,MILU preconditioning and relax ILU preconditioning can greatly accelerate the iteration convergence.
出处
《油气井测试》
2013年第1期6-9,12,共5页
Well Testing
基金
国家重大基础研究973项目(2011CB707305)
国家自然科学基金(10932010)
中央高校基本科研业务费专项资金资助
国家科技重大专项(2011ZX05009-006)
关键词
稀疏矩阵
非结构PEBI网格
迭代求解算法
预处理算法
sparse matrix,unstructured PEBI grid,iterative solution algorithm,preconditioning algorithm
