研究了电法测井不同测量方式(井—地,地—井,井—井)下点源场井中电法的三维有限差分数值模拟。采用六面体网格剖分方式来对模型进行剖分,运用一维非零元素行压缩存储模式来存储系数矩阵,减少了内存需求和计算量;采用不完全Cholesky共轭梯度(ICCG)方法来求解线性方程组,提高了求解效率;编制了相应的程序实现了井—地、地—井、井—井、倾斜井条件下的电法测井三维有限差分数值模拟。设计的算例结果验证了该算法的正确性和效率性,并且分析了各种情形下的异常特征,为进一步的反演工作打下了基础。
The electrical well logging is one of the high efficiency methods to explore deep mineral resources. The study of efficient and high?accuracy simulations is of important theoretical and practical significance. In this paper, 3D forward of electrical well logging was studied with different measurement methods (surface?borehole, borehole-surface, borehole?borehole), the one?dimensional none zero element row compressed storage method was used to store the coefficient matrix and, as a result, the memory requirements and compu?tation were reduced. Using the ICCG method, the authors solved the linear system of equations. The solving efficiency was improved. The corresponding program was developed to achieve different measuring ways ( surface?borehole, borehole - surface, borehole?borehole, tilted borehole) to study electrical well logging forward. The results of modeling have verified the correctness of the algorithm and the efficiency. The anomaly characteristics under various conditions are analyzed, which has laid the foundation for further inversion work.