Abstract: The alternating diagonal ordering(D4) scheme have been applied in Gaussian elimination for salving linear eduation systezu in reservoir mumerical simutation and requires much less storage and calculatiou time than the standard ordering. In this paper, the D4 ordering is extended to iterative nzethods, such as sucessive overrelaxation method, sucessive overrelaxation method with onedimensional correction, preconditioning conjugate gradient method etc,Comparation with the standard ordering, these methods do not inorease storage, yet improve stability.Iiurtheremore the calculation speed increases by 1.43-3.0 times. The D4 ordering shows higher efficiency and wider-applicability for Some cliffieult problems, particularly the severe anisotropic one.

摘要： 在油藏数值模拟中,交替对角线排列(D4)用于解线性代数方程组的高斯消去法,存储和计算时间两个方面都显著地少于标准排列。本文把D4排列推广应用于迭代方法,如松弛法、松弛加一维校正、预处理共轭斜量法等,较之标准排列,存贮量不增加,稳定性改善,计算速度可以加快0.4-2.0倍。对某些困难的问题,特别是严重的各向异性问题,则表现出更高的效率和更广泛的适应性。