Grid direction selection and grid size design are two important elements that need to be considered in the grid direction design in reservoir numerical simulation. Reservoir engineers normally utilize geological data ...Grid direction selection and grid size design are two important elements that need to be considered in the grid direction design in reservoir numerical simulation. Reservoir engineers normally utilize geological data (such as the distribution of fractures, low permeability zones, faults and major stress) and simulation experiences to design the grid direction of simulation model qualitatively. The research of the paper indicates that the key to determine the grid direction is to determine the principal permeability direction. Under the circumstances of few static materials, a new grid direction determination method has been developed by using field data (well location map and inter-well permeability) on the bases of Darcy’s law and tensor analysis theory. The grid direction of WZ11-7 Oilfield simulation model has been determined using four production wells and two production zones (L1 and L3) in WZ11-7-2 well group, the results are in conformity with the geological studied major stress. Therefore, this method can give insights into the numerical simulation study.展开更多
针对目前快速内点法(fast interior point method,FIPM)无法处理多快拍情况下半正定规划(semi-definite programming,SDP)问题的缺陷,提出一种基于多快拍FIPM(multiple snapshots FIPM,M-FIPM)的无网格波达方向(direction of arrival,D...针对目前快速内点法(fast interior point method,FIPM)无法处理多快拍情况下半正定规划(semi-definite programming,SDP)问题的缺陷,提出一种基于多快拍FIPM(multiple snapshots FIPM,M-FIPM)的无网格波达方向(direction of arrival,DOA)估计算法。该算法首先对天线阵列接收多快拍数据的协方差矩阵进行特征值分解,然后利用特征值和特征向量的相应加权和来重新构建符合FIPM模型的单快拍观测向量,最后再通过FIPM获得SDP问题的最优解并以此建立Toeplitz矩阵,根据该矩阵的Vandermonde分解结果便可以估计出入射信源的DOA参数。M-FIPM算法不仅保留了现有FIPM算法运算复杂度低的特点,能够将SDP问题的维度由O(M^(2))降低为O(M),同时在新单快拍观测向量的构造过程中,由于舍弃了协方差矩阵小特征值所对应的部分,因此能够有效抑制噪声对于后续DOA参数恢复过程的影响,进一步提升算法的估计精度。仿真实验验证了M-FIPM在估计精度以及运算时间方面的优越性。展开更多
文摘Grid direction selection and grid size design are two important elements that need to be considered in the grid direction design in reservoir numerical simulation. Reservoir engineers normally utilize geological data (such as the distribution of fractures, low permeability zones, faults and major stress) and simulation experiences to design the grid direction of simulation model qualitatively. The research of the paper indicates that the key to determine the grid direction is to determine the principal permeability direction. Under the circumstances of few static materials, a new grid direction determination method has been developed by using field data (well location map and inter-well permeability) on the bases of Darcy’s law and tensor analysis theory. The grid direction of WZ11-7 Oilfield simulation model has been determined using four production wells and two production zones (L1 and L3) in WZ11-7-2 well group, the results are in conformity with the geological studied major stress. Therefore, this method can give insights into the numerical simulation study.
文摘针对目前快速内点法(fast interior point method,FIPM)无法处理多快拍情况下半正定规划(semi-definite programming,SDP)问题的缺陷,提出一种基于多快拍FIPM(multiple snapshots FIPM,M-FIPM)的无网格波达方向(direction of arrival,DOA)估计算法。该算法首先对天线阵列接收多快拍数据的协方差矩阵进行特征值分解,然后利用特征值和特征向量的相应加权和来重新构建符合FIPM模型的单快拍观测向量,最后再通过FIPM获得SDP问题的最优解并以此建立Toeplitz矩阵,根据该矩阵的Vandermonde分解结果便可以估计出入射信源的DOA参数。M-FIPM算法不仅保留了现有FIPM算法运算复杂度低的特点,能够将SDP问题的维度由O(M^(2))降低为O(M),同时在新单快拍观测向量的构造过程中,由于舍弃了协方差矩阵小特征值所对应的部分,因此能够有效抑制噪声对于后续DOA参数恢复过程的影响,进一步提升算法的估计精度。仿真实验验证了M-FIPM在估计精度以及运算时间方面的优越性。
