【摘要】 针对水平层状速度模型,本文研究了微地震P、SV波模拟的矩阵递推算法。为使算法稳定和计算结果准确可靠,讨论了防止算法失稳的具体措施和初始位移的近似计算方法。在正演算法基础上,引用单纯形的空间拓扑理念,设计了波形反演方法。在选取初始单纯形后,在迭代中不断以新的单纯形替换老的,使单纯形不断地自动缩小,直至搜索到极小点。通过反射、延伸、收缩和减小棱长4种操作方法,实现单纯形方法的最终寻优。理论模型和实际资料试验结果表明,波形反演结果的定位精度高于射线追踪走时时差反演。更多还原

【Abstract】 Using the matrix method,we set up and form a recursive algorithm for P-and SV-waves simulation.We also discuss and give the specific measures to ensure the algorithm stable and accurate for horizontal layer velocity model.On the basis forward algorithm,quoting the topology ideal of simplex,we design the waveform inversion method.The initial simplex is replaced by new ones in the iteration calculation,and getting smaller until it becomes minimized.We optimize the simplex by the four steps such as:reflection,stretching,shrinking and decreasing the length.Applications in theoretical model and real data show that the accuracy of waveform inversion by this approach is better than that of the ray tracing inversion method.更多还原