基于算子优化的Fourier有限差分法保幅叠前深度偏移

摘要

从声波方程的单程波分解出发,对传统波动方程叠前深度偏移的传播算子和边界条件进行优化,推导出基于优化算子的保幅边界条件和3个新偏移算子.通过应用新算子和边界条件,断层和倾斜层处的成像效果有明显改善,并且叠前深度偏移的质量也得到提高.模型试算和实际资料处理结果表明,使用优化的边界条件和偏移算子,能够提高横向速度变化情况下的成像精度.%Beginning the one way splitting of the acoustical wave equation, continuation operator and boundary condition based on traditional wave equation in the prestack depth migration were derived. Then the true-amplitude boundary condition and three new migration operators with the optimized operator were gotten. Through the new operators and boundary condition, the imaging effect in fault and inclined layers and the quality of the prestack depth migration were impoved. The model calculation and real data process results show that using the optimized boundary condition and migration operators can enhance the imaging precision even if the lateral velocity is variable.