【摘要】 讨论了频率-空间域优化有限差分算子地震波场模拟方法。推导了频率-空间域双程波高阶有限差分算子,计算了9点有限差分系数;提出了一种节省内存的存储策略,对稀疏矩阵和稀疏矩阵LU分解后的矩阵采用了节省内存的存储策略,使内存空间的需求量大幅度降低,可以利用本方法进行具有生产规模的地震波正演模拟;推导了依赖于频率的最佳匹配层吸收边界条件,获得了很好的吸收效果。洼陷模型和Marmousi模型数值模拟试验表明,方法可行且有效,在节约计算机资源的同时,计算精度也能得到保证。更多还原

【Abstract】 The seismic wave field simulation method for optimizing finite difference operator in frequency-space domain is discussed.The high-order finite difference operator of two-way wave in frequency- space domain is deduced and the nine-point finite-difference coeffi- cient is calculated.Strategy for saving the inner-memory is pro- posed.The strategy greatly decreases the requirement of the inner memory for the huge sparse matrixes before and after LU decompo- sition.Seismic modeling with production scale can be performed based on this work.In addition,the perfectly matched layer ab- sorbing boundary condition depending on frequency is deduced and achieves good absorbing effect.Numerical tests on a depression model and Marmousi model demonstrate that the method is feasible and effective.The computation accuracy can guaranteed with less resource cost,更多还原