基于等效交错网格的流固耦合介质地震波模拟  

Seismic forward modeling in fluid-solid media based on equivalent staggered grid scheme

作　　者：吴建鲁[1,2] 吴国忱 王伟[3] 何京 

机构地区：[1]中国石油大学(华东),山东青岛266580 [2]海洋国家实验室海洋矿产资源评价与探测技术功能实验室,山东青岛266071 [3]中海石油(中国)有限公司天津分公司渤海石油研究院,天津塘沽300459

出　　处：《石油地球物理勘探》2018年第2期272-279,共8页Oil Geophysical Prospecting

基　　金：国家科技重大专项(2016ZX05024-001-008)资助

摘　　要：为提高流固耦合介质中地震波模拟的精度和稳定性,本文借助等效交错网格思想并充分考虑密度参数空间变化对地震波传播的影响,在流相介质和固相介质中分别采用非均质情况二阶标量声波方程、二阶纯位移弹性波方程,在流固耦合界面处采用一阶位移—应力弹性波动方程作为流相和固相之间的转换过渡层,并详细说明了过渡层与上、下介质进行时间和空间差分的耦合方法。与传统的交错网格差分方法相比,本文方法尽可能减少了方程的参数变量和内存需求,提高了计算效率。简单的双层模型和复杂Marmousi 2模型的模拟结果证明了本文方法的准确性和稳定性。In order to improve the stability and accuracy of seismic simulation for fluid-solid coupling media,the effect of density variation is taken into account based on the equivalent staggered grid.For fluid-solid coupling interface,the first-order stressvelocity equations are selected,in which the fluid domain is represented by second-order pressure equations and solid domain is computed by secondorder displacement equations,and the method for coupling the fluid and solid domain by interface is carefully illustrated.The method can save the memory of the modeling parameters and reduce the operation time of seismic modeling.Comparing with the results in fine size model condition,the accuracy of the proposed method is verified.Then the approach is applied on complex Marmousi 2 model.The results show that the proposed method is very stable and precise,in which the accuracy is proved to be the same compared with the results of standard staggered grid method.

关 键 词：地震正演 有限差分 交错网格 流固介质 非均质 

分 类 号：P631[天文地球—地质矿产勘探]