Wavefield separation of P- and S-waves based on modified pseudo-Helmholtz decomposition operator in transverse isotropic media
刘兆顺杜启振吕文浩周世豪符力耘
LIU Zhaoshun;DU Qizhen;LYU Wenhao;ZHOU Shihao;FU Liyun
中国石油大学(华东)山东省深层油气重点实验室青岛海洋科学与技术试点国家实验室海洋矿产资源评价与探测技术功能实验室
The separation of P- and S-wave fields is a significant step in elastic reverse-time migration (ERTM), which can effectively eliminate the waveform crosstalk and image artifacts, thus improving the precision of imaging. In anisotropic media, nonstationary spatial filters or low-rank approximation methods are commonly used to separate the wavefields. However, the application of multiple Fourier transforms results in the high computation costs of the above wavefield separation methods. Based on the idea of constructing the isotropic decoupling equations of P- and S- waves with the Helmholtz operator, a modified pseudo-Helmholtz decomposition operator was proposed to eliminate the amplitude distortion. Then, the expressions of shear and dilatational waves in transverse isotropic media were solved with the method of undetermined coefficients. Meanwhile, these expressions were converted into the first-order decoupled pseudo-elastic wave equations, so as to realize the wavefield decoupling of P- and S-waves in time and space. Through the wavefield separation test of the simple model, the separated P and S-wave fields were obtained, which verified the effectiveness of the method for wavefield separation. Furthermore, the vector P- and S-waves obtained by decoupling were applied to the elastic reverse time migration, and the clear imaging results of elastic reverse-time migration were obtained with the vector dot product cross-correlation imaging conditions. Thereby, it is indicated that this method is well applicable to the complex media. Meanwhile, it could be effectively applied to the elastic reverse-time migration of VTI media.
VTI介质弹性波波场分离逆时偏移Helmholtz分解
VTI media;elastic wave;wavefield separation;reverse time migration;Helmholtz decomposition
主办单位:煤炭科学研究总院有限公司 中国煤炭学会学术期刊工作委员会