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《Chinese Journal of Geophysics》 2018-03
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3D elastic reverse time migration based on P-and S-wave decoupling

ZHOU XiYan;CHANG Xu;WANG YiBo;YAO ZhenXing;Key Laboratory of Shale Gas and Geoengineering,Institute of Geology and Geophysics, Chinese Academy of Sciences;Institutions of Earth Science,Chinese Academy of Sciences;University of Chinese Academy of Sciences;Key Laboratory of Earth and Planetary Physics,Institute of Geology and Geophysics, Chinese Academy of Sciences;  
Elastic reverse time migration contains information of not only reflected P-wave but also converted S-waves.Converted S-waves have more information of underground,higher resolution,and wider offset.While to get clean PP and PS images,we need to separate P-and S-waves.The traditional P-and S-wave separation method is based on Helmholtz decomposition.It supposes P-waves are no rotation wavefield and S-waves are no divergence wavefield.So,P-waves are calculated by a gradient operator and S-waves calculated by a curl operator.The phase and amplitude information ofdecomposed waves are changed,because of a space difference operator.We adopt the P-and Swave decoupled method to separate P-and S-waves.We extend this decoupled method to 3 D media and compare with the Helmholtz decomposition method.We find this decoupled method can maintain the phase and amplitude information of separated P-and S-waves.By this decoupled method,the separated P-and S-waves both are vectors.We need to get scalar images from these vector wavefields if we want to use the decoupled method in elastic reverse time migration.We introduce Poynting vector of P-and S-waves to scalarize vector P-and S-waves.Then we use a traditional acoustic reverse time migration imaging condition to get scalar PP and PS images.These images can maintain phase and amplitude information,because we use P-and S-wave decoupled method to separate them.And the imaging results have no polarity inversal problem.But we find the Poynting vector of S-waves are inaccurate because the S-wave stress are interfered by P-waves.So,we use the S-wave quasi-stress tensor to calculate the S-wave Poynting vector.The S-wave quasi-stress are not interfered by P-waves.Finally,the S-wave Poynting vector calculated by S-wave quasi-stress will be more accurate.Numerical examples illustrate the validity of 3 DP-and S-wave decoupled separation method and the accuracy of elastic reverse time migration by the Poynting vector.
【Fund】: 国家自然科学基金重大项目(41390455);; 国家重点基础研究发展计划青年科学家专题(2015CB258500)联合资助
【CateGory Index】: P631.4
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【Co-citations】
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