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《Chinese Journal of Geophysics》 2012-10
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Calculation of phase and group velocities in an arbitrary anisotropic medium(AAM)

LI Fang1,CAO Si-Yuan1,YAO Jian2 1 State Key Laboratory of Petroleum Resource and Prospecting(China University of Petroleum,Beijing),Beijing 102249,China 2 Exploration and Development Research Institute,CNOOC Tianjin Company,Tianjin 300452,China  
Both phase velocity and group velocity are the essential vectors which could mirror the seismic wave propagation properties of anisotropic media.The shear wave splitting and triplication of group velocity are notable and specific phenomena which often complicate the seismic wave field particularly for anisotropic media with a lower symmetric system.In this paper,we propose an available workflow of calculation on phase(group) velocity in an arbitrary anisotropy medium(AAM).There are two existing obstacles we should focus on,which are shear wave singularity and distinguish of two shear wave.The way to overcome those difficulties is finding more constrain conditions to make the solutions meaningful and continuous.Three examples presented in this paper show that the workflow works well in AAM,however,more attention should be paid to the area around shear wave singularity,particularly for higher-symmetric-system anisotropic media.
【Fund】: 国家自然科学基金(41140033)资助
【CateGory Index】: P631.4
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