| TTI介质qP波入射精确和近似反射透射系数 |
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| 引用本文： | 梁锴,印兴耀,吴国忱.TTI介质qP波入射精确和近似反射透射系数[J].地球物理学报,2011,54(1):208-217. |
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| 作者姓名： | 梁锴 印兴耀 吴国忱 |
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| 作者单位： | 1. 中国石油大学(华东)地球资源与信息学院,青岛 266555;
2. 中国科学院地质与地球物理研究所,北京 100029 |
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| 基金项目： | 国家重点基础研究计划(973)项目，国家自然科学基金项目 |
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| 摘 要： | 介质各向异性是影响振幅随炮检距变化(AVO)的重要因素之一本文将Aki和Richards以及Rüger的方法进行推广,推导出两个弹性倾斜横向各向同性(TTI)介质密接条件下平面波反射和透射系数及其近似式.从位移波函数出发,利用位移连续和应力连续边界条件,建立了TTI介质qP波人射的拟Zoeppritz方程,求解得到精确...
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| 关 键 词： | TTI介质 反射系数 透射系数 弱各向异性近似 AVO |
| 收稿时间： | 2009-11-16 |
Exact and approximate reflection and transmission coefficient for incident qP wave in TTI media |
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| LIANG Kai,YIN Xing-Yao,WU Guo-Chen.Exact and approximate reflection and transmission coefficient for incident qP wave in TTI media[J].Chinese Journal of Geophysics,2011,54(1):208-217. |
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| Authors: | LIANG Kai YIN Xing-Yao WU Guo-Chen |
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| Institution: | 1. College of Geo-Resources and Information, China University of Petroleum (East China), Dongying 266555,China;
2. Institute of Geology and Geophysics, Chinese Academy of Sciencess,Beijing 100029 |
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| Abstract: | Anisotropy of media is one of the key factor of influence on amplitude vs offset (AVO). This paper derived the exact and approximate reflection and transmission coefficient expressions of plane waves in two elastic transversely-isotropic (TTI) media with tilted symmetry axis under welded contact condition by extending the expressions of Aki and Richards, and Rüger. Based on displacement wave fuction, we establish the quasi Zoeppritz equation for incident qP wave in TTI media using boundary condition of displacement continuation and stress continuation, and obtain the exact solutions. According to weak anisotropy approximation and the theory of media decomposition, we derive the approximate reflection and transmission coefficient for incident qP wave in TTI media. The expressions have definite geophysical meanings and bring higher accuracy than others. The P-P approximate expression indicates that the vertical transversely-isotropic (VTI) has no influence for the intercept of PP reflection coefficient (reflection coeffient when incident angle equals zero), but has influence for the gradient of PP reflection coefficient. TTI has influence for the intercept and gradient of PP reflection coefficient. For VTI meida the parameter δ controls the small-angle reflection coefficient, while ε becomes influential at larger incidence angle. But for TTI media, the parameter ε and δ are all influential at both small and larger incidence angle reflection coefficient. |
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| Keywords: | AVO |
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