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AVO理论公式表达形式的差异性和统一性
引用本文:潘海滨,何拥军,张勇.AVO理论公式表达形式的差异性和统一性[J].海洋地质与第四纪地质,2009(3).
作者姓名:潘海滨  何拥军  张勇
作者单位:中国地质大学工程技术学院;国土资源部海洋油气资源和环境地质重点实验室;青岛海洋地质研究所;
摘    要:Knott(诺特)方程是AVO理论公式的位移位表达形式。同一个弹性界面的边值定解问题在数学上的不同表述方式将导致Knott方程出现多种表达形式。研究表明,XOZ平面内,P和SV平面简谐波入射到弹性界面时遵循的Knott方程共有8种独立表达形式,其中纵波和横波各有4种;对于相同类型的平面简谐波入射和相同的入射介质,不同形式的Knott方程可以完全统一于相同表达形式的能量平衡方程。

关 键 词:Knott方程  弹性界面  二维平面  拉梅方程  入射方式  

DIVERSITY AND UNITY FROM EXPRESSION OF KNOTT EQUATION ABOUT THE ELASTIC INTERFACE
PAN Haibin,HE Yongjun,ZHANG Yong.DIVERSITY AND UNITY FROM EXPRESSION OF KNOTT EQUATION ABOUT THE ELASTIC INTERFACE[J].Marine Geology & Quaternary Geology,2009(3).
Authors:PAN Haibin  HE Yongjun    ZHANG Yong
Institution:1 School of Engineering and Technology;China University of Geosciences;Beijing 100083;China;2 The Key Laboratory of Marine Hydrocarbon Resources and Environment Geology;Ministry of Land and Resources;Qingdao 266071;3 Qingdao Institute of Marine Geology;China
Abstract:Knott equation is the analytical indication of AVO theory.The amplitude ratios of incidents of harmonic plane waves at a plane interface between two elastic half spaces of different properties are governed by Knott equations,which are significant in the researches of elastic wave propagation and oil explorations.It is essential to learn the differences in expressions of Knott equations caused by different mathematic definitions and restrictions of a certain boundary value problem.The results show that there...
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