最优的Zoeppritz方程的简化综述

基于Zoeppritz方程的AVO技术是一项利用振幅随炮检距变化特征分析识别岩性和油气藏的地震勘探技术. 许多学者在不同的前提条件下对该方程进行了不同的简化,但在不同程度上都影响着反演的精度和可靠性. 最优的Zoeppritz方程是一种新的近似，其在某种程度上达到了最优，相比之下，最简化又最精确.是类比与Aki-Richards近似形式的一种拟线性近似，因此可以简化的运用到非线性反演中，为实际应用提供更准确的理论基础.

The optimal simplified Zoeppritz equation

Based on the equation of Zoeppritz the AVO technology uses the amplitude variation with offset for identifying lithology and reservoir. Many scholars have simplified this equation in different conditions, but to different extents the accuracy and reliability of the inversion are influenced. New approximations are developed that are optimal in the sense that they preserve as much accuracy as possible with as much simplicity as possible. In particular, they are expressed in a form that is pseudo-linear after the form of the Aki-Richards approximation. Thus they would be very simple to apply in an essentially exact non-linear inversion and to provide a more accurate theoretial basis for practical applications.