黏弹性介质多波振幅补偿情形下AVO反演的敏感性分析

黏弹性介质中多波AVO反演之前，必须作一系列的振幅补偿处理，其中波前扩散和介质吸收是振幅补偿的两个主要因素。为此，本文利用黏弹性层状介质中的多波波前扩散及介质吸收校正公式，确定出频率域一个黏弹性介质的半反射界面上的多波映射矩阵，进而定量地分析了映射矩阵特征值问题的敏感性。研究结果表明，在振幅补偿情形下，利用AVO反演可以确定两个最佳线性组合，并且多波AVO中包含了衰减参数的信息，但多波AVO反演对衰减参数的敏感性较小。

Sensitivity analysis of AVO inversion in a case of multi-wave amplitude compensation in viscoelastic medium

Before multi-wave AVO inversion in viscoelastic medium, an amplitude compensation processing is needed, among which geometric spreading and absorption by medium are two major factors. So a formula of correction for multi-wave geometric spreading and absorption in viscoelastic layered medium is derived in the paper. Then, a multi-wave mapping matrix can be generalized for half-reflector in viscoelastic medium in frequency domain and the eigenvalues sensitivity of the mapping matrix can be quantitatively analyzed. The research results show that two optimal linear combinations can be determined from the multi-wave AVO inversion in the case of amplitude compensation and the information of factors of attenuation by absorption is contained in multi-wave AVO. However, the sensitivity of multi-wave AVO inversion to parameters of attenuation is small.