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基于Aki-Richards公式和贝叶斯原理,本文发展了利用叠前PP波和PS波资料联合反演P波速度比、S波速度比和密度比的方法。该方法假设参数之间满足正态分布,引入参数协方差矩阵来描述反演参数之间的相关性以提高反演过程的稳定性,并同时使反演的参数序列服从Cauchy分布,引入矩阵Q来描述参数序列的稀疏性以提高反演结果的分辨率。采用本文提出的方法对模型数据和实际多波资料进行反演,结果表明:本文方法正确有效;与传统的单一PP波反演相比,PP波和PS波AVO联合反演具有稳定性更好和反演精度更高等优点。
Based on the Aki-Richards formula and the Bayesian principle, this paper developed a method for the inversion of P-wave velocity ratio, S-wave velocity ratio and density ratio using the data of prestack PP wave and PS wave. The method assumes that the parameters satisfy the normal distribution and the parameter covariance matrix is introduced to describe the correlation between the inversion parameters to improve the stability of the inversion process. At the same time, the parameters of the inversion are subject to the Cauchy distribution and the matrix Q To describe the sparsity of the parameter sequence to improve the resolution of the inversion result. The proposed method is used to invert the model data and the actual multi-wave data. The results show that the method proposed in this paper is correct and effective. Compared with the conventional single-wave PP inversion, the joint inversion of PP wave and PS wave is more stable And the accuracy of the higher inversion and so on.