一种基于修正Cauchy 分布的高分辨率AVO 三参数反演方法

AVO 三参数波形反演可以同时获取纵、横波反射率和密度反射率3 个参数。但AVO 三参数反 演问题通常是“病态”的，而且不易得到高分辨率的反演结果。该文基于贝叶斯反演理论，结合反褶积数学 框架，提出了一种改进的基于修正Cauchy 分布的先验约束方法。从数值模拟的结果看，该方法不仅提高 了反演的稳定性，很好地恢复了反射率序列的稀疏性，而且较好地保护了弱反射体信息，能够快速得到较 可靠的高分辨率反演结果。

Three-parameter AVO inversion method based on modified Cauchy distribution

Three-parameter AVO waveform inversion can be used to estimate P-wave velocity reflectivity, S-wave velocity reflectivity and density reflectivity simultaneously. But the method is often ill posed and difficult to get a high resolution result. Based on Bayesian procedure, combined with seismic deconvolution frame, a priori constrained method based on modified Cauchy distribution is proposed. This method has a strong ability of antinoise. It can improve the stability of inversion, recover the sparsity of reflectivity sequence very well, protect information of weak reflection body excellently, and offer a result with high resolution. The simulation test shows that inversion parameters are almost perfectly retrieved quickly.