Bayesian Markov chain Monte Carlo inversion for anisotropy of PP- and PS-wave in weakly anisotropic and heterogeneous media

作者：Xinpeng Pan,Guangzhi Zhang,Xingyao Yin

摘要：A single set of vertically aligned cracks embedded in a purely isotropic background may be considered as a long-wavelength effective transversely isotropy(HTI) medium with a horizontal symmetry axis. The crack-induced HTI anisotropy can be characterized by the weakly anisotropic parameters introduced by Thomsen.The seismic scattering theory can be utilized for the inversion for the anisotropic parameters in weakly anisotropic and heterogeneous HTI media. Based on the seismic scattering theory, we first derived the linearized PP-and PS-wave reflection coefficients in terms of P-and S-wave impedances, density as well as three anisotropic parameters in HTI media. Then, we proposed a novel Bayesian Markov chain Monte Carlo inversion method of PP-and PSwave for six elastic and anisotropic parameters directly.Tests on synthetic azimuthal seismic data contaminated by random errors demonstrated that this method appears more accurate, anti-noise and stable owing to the usage of the constrained PS-wave compared with the standards inversion scheme taking only the PP-wave into account.

发文机构：School of Sciences Laboratory for Marine Mineral Resources

关键词：各向异性参数马尔可夫链反演方法蒙特卡洛贝叶斯非均匀介质PS波HTI介质Crack-induced anisotropySeismic scattering theoryHTI mediaPP- and PS-wave - Bayesian Markov chain Monte Carlo inversion

分类号： P631.443[天文地球—地质矿产勘探][天文地球—地质学]O211.62[理学—概率论与数理统计][理学—数学]