Approximate nonlinear multiparameter inversion for multicomponent single and double P-wave scattering in isotropic elastic media
Approximate nonlinear multiparameter inversion for multicomponent single and double P-wave scattering in isotropic elastic media
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各向同性弹性介质中多分量单双纵波散射的近似非线性多参数反演
DOI：
10.1093/gji/ggy106
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发表时间：
2018-07
影响因子：
2.8
通讯作者：
Mao Weijian
中科院分区：
文献类型：
--
作者：
Ouyang Wei;Mao Weijian
提出了一种各向同性弹性P波真振幅反演的渐近二次型方法。采用二阶玻恩近似和相应的高频射线理论方法，基于正演关系计算了多分量P波散射波场。在局域双散射机制下，详细计算了P波透射因子，得到了P波散射的辐射方向图是密度和Lamé模量扰动参数的二次组合。我们进一步用广义Radon变换的形式表示弹性P波散射波场。在引入经典的反投影算子后，通过求解一个二次非线性方程组得到了反问题的近似解。数值试验表明，与P波单次散射线性反演方法相比，本文的二次反演方法能够准确地反演强扰动下的扰动参数。虽然我们的反演策略只与P波散射相融合，但它可以扩展到同时包含P波和S波信息的多分量弹性数据的反演。
An asymptotic quadratic true-amplitude inversion method for isotropic elasticPwaves is proposed to invert medium parameters. The multicomponentP-wave scattered wavefield is computed based on a forward relationship using second-order Born approximation and corresponding high-frequency ray theoretical methods. Within the local double scattering mechanism, theP-wave transmission factors are elaborately calculated, which results in the radiation pattern forP-wave scattering being a quadratic combination of the density and Lamé’s moduli perturbation parameters. We further express the elasticP-wave scattered wavefield in a form of generalized Radon transform. After introducing classical backprojection operators, we obtain an approximate solution of the inverse problem by solving a quadratic nonlinear system. Numerical tests with synthetic data computed by finite-differences scheme demonstrate that our quadratic inversion can accurately invert perturbation parameters for strong perturbations, compared with theP-wave single-scattering linear inversion method. Although our inversion strategy here is only syncretized withP-wave scattering, it can be extended to invert multicomponent elastic data containing bothP- andS-wave information.
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