The ray-based generalized Radon transform (GRT) inversion/migration strategy is studied in this paper for acoustic transversely isotropic media with a vertical symmetry axis (VTI media) represented by the P-wave normal moveout velocity, Thomsen parameter $\delta$, anelliptic parameter $\eta$, and density. The multi-parameter GRT inversion solutions for multi-shot/multi-offset acquisition geometries are derived from the single-scattering approximation of the wavefields and an elliptically anisotropic background. Results from classical two-dimensional numerical tests show the true amplitude properties of the GRT backprojection operators.

中文翻译：

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具有垂直对称轴的横向各向同性介质中的线性散射问题

本文研究了以射线垂直法向速度，Thomsen参数为代表的垂直对称轴声学横观各向同性介质（VTI介质）的基于射线的广义Radon变换（GRT）反演/迁移策略。 $\delta$，椭圆参数 $\eta$和密度。从波场的单散射近似值和椭圆各向异性背景得出了用于多发/多偏移量采集几何形状的多参数GRT反演解决方案。经典二维数值测试的结果显示了GRT反投影算子的真实幅度特性。