横向各向同性地层快速各向异性反演方法

斯通利波的频散特性常用于反演横向各向同性地层的各向异性。该文重点对斯通利波频散曲线随井孔和地层弹性模量相关参数的变化规律进行了探讨，提出了频散曲线的快速插值计算方法，经过误差分析验证了插值频散计算的可行性。据此提出了通过对参数大间隔取值建立理论频散数值表，插值计算不同各向异性参数的频散曲线，对比波形频散快速反演横向各向同性地层各向异性的方法。基于实轴积分法计算的横向各向同性地层井孔声场分别进行了插值频散快速反演和传统方法反演，对比结果证实了该文提出的快速反演方法的准确高效性，并且对数据加噪后验证了快速反演方法的抗噪性。

The fast anisotropic inversion method of vertical transversely isotropic formation

The dispersion characteristic of Stoneley wave is often used to invert the anisotropy of vertical transversely isotropic (VTI) formation. This paper focuses on the variation of Stoneley wave dispersion curve with parameters related to elastic modulus of borehole and formation. A fast interpolation method for dispersion is proposed and verified by error analysis. Based on the feasibility of interpolation of dispersion curve, a fast inversion method of VTI anisotropy is proposed. In the fast inversion method, firstly establishing a theoretical dispersion table on a large scale, then calculating the interpolation dispersion of different anisotropy, finally the anisotropy can be inverted by finding the interpolation dispersion best matched the waveform dispersion. The proposed fast inversion method and traditional inversion method are both performed on the sound field data calculated by the real-axis integration method. The comparison results confirmed the accuracy and efficiency of the proposed fast inversion method, and the anti-noise ability of the proposed fast inversion method is verified on the noised data.