Truncated Gauss-Newton full-waveform inversion of pure quasi-P waves in vertical transverse isotropic media  

作　　者：Zhi-Ming Ren Lei Wang Qian-Zong Bao 

机构地区：[1]College of Geological Engineering and Geomatics,Chang'an University,Xi'an,710064,Shaanxi,China [2]National Engineering Research Center of Offshore Oil and Gas Exploration,Beijing,100028,China

出　　处：《Petroleum Science》2024年第5期3102-3124,共23页石油科学（英文版）

基　　金：supported by the National Natural Science Foundation of China (grant No. 42174156);the Young Science and Technology Star Project of Shaanxi Province (grant No. 2023KJXX-021);the Fundamental Research Funds for the Central Universities, CHD (grant Nos. 300102263401 and 300102264204)。

摘　　要：Full-waveform inversion(FWI) uses the full information of seismic data to obtain a quantitative estimation of subsurface physical parameters. Anisotropic FWI has the potential to recover high-resolution velocity and anisotropy parameter models, which are critical for imaging the long-offset and wideazimuth data. We develop an acoustic anisotropic FWI method based on a simplified pure quasi P-wave(qP-wave) equation, which can be solved efficiently and is beneficial for the subsequent inversion.Using the inverse Hessian operator to precondition the functional gradients helps to reduce the parameter tradeoff in the multi-parameter inversion. To balance the accuracy and efficiency, we extend the truncated Gauss-Newton(TGN) method into FWI of pure qP-waves in vertical transverse isotropic(VTI) media. The inversion is performed in a nested way: a linear inner loop and a nonlinear outer loop.We derive the formulation of Hessian-vector products for pure qP-waves in VTI media based on the Lagrange multiplier method and compute the model update by solving a Gauss-Newton linear system via a matrix-free conjugate gradient method. A suitable preconditioner and the Eisenstat and Walker stopping criterion for the inner iterations are used to accelerate the convergence and avoid prohibitive computational cost. We test the proposed FWI method on several synthetic data sets. Inversion results reveal that the pure acoustic VTI FWI exhibits greater accuracy than the conventional pseudoacoustic VTI FWI. Additionally, the TGN method proves effective in mitigating the parameter crosstalk and increasing the accuracy of anisotropy parameters.

关 键 词：Full waveform inversion Anisotropy Pure quasi-P wave Gauss-Newton HESSIAN 

分 类 号：TE311[石油与天然气工程—油气田开发工程]