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Sparse regularization inversion of Rayleigh wave multiple mode dispersion curve
Cui Yan1,2; Wang YanFei3,4,5
AbstractThe common Rayleigh wave multi-mode dispersion curve inversion only considers the fitting of data, and lacks constraints on the model. Thus, it cannot well describe the stratigraphic discontinuity. Considering the above problems, this paper studies the sparse regularization inversion method using Rayleigh wave multi-mode dispersion curves. Solving methodologies for inverse problems involve three aspects: forward simulation, inversion modeling, and numerical realization. For Rayleigh wave multi-mode dispersion curves inversion, the forward modeling of the dispersion curve is based on the classical generalized reflection-transmission coefficient method. A fast rootfinding method for the numerical calculation of the Rayleigh wave phase velocity is employed. Compared with the commonly used bisection method in literature, it achieves the optimal solution in a short time. From the concept of continuum physics, the geophysical model is best described by a piecewise smooth set of discontinuous functions. This physical discontinuity of the shear wave velocity model can be described by the sparsity of model parameters. Therefore, the L-1 norm regularization method is used to describe the sparseness of the model. This makes the inverted shear wave velocity model to be more realistic. In addition, the L-1 norm regularization can improve the resolution and enhance robustness to non-Gaussian noise. In numerical realization, an implicit iterative regularization algorithm is proposed for solving the above sparse regularization problem. The iterative operator possesses the non-expansion characteristic and hence the algorithm converges to the optimal solution of the minimization. Numerical experimental results show that the new inversion scheme has the advantages of high computational efficiency, well sparsity characterization, and strong robustness to non-Gaussian noise.
KeywordRayleigh wave Multiple mode dispersion curve Sparse regularization inversion Velocity structure
WOS Research AreaGeochemistry & Geophysics
WOS SubjectGeochemistry & Geophysics
WOS IDWOS:000769779800022
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Document Type期刊论文
Corresponding AuthorWang YanFei
Affiliation1.Shandong Univ Sci & Technol, Coll Earth Sci & Engn, Qingdao 266590, Peoples R China
2.Hebei GEO Univ, Key Lab Intelligent Detect & Equipment Undergroun, Minist Nat Resources, Shijiazhuang 050031, Hebei, Peoples R China
3.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing 00029, Peoples R China
4.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
5.Chinese Acad Sci, Innovat Acad Earth Sci, Beijing 100029, Peoples R China
Corresponding Author AffilicationInstitute of Geology and Geophysics, Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Cui Yan,Wang YanFei. Sparse regularization inversion of Rayleigh wave multiple mode dispersion curve[J]. CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,2022,65(3):1086-1095.
APA Cui Yan,&Wang YanFei.(2022).Sparse regularization inversion of Rayleigh wave multiple mode dispersion curve.CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,65(3),1086-1095.
MLA Cui Yan,et al."Sparse regularization inversion of Rayleigh wave multiple mode dispersion curve".CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION 65.3(2022):1086-1095.
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