Open AccessVelocity modeling based on Rayleigh wave dispersion curve and sparse optimization inversion
Author(s) -
Yan Cui,
Yanfei Wang
Publication year - 2021
Publication title -
inverse problems and imaging
Language(s) - English
Resource type - Journals
eISSN - 1930-8345
pISSN - 1930-8337
DOI - 10.3934/ipi.2021031
Subject(s) - rayleigh wave , inversion (geology) , rayleigh scattering , dispersion (optics) , computer science , curve fitting , algorithm , surface wave , mathematical analysis , mathematics , geology , physics , optics , seismology , telecommunications , machine learning , tectonics
This paper studies the S wave velocity modeling based on the Rayleigh wave dispersion curve inversion. We first discuss the forward simulation, and present a fast root-finding method with cubic-order of convergence speed to obtain the Rayleigh wave dispersion curve. With the Rayleigh wave dispersion curve as the observation data, and considering the prior geological anomalies structural information, we establish a sparse constraint regularization model, and propose an iterative solution method to solve for the S wave velocity. Experimental tests are performed both on the theoretical models and on the field data. It indicates from the experimental results that our new inversion scheme possesses the characteristics of easy calculation, high computational efficiency and high precision for model characterization.