The eighth-order frequency-domain NAD method and full-waveform inversion
HAN Rubing1,2, LANG Chao1
1. Key Laboratory of Deep-Earth Dynamics of Ministry of Natural Resources, Institute of Geology, Chinese Academy of Geological Sciences, Beijing 100037, China; 2. Institute of Geophysics and Geomatics, China University of Geosciences(Wuhan), Wuhan, Hubei 430074, China
Abstract：The full waveform inversion (FWI) is a high precise imaging method which uses wave equation and optimal algorithm to obtain physical parameters of underground media.The forward modeling is the basis of inversion.In order to further improve the efficiency of forward modelings,this paper proposes an eighth-order nearly-analytic discretization (NAD) method to discretize a 2D acoustic wave equation in the frequency domain.The construction of high-order NAD method is deduced in detail and a class of inexact rotated block triangular preconditioned Krylov subspace method is used to solve large-scale sparse linear algebraic equations obtained after the discretization.The wavefield simulation and numerical dispersion ana-lysis show the advantages of the proposed method in suppressing the numerical dispersion and improving the computational efficiency.Specifically the wavefield can be accurately recovered when the sampling points per wave length is less than two.This exceeds the limit of sampling rate.Finally,inversion researches are carried out with the constructed forward-modeling algorithm.The frequency domain full waveform inversion is performed in two typical layered models and the Marmousi mo-del,and the high resolution,high fidelity results are obtained.These test results and inversion error curves illustrate the effectiveness and applicability of the proposed method.
韩如冰, 郎超. 频率域八阶NAD有限差分模拟及全波形反演[J]. 石油地球物理勘探, 2019, 54(6): 1254-1266.
HAN Rubing, LANG Chao. The eighth-order frequency-domain NAD method and full-waveform inversion. Oil Geophysical Prospecting, 2019, 54(6): 1254-1266.
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