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《Chinese Journal of Geophysics》 2017-12
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Numerical modeling of the 3-D seismic wavefield with the spectral element method in spherical coordinates

DONG Xing-Peng;YANG Ding-Hui;Department of Mathematical Sciences,Tsinghua University;  
The spectral element method has become an important tool for seismic wavefield simulation of regional and even continental scales.For regional or continental tomography,the curvature of the earth cannot be neglected,so it is more appropriate to use the spherical coordinate system to simulate the propagation of seismic waves.Starting from the weak form of elastic wave equation in spherical coordinates,the basic theory of the Legendre spectral element method in a spherical coordinate system is expounded based on variational principle of the spherical coordinate system.On the other hand,calculation of Fréchet kernel is critical to the full waveform inversion.With the help of the adjoint method,we derive the expression of 3-D Fréchet kernel.The numerical results obtained by the forward modeling,which are compared with the analytical solutions obtained by the normal mode method to verify the accuracy of the 1-D PREM model.Simultaneously,we apply this method to the North China Craton to create accurate imaging of the earth′s interior structure.Based on the 3-D global radially anisotropicmantle model S362 ANI with the 3-D crustal model Crust1.0,the numerical simulation of seismic wave propagation in North China is carried out,and compared with the data recorded by observation stations.We obtain traveltime residuals from cross correlation and the spatial distribution of full wave traveltime 3-D Fréchet kernel,which lays a foundation for the next large full-waveform inversion in the spherical coordinate system.
【Fund】: 国家自然科学基金重点项目(41230210)资助
【CateGory Index】: P315.31
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【Citations】
Chinese Journal Full-text Database 8 Hits
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【Co-citations】
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1 Su Bo;Tuo Xianguo;Liu Zhigui;Graduate School,CAEP;School of Computer Science and Technology,Southwest University of Science and Technology;Sichuan University of Science & Engineering;;Seismic wave modeling based on modified symplectic scheme and quasi-particles method[J];石油地球物理勘探;2018-01
2 LIU Ling;YIN ChangChun;LIU YunHe;QIU ChangKai;HUANG Xin;ZHANG Bo;College of Geo-exploration Science and Technology,Jilin University;;Spectral element method for 3D frequency-domain marine controlled-source electromagnetic forward modeling[J];地球物理学报;2018-02
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7 Xing Haojie;Li Hongjing;College of Civil Engineering,Nanjing Tech University;;IMPLEMENTATION OF MULTI-TRANSMITTING BOUNDARY CONDITION FOR WAVE MOTION SIMULATION BY SPECTRAL ELEMENT METHOD: TWO DIMENSION CASE[J];力学学报;2017-04
8 WANG Yong;DUAN Yanwen;WANG Ting;GUI Zhixian;GAO Gang;Key Laboratory of Exploration Technologies for Oil and Gas Resources,Ministry of Education (Yangtze University);;Numerical simulation and the wave field characteristics analysis of viscoelastic acoustic wave equation based on the nearly-analytic discrete method[J];石油物探;2017-03
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10 LAN Hai-Qiang~(1,2),LIU Jia~(1,2),BAI Zhi-Ming~1 1 State Key Laboratory of Lithospheric Evolution,Institute of Geology and Geophysics,Chinese Academy of Sciences, Beijing 100029,China 2 Graduate School of Chinese Academy of Sciences,Beijing 100049,China;Wave-field simulation in VTI media with irregular free surface[J];地球物理学报;2011-08
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