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《Chinese Journal of Geophysics》 2015-04
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Multi-parameter full-waveform inversion for VTI media based on Born sensitivity kernels

LIU Yu-Zhu;WANG Guang-Yin;YANG Ji-Zhong;DONG Liang-Guo;State Key Laboratory of Marine Geology,Tongji University;CNPC CDEC Sichuan Geophysical Company;  
Anisotropic full waveform inversion(FWI)is being widely studied.However,it remains a problem for FWI to reveal all the anisotropic parameters simultaneously because of their coupling.Parameterization and inversion strategy are important solutions to such a problem.In this study,we propose a new VTI FWI method based on a pseudo-acoustic wave equation.This method uses a matrix decomposition algorithm to explicitly construct the gradient of the objective function instead of the traditional adjoint-state method.Meanwhile,a tripleround strategy is tested effective to implement the joint inversion of all the three parameters.In FWI,the least-squares objective function is usually used,and the incrementΔm =(Δv,Δε,Δδ)around a starting model m0 =(v0,ε0,δ0)can be expressed as the product of a direction vector pand a step length t under local optimization theory.The direction vector pequals the product of the transposed kernels K and the wavefield residual.Based on frequency-domain pseudo-acoustic wave equations in VTI media,we derive the corresponding sensitivity kernels for the three parameters v,εandδ.However,the kernels are too huge to store in memory.Therefore,we use a matrix decomposition algorithm,instead of the adjoint-state method,to calculate pandt by accumulation of single vector-scalar products.By this way,the huge kernelmatrix Kis not necessarily stored in memory beforehand.In order to obtain VTI parameters simultaneously,we analyze the sensitivities and find that vhas the most dominant influence on the wavefield,δis the weakest,andεis in the middle.Therefore,we use a triple-round strategy to reveal the three parameters.In the first round,we invert simultaneously for(v1,ε1,δ1)according to an initial model(v0,ε0,δ0).In the second round,we use(v1,ε0,δ0)as the initial model and invert simultaneously for(v2,ε2,δ2).In the third round,we use(v2,ε2,δ0)as the initial model and invert simultaneously for(v3,ε3,δ3).By this way,both the strong and weak parameters can be successfully constructed.In order to test the inversion capability of this method,we design a 2D VTI homogenous model with three anomalies inside.In this experiment we only invert for vandεsimultaneously,withδ being fixed as the true model becauseδhas a very weak influence on data.The dimension of this model is 4km×4km,with the discretized interval 10 m×10 m.In total 52 shots are uniformly distributed along the shot side,and 60 receivers are uniformly laid along the other three sides away from the shot side.Inversion is accomplished in the frequency domain.The starting frequency is 2Hz,and the end frequency is 11.5 Hz,with frequency interval 0.5 Hz.The starting model of vis homogeneous without anomalies.The starting model ofεis a highly smoothed version of the trueεmodel.Finally,both vandεare well revealed,while the resolution of obtainedεis not as high as vbecause of its natural weaker influence on the wavefield.We propose a new FWI scheme for VTI media based on Born kernels derived from a pseudoacoustic wave equation.A matrix decomposition algorithm is employed to calculate the directions and step length through accumulation,while without need to store the huge Fréchet kernel or the approximate Hessian beforehand.To reveal all the anisotropic parameters,we use a triple-round strategy to overcome the different influences of different parameters on the wavefield.Numerical experiment proves the effectiveness of this method and shows its potential to construct all the parameters in complex anisotropic media.
【Fund】: 国家自然科学基金(41274116;41474034);; 海洋地质国家重点实验室自主课题(MGG2013001)共同资助
【CateGory Index】: P631.4
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【Citations】
Chinese Journal Full-text Database 3 Hits
1 YANG Ji-Zhong;LIU Yu-Zhu;DONG Liang-Guo;State Key Laboratory of Marine Geology,Tongji University;;A multi-parameter full waveform inversion strategy for acoustic media with variable density[J];Chinese Journal of Geophysics;2014-02
2 LIU Yu-Zhu;XIE Chun;YANG Ji-Zhong;State Key Laboratory of Marine Geology in Tongji University;;Gaussian beam first-arrival waveform inversion based on Born wavepath[J];Chinese Journal of Geophysics;2014-09
3 LIU Yu-Zhu;WANG Guang-Yin;DONG Liang-Guo;YANG Ji-Zhong;State Key Laboratory of Marine Geology,Tongji University;CNPC CDEC Sichuan Geophysical Company;;Joint inversion of VTI parameters using nonlinear traveltime tomography[J];Chinese Journal of Geophysics;2014-10
【Co-citations】
Chinese Journal Full-text Database 8 Hits
1 Wang Yi;Dong Liang-Guo;Liu Yu-Zhu;State Key Laboratory of Marine Geology,Tongji University;;Improved hybrid iterative optimization method for seismic full waveform inversion[J];应用地球物理(英文版);2013-03
2 DONG Liang-Guo;CHI Ben-Xin;TAO Ji-Xia;LIU Yu-Zhu;State Key Laboratory of Marine Geology,Tongji University;;Objective function behavior in acoustic full-waveform inversion[J];Chinese Journal of Geophysics;2013-10
3 WEI Zhe-Feng;GAO Hong-Wei;ZHANG Jian-Feng;Key Laboratory of Petroleum Resources Research,Institute of Geology and Geophysics,Chinese Academy of Sciences;University of Chinese Academy of Sciences;;Time-domain full waveform inversion based on an irregular-grid acoustic modeling method[J];Chinese Journal of Geophysics;2014-02
4 Jiang Yan;Chen Xiaofei;Institute of Geophysics,China Earthquake Administration;School of Earth and Space Sciences,University of Science and Technology of China;;Born approximation paradox of linear finite-frequency theory[J];Acta Seismologica Sinica;2014-03
5 LIU Yu-Zhu;WANG Guang-Yin;DONG Liang-Guo;YANG Ji-Zhong;State Key Laboratory of Marine Geology,Tongji University;CNPC CDEC Sichuan Geophysical Company;;Joint inversion of VTI parameters using nonlinear traveltime tomography[J];Chinese Journal of Geophysics;2014-10
6 LI Xing-wang;BAI Chao-ying;YU Zi-chao;Department of Geophysics,College of Geology Engineering and Geomatics,Chang’an University;Institute of Computing Geophysics,Chang’an University;;Simultaneous inversion for velocity and reflector geometry based on the multi-phase fresnel volume rays[J];Progress in Geophysics;2014-05
7 ZHANG Wen-xiang;WU Guo-chen;WANG Yu-mei;School of geosciences,China University of Petroleum;Shengli Oilfield Geophysical Institute;;Time domain full waveform inversion based on eigen energy gradient equation[J];Progress in Geophysics;2015-01
8 Xie Chun;Liu Yuzhu;Dong Liangguo;Yang Jizhong;State Key Laboratory of Marine Geology,Tongji University;;First arrival tomography with finite frequency adjoint-state method based on acoustic wave equation[J];Oil Geophysical Prospecting;2015-02
China Proceedings of conference Full-text Database 1 Hits
1 WEI Zhe-Feng;GAO Hong-Wei;ZHANG Jian-Feng;Key Laboratory of Petroleum Resources Research,Institute of Geology and Geophysics,Chinese Academy of Sciences;University of Chinese Academy of Sciences;;Time-domain full waveform inversion based on an irregular-grid acoustic modeling method[A];[C];2015
【Secondary Citations】
Chinese Journal Full-text Database 9 Hits
1 LIU Yu-Zhu~1 , DONG Liang-Guo~1, LI Pei-Ming~2, WANG Yu-Wei~1, ZHU Jin-Ping~1 , MA Zai-Tian~11 School of Ocean and Earth Science in Tongji University, Shanghai 200092,China2 BGP, Zhuozhoui 072750,China;Fresnel volume tomography based on the first arrival of the seismic wave[J];Chinese Journal of Geophysics;2009-09
2 LIU Guo-Feng1,2,LIU Hong2,MENG Xiao-Hong1,YAN Hao-Fei3 1 Key Laboratory of Detection and Information Technology,Ministry of Education,China University of Geosciences, Beijing 100083,China 2 Key Laboratory of Petroleum Resource Research,Chinese Academy of Sciences,Beijing 100029,China 3 China Aero Geophysical Survey & Remote Sensing Center for Land and Resources,Beijing 100083,China;Frequency-related factors analysis in frequency domain waveform inversion[J];Chinese Journal of Geophysics;2012-04
3 DONG Liang-Guo;CHI Ben-Xin;TAO Ji-Xia;LIU Yu-Zhu;State Key Laboratory of Marine Geology,Tongji University;;Objective function behavior in acoustic full-waveform inversion[J];Chinese Journal of Geophysics;2013-10
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5 LIU Yu-Zhu;XIE Chun;YANG Ji-Zhong;State Key Laboratory of Marine Geology in Tongji University;;Gaussian beam first-arrival waveform inversion based on Born wavepath[J];Chinese Journal of Geophysics;2014-09
6 Wu Yongshuan Cao Hui Chen Guojin Wang Lihua Tang Jinlia ng Institute of Geophysical Prospecting,SINOPEC Research Institute of Petroleum Exploration and Development,Nanjing 210014,China;Crosswell seismic waveform inversion and its application.[J];Progress in Exploration Geophysics;2006-05
7 Li Guo-ping1,Yao Feng-chang1,Shi Yu-mei1,Song Jian-yong1 and Huang Wen-feng1.1.Geophysical Department of Research Institute of Petroleum Exploration and Development,CNPC,Beijing 100083,China;Pre-stack wave equation inversion and its application in frequency domain[J];Oil Geophysical Prospecting;2011-03
8 Shan Rui1,2,Bian Ai-fei1,Yu Wen-hui1 and Qu Zan1,3.1.Center for Geophysical Prospecting,China University of Geosciences(Wuhan),Wuhan,Hubei 430074,China2.Xi'an Research Institute of China Coal Technology & Engineering Group Corp,Xi'an,Shanxi 710077,China3.Institute of Geophysics and Geomatics,China University of Geosciences(Wuhan),Wuhan,Hubei 430074,Chin;Pre-stack full waveform inversion for reservoir prediction[J];Oil Geophysical Prospecting;2011-04
9 Zhao Chongjin1,Liu Yuzhu1,Yang Jizhong1.1.State Key Laboratory of Marine Geology,Tongji University,Shanghai 200092,China;Realization of Fresnel volume tomography by Gaussian beam[J];Oil Geophysical Prospecting;2012-03
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