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《Chinese Journal of Geophysics》 2018-03

## An optimal method for frequency-domain finite-difference solution of 3D scalar wave equation

FAN Na;CHENG JingWang;QIN Lei;ZHAO LianFeng;XIE XiaoBi;YAO ZhenXing;Key Laboratory of Exploration Technologies for Oil and Gas Resources(Yangtze University) , Ministry of Education;Hubei Cooperative Innovation Center of Unconventional Oil and Gas;School of Geophysics and Oil Resources,Yangtze University;Key Laboratory of Exploration Technologies for Oil and Gas Resources (Yangtze University), Ministry of Education;Sinopec Geophysical Corporation Huadong Branch;Key Laboratory of Earth and Planetary Physics,Institute of Geology and Geophysics, Chinese Academy of Sciences;Institute of Geophysics and Planetary Physics,University of California at Santa Cruz;
To increase the computational accuracy and efficiency of frequency-domain finitedifference(FD)modeling method,the optimal FD scheme with rotated coordinate system were widely used.It requires the same spatial sampling intervals in horizontal and vertical directions,which limited their applications in practice.Later the average-derivative method(ADM)wasproposed to work with the rectangular-grid modeling.However,these frequency-domain FD operators,unlike the time-domain FD operators of which the coefficients can be determined by a general optimal method even with different stencils,usually have their own forms of differential equations with different distributions of optimized coefficients.In this paper,we develop ageneral optimal method for frequency-domain FD modeling based on 3 Dacoustic wave equation.For a given finite-difference stencil,this method can generate the dispersion equation and optimize the expansion coefficients.The advantage of this method is that the optimized coefficients correspond to the grid nodes of FD stencil and it is very easy to expand to other FD schemes.We computed the optimized coefficients of 27-and 7-point schemes with different aspect ratios.Numerical experiments demonstrate that our optimal 27-point scheme have the same accuracy with ADM 27-point scheme and our optimal 7-point scheme have higher accuracy than the classical 7-point scheme.
【Fund】： 国家自然科学基金(41604037 41504102 41674107 41504077);; 油气资源与勘探技术教育部重点实验室(长江大学)开放基金(K2016-02)联合资助
【CateGory Index】： P631.4
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 【Citations】
 Chinese Journal Full-text Database 3 Hits
 1 ZHANG Heng;LIU Hong;LIU Lu;JIN Wei-Jun;SHI Xiao-Dong;Key Laboratory of Petroleum Resources Research Institute of Geology and Geophysics, Chinese Academy of Sciences;University of Chinese Academy of Sciences;;Frequency domain acoustic equation high-order modeling based on an average-derivative method[J];地球物理学报;2014-05 2 LIU Lu1,2,LIU Hong1*,LIU Hong-Wei1 1 Key Laboratory of Petroleum Resources Research,Institute of Geology and Geophysics, Chinese Academy of Sciences,Beijing 100029,China 2 University of Chinese Academy of Sciences,Beijing 100049,China;Optimal 15-point finite difference forward modeling in frequency-space domain[J];地球物理学报;2013-02 3 CAO Shu-Hong1,2,CHEN Jing-Bo1 1 Key Laboratory of Petroleum Resources Research,Institute of Geology and Geophysics, Chinese Academy of Sciences,Beijing 100029,China 2 Graduate University of Chinese Academy of Sciences,Beijing 100049,China;A 17-point scheme and its numerical implementation for high-accuracy modeling of frequency-domain acoustic equation[J];地球物理学报;2012-10
 【Co-citations】
 Chinese Journal Full-text Database 10 Hits
 1 FAN Na;CHENG JingWang;QIN Lei;ZHAO LianFeng;XIE XiaoBi;YAO ZhenXing;Key Laboratory of Exploration Technologies for Oil and Gas Resources(Yangtze University) , Ministry of Education;Hubei Cooperative Innovation Center of Unconventional Oil and Gas;School of Geophysics and Oil Resources,Yangtze University;Key Laboratory of Exploration Technologies for Oil and Gas Resources (Yangtze University), Ministry of Education;Sinopec Geophysical Corporation Huadong Branch;Key Laboratory of Earth and Planetary Physics,Institute of Geology and Geophysics, Chinese Academy of Sciences;Institute of Geophysics and Planetary Physics,University of California at Santa Cruz;;An optimal method for frequency-domain finite-difference solution of 3D scalar wave equation[J];地球物理学报;2018-03 2 LI ChangCheng;ZHANG MeiGen;Key Laboratory of Petroleum Resources Research,Institute of Geology and Geophysics, Chinese Academy of sciences;Institutions of EarthSciences,Chinese Academy of Sciences;University of Chinese Academy of Sciences;;Optimal double 9-point scheme scale wave equation simulation based on the generalized rotation method[J];地球物理学报;2018-03 3 Dong Shiqi;Han Liguo;Hu Yong;Luo Yuqin;College of Geo-exploration Science and Technology,Jilin University;;Acoustic equation high-accuracy modeling in the frequency domain based on MCPML absorbing boundary[J];石油地球物理勘探;2018-01 4 Xu Mengjie;Key Laboratory of Marine Mineral Resources,Ministry of Land and Resources;Guangzhou Marine Geological Survey,China Geology Survey;;The Forward Iterative Method of Finite Difference in Frequency-space Domain[J];工程地球物理学报;2017-06 5 LI Canping;GOU Limin;YOU Jiachun;Laboratory of Ocean Remote Sensing and Information Technology,Guangdong Ocean University;School of Ocean Sciences,China University of Geosciences (Beijing);School of Geophysics and Information Technology,China University of Geosciences (Beijing);;Numerical Simulation of Bubble Plumes and an Analysis of Their Seismic Attributes[J];Journal of Ocean University of China;2017-02 6 LI Mei-juan;WU Guo-chen;CHEN Hao;School of Geosciences,China University of Petroleum;;Frequency domain scalar wave forward modeling method based on an average-derivative method[J];地球物理学进展;2016-06 7 HU Zi-Duo;HE Zhen-Hua;LIU Wei;WANG Yu-Chao;HAN Ling-He;WANG Shu-Jiang;YANG Zhe;State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation,Chengdu University of Technology;Research Institute of Petroleum Exploration & Development-Northwest,PetroChina;;Scalar wave equation modeling using the mixed-grid finite-difference method in the time-space domain[J];地球物理学报;2016-10 8 LI Yixin;TAN Handong;School of Geophysics and Information Technology China University of Geosciences;Geophysical prospecting exploration institute of Liaoning province;;Seismic frequency-domain 2D forward modeling based on parallel algorithms[J];物探化探计算技术;2017-01 9 WANG Xiao-qing;TAN Han-dong;XU Zi-long;Sinopec Geophysical Research Institute;School of Geophysics and Information Technology, China University of Geosciences (Beijing);;The Application of CPU/GPU Collaborative Computing in the Frequency Domain 2D Full Waveform Inversion[J];CT理论与应用研究;2016-01 10 WANG Qing;ZHANG Jian-zhong;HUANG Zhong-lai;Key Lab of Submarine Geosciences and Prospecting Techniques,Ministry of Education;College of Marine Geosciences,Ocean University of China;;Progress in the time-domain full waveform inversion[J];地球物理学进展;2015-06
 【Secondary Citations】
 Chinese Journal Full-text Database 7 Hits
 1 LIU Lu1,2,LIU Hong1*,ZHANG Heng1,2,CUI Yong-Fu3,LI Fei3, DUAN Wen-Sheng3,PENG Geng-Xin3 1 Key Laboratory of Petroleum Resources Research,Institute of Geology and Geophysics,Chinese Academy of Sciences, Beijing 100029,China 2 University of Chinese Academy of Sciences,Beijing 100049,China 3 Research Institute of Exploration and Development,Tarim Oilfiled Company,PetroChina,Korla,Xinjiang 841000,China;Full waveform inversion based on modified quasi-Newton equation[J];地球物理学报;2013-07 2 LIU Lu1,2,LIU Hong1*,LIU Hong-Wei1 1 Key Laboratory of Petroleum Resources Research,Institute of Geology and Geophysics, Chinese Academy of Sciences,Beijing 100029,China 2 University of Chinese Academy of Sciences,Beijing 100049,China;Optimal 15-point finite difference forward modeling in frequency-space domain[J];地球物理学报;2013-02 3 CAO Shu-Hong1,2,CHEN Jing-Bo1 1 Key Laboratory of Petroleum Resources Research,Institute of Geology and Geophysics, Chinese Academy of Sciences,Beijing 100029,China 2 Graduate University of Chinese Academy of Sciences,Beijing 100049,China;A 17-point scheme and its numerical implementation for high-accuracy modeling of frequency-domain acoustic equation[J];地球物理学报;2012-10 4 BIAN Ai-fei~(1,2),YU Wen-hui~1,ZHOU Hua-wei~2(1.Center for Geophysical prospecting,China University of Geosciences (Wuhan),Wuhan 430074,China;2.Tomographic Earth System Imaging Center,China University of Geosciences (Wuhan),Wuhan 430074,China);Progress in the frequency-domain full waveform inversion method[J];地球物理学进展;2010-03 5 Ren Haoran Wang Huazhong Gong Ting State Key Laboratory of Marine Geology,School of Ocean and Earth Science,Tongji University,Shanghai 200092,China;Seismic modeling of scalar seismic wave propagation with finitedifference scheme in frequency-space domain.[J];石油物探;2009-01 6 WU Guo-chen,LUO Cai-ming,LIANG KaiCollege of GeoResource and Information,China University of Petroleum,Dongying,Shandong257061,China;Frequency-Space Domain Finite Difference Numerical Simulation of Elastic Wave in TTI Media[J];吉林大学学报(地球科学版);2007-05 7 YIN Wen 1, YIN Xing-Yao 1, WU Guo-Chen2, LIANG Kai11 College of Earth Resource and Information, University of Petroleum, Shandong Dongying 257061, China2 Laboratory of Marine Geology under Education Ministry, Tongji University, Shanghai 200092, China;The method of finite difference of high precision elastic wave equations in the frequency domain and wave-field simulation[J];地球物理学报;2006-02
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