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《Chinese Journal of Geophysics》 2014-02
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Numerical modeling of the first-order elastic equations with the hybrid absorbing boundary condition

REN Zhi-Ming;LIU Yang;State Key Laboratory of Petroleum Resources and Prospecting,China University of Petroleum;CNPC Key Laboratory of Geophysical Prospecting,China University of Petroleum;  
Liu and Sen(2010and 2012)proposed a hybrid absorbing boundary condition(ABC)in numerical modeling of seismic wave propagation.The approach has the advantages of small computational amount,convenience to implement and nearly perfect absorption.However,their method is based on the second-order displacement-stress equations and has the stability problem.Here,we first derive two kinds of velocity-stress one way wave equations(OWWEs):the 1stHigdon OWWEs and the 2nd-Higdon OWWEs.Then,we propose the hybrid ABC based on the first-order velocity-stress equations.A transition area between the inner area and boundary is used,and the smooth transition of OWWEs and two-way wave equations is adopted to eliminate the artificial boundary reflections.In order to improve the absorption effect and stability,a new firstorder OWWE,which can absorb both P-wave and S-wave reflections,and the weighting factor related toposition of variables are applied.To validate the effectiveness,we compare our hybrid ABCs with the conventional split PML(Perfectly Matched Layer).The numerical experiments demonstrate that our method can obtain better absorption effect with smaller computational time and memory.Moreover,the hybrid 1st-Higdon ABC is more stable than the hybrid 2nd-Higdon ABC.
【Fund】: 国家“863”计划项目(2013AA064201)资助
【CateGory Index】: P631.4
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【Co-citations】
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1 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[A];[C];2012
2 Dinghui Yang,Shuqiang Wang,Zhongjie Zhang,and Jiwen Teng Department of Mathematical Sciences Tsinghua University Beijing 100084,China Institute of Geophysics Chinese Academy of Sciences Beijing 100101,China;n-Times Absorbing Boundary Conditions for Compact Finite-Difference Modeling of Acoustic and Elastic Wave Propagation in the 2D TI Medium[A];[C];2003
3 TIAN Xiao-Bo~1 WU Qing-Ju~2 ZENG Rong-Sheng~2 1 Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029,China 2 Institute of Geophysics,China Seismological Bureau,Beijing 100081,China;DELAY BOUNDARY CONDITIONS FOR ELASTIC WAVE MODELING[A];[C];2004
4 LIU Li-Nong~1 CUI Feng-Lin~2 ZHANG Jian-Feng~1 1 Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029,China 2 China University of Geosciences,Beijing 100083,China;SEISMIC MODELING WITH ONE-WAY WAVE EQUATION IN 3D COMPLEX STRUCTURES[A];[C];2004
5 LIU Yong-Xia~1,XU Chun-Ming~(1,2),NING Jun-Rui~(1,3) 1 State Key Laboratory of Lithosphere Evolution,Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029,China 2 China National Offshore Oil Corporation,Shanghai 200030,China 3 Beijing Computation Center,China National Star Petroleum Corporation,Beijing 100083,China;Comparison of acoustic propagation in several different types self-organized media[A];[C];2008
6 LIU Yong-Xia~1,XU Tao~1,ZHAO Bing~1,LIU Chun-Cheng~(1,2) 1 State Key Laboratory of Lithosphere Evolution,Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029,China 2 China National Offshore Oil Corporation,Tianjin 300452,China;Seismic sounding of anisotropic self-similar self-organized medium[A];[C];2008
7 XU Tao~1,NING Jun-Rui~(1,2),LIU Chun-Cheng~(1,3),LI Shou-Lin~(1,4) 1 State Key Laboratory of Lithosphere Evolution,Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029,China 2 Exploration and Production Research Institute,SINOPEC,Beijing 100083,China 3 China National Offshore Oil Corporation.Tian Jin,Tianjin 300452,China 4 International Exploration Corporation,China Petroleum & Chemical Corporation,Beijing 100081,China;Influence of the self-organization of the Earth interior upon the traveltime and amplitude of seismic wave[A];[C];2008
8 FENG Ying-jie,YANG Chang-chun,WU Ping (Institute of Geology and Geophysics,Chinese Academy of sciences,Beijing 100029,China);The review of the finite-difference elastic wave motion modeling[A];[C];2008
9 CHENG Bing-Jie~(1,2),LI Xiao-Fan~1,LONG Gui-Hua~1 1 Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029,China 2 Mobile Postdoctoral Center,Southwest Branch Co.,SINOPEC,Chengdu 610081,China;Seismic waves modeling by convolutional Forsyte polynomial differentiator method[A];[C];2009
10 XU Yi,ZHANG Jian-Feng Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029,China;An irregular-grid perfectly matched layer absorbing boundary for seismic wave modeling[A];[C];2009
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