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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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