一种基于Kirchhoff积分的快速三维非均匀弹性介质地震波场模拟方法
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摘要
提出了一种基于Kirchhoff积分的快速地震波场数值模拟算法。在地下弹性介质的速度、反射界面的空间位置及反射率均已知的情况下,可以利用该算法计算三维非均匀弹性介质模型中的反射地震波场。讨论了算法的计算效率和计算精度。针对基于Kirchhoff积分的三维地震波场模拟计算量巨大这一问题,采用了两种尺度网格单元和限制积分区域等手段,不仅降低了计算量,节省了内存,同时还保持了足够的计算精度。利用数值模拟对算法的有效性进行了验证。
A fast wave field simulation algorithm is proposed based on Kirchhoff approximation.Reflected seismic wave field can be com- puted given that the velocity of underground medium,the spatial position of reflection interface,and the reflectivity are known.The computation efficiency and accuracy are discussed.Aiming at the problem of great computation cost in 3D seismic wave field simula- tion based on Kirchhoff approximation,we have used two-scale grid units and limited the numerical integral area on interfaces to improve the efficiency and save memory without lowering the accu- racy.Numerical examples demonstrate the effectiveness of the algorithm.
A fast wave field simulation algorithm is proposed based on Kirchhoff approximation.Reflected seismic wave field can be com- puted given that the velocity of underground medium,the spatial position of reflection interface,and the reflectivity are known.The computation efficiency and accuracy are discussed.Aiming at the problem of great computation cost in 3D seismic wave field simula- tion based on Kirchhoff approximation,we have used two-scale grid units and limited the numerical integral area on interfaces to improve the efficiency and save memory without lowering the accu- racy.Numerical examples demonstrate the effectiveness of the algorithm.
引文
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2 Farra V,Madariaga R.Seismic waveform modeling in heterogeneous media by ray perturbation theory[J]. Journal of Geophysics Research,1987,92(B3): 2697～2712
3 ViNe V,Iversen E,Gjφystdal H.Traveltime and am- plitude estimation using wavefront construction[J]. Expanded Abstracts of 54~(th) Annual EAEG Meeting, 1992,504～505
4 LambaréG,Lucio P S,Hanyga A.Two-dimensional muhivalued traveltime and amplitude maps by uniform sampling of ray field[J].Journal of Geophysics Inter- national,1996,125(2):584～598
5 Lucio P S,LambaréG,Hanyga A.3D multivalued travel time and amplitude maps[J].PAGEOPH, 1996,148(3):449～479
6 Cerveny V,Molotkov I A,Psencik I.Ray method in seismology[M].Prague:Charles University,1977. 215
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