TI介质弹性波场伪谱法数值模拟
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摘要
地震波场模拟中的有限差分法和有限元法是使用广泛也较为成功的方法,但是它们还是或多或少地存在一些缺陷,如为了提高计算精度而使运算效率降低、在泊松比变化大的界面存在稳定性问题等。伪谱法是一种模拟精度和计算效率都比较高的地震波场数值模拟方法,首先给出TI介质中的波动方程,然后推导了TI介质的伪谱法计算公式,最后对一些介质模型进行了模拟试算。验证了方法的有效性和TI介质本身的一些特性。
In seismic wave field simulation,finite difference method and finite element method are both widely used and successful methods.However,there are some defects more or less in those two methods,such as,the problems in decreasing the operation efficiency to improve calculation accuracy,and also stability problems in boundary of great variation in Poisson ratio.Pseudo-spectral method is a numerical simulation method for seismic wave field.It is with high simulation accuracy,and high calculation efficiency.The wave equation in TI medium is given first,then pseudo-spectral method formulae of TI medium is derived,and finally simulated test computation has done on some medium models.Pseudo-spectral method validates the effectiveness of the method and the specialty of TI medium itself.
In seismic wave field simulation,finite difference method and finite element method are both widely used and successful methods.However,there are some defects more or less in those two methods,such as,the problems in decreasing the operation efficiency to improve calculation accuracy,and also stability problems in boundary of great variation in Poisson ratio.Pseudo-spectral method is a numerical simulation method for seismic wave field.It is with high simulation accuracy,and high calculation efficiency.The wave equation in TI medium is given first,then pseudo-spectral method formulae of TI medium is derived,and finally simulated test computation has done on some medium models.Pseudo-spectral method validates the effectiveness of the method and the specialty of TI medium itself.
引文
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[2]孙成禹,张吉辉.完全纵波方程有限差分波场模拟[J].石油地球物理勘探,2005,40(3):42~48.
[3]张秉铭.各向异性介质中弹性波数值模拟与偏移研究[D].北京:中国科学院地球物理研究所,1997.
[4]Berenger J P.A perfectly matched layer for the ab-sorption of electromagnetics waves[J].JournalComputation Physics,1994,114(2):185~200.
[5]张毅.声波正演模拟中的人工边界问题[J].工程地球物理学报,2007,4(4):360~365.
[6]Alkhalifah T.An acoustic wave equation for aniso-tropic media[J].Geophysics,2000,65(4):1239~1250.
[7]Alkhalifah T.An acoustic wave equation for ortho-rhombic media[J].Geophysics,2003,68(4):1169~1172.
[8]张文生,何樵登.二维横向各向同性介质的伪谱法正演模拟[J].石油物探,1998,33(3):8~14.
[9]傅旦丹,何樵登.正交各向异性介质地震弹性波场的伪谱法正演[J].石油物探,2001,40(3):8~14.
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