复杂地表条件下的地震波场模拟方法研究
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摘要
克服常规非零炮检距地震波场模拟只能采用双程波动方程的限制,以等时叠加原理为基础,提出了一种新的适用于复杂地表条件的基于单程波动方程的频率域地震波场模拟方法.该方法采用频率域单程波动方程延拓算子进行波场延拓,利用等时叠加原理进行波场成像,不仅具有很快的计算速度,而且可以得到高信噪比的模拟记录,仅包含一次反射波和不规则点的绕射波,不包含直达波、多次波等干扰波.实际模型的正演数值模拟和叠前偏移结果都证明了该方法的正确性和有效性.
A simulation method of the seismic wave field with complex surface conditions is put forward based on equal-time stack principle.This simulation method is on the basis frequency-field one-way wave-equation,which overcomes the limit that only double-way wave-equation can be used in the numerical simulation of non-zero offset seismic wave field.In the method,the continuation operator of one-way wave equation is used for wave-field continuation and the equal-time stack principle is used for wave-field imaging,which not only can increase calculation speed but also can obtain high signal-to-noise ratio simulation record,which only includes primary reflection wave and the diffracted waves of irregular points and does not include the disturbing waves of direct waves and multiple reflection waves.The results of cases prove the correctness and validity of the new method.
A simulation method of the seismic wave field with complex surface conditions is put forward based on equal-time stack principle.This simulation method is on the basis frequency-field one-way wave-equation,which overcomes the limit that only double-way wave-equation can be used in the numerical simulation of non-zero offset seismic wave field.In the method,the continuation operator of one-way wave equation is used for wave-field continuation and the equal-time stack principle is used for wave-field imaging,which not only can increase calculation speed but also can obtain high signal-to-noise ratio simulation record,which only includes primary reflection wave and the diffracted waves of irregular points and does not include the disturbing waves of direct waves and multiple reflection waves.The results of cases prove the correctness and validity of the new method.
引文
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[4]褚春雷,王修田.非规则三角网格有限差分法地震正演模拟[J].中国海洋大学学报,2005,35(1):43-48.
[5]陈伟.起伏地表条件下二维地震波场的数值模拟[J].勘探地球物理进展,2005,28(1):25-31.
[6]董良国.复杂地表条件下地震波传播数值模拟[J].勘探地球物理进展,2005,28(3):187-194.
[7]贺振华.反射地震资料偏移处理与反演方法[M].重庆:重庆大学出版社,1989.
[8]贺振华,胡光岷,黄德济.数学检波器与波动方程地震叠前正演[J].成都理工大学学报:自然科学版,2004,31(6):675-678.
[9]贺振华,熊晓军.等时叠加波动方程正演[J].物探化探技术,2005,27(3):194-198.
[10]Jér me H,Le Rousseau,Maarten V.Modeling and imag-ing with the scalar generalized-screen algorithms inisotropic media[J].Geophysics,2001,66(5):1551-1568.
[11]Moshe Reshef.Depth migration from irregular surfaceswith depth extrapolation methods[J].Geophysics,1991,56(1):119-122.
[2]Claerboat J F.Imaging the earth’s interior[M].[S.l.]:Blackwell Scientific Publications,1985.
[3]裴正林.任意起伏地表弹性波方程交错网格高阶有限差分法数值模拟[J].石油地球物理勘探,2004,39(6):629-634.
[4]褚春雷,王修田.非规则三角网格有限差分法地震正演模拟[J].中国海洋大学学报,2005,35(1):43-48.
[5]陈伟.起伏地表条件下二维地震波场的数值模拟[J].勘探地球物理进展,2005,28(1):25-31.
[6]董良国.复杂地表条件下地震波传播数值模拟[J].勘探地球物理进展,2005,28(3):187-194.
[7]贺振华.反射地震资料偏移处理与反演方法[M].重庆:重庆大学出版社,1989.
[8]贺振华,胡光岷,黄德济.数学检波器与波动方程地震叠前正演[J].成都理工大学学报:自然科学版,2004,31(6):675-678.
[9]贺振华,熊晓军.等时叠加波动方程正演[J].物探化探技术,2005,27(3):194-198.
[10]Jér me H,Le Rousseau,Maarten V.Modeling and imag-ing with the scalar generalized-screen algorithms inisotropic media[J].Geophysics,2001,66(5):1551-1568.
[11]Moshe Reshef.Depth migration from irregular surfaceswith depth extrapolation methods[J].Geophysics,1991,56(1):119-122.
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