基于PML井间地震纵横波分离的弹性波数值模拟
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摘要
井间地震方法观测到的波场信息丰富且复杂,其难点是如何识别和分离这些波场信息。这里从纵波波场为无旋场,横波波场为无散场出发,利用一阶速度～应力方程的交错网格高阶有限差分法,对井间弹性波纵、横波场分离问题进行了数值模拟。经数值模拟试验表明,同二阶的位移方程相比,使用等价的波场分离交错网格的一阶速度应力方程,无论是模拟精度还是模拟的稳定性方面都有了较大的提高,同时该横波资料的获取方法为井间地震资料的解释应用,提供了一种新的技术思路。
Crosswell seismic method observed rich and complex wave-field information.The difficulty is how to identify and separate the wave-field information.Starting from the idea of P-wave wave-field being rotation-free field and S-wave being divergence-free field,using staggered-grid high-order finite difference method,we have numerically simulated the problem of crosswell separated P-waves and S-waves.The numerical results show that it is obviously improved the accuracy and stability of numerical results compared with two-order displacement equation through the application of staggered-grid first order velocity-stress wave-field separation equation.This kind of acquisitive method about S-wave data provides a new thought for the applications and interpretation of crosswell seismic.
Crosswell seismic method observed rich and complex wave-field information.The difficulty is how to identify and separate the wave-field information.Starting from the idea of P-wave wave-field being rotation-free field and S-wave being divergence-free field,using staggered-grid high-order finite difference method,we have numerically simulated the problem of crosswell separated P-waves and S-waves.The numerical results show that it is obviously improved the accuracy and stability of numerical results compared with two-order displacement equation through the application of staggered-grid first order velocity-stress wave-field separation equation.This kind of acquisitive method about S-wave data provides a new thought for the applications and interpretation of crosswell seismic.
引文
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[4]裴正林,夏吉庄,王慧.薄互层油藏模型井间地震弹性波方程正演模拟研究[J].石油地球物理勘探,2009,44(1):112.
[5]何惺华.井间地震资料中的横波信息[J].石油物探,2003,42(3):374.
[6]马德堂,朱光明.弹性波波场P波和S波分解的数值模拟[J].石油地球物理勘探,2003,38(5):482.
[7]董良国,马在田,曹景忠,等.一阶弹性波方程交错网格高阶差分解法[J].地球物理学报,2000,43(3):411.
[8]牟永光,裴正林.三维复杂介质地震数值模拟[M].北京:石油工业出版社,2005.
[9]杜世通.地震波动力学[M].东营:石油大学出版社,1996.
[10]JEAN-PIERRE BERENGGER.A perfectly matchedlayer for the absorption of electromagnetic waves[J].Journal of Computational Physics,1994(114):185.
[11]PENG C B,TOKSOZ M N.An optimal absorbingboundary condition for elastic wave modeling[J].Ge-ophysics,1995,60(01):296.
[12]董良国,马在田,曹景忠,等.一阶弹性波方程交错网格高阶差分解法稳定性研究[J].地球物理学报,2000,43(6):856.
[13]刘喜武.弹性波场论基础[M].青岛:中国海洋大学出版社,2007.
[14]侯安宁,何樵登.各向异性介质中弹性波动高阶差分法及其稳定性研究[J].地球物理学报,1995,38(2):345.
[15]孙成禹,肖云飞,印兴耀,等.黏弹介质波动方程有限差分解的稳定性研究[J].地震学报,2010,32(2):147.
[2]DEVEANEY A J,ORISTAGLIO M L.A plane-wave decomposition for elastic wave fields applied tothe separation of P-waves and S-waves in vectorseismic data[J].Geophysics,1986(51):419.
[3]李振春,张华,刘庆敏,等.弹性波交错网格高阶有限差分法波场分离数值模拟[J].石油地球物理勘探,2007,42(5):510.
[4]裴正林,夏吉庄,王慧.薄互层油藏模型井间地震弹性波方程正演模拟研究[J].石油地球物理勘探,2009,44(1):112.
[5]何惺华.井间地震资料中的横波信息[J].石油物探,2003,42(3):374.
[6]马德堂,朱光明.弹性波波场P波和S波分解的数值模拟[J].石油地球物理勘探,2003,38(5):482.
[7]董良国,马在田,曹景忠,等.一阶弹性波方程交错网格高阶差分解法[J].地球物理学报,2000,43(3):411.
[8]牟永光,裴正林.三维复杂介质地震数值模拟[M].北京:石油工业出版社,2005.
[9]杜世通.地震波动力学[M].东营:石油大学出版社,1996.
[10]JEAN-PIERRE BERENGGER.A perfectly matchedlayer for the absorption of electromagnetic waves[J].Journal of Computational Physics,1994(114):185.
[11]PENG C B,TOKSOZ M N.An optimal absorbingboundary condition for elastic wave modeling[J].Ge-ophysics,1995,60(01):296.
[12]董良国,马在田,曹景忠,等.一阶弹性波方程交错网格高阶差分解法稳定性研究[J].地球物理学报,2000,43(6):856.
[13]刘喜武.弹性波场论基础[M].青岛:中国海洋大学出版社,2007.
[14]侯安宁,何樵登.各向异性介质中弹性波动高阶差分法及其稳定性研究[J].地球物理学报,1995,38(2):345.
[15]孙成禹,肖云飞,印兴耀,等.黏弹介质波动方程有限差分解的稳定性研究[J].地震学报,2010,32(2):147.
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