高精度地震散射波数值模拟
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摘要
随着地震勘探要求和技术的不断提高,散射波地震勘探方法逐渐引起人们的重视,尤其在具有广角性质的工程地震勘探中,基于非均匀介质理论的散射波理论具有广泛的应用前景。本文在讨论了现阶段几种散射波数值模拟方法的各种利弊后,设计了一种基于微扰论的FK域积分法,该方法求取总场后再通过FK域积分法求取散射场,在散射场的二次震源和空间能量衰减处理两方面做了改进,散射场的计算精度和效率均得到了提高。
The scattered wave seismic method is now well appreciated and developed with the gradually technical requirements and level of seismic survey.Particularly in engineering seismic survey which is related to wide range,it has been widely applied owing to heterogeneous medium.Different current numerical modelings of scattered wave have their own advantages and disadvantages.This paper has designed a kind of integration in FK domain based on perturbation theory to solve scattered field,which could obtain scattered field by integration in FK domain after getting the total wave field.It has improved the data source of scattered field and the processing of space energy.The computational accuracy and efficiency of scattered field have been much better.In addition,an attempt is also made to demonstrate the above in two ways: theory and test of modeling.
The scattered wave seismic method is now well appreciated and developed with the gradually technical requirements and level of seismic survey.Particularly in engineering seismic survey which is related to wide range,it has been widely applied owing to heterogeneous medium.Different current numerical modelings of scattered wave have their own advantages and disadvantages.This paper has designed a kind of integration in FK domain based on perturbation theory to solve scattered field,which could obtain scattered field by integration in FK domain after getting the total wave field.It has improved the data source of scattered field and the processing of space energy.The computational accuracy and efficiency of scattered field have been much better.In addition,an attempt is also made to demonstrate the above in two ways: theory and test of modeling.
引文
[1]尹军杰,刘学伟,李文慧.地震波散射理论及应用研究[J].地球物理学进展,2005,20(1):123~134.
[2]吴如山,[美]安艺敬一.地震波的散射衰减[M].李裕澈,卢寿德译.北京:地震出版社,1993.
[3]Hudson J A,Knopoff L.Predicting the Overall Pro-petties of Composites Materials with Small-scale In-clusions or Cracks[J].Pure Appl Geophys,1989,131:551~576.
[4]V Tournat,V Pagneus,D Lafarge,et al.MultipleScattering of Acoustic Waves and Porous AbsorbingMedia[J].Physical Review E,2004,70(2):1~10.
[5]Kasper van Wijk.Analysis of Strong Scattering at theMicro-scale[J].J.Acoust.Soc.Am.2004,115(3):1006~1011.
[6]贾豫葛,李小凡,张美根,等.地震波散射研究的若干重要进展[J].地球物理学进展,2005,20(4):939~944.
[7]刘铁华.地震散射波理论与数值模拟[D].西安:长安大学,2010.
[8]Wu R S,Huang L J,Xie X B.Backscattered WaveCalculation Using the DE Wolf Approximation and APhase-screen Propagator[A].Expanded Abstracts ofthe Technical Program[C].SEG’65th Annual Meet-ing,1995:1293~1296.
[9]符力耘,杨慧珠,牟永光.非均匀介质散射问题的体积分方程数值解法[J].力学学报,1998,30(4):488~493.
[10]孙明,林君.金属矿地震散射波场的数值模拟研究[J].地质与勘探,2001,37(4):68~70.
[11]田丽花.地震波散射场正演数值模拟[D].北京:中国地质大学(北京),2007.
[12]秦雪霏.地震波多次散射波场属性分析[D].长春:吉林大学,2007.
[13]郭继亮.随机介质散射波场数值模拟与特征分析[D].西安:长安大学,2009.
[2]吴如山,[美]安艺敬一.地震波的散射衰减[M].李裕澈,卢寿德译.北京:地震出版社,1993.
[3]Hudson J A,Knopoff L.Predicting the Overall Pro-petties of Composites Materials with Small-scale In-clusions or Cracks[J].Pure Appl Geophys,1989,131:551~576.
[4]V Tournat,V Pagneus,D Lafarge,et al.MultipleScattering of Acoustic Waves and Porous AbsorbingMedia[J].Physical Review E,2004,70(2):1~10.
[5]Kasper van Wijk.Analysis of Strong Scattering at theMicro-scale[J].J.Acoust.Soc.Am.2004,115(3):1006~1011.
[6]贾豫葛,李小凡,张美根,等.地震波散射研究的若干重要进展[J].地球物理学进展,2005,20(4):939~944.
[7]刘铁华.地震散射波理论与数值模拟[D].西安:长安大学,2010.
[8]Wu R S,Huang L J,Xie X B.Backscattered WaveCalculation Using the DE Wolf Approximation and APhase-screen Propagator[A].Expanded Abstracts ofthe Technical Program[C].SEG’65th Annual Meet-ing,1995:1293~1296.
[9]符力耘,杨慧珠,牟永光.非均匀介质散射问题的体积分方程数值解法[J].力学学报,1998,30(4):488~493.
[10]孙明,林君.金属矿地震散射波场的数值模拟研究[J].地质与勘探,2001,37(4):68~70.
[11]田丽花.地震波散射场正演数值模拟[D].北京:中国地质大学(北京),2007.
[12]秦雪霏.地震波多次散射波场属性分析[D].长春:吉林大学,2007.
[13]郭继亮.随机介质散射波场数值模拟与特征分析[D].西安:长安大学,2009.
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