基于高斯波束的2.5维数值模拟
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摘要
由于具有计算速度快的优点,射线追踪方法在地震勘探中一直起着非常重要的作用。V.Cerveny在上世纪80年代初提出了高斯波束方法,该方法同时考虑了波的动力学和运动学特征,并且无需两点试射追踪,因而运算速度快且精度高;另外高斯波束对异常区波场有较好的效果,比如焦散点、阴影区、临界和超临界反射。研究的主要内容是2.5维简单结构模型的高斯波束法。利用2.5维模型进行数值计算相当于在二维空间内计算三维问题,可以节约很大一部分计算。
Because of its rapid computing speed,ray-tracing method have always played a very important role in seismic exploration.V.Cerveny made Gaussian beam method in the early of 1980s.Gaussian beam method takes into account the dynamics and kinematics of seismic wave,and do not need test-fire tracing,and thus rapid computing speed and high accuracy.In addition,Gaussian beams has a good effect for the wave field of anomalous areas,such as caustic point,the shadow zone,the critical reflection.Studied in this paper the main contents of is 2.5-dimensional Gaussian beam method for some simple structural models.The use of 2.5-dimensional numerical model is equivalent to the calculation in two-dimensional space for three-dimensional problem,and we can save a large part of the calculation.
Because of its rapid computing speed,ray-tracing method have always played a very important role in seismic exploration.V.Cerveny made Gaussian beam method in the early of 1980s.Gaussian beam method takes into account the dynamics and kinematics of seismic wave,and do not need test-fire tracing,and thus rapid computing speed and high accuracy.In addition,Gaussian beams has a good effect for the wave field of anomalous areas,such as caustic point,the shadow zone,the critical reflection.Studied in this paper the main contents of is 2.5-dimensional Gaussian beam method for some simple structural models.The use of 2.5-dimensional numerical model is equivalent to the calculation in two-dimensional space for three-dimensional problem,and we can save a large part of the calculation.
引文
[1]Cerveny V,Popov M M,Psencik I.Computation of wavefields in inhomogeneous media-Gaussian beam approach[J].Geophys J R Astr Soc,1982,70:109 128.
[2]邓飞,刘超颖,赵波,等.高斯射线束正演与偏移[J].石油地球物理勘探,2009,44(3):265 269.
[3]Hill N R.高斯射束偏移[J].易彤,梁杰,译.国外油气勘探,1996,8(3):311 324.
[4]孙建国.2.5维地震波数值模拟评述:声波模型[J].地球物理学进展,2009,24(1):20 34.
[5]Cerveny V,Psencik I.Gaussian beams in two-dimension-al elastic inhomogeneous media[J].Geophys J R AstrSoc,1983,72:417 433.
[6]Cerveny V,Molotkov I A,Psencik I.Ray method inseismology[R].Univerzita Karlova Praha,1977.
[7]Cerveny V,Psencik I.Gaussian beams in elastic2-D lat-erally varying layered structures[J].Geophys J R AstrSoc,1984,78:65 91.
[8]Cerveny V.Synthetic body wave seismograms for laterallyvarying layered structures by the Gaussian beam method[J].Geophys J R Astr Soc,1983,73:389 426.
[2]邓飞,刘超颖,赵波,等.高斯射线束正演与偏移[J].石油地球物理勘探,2009,44(3):265 269.
[3]Hill N R.高斯射束偏移[J].易彤,梁杰,译.国外油气勘探,1996,8(3):311 324.
[4]孙建国.2.5维地震波数值模拟评述:声波模型[J].地球物理学进展,2009,24(1):20 34.
[5]Cerveny V,Psencik I.Gaussian beams in two-dimension-al elastic inhomogeneous media[J].Geophys J R AstrSoc,1983,72:417 433.
[6]Cerveny V,Molotkov I A,Psencik I.Ray method inseismology[R].Univerzita Karlova Praha,1977.
[7]Cerveny V,Psencik I.Gaussian beams in elastic2-D lat-erally varying layered structures[J].Geophys J R AstrSoc,1984,78:65 91.
[8]Cerveny V.Synthetic body wave seismograms for laterallyvarying layered structures by the Gaussian beam method[J].Geophys J R Astr Soc,1983,73:389 426.
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