三维射线快速追踪及高斯射线束正演
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摘要
射线正演方法在复杂地区的地震勘探中起着非常重要的作用,然而随着野外勘探条件复杂程度的增加,三维地质模型也更加复杂化,普通射线正演方法在精度和速度上都不能很好地满足实际生产的需要。为了解决复杂三维介质的地震数值模拟问题,本文研究了块状三维地质模型的快速射线追踪和高斯射线束正演方法。与普通的射线正演方法不同,该方法将波动方程和射线理论紧密结合起来,通过运动学射线追踪获取射线轨迹,通过动力学追踪获取中心射线附近的高频能量分布,因而既能反映波的运动学特征,又能表现波的动力学特点,并且具有运算速度快、精度高等优点,能够有效地解决复杂三维介质的正演模拟问题。
The ray forward simulation pays important role on seismic exploration in complex area,but along with the complexity of field prospecting condition,the 3-D geologic model becomes more complexity and conventional ray forward simulation is not able to meet the need of practical production in both precision and speed.In order to solve the issue of seismic numeric simulation for 3-D complex medium,the paper studied rapid ray tracing and Gaussian ray-beam forward simulation for 3-D clumpy geologic model.Different from common ray forward simulation,the method closely combines the wave equation with ray theory,gets ray trajectory by kinematical ray-tracing and distribution of high-frequency energy around central ray by dynamic ray-tracing,which reflects the feature of waves in both dynamics and kinematics and is characteristics of both rapid operational speed and high precision,which is able to effectively solve the issue of forward simulation for 3D complex medium.
The ray forward simulation pays important role on seismic exploration in complex area,but along with the complexity of field prospecting condition,the 3-D geologic model becomes more complexity and conventional ray forward simulation is not able to meet the need of practical production in both precision and speed.In order to solve the issue of seismic numeric simulation for 3-D complex medium,the paper studied rapid ray tracing and Gaussian ray-beam forward simulation for 3-D clumpy geologic model.Different from common ray forward simulation,the method closely combines the wave equation with ray theory,gets ray trajectory by kinematical ray-tracing and distribution of high-frequency energy around central ray by dynamic ray-tracing,which reflects the feature of waves in both dynamics and kinematics and is characteristics of both rapid operational speed and high precision,which is able to effectively solve the issue of forward simulation for 3D complex medium.
引文
[1]徐涛,徐果明,高尔根,朱良保,蒋先艺.三维复杂介质的块状建模和试射射线追踪.地球物理学报,2004,47(6):1118～1126
[2]Cerveny V.Synthetic body wave seismograms for lat-erally varying structures by the Gaussian beam meth-od.Geophys,1983,73:389～426
[3]Cerveny V,Psencik I.Gaussian beams and paraxial ray approximation in three-dimensional elastic in homogeneous media.Geophys,1983,53:1～15
[4]Cerveny V.Gaussian beams synthetic seismograms.Geophys,1985,58:44～72
[5]Cerveny V.Ray Synthetic seismograms for complex two-dimensional and three-dimensional structures.Geophys,1985,58:2～26
[6]Cerveny V,Hron F.The ray-series method and dy-namic ray tracing for three-dimensional in inhomoge-neous media.Bulletinofthe seismological society of America,1980,70:47～77
[7]刘学才,周熙襄,沙椿.三维高斯射线束法合成三分量VSP记录.石油地球物理勘探,1995,30(5):669～680
[8]Jasmin Blanchette,Mark Summerfield.C++GUI Programming with Qt3.Pretice Hall Ptr,2001
[9]袁慰平,张令敏,黄新芹.计算方法与实习.江苏南京:东南大学出版社,1997,92～95,145～148
[10]周培德.计算几何——算法设计与分析(第2版).北京:清华大学出版社,2005
[11]Angel E.Interactive Computer Graphics:A Top-Down Approach with Open GL,3e.Edward Angel,2002
[2]Cerveny V.Synthetic body wave seismograms for lat-erally varying structures by the Gaussian beam meth-od.Geophys,1983,73:389～426
[3]Cerveny V,Psencik I.Gaussian beams and paraxial ray approximation in three-dimensional elastic in homogeneous media.Geophys,1983,53:1～15
[4]Cerveny V.Gaussian beams synthetic seismograms.Geophys,1985,58:44～72
[5]Cerveny V.Ray Synthetic seismograms for complex two-dimensional and three-dimensional structures.Geophys,1985,58:2～26
[6]Cerveny V,Hron F.The ray-series method and dy-namic ray tracing for three-dimensional in inhomoge-neous media.Bulletinofthe seismological society of America,1980,70:47～77
[7]刘学才,周熙襄,沙椿.三维高斯射线束法合成三分量VSP记录.石油地球物理勘探,1995,30(5):669～680
[8]Jasmin Blanchette,Mark Summerfield.C++GUI Programming with Qt3.Pretice Hall Ptr,2001
[9]袁慰平,张令敏,黄新芹.计算方法与实习.江苏南京:东南大学出版社,1997,92～95,145～148
[10]周培德.计算几何——算法设计与分析(第2版).北京:清华大学出版社,2005
[11]Angel E.Interactive Computer Graphics:A Top-Down Approach with Open GL,3e.Edward Angel,2002
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