球坐标系下三维射线追踪的方法和应用
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摘要
作者在文中详细地论述了适用于任意曲线坐标系的射线追踪系统的建立和重要公式的推导 ,并给出了该追踪系统在球坐标系下的具体应用 ,讨论了理论模型和实际三维模型下的射线追踪结果。球坐标三维射线追踪结果表明 ,该方法和弯曲法相比能更精确地反映介质的速度分布情况以及地震波在介质中的传播情况
This paper presents the construction of a ray tracing system adapted for any kind of curvilinear coordinate and the derivation of its main formulas in details. The applications of the ray tracing system on spherical coordinate are given and the ray tracing results of theoretical and real 3D model are discussed. Comparing with the bending method, the 3D ray tracing on spherical coordinate can describe the velocity distribution of medium and the seismic wave propagation more precisely.
This paper presents the construction of a ray tracing system adapted for any kind of curvilinear coordinate and the derivation of its main formulas in details. The applications of the ray tracing system on spherical coordinate are given and the ray tracing results of theoretical and real 3D model are discussed. Comparing with the bending method, the 3D ray tracing on spherical coordinate can describe the velocity distribution of medium and the seismic wave propagation more precisely.
引文
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[2] CervenyV,著.刘福田,译.地震学中的射线方法[M].北京:地质出版社,1986.
[3] PeterBulant.Two-pointRayTracing in3-D[J].Pageoph.1996,148(3).
[4] PeterBulant.Two-PointRayTracingAndControlledInitial-ValueRay-TracingIn3-D HeterogeneousBlockStructures[J].JourOfSeismicExploration8,1999,57
[5] PereyraV,L eeW H K,KellerH B.SolvingTwo-PointSeismicRayTracingProblemsInA HeterogeneousMedium[J].Bulletin oftheSeismologicalSociety ofAmerica,1980,70(1):79.
[6] 熊光楚.观测数据中系统误差的消除问题[J].物探化探计算技术,2000,22(3):193.
[7] 苑书金,董敏煜.各向异性介质中的P波旅行时反演[J].物探化探计算技术,2000,22(4):312.
[8] 朱介寿.地震学中的计算方法[M].北京:地震出版社,1988.
[9] 张钋,刘洪,李幼铭,等.射线追踪方法的发展现状[J].地球物理学报,2000,15(1):36.
[10] 何樵登等.地震波理论[M].北京:地质出版社,1988.
[11] 黄克智.张量分析[M].北京:清华大学出版社,1986.
[12] 傅淑芳,朱仁益.高等地震学[M].北京:地震出版社,1997.
[13] 袁慰平,张令敏著.计算方法与实习[M].东南大学出版社,1991.
[14] 林成森.数值计算方法(下)[M].科学出版社,1998.
[15] 胡建伟,汤怀民.微分方程数值方法[M].北京:科学出版社,1999.
[16] 程正兴,李永根.数值逼近与微分方程数值解[M].西安交通大学出版社,2000.
[17] 杨文彩.地球物理反演的理论与方法[M].北京:地质出版社,1997.
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