基于改进的双线性旅行时插值的三维射线追踪
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摘要
旅行时射线追踪的精度和效率一直是影响地震层析成像质量和效果的关键因素。这里在三维近地表速度结构层析成像应用中,结合旅行时插值算法与最短路径算法,提出了一种三维初至波射线追踪算法。通过对双线性旅行时插值算法进行改进,并运用判定条件与简化插值计算公式进行快速计算,减少了插值次数,降低了运算量,同时也保证了较高的射线精度,有效地解决了三维射线追踪算法的计算低效率,射线精度不高的问题。
The accuracy and efficiency of travel time ray tracing is always the key factor of affecting the quality and effect of seismic tomography. In this paper, an improved 3D ray tracing algorithm is presented to solve this problems, and the algorithm is based on the near-surface three-dimensional tomography in the practical application combining with bilinear interpolation algorithm and the shortest path algorithm. Through improved the linear interpolation ray tracing traveltime algorithm by determining the conditions and simplify the formula and the evolution of the grid extension to the spread of wave front, the interpolation times have been deduced and the computing amount have also been reduced. The algorithm guarantee the accuracy of ray tracing and achieve an efficient and fast ray tracing.
The accuracy and efficiency of travel time ray tracing is always the key factor of affecting the quality and effect of seismic tomography. In this paper, an improved 3D ray tracing algorithm is presented to solve this problems, and the algorithm is based on the near-surface three-dimensional tomography in the practical application combining with bilinear interpolation algorithm and the shortest path algorithm. Through improved the linear interpolation ray tracing traveltime algorithm by determining the conditions and simplify the formula and the evolution of the grid extension to the spread of wave front, the interpolation times have been deduced and the computing amount have also been reduced. The algorithm guarantee the accuracy of ray tracing and achieve an efficient and fast ray tracing.
引文
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[5]吴军,贾雨.复杂介质的三维块状模型快速射线追踪[J].物探化探计算技术,2008,30(6):465.
[6]张建中,陈世军,徐初伟.动态网络最短路径射线追踪[J].地球物理学报,2004,47(5):146.
[7]MOSER T J.Shortest path calculation of seismic rays[J].Geophysics,1991,56(1):59.
[8]孔选林,李录明,罗省贤,等.各向异性介质中地震波射线正演[J].物探化探计算技术,2008,30(3):178.
[9]张东,谢宝莲,杨艳,等.一种改进的线性走时插值射线追踪算法[J].地球物理学报,2009,52(1):200.
[10]高尔根,徐果明,蒋先艺,等.三维结构下逐段迭代射线追踪方法[J].石油地球物理勘探,2002,37(1):11.
[11]涂齐催,刘怀山.利用线性旅行时插值射线追踪计算地表模型初至波走时[J].2006,30(2):148.
[12]MOSER TJ,VANECKT,NOLETG.Hypocenter deter-mination in strongly heterogeneous earth models usingthe shortest path method[J].J.Geophys.Res,1992,97:6563.
[13]ASAKAWA E,KAWANAKA T.Seismic ray tracing u-sing linear traveltime interpolation[J].GeophysicalProspecting,1993,41(1):99.
[2]NISHI K.A three-dimensional robust seismic ray tracerfor volcanic regions[J].Earth Planets Space,2001,53:101.
[3]常旭,刘伊克.地震正反演与成像[M].北京:华文出版社,2001.
[4]邓飞,周杲,王美平,等.基于剖面重构的三维地层建模[J].物探化探计算技术,2007,29(1):19.
[5]吴军,贾雨.复杂介质的三维块状模型快速射线追踪[J].物探化探计算技术,2008,30(6):465.
[6]张建中,陈世军,徐初伟.动态网络最短路径射线追踪[J].地球物理学报,2004,47(5):146.
[7]MOSER T J.Shortest path calculation of seismic rays[J].Geophysics,1991,56(1):59.
[8]孔选林,李录明,罗省贤,等.各向异性介质中地震波射线正演[J].物探化探计算技术,2008,30(3):178.
[9]张东,谢宝莲,杨艳,等.一种改进的线性走时插值射线追踪算法[J].地球物理学报,2009,52(1):200.
[10]高尔根,徐果明,蒋先艺,等.三维结构下逐段迭代射线追踪方法[J].石油地球物理勘探,2002,37(1):11.
[11]涂齐催,刘怀山.利用线性旅行时插值射线追踪计算地表模型初至波走时[J].2006,30(2):148.
[12]MOSER TJ,VANECKT,NOLETG.Hypocenter deter-mination in strongly heterogeneous earth models usingthe shortest path method[J].J.Geophys.Res,1992,97:6563.
[13]ASAKAWA E,KAWANAKA T.Seismic ray tracing u-sing linear traveltime interpolation[J].GeophysicalProspecting,1993,41(1):99.
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