基于非线性插值的地震波旅行时计算
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摘要
地震波旅行时计算是射线追踪方法的核心问题,其精度直接影响着路径的精度和正演模拟的准确程度。在简要分析目前最典型的几种地震波旅行时计算方法(如有限差分法、线性插值法等)局限性的基础上,提出了一种基于非线性插值的地震波旅行时计算方法,并推导了其计算公式。通过模型的对比试算,不仅验证了所提出的旅行时非线性插值算法的正确性,而且还表明本算法计算旅行时的精度,比Asakawa[5]提出的线性插值算法的精度更高。
The computation of seismic traveltime is a core matter of ray-tracing method,and its accuracy affects the accuracy of the path and the accurate degree of the forward problem of seismic ray simulation.Having analysed the localization of several typical methods for traveltime computation(finite difference method,linear interpolation method and so on) in briefly,authors put forward a method for traveltime computation based on nonlinear interpolation,and deduced its calculation formula.The contrast that passed the model computation,not only verified the correctness of the algorithm,but also showed that the computation accuracy of the algorithm is higher than the that based on linear interpolation,being put forward by Asakawa.
The computation of seismic traveltime is a core matter of ray-tracing method,and its accuracy affects the accuracy of the path and the accurate degree of the forward problem of seismic ray simulation.Having analysed the localization of several typical methods for traveltime computation(finite difference method,linear interpolation method and so on) in briefly,authors put forward a method for traveltime computation based on nonlinear interpolation,and deduced its calculation formula.The contrast that passed the model computation,not only verified the correctness of the algorithm,but also showed that the computation accuracy of the algorithm is higher than the that based on linear interpolation,being put forward by Asakawa.
引文
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[3]王华忠,方正茂,徐兆涛,等.地震波旅行时计算[J].石油地球物理勘探,1999,34(2):155.
[4]VIDALE J E.F in ite-d ifference calcu lation of travel-tim es[J].Bu ll Se ism Soc Am,1988,78(6):2062.
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[6]赵改善,郝守玲,杨尔皓,等.基于旅行时线性插值的地震射线追踪算法[J].石油物探,1998,37(2):14.
[7]聂建新,杨慧珠.地震波旅行时二次/线性联合插值法[J].清华大学学报(自然科学版),2003,43(11):1495.
[8]何洋,孙建国.垂向不均匀介质中射线追踪及等时线构造的VC实现[J].物探化探计算技术,2004,26(1):13.
[9]赵谊,高尔根,刘同庆,等.三维层状地质结构下整体迭代射线追踪法[J].物探化探计算技术,2001,23(2):105.
[10]梁春涛,朱介寿,曹家敏,等.球坐标系下三维射线追踪的方法和应用[J].物探化探计算技术,2001,23(3):199.
[11]张永刚.地震波场数值模拟方法[J].石油物探,2003,42(2):143.
[12]QIN F,SCHUSTER G T.F irst-arrival traveltim e cal-cu lation for an isotrop ic m ed ia[J].Geophysics,1993,58(9):1349.
[13]单延明,吴清岭,于承业,等.复杂地质构造波动方程数值模拟[J].物探化探计算技术,2002,24(1):22.
[14]邓怀群,刘雯林.横向各向同性介质中地震波旅行时的计算[J].石油地球物理勘探,2000,35(4):508.
[15]刘刚,胡远来,贾?.随机分形插值法在地震数据处理中的应用[J].物探化探计算技术,2002,24(4):304.
[16]杨旭明,王克斌.一种层析成像的正演和反演方法[J].物探化探计算技术,2002,24(4):337.
[17]赵成斌,许云,乌达巴拉.地震波走时和射线的有限差分计算[J].华北地震科学,1995,13(4):41.
[2]张钋,刘洪,李幼铭.射线追踪方法的发展现状[J].地球物理学进展,2000,15(1):36.
[3]王华忠,方正茂,徐兆涛,等.地震波旅行时计算[J].石油地球物理勘探,1999,34(2):155.
[4]VIDALE J E.F in ite-d ifference calcu lation of travel-tim es[J].Bu ll Se ism Soc Am,1988,78(6):2062.
[5]ASAKAWA E,KAWANAKA T.Se ism ic ray trac ing u-sing linear traveltim e interpolation[J].GeophysicalProspecting,1993,41(1):99.
[6]赵改善,郝守玲,杨尔皓,等.基于旅行时线性插值的地震射线追踪算法[J].石油物探,1998,37(2):14.
[7]聂建新,杨慧珠.地震波旅行时二次/线性联合插值法[J].清华大学学报(自然科学版),2003,43(11):1495.
[8]何洋,孙建国.垂向不均匀介质中射线追踪及等时线构造的VC实现[J].物探化探计算技术,2004,26(1):13.
[9]赵谊,高尔根,刘同庆,等.三维层状地质结构下整体迭代射线追踪法[J].物探化探计算技术,2001,23(2):105.
[10]梁春涛,朱介寿,曹家敏,等.球坐标系下三维射线追踪的方法和应用[J].物探化探计算技术,2001,23(3):199.
[11]张永刚.地震波场数值模拟方法[J].石油物探,2003,42(2):143.
[12]QIN F,SCHUSTER G T.F irst-arrival traveltim e cal-cu lation for an isotrop ic m ed ia[J].Geophysics,1993,58(9):1349.
[13]单延明,吴清岭,于承业,等.复杂地质构造波动方程数值模拟[J].物探化探计算技术,2002,24(1):22.
[14]邓怀群,刘雯林.横向各向同性介质中地震波旅行时的计算[J].石油地球物理勘探,2000,35(4):508.
[15]刘刚,胡远来,贾?.随机分形插值法在地震数据处理中的应用[J].物探化探计算技术,2002,24(4):304.
[16]杨旭明,王克斌.一种层析成像的正演和反演方法[J].物探化探计算技术,2002,24(4):337.
[17]赵成斌,许云,乌达巴拉.地震波走时和射线的有限差分计算[J].华北地震科学,1995,13(4):41.
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