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三维复杂山地多级次群推进迎风混合法多波型走时计算
引用本文:孙章庆,孙建国,王雪秋,高正辉,江兆南.三维复杂山地多级次群推进迎风混合法多波型走时计算[J].地球物理学报,2017,60(5):1861-1873.
作者姓名:孙章庆  孙建国  王雪秋  高正辉  江兆南
作者单位:1. 吉林大学地球探测科学与技术学院, 长春 130026;2. 国土资源部应用地球物理综合解释理论开放实验室—波动理论与成像技术实验室, 长春 130026;3. 重庆市地质矿产勘查开发局208水文地质工程地质队, 重庆 408300
基金项目:国家自然科学基金项目(41404085、41274120)、中国博士后科学基金第6批特别资助和第52批面上资助项目(2013T60329、2012M520680)、吉林大学优秀青年教师培养计划(419080500337)联合资助.
摘    要:三维复杂山地条件下的各种地震波型的走时计算技术,可以直接用于复杂山地区域地震波运动学特性的分析、地震数据采集观测系统的设计以及直接基于三维复杂地表的地震数据处理技术的研发.为了在三维复杂地表条件下准确、灵活且稳定地计算各种地震波型的走时,提出一种多级次群推进迎风混合法.该算法利用不等距迎风差分法简洁稳定地处理三维复杂地表及附近的局部走时计算问题,利用计算精度不错的迎风双线性插值法处理绝大部分均匀正方体网格中的局部走时计算问题,利用群推进法模拟三维复杂地表条件下地震波前的扩展问题,利用多级次算法处理各种类型的地震波的走时计算问题.算法分析和计算实例表明:新方法具有很好的计算精度与效率,且能灵活稳定地处理三维复杂地表复杂介质条件下的多波型走时计算问题.

关 键 词:三维复杂山地  多级次算法  群推进法  迎风混合法  多波型  走时计算  
收稿时间:2016-04-28

Computation of multiple seismic traveltime in mountainous areas with complex 3D conditions using the multistage group marching upwind hybrid method
SUN Zhang-Qing,SUN Jian-Guo,WANG Xue-Qiu,GAO Zheng-Hui,JIANG Zhao-Nan.Computation of multiple seismic traveltime in mountainous areas with complex 3D conditions using the multistage group marching upwind hybrid method[J].Chinese Journal of Geophysics,2017,60(5):1861-1873.
Authors:SUN Zhang-Qing  SUN Jian-Guo  WANG Xue-Qiu  GAO Zheng-Hui  JIANG Zhao-Nan
Institution:1. College for Geoexploration Science and Technology, Jilin University, Changchun 130026, China;2. Laboratory for Integrated Geophysical Interpretation Theory of the Ministry for Land and Resources of China-Laboratory for Wave Theory and Imaging Technology, Changchun 130026, China;3. Chongqing Bureau of Geology and Minerals Exploration 208 Hydrogeological & Engineering Geology Brigade, Chongqing 408300, China
Abstract:The techniques for computing traveltime of different types of seismic waves in mountainous areas with 3D complex topographic conditions can be directly used for analyzing the kinematical characteristics of seismic waves, designing the seismic data acquisition system, and developing some seismic data processing techniques directly for the 3D complex earth's surface. To compute traveltime of different types of seismic waves with high accuracy, great flexibility, and unconditional stability in 3D complex topographic conditions, we propose a multistage group marching upwind hybrid method. In this new method, we use the upwind finite-difference method with non-uniform grid spacing to compute the local seismic traveltime on or nearby the earth's surface with unconditional stability and concisely. The local seismic traveltime on the other uniform grids is computed by using the upwind bilinear interpolation method which has high accuracy. We also use the group marching method to simulate flexibly the extended processing of the seismic wave-front in 3D complex topographic conditions. Finally, the computational problem of multiple seismic traveltime is solved flexibly by the multistage algorithm. The contrast analysis to computational accuracy and the numerical example show that the new method presented in this paper has high accuracy and the flexible adaptability to solve the problem of multiple seismic traveltime computation in mountainous areas with complicated media and 3D complex surface topography.
Keywords:3D complex topography  Multistage algorithm  Group marching method  Upwind hybrid method  Multiple seismic wave  Traveltime computation  
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