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物探与化探  2018, Vol. 42 Issue (1): 166-171    DOI: 10.11720/wtyht.2018.1.20
  本期目录 | 过刊浏览 | 高级检索 |
非穿透体和起伏地表模型的FMM走时计算
蒋锦朋(), 朱培民()
中国地质大学 地球物理与空间信息学院,湖北 武汉 430074
FMM-based travel time calculation in complex model including non-penetrating abnormal body and irregular ground surface
Jin-Peng JIANG(), Pei-Min ZHU()
Institute of Geophysics and Geomatics,China University of Geosciences,Wuhan 430074,China
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摘要 

在隧道或巷道工程地震超前探测中较常用偏移成像技术, 计算地震射线走时是该技术的核心部分。 由于在近似地下全空间区域内成像, 隧道或巷道、空洞、采空区等非穿透体对地震波走时计算有较大影响。 为此,文中发展了基于FMM(fast marching method)的含非穿透体的走时算法。 该算法采用非穿透体区域标记法, 当FMM窄带区在计算到非穿透体时会自动避开或绕过, 使得波前推进更加符合实际传播情况。 这种算法也适用于起伏地表模型,只需要将起伏地表以上区域也作为非穿透体来对待。 因而, 新算法可以同时处理含有起伏地表的模型。 改进的算法与常规算法相比只是增加了标记点, 保持了FMM的计算精度和效率。 理论模型试验表明, 改进的算法能够较准确地计算走时,对复杂异常体的适应性较强, 而且有很好的稳定性。

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蒋锦朋
朱培民
关键词 FMM非穿透体起伏地表走时计算窄带    
Abstract

Migration imaging technique is commonly used in reconnaissance beyond tunnel or roadway,of which the important part is the travel time calculation.Because the imaging area approximates the whole underground space,such non-penetrating bodies as tunnels or roadways,holes,and mine goaves have a great influence on the travel time of seismic wave.Therefore,based on Fast Marching method (FMM),the authors developed a new algorithm to calculate the travel time of seismic waves for those complex models including the non-penetrating bodies.In this algorithm,a labeling technique is adopted for non-penetrating bodies,and the ray will automatically avoid and bypass the non-penetrating bodies in narrow band of FMM when a ray approaches them,making the seismic wavefront propagation more realistic.Also,this new algorithm can be applicable to the model for irregular ground surface if the above surface area is regarded as a non-penetrating body.Therefore,the new algorithm can deal with the model with non-penetrating bodies and irregular ground surface simultaneously.Compared with the conventional algorithm,the marked point is the only change of the developed algorithm,which maintains the accuracy and efficiency of FMM.The numerical test results show that the improved algorithm can calculate the travel time accurately,and has strong adaptability and good stability to complex model.

Key wordsFMM    non-penetrating body    irregular ground surface    travel time computation    narrow band
收稿日期: 2016-11-09      出版日期: 2018-02-20
:  P631.4  
基金资助:国家自然科学基金项目“煤矿灾害事件与地震槽波波场特征示范研究——煤层厚度变异与断裂构造和采空区探测”(41130419)
作者简介:

作者简介: 蒋锦朋(1987-), 男, 博士生, 主要从事地震正反演方面的研究。 Email:jiangjp2812@126.com

引用本文:   
蒋锦朋, 朱培民. 非穿透体和起伏地表模型的FMM走时计算[J]. 物探与化探, 2018, 42(1): 166-171.
Jin-Peng JIANG, Pei-Min ZHU. FMM-based travel time calculation in complex model including non-penetrating abnormal body and irregular ground surface. Geophysical and Geochemical Exploration, 2018, 42(1): 166-171.
链接本文:  
https://www.wutanyuhuatan.com/CN/10.11720/wtyht.2018.1.20      或      https://www.wutanyuhuatan.com/CN/Y2018/V42/I1/166
  FMM波前推进示意(参考Rawlinson等,2004)[13]
  震源附近细分网格波前推进(参考Rawlinson等,2004)[13]

a—震源附近细分的网格和窄带区;b—细分网格点窄带区映射到相应的粗网格中的窄带区;“☆”表示震源,“▲”表示粗网格点,圆形“●”表示细分的网格点,黑色粗线表示窄带区

  含非穿透体和地表模型FMM二维波前推进示意

a—窄带区未穿过非穿透体;b—窄带区正穿过非穿透体;c—窄带区完全穿过非穿透体并重新融合

  包含非穿透体模型时间场及其误差分布

a—一阶FMM;b—二阶FMM;c—图a的误差分布;d—图b的误差分布

均方差/ms 耗时/s
一阶FMM 1.167×10-4 0.496
二阶FMM 1.643×10-4 0.508
  算法精度和效率对比
  包含非穿透体模型时间场及射线路径
  三维复杂模型以及时间场

a—含非穿透体并具有起伏地表的三维模型透视;b—三维时间分布;c—时间场切片(y=10 m)

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