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隧道建设(中英文)

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基于高阶交错网格有限差分的隧道超前探测地震波场模拟

张焕钧1,陈祖斌1,*,李昊1,杨兴林1   

  1. 1.吉林大学仪器科学与电气工程学院,长春 130026

  • 出版日期:2021-03-17 发布日期:2021-03-17

Seismic wave field simulation of tunnel advanced detection based on high order staggered grid finite difference method

Zhang Huanjun1, Chen Zubin1,*, Li Hao1, Yang Xinglin1   

  1. (1.College of Instrument Science and Electrical Engineering]ilinUniversityChangchun130026China)

  • Online:2021-03-17 Published:2021-03-17

摘要: 地震数值正演模拟是为了给隧道超前探测提供良好的模拟数据,并评价反演的准确性和稳定性所进行的仿真计算。但直接采用地面勘探所使用的数值模拟方法会产生运算速度慢,边界吸收效果差,频散严重等一系列问题。本文提出一种针对隧道超前探测的正演模拟方法,包括利用高阶交错网格有限差分求解一阶速度-应力弹性波方程来获取任意时刻的波场信息,选择合适的网格精度和差分阶数满足稳定条件,使用一种新衰减函数的PMLPerfectly matched layer)吸收边界来处理人为边界造成的反射问题,利用交错网格和FCTFlux Corrected Transport)通量传输矫正法抑制频散。最后,本文建立了非均匀介质倾斜层状隧道模型和空洞隧道模型,对上述方法进行了仿真模拟,得到了清晰的波场和道集数据,证明了上述正演方法的可行性。

关键词: 隧道超前探测, 地震波场模拟, 数值计算, PML吸收边界

Abstract: The purposeof seismic numerical forward modeling is to provide good simulation data for tunnel advanced detection and evaluate the accuracy and stability of inversion. However, the direct use of numerical simulation methods used in surface exploration will lead to a series of problems, such as slow calculation speed, poor boundary absorption effect and serious dispersion. In this paper, a forward simulation method for tunnel advanced detection is proposed, which includes solving the first-order velocity stress elastic wave equation with high-order staggered grid finite-difference method to obtain wave field information at any time, selecting suitable mesh accuracy and difference order satisfying stability conditions, using PML (Perfectly matched layer) absorbing boundary of new attenuation function to deal with reflection problem caused by artificial boundary, and using staggered grid and FCT(Flux Corrected Transport) method to suppress dispersion. Finally, this paper establishes the inclined layered tunnel model and the cavity tunnel model in heterogeneous media, simulates the above methods, and obtains clear wave field and gather data, which proves the feasibility of the forward modeling method in this paper.

Key words: Tunnel advance detection, Seismicwave field simulation, numerical calculation, PML absorption boundary