• 论文
主办单位:煤炭科学研究总院有限公司、中国煤炭学会学术期刊工作委员会
基于Julia加速的射频大地电磁法正演模拟与位移电流作用研究
  • Title

    Forward modeling of radio-magnetotelluric method based on Julia acceleration and study on effect of displacement current

  • 作者

    梅竹虚原源周峰周聪张林成

  • Author

    MEI Zhuxu;YUAN Yuan;ZHOU Feng;ZHOU Cong;ZHANG Lincheng

  • 单位

    核技术应用教育部工程研究中心(东华理工大学)东华理工大学地球物理与测控技术学院湖南城市学院信息与电子工程学院

  • Organization
    Engineering Research Center of Nuclear Technology Application (East China University of Technology), Ministry of Education
    School of Geophysics and Measurement-Control Technology, East China University of Technology
    College of Information and Electronic Engineering, Hunan City University
  • 摘要
    射频大地电磁法(Radio-magnetotelluric, RMT)是浅地表电磁勘探的重要手段之一。由于勘探频段为10~300 kHz,其电磁场传播受地下介质介电常数的影响较大。传统准静态条件下的电磁响应严重制约RMT正演模拟精度,并进一步影响反演成像分辨率。针对这一问题,提出了一种基于Julia并行加速的全电流RMT电磁响应数值模拟方法,利用Julia的分布式计算将各频点的计算发送到不同进程进行求解,从而达到加速计算的目的,同时在计算中考虑位移电流的影响,提升正演的模拟精度。通过计算几种典型高阻/高介电模型的RMT响应,分析并总结了位移电流对射频段电磁场视电阻率及相位响应的影响规律。数值模拟结果表明:当浅部存在高阻覆盖层时,基于准静态假设条件计算的RMT视电阻率和相位响应偏高,且频率越高、覆盖层电阻率越大,响应偏差越大;对于煤炭采空区模型,RMT法能有效反映异常体位置,但忽略位移电流会在采空区及其附近引起较大计算误差;起伏地形的算例表明地形会覆盖地下异常体的RMT数值响应,尤其是地形拐角处;2种不同规模的并行算例对比证明了并行算法的高效性,且随着求解问题规模增大,并行算法效率也随之增大。本文研究提高了RMT的正演速度与精度,为后续快速反演算法的实现奠定基础,数值算例表明RMT法在煤田采空区等实际勘探中具有较好的应用前景。
  • Abstract

    Radio-magnetotelluric method (RMT) is one of the important tools for shallow surface electromagnetic exploration. Since the exploration frequency band is 10‒300 kHz, the propagation of electromagnetic fields is greatly affected by the dielectric permittivity of the earth. The electromagnetic response calculated with traditional quasi-static conditions severely restricts the accuracy of RMT forward modeling and further affects the resolution of the inversion imaging. In response to this problem, a numerical simulation method of full-current RMT electromagnetic response based on Julia parallel acceleration was proposed. Then, the calculation of each frequency point was sent through the distributed computing in Julia to different processes for solving, so as to achieve the purpose of accelerating the calculation. At the same time, the influence of displacement current was considered in the calculation to improve the accuracy of forward modeling. Besides, the influence law of displacement current on the apparent resistivity and phase response of electromagnetic field in the radio frequency band was analyzed and summarized by calculating the RMT response of several typical high-resistance/high-dielectric models. The numerical simulation results show that: The calculated RMT apparent resistivity and phase response under the quasi-static conditions were relatively high in case that a high-resistance overburden is present in the shallow surface. Besides, the higher the frequency, the greater the resistivity of the overburden, and the larger the response deviation is. For the coal goaf model, the RMT method can effectively reflect the location of the abnormal body, but ignoring the displacement currents may cause a large calculation error in the goaf and its vicinity. As shown in the calculation example of rugged terrains, the RMT numerical response of underground anomalous body may be covered by the terrain, especially at the corner of terrain. Further, the parallel numerical examples at two different scales comparatively demonstrate the efficiency of the parallel algorithm herein, and the efficiency of the parallel algorithm is improved with the increasing scale of the problem to be solved. Our research improved the computational efficiency and accuracy of RMT forward modeling, laying the foundation for the realization of subsequent rapid inversion algorithm. In addition, the numerical calculation examples also indicate that the RMT method has a good application prospect in the actual exploration of coal goaf.

  • 关键词

    射频大地电磁法位移电流有限元正演并行计算Julia语言

  • KeyWords

    radio-magnetotelluric method;displacement currents;finite element method;parallel calculation;Julia

  • 基金项目(Foundation)
    国家自然科学基金项目(41904073,42264006);核技术应用教育部工程研究中心开放基金项目(HJSJYB2021-18);
  • 文章目录
    1 RMT二维正演算法
    1.1 RMT与MT的区别及位移电流的影响
    1.2 二维全电流RMT边值问题
    1.3 有限元方程构建
    1.4 基于Julia的并行算法
    2 数值算例
    2.1 层状模型RMT响应验证与位移电流作用分析
    2.1.1 程序验证
    2.1.2 三层模型的位移电流作用分析
    2.2 空气层厚度对RMT响应的影响
    2.3 起伏地形下位移电流对电磁响应的影响
    2.4 采空区模型
    2.5 带地形的高阻基岩断层模型
    2.6 并行算法的效率分析
    3 结论
  • DOI
  • 引用格式
    梅竹虚,原源,周峰,周聪,张林成.基于Julia加速的射频大地电磁法正演模拟与位移电流作用研究[J].煤田地质与勘探,2023,51(03):153-167.
  • Citation
    MEI Zhuxu,YUAN Yuan,ZHOU Feng,et al. Forward modeling of radio-magnetotelluric method based on Julia acceleration and study on effect of displacement current[J]. Coal Geology & Exploration,2023,51(3):153−168
  • 图表
    •  
    •  
    • 主要频率域电磁勘探方法的频率范围和勘探深度

    图(19) / 表(0)

相关问题

主办单位:煤炭科学研究总院有限公司 中国煤炭学会学术期刊工作委员会

©版权所有2015 煤炭科学研究总院有限公司 地址:北京市朝阳区和平里青年沟东路煤炭大厦 邮编:100013
京ICP备05086979号-16  技术支持:云智互联