吉林大学学报(地球科学版) ›› 2018, Vol. 48 ›› Issue (3): 872-880.doi: 10.13278/j.cnki.jjuese.20170093

• 地球探测与信息技术 • 上一篇    下一篇

基于环形扫面测量的三维直流电阻率法任意各向异性模型响应特征

殷长春, 杨志龙, 刘云鹤, 张博, 齐彦福, 曹晓月, 邱长凯, 蔡晶   

  1. 吉林大学地球探测科学与技术学院, 长春 130026
  • 收稿日期:2017-09-07 出版日期:2018-05-26 发布日期:2018-05-26
  • 通讯作者: 杨志龙(1991-),男,硕士研究生,主要从事电磁三维正反演及应用研究,E-mail:zhilongyang_2015@163.com E-mail:zhilongyang_2015@163.com
  • 作者简介:殷长春(1965-),男,教授,国家"千人计划"特聘专家,主要从事电磁勘探理论,特别是航空和海洋电磁方面的研究,E-mail:yinchangchun@jlu.edu.cn
  • 基金资助:
    国家自然科学基金重点项目（41530320）；国家自然科学青年基金项目（41404093）；国家重点研发计划项目（2016YFC0303100，2017YFC0601903）

Characteristics of 3D DC Resistivity Response for Arbitrary Anisotropic Models Using Circular Scanning Measurement

Yin Changchun, Yang Zhilong, Liu Yunhe, Zhang Bo, Qi Yanfu, Cao Xiaoyue, Qiu Changkai, Cai Jing   

  1. College of GeoExploration Science and Technology, Jilin University, Changchun 130026, China
  • Received:2017-09-07 Online:2018-05-26 Published:2018-05-26
  • Supported by:
    Supported by Key Program of National Nature Science Foundation of China(41530320), China Natural Science Foundation for Young Scientists(41404093) and Key National Research Project of China(2016YFC0303100, 2017YFC0601903)

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摘要： 高精度地下任意各向异性介质电性分布特征识别是当前的热门研究课题。本文以国内外前人工作为基础，基于非结构化网格，利用基于梯度恢复的后验误差估计指导网格自适应细化过程，实现了直流电阻率法三维有限元数值模拟。通过与一维模型半解析解的对比，验证了本文算法的有效性。考虑到电各向异性介质在观测中存在视电阻率反常现象，本文采用了环形扫面测量方法。通过对几种典型各向异性模型的模拟分析，得到了相应的各向异性影响规律和识别特征，各向异性主轴电阻率之间的比值大小决定了椭圆型视电阻率极性曲线长轴与短轴的比值大小，主轴电阻率的旋转方向会改变视电阻率极性曲线的形状。本文的算法研究及数值模拟技术可为直流电法数据精细处理和解释提供技术支撑。

关键词: 数值模拟, 非结构网格, 自适应有限元, 电各向异性, 环形扫面测量

Abstract: Modelling and identification of subsurface electrical anisotropy has always been a hot topic in the geophysical community. This paper presents a 3D anisotropic forward modelling algorithm using an adaptive finite-element method based on unstructured grids. Based on the existing research, we analyzed the typical anisotropic models, and studied the characteristics of the apparent resistivity related to the electrical anisotropic media and the identification of underground electrical anisotropy. Considering the existence of anisotropic paradox, we applied the circular direct current (DC) scanning measurement. The ratio of the principal resistivity affects the ratio of the major axis to the minor axis in the elliptical polar apparent resistivity curve, and the rotation direction of the principal resistivity changes the shape of the polar curve. The adaptive finite-element code is checked for accuracy against 1D semi-analytical solutions for an arbitrary anisotropic earth. The algorithm and results of our numerical experiments provide a technical support to the processing and interpretation of DC resistivity data.

Key words: numerical modelling, unstructured grids, adaptive finite-element method, electrical anisotropy, circular scanning measurement

中图分类号: 

  • P631.3
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