Electrical impedance imaging for cavity detection

WU Zeyu; LIU Zuoqiu; WANG Li

doi:10.13471/j.cnki.acta.snus.2020B094

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Electrical impedance imaging for cavity detection

Research articles | 更新时间：2023-11-01

- Electrical impedance imaging for cavity detection
- Acta Scientiarum Naturalium Universitatis Sunyatseni Vol. 61, Issue 2, Pages: 100-105(2022)
- 作者机构：
  
  中山大学航空航天学院，广东广州 510006
- 作者简介：
- 基金信息：
- DOI：10.13471/j.cnki.acta.snus.2020B094
  CLC： TB123
- Published：25 March 2022，
  
  Published Online：21 May 2021，
  
  Received：10 September 2020，
  
  Accepted：12 October 2020
扫描看全文
吴泽宇,刘祚秋,汪利.电阻抗成像探测地下溶洞的几种方法[J].中山大学学报(自然科学版),2022,61(02):100-105.

WU Zeyu,LIU Zuoqiu,WANG Li.Electrical impedance imaging for cavity detection[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2022,61(02):100-105.
吴泽宇,刘祚秋,汪利.电阻抗成像探测地下溶洞的几种方法[J].中山大学学报(自然科学版),2022,61(02):100-105. DOI： 10.13471/j.cnki.acta.snus.2020B094.

WU Zeyu,LIU Zuoqiu,WANG Li.Electrical impedance imaging for cavity detection[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2022,61(02):100-105. DOI： 10.13471/j.cnki.acta.snus.2020B094.

摘要

电阻抗成像探测溶洞是一个典型的反问题，具有一定的非适定性或病态性，即对测量误差十分敏感。为了克服非适定性的缺陷，引入正则化方法。考虑两种有效的正则化方法—Tikhonov正则化和稀疏正则化，以两种不同的求解方式—线性近似直接求解和迭代求解进行求解。因设备相对简单，数据获取比较方便，对材料非均匀性不敏感等，文章使用电阻抗成像探测了地下溶洞。最后，通过数值算例对比了几种方法的效果。

Abstract

Electroimpedance tomography (EIT) is a typical inverse problem in karst cave detection

which is ill-posedness and very sensitive to measurement error. In order to overcome the defect of ill-posedness， the regularization method should be introduced. In this paper， we mainly consider Tikhonov regularization and sparse regularization. Then， two different methods-linear approximate direct solving method and iterative solution method is used to solve the problem. And， EIT is used to detect underground karst caves

because of some advantages， such as relatively simple equipment， convenient data acquisition and insensitive to material inhomogeneity.Finally， a numerical example is given to compare the effects of these methods.

关键词

电阻抗成像溶洞探测Tikhonov正则化稀疏正则化灵敏度分析

Keywords

EITcavity detectionTikhonov regularizationsparse regularizationsensitivity analysis

references

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桂芝，杨硕，李颖，等. 阻抗断层成像技术综述［J］. 北工业大学学报，2004，33（2）：35-40.

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MORE J J. The Levenberg-Marquardt algorithm：implementation and theory，in numerical analysis［C］//Proce-edings of the 1977 Dundee Conference on Numerical Analysis，Lecture Notes in Mathematics 630. Berlin：Springer Verlag，1978：105-116.

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School of Aeronautics and Astronautics, Sun Yat-sen University

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2．中山大学应用力学与工程系

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