Electrical Resistivity Tomography for Inverse Problem Using FEM

유한요소법을 이용한 전기 비저항 탐사법의 저항역산

  • Lim, Sung-Ki (School of Electrical Engineering, Seoul National University) ;
  • Kim, Min-Kyu (School of Electrical Engineering, Seoul National University) ;
  • Jung, Hyun-Kyo (School of Electrical Engineering, Seoul National University) ;
  • Koh, Chang-Seop (CAD/CAM Lab., Research & Development Center, Sam sung Electro-mechanics Co.,Ltd)
  • 임성기 (서울대학교 공과대학 전기공학부) ;
  • 김민규 (서울대학교 공과대학 전기공학부) ;
  • 정현교 (서울대학교 공과대학 전기공학부) ;
  • 고창섭 (삼성전기 종합연구소 CAD/CAM 연구실)
  • Published : 1996.07.22

Abstract

A new method for electric resistivity tomography(ERT) is developed for geophysical inverse problems by adapting the sensitivity analysis. The outputs of the potential electrodes are computed using two dimensional finite element method in the wave number space by Fourier transforming the governing equations. The resistance distribution in the region of interests, which makes the computed potential distribution coincide with the measured potential, is found by minimizing the objective function using an optimization method. In this process the sensitivity analysis is introduced in order to compute the derivatives of the objective function. And an adjoint variable method is used to save the computational efforts for sensitivity coefficients.

Keywords