Geophysics and Geophysical Exploration (지구물리와물리탐사)

Korean Society of Earth and Exploration Geophysicists (한국지구물리·물리탐사학회)
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A Comparative Study of 3D MT Modeling Methods

3차원 MT 모델링 기법의 비교 분석

  • Han, Nu-Ree (Dept. of Civil, Urban & Geosystem Eng., Seoul National University) ;
  • Nam, Myung-Jin (Dept. of Petroleum and Geosystems Eng., The University of Texas at Austin) ;
  • Kim, Hee-Joon (Dept. of Environmental Exploration Eng., Pukyong National University) ;
  • Song, Yoon-Ho (Korea Institute of Geoscience and Mineral Resources) ;
  • Suh, Jung-Hee (Dept. of Civil, Urban & Geosystem Eng., Seoul National University)
  • 한누리 (서울대학교 지구환경시스템공학부) ;
  • 남명진 ;
  • 김희준 (부경대학교 환경탐사공학과) ;
  • 송윤호 (한국지질자원연구원 지하수지열연구부) ;
  • 서정희 (서울대학교 지구환경시스템공학부)
  • Published : 2007.05.31
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Abstract

This paper compares the characteristics of three different algorithms for three-dimensional (3D) magnetotelluric (MT) modeling. These methods are developed by Mackie et al. (1994), Sasaki (1999) and Nam et al. (2007). The first and second methods are based on the finite difference method (FDM), while the last one the finite-element method (FEM). MT responses, apparent resistivities and phases, for a COMMEMI 3D-2 model show a good agreement with integral equation solutions and only minor discrepancies are found over the anomalous bodies in the 3D model. The computation time of the two methods based on FDM is short and the static divergence correction contributes to speed up. The FEM modeling scheme is accurate but slow.

이 논문에서는 Mackie et al. (1994), Sasaki (1999) 및 Nam et al. (2007)이 개발한 3차원 자기지전류 탐사 모델링 알고리듬의 특징을 자세히 비교 분석하고자 한다. Mackie et al. (1994)과 Sasaki (1999)의 알고리듬은 유한차분법(FDM)에 기초한 반면, Nam et al. (2007)의 알고리듬은 변유한요소법(EFEM)에 기초하고 있다. 이들 세 가지 방법으로 COMMEMI 3D-2 모형의 해를 구하고 적분방정식법의 해와 비교하였으며, 또한 세 가지 격자에 대해 세 개 주파수에서 계산시간을 비교하였다. FDM에 기반을 둔 두 가지 기법에서는 EFEM을 이용하는 경우보다 빠른 시간에 해를 계산할 수 있으며 이때 계산된 겉보기비저항과 위상은 전체적으로 적분방정식법의 해와 잘 일치하였으며 이상체 근처에서만 작은 차이를 보인다. 한편 EFEM에 기초한 알고리듬도 비교적 합리적인 시간 내에 매우 정확한 해를 계산할 수 있으며 지형을 포함한 경우에도 해를 계산할 수 있는 장점이 있다.

Keywords

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