Geophysics and Geophysical Exploration (지구물리와물리탐사)

Korean Society of Earth and Exploration Geophysicists (한국지구물리·물리탐사학회)
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A Scheme for Computing Time-domain Electromagnetic Fields of a Horizontally Layered Earth

수평다층구조에 대한 시간영역 전자기장의 계산법

  • Jang, Hangilro (Department of Energy Resources Engineering, Pukyong National University) ;
  • Kim, Hee Joon (Department of Energy Resources Engineering, Pukyong National University)
  • 장한길로 (부경대학교 에너지자원공학과) ;
  • 김희준 (부경대학교 에너지자원공학과)
  • Received : 2013.02.04
  • Accepted : 2013.07.26
  • Published : 2013.08.31
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Abstract

A computer program has been developed to estimate time-domain electromagnetic (EM) responses for a onedimensional model with multiple source and receiver dipoles that are finite in length. The time-domain solution can be obtained by applying an inverse fast Fourier transform (FFT) to frequency-domain fields for efficiency. Frequency-domain responses are first obtained for 10 logarithmically equidistant frequencies per decade, and then cubic spline interpolated to get the FFT input. In the case of phases, the phase curve must be made to be continuous prior to the spline interpolation. The spline interpolated data are convolved with a source current waveform prior to FFT. In this paper, only a step-off waveform is considered. This time-domain code is verified with an analytic solution and EM responses for a marine hydrocarbon reservoir model. Through these comparisons, we can confirm that the accuracy of the developed program is fairly high.

유한길이의 다중 송수신 쌍극자에 의한 수평다층구조의 시간영역 전자기장을 계산하기 위한 컴퓨터 프로그램을 개발하였다. 시간영역 반응은 주파수영역에서 계산된 값에 빠른 역푸리에변환(inverse fast Fourier transform: FFT)을 적용하여 효율적으로 얻을 수 있다. 먼저 대수영역에서 등간격으로 한 decade 당 10개의 주파수영역 반응을 구한 후 FFT를 적용시키기 위해 3차 스플라인 사이채움(cubic spline interpolation)을 실시한다. 이 때 위상의 경우에는 스플라인 사이채움 이전에 위상곡선을 연속적으로 만들어 주는 과정이 추가된다. 스플라인 사이채움된 자료들은 송신전류파형과 곱말기(convolution)를 한 후 FFT를 통해 시간영역 자료로 만들어진다. 이 논문에서는 step-off 파형만 고려하였다. 개발된 시간영역 프로그램은 해석해와 해양 탄화수소 저류층 모델에 대한 반응을 이용하여 검증하였으며, 그 결과는 충분히 정확함을 확인 할 수 있었다.

Keywords

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