Geophysics and Geophysical Exploration (지구물리와물리탐사)

Korean Society of Earth and Exploration Geophysicists (한국지구물리·물리탐사학회)
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Reverse-time Migration for VTI and TTI Media

VTI 및 TTI 매질에서의 역시간 구조보정

  • Kwak, Na-Eun (Dept. of Energy Systems Engineering, Seoul National University) ;
  • Min, Dong-Joo (Dept. of Energy Systems Engineering, Seoul National University) ;
  • Bae, Ho-Seuk (Dept. of Energy Systems Engineering, Seoul National University)
  • 곽나은 (서울대학교 에너지시스템공학부) ;
  • 민동주 (서울대학교 에너지시스템공학부) ;
  • 배호석 (서울대학교 에너지시스템공학부)
  • Received : 2011.06.13
  • Accepted : 2011.07.01
  • Published : 2011.08.31
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Abstract

Reserve-time migration (RTM) using a two-way wave equation is one of the most accurate migration techniques. RTM has been conducted by assuming that subsurface media are isotropic. However, anisotropic media are commonly encountered in reality. Conventional isotropic RTM may yield inaccurate results for anisotropic media. In this paper, we develop RTM algorithms for vertical transversely isotropic media (VTI) and tilted transversely isotropic media (TTI). For this, the pseudo-acoustic wave equations are used. The modeling algorithms are based on the high-order finite-difference method (FDM). The RTM algorithms are composed using the cross-correlation imaging condition or the imaging condition using virtual sources. By applying the developed RTM algorithms to the Hess VTI and BP TTI models, we could obtain better images than those obtained by the conventional isotropic RTM.

역시간 구조보정은 양방향 파동방정식을 이용하여 지하 구조를 영상화하는 정확성이 높은 구조보정 기법으로, 최근까지 주로 지하 매질을 등방성 매질로 가정하고 실시되어 왔다. 그러나 실제 지하매질은 이방성을 띠는 경우가 많으므로 역시간 구조보정 시 이를 고려한다면 영상의 정확도가 향상될 것으로 기대된다. 이에 본 연구에서는 대표적인 이방성매질인 VTI 및 TTI 매질에서의 역시간 구조보정 기술을 개발하였다. 이를 위하여 탄성 파동방정식을 음향 파동방정식으로 근사시킨 유사음향 파동방정식을 고차근사 유한차분법에 기반하여 모델링하였다. 역시간 구조보정 알고리듬으로는 상호상관을 이용한 영상화 기법과 가상 송신원을 이용한 영상화 기법을 모두 사용하였다. 완성된 알고리듬을 벤치마킹 모델인 Hess VTI 및 BP TTI 모델에 적용해본 결과, 본 연구에서 개발한 역시간 구조보정 알고리듬을 통하여 매질의 이방성을 고려해주었을 때 결과단면의 정확도가 크게 향상되는 것을 확인할 수 있었다.

Keywords

Acknowledgement

Supported by : 한국에너지기술평가원(KETEP)

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