지구물리와물리탐사 (Geophysics and Geophysical Exploration)

  • 제16권4호
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  • Pages.217-224
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  • 2013
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  • 1229-1064(pISSN)
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  • 2384-051X(eISSN)
한국지구물리·물리탐사학회 (Korean Society of Earth and Exploration Geophysicists)
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3차원 전기비저항 모니터링 자료의 시간경과 역산

Time-lapse Inversion of 3D Resistivity Monitoring Data

  • 김연정 (강원대학교 지구물리학과) ;
  • 조인기 (강원대학교 지구물리학과) ;
  • 용환호 (한국농어촌공사 농어촌기술연구소) ;
  • 송성호 (한국농어촌공사 농어촌기술연구소)
  • Kim, Yeon-Jung (Department of Geophysics, Kangwon National University) ;
  • Cho, In-Ky (Department of Geophysics, Kangwon National University) ;
  • Yong, Hwan-Ho (Rural Research Institute, Korea Rural Community Corporation) ;
  • Song, Sung-Ho (Rural Research Institute, Korea Rural Community Corporation)
  • 투고 : 2013.02.12
  • 심사 : 2013.10.29
  • 발행 : 2013.11.30
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초록

모델변수의 증감 및 분해능을 고려하는 새로운 교차모델 제한자를 사용한 시간경과 역산 알고리듬을 개발하였다. 증감을 고려한 교차모델 제한자는 같은 변화비를 갖는 모델변수에 같은 제한을 가한다. 이 교차모델 제한자는 모델변수의 증감에 관계없이 의미 있는 변화를 보이는 모델변수들을 강조할 수 있다. 분해능 교차모델 제한자는 분해능이 낮은 모델변수에 작은 제한을 가하는 반면, 분해능이 높은 모델변수에는 큰 제한을 가한다. 따라서 분해능이 낮은 모델변수도 시간 경과에 따라 의미 있는 변화를 보일 경우 효과적으로 식별할 수 있다. 3차원 전기비저항 모니터링 자료의 수치실험을 통하여 이들 두 교차모델 제한자의 타당성을 검증하였다. 최종적으로, 방조제의 안정성 평가를 위하여 서해안에 위치한 방조제에서 얻은 3 차원 전기비저항 모니터링 자료의 처리에 개발된 시간경과 역산법을 적용하였다. 시간경과 역산의 결과 모니터링이 수행된 기간 동안 방조제에 주목할 만한 변화가 없는 것으로 해석되었다.

We developed a time-lapse inversion using new cross-model constraints based on change ratio and resolution of model parameters. The cross-model constraint based on change ratio imposes the same penalty on the model parameters with equal change ratio. This constraint can emphasize the model parameters with significant change regardless of their increase or decrease. The resolution cross-model constraint imposes a small penalty on the model parameters with poor resolution, but a large penalty on the model parameters with good resolution. Thus, the model parameter with poor resolution can be effectively identified in the inversion result if they are significantly changed with time. Through the numerical tests for 3D resistivity monitoring data sets, the performance of these two cross-model constraints was confirmed. Finally, for the safety estimation of a sea dyke, we applied the developed time-lapse inversion to the 3D resistivity monitoring data that were acquired at a sea dike located in western coastal area of Korea. The result of time-lapse inversion suggested that there were no significant changes at the sea dike during the monitoring period.

키워드

참고문헌

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피인용 문헌

  1. The Estimation of Seepage Blocking State with the Normalized Hydraulic Head Loss Rate at Each Seepage Segment in Sea Dike Embankment vol.56, pp.6, 2014, https://doi.org/10.5389/KSAE.2014.56.6.159