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A 3D Magnetic Inversion Software Based on Algebraic Reconstruction Technique and Assemblage of the 2D Forward Modeling and Inversion

대수적 재구성법과 2차원 수치모델링 및 역산 집합에 기반한 3차원 자력역산 소프트웨어

  • Ko, Kwang-Beom (Technology Business Team, Technology Research Institute, Korea Resources Corporation) ;
  • Jung, Sang-Won (Geo Mecca Engineering, Co. Ltd.) ;
  • Han, Kyeong-Soo (Technology Business Team, Technology Research Institute, Korea Resources Corporation)
  • 고광범 (한국광물자원공사 기술연구원 기술사업팀) ;
  • 정상원 ((주) 지오메카 이엔지) ;
  • 한경수 (한국광물자원공사 기술연구원 기술사업팀)
  • Received : 2012.12.11
  • Accepted : 2013.02.19
  • Published : 2013.02.28

Abstract

In this study, we developed the trial product on 3D magnetic inversion tentatively named 'KMag3D'. Also, we briefly introduced its own function and graphic user interface on which especially focused through the development in the form of user manual. KMag3D is consisted of two fundamental frame for the 3D magnetic inversion. First, algebraic reconstruction technique was selected as a 3D inversion algorithm instead of least square method conventionally used in various magnetic inversion. By comparison, it was turned out that algebraic reconstruction algorithm was more effective and economic than that of least squares in aspect of both computation time and memory. Second, for the effective determination of the 3D initial and a-priori information model required in the execution of our algorithm, we proposed the practical technique based on the assemblage of 2D forward modeling and inversion results for individual user-selected 2D profiles. And in succession, initial and a-priori information model were constructed by appropriate interpolation along the strke direction. From this, we concluded that our technique is both suitable and very practical for the application of 3D magentic inversion problem.

본 연구를 통하여 3차원 자력역산 소프트웨어 시작품(KMag3D, 가칭)을 개발하고 개발 시 역점사항을 사용자 매뉴얼 형식으로 소개하였다. KMag3D는 다음 두 가지 사항을 기본 뼈대로 구성되었다. 첫째, 지금까지 자력역산에 일반적으로 적용되는 최소제곱법에 의한 방법 대신 대수적 재구성법에 기반한 알고리즘을 도입하였다. 이는 계산시간과 기억용량을 획기적으로 줄여 3차원 자력역산을 매우 효율적으로 수행한다. 둘째, 대수적 재구성법에 의한 3차원 역산에 필요한 초기모형과 사전정보 모형을 결정하는 데 2차원 수치모델링 및 역산 집합과 주향방향 내삽을 이용하는 방법을 제시하였다. 이는 3차원 역산 알고리즘에 사전정보를 효율적으로 적용하며 특히 매우 실용적임을 보여주었다.

Keywords

References

  1. Sungbon Koo, Taisup Lee, and Yeongsue Park, 1998, Aeromagnetic characteristics of the Samryangjin caldera area, Jigu-Mulli-wa-Mulli-Tamsa, 1, 101-109.
  2. Eunju Shin, Kwangbeom Ko, Youngjune You, and Yeonho Jung, 2012, A case study on the data processing and interpretation of aeromagnetic survey conducted in the low latitude area: Stung Treng, Cambodia, Jigu-Mulli-wa-Mulli-Tamsa, 15, 136-143. https://doi.org/10.7582/GGE.2012.15.3.136
  3. Dines, K. A., and Lytle, R. J., 1979, Computerized geophysical tomography: Proc. IEEE 67, 1065-1073. https://doi.org/10.1109/PROC.1979.11390
  4. Ivansson, S., 1986, Seismic borehole tomography - Theory and computational methods, Proc. IEEE 74, 328-338. https://doi.org/10.1109/PROC.1986.13459
  5. Jackson, D. D., 1972, Interpretation of inaccurate, insufficient and inconsistent data, Geophysical Journal of Royal Astronomical Society, 28, 97-109. https://doi.org/10.1111/j.1365-246X.1972.tb06115.x
  6. Kim, H. J., Song, Y. H., and Lee, K. H., 1999, Inequality constraint in least-squares inversion of geophysical data, Earth Planets Space, 51, 255-259. https://doi.org/10.1186/BF03352229
  7. Lelievre, P. G., 2003, Integrating geologic and geophysical data through advanced constrained inversions, Ph.D's Thesis, University of British Columbia, Canada.
  8. Li, Y., and Oldenburg, D. W., 1996, 3-D inversion of magnetic data, Geophysics, 61, 394-408. https://doi.org/10.1190/1.1443968
  9. Li, Y., and Oldenburg, D. W., 2003, Fast inversion of large-scale magnetic data using wavelet transforms and logarithmic barrier method, Geophysical Journal International, 152, 251-265. https://doi.org/10.1046/j.1365-246X.2003.01766.x
  10. Lines, L. R., and Treitel, S., 1983, Turorial: A review of least-squares inversion and its application to geophysical problems, Geophysical Prospecting, 32, 159-186.
  11. Van der Sluis, A., and Van der Vorst, H. A., 1987, Numerical solutions of large, sparse linear algebraic systems arising from tomographic problems, in Norlet, G., Ed. Seismic Tomography, 49-83.
  12. Williams, N. C., 1999, Geologically-constrained UBC-GIF gravity and magnetic inversions with examples from the Agnew-Wiluna Greenstone Belt, Western Australia, Ph.D's Thesis, University of British Columbia, Canada.

Cited by

  1. 3D Inversion of Aeromagnetic Data In an Area of Geumsan vol.17, pp.2, 2014, https://doi.org/10.7582/GGE.2014.17.2.049