• Title/Summary/Keyword: 역산기법

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Application Techniques of 2D-Resistivity Structure for Estimation of Inferred Fracture Zone in Weathered Slope (풍화사면에서의 추정파쇄대 평가를 위한 2차원 전기비저항 구조도 적용 기법)

  • Kim, Jae-Hong;Park, Chal-Sook;Lee, Hyun-Jae;Jeong, Gyo-Cheol
    • The Journal of Engineering Geology
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    • v.19 no.3
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    • pp.323-330
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    • 2009
  • Electrical resistivity survey is applied for estimation of inferred fault and fractured zone in civil engineering and environment field. While 15 m diameter and 3 lines tunnels are excavated. It is recognized that core stone and fractured zone is existed in the weathered slope of the entrance to a tunnel. To make confirmation geological characteristics, dipole-dipole electric resistivity survey was carried out in weathered slope of the entrance to a tunnel. Core stone distribution and fracture zone characteristics are estimated by reverse analysis and 2D-resistivity structure using FDM.

Analysis of Microwave Inverse Scattering Using the Broadband Electromagnetic Waves (광대역 전자파를 이용한 역산란 해석 연구)

  • Lee Jung-Hoon;Chung Young-Seek;So Joon-Ho;Kim Junyeon;Jang Won
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.17 no.2 s.105
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    • pp.158-164
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    • 2006
  • In this paper, we proposed a new algorithm of the inverse scattering for the reconstruction of unknown dielectric scatterers using the finite-difference time-domain method and the design sensitivity analysis. We introduced the design sensitivity analysis based on the gradient information for the fast convergence of the reconstruction. By introducing the adjoint variable method for the efficient calculation, we derived the adjoint variable equation. As an optimal algorithm, we used the steepest descent method and reconstructed the dielectric targets using the iterative estimation. To verify our algorithm, we will show the numerical examples for the two-dimensional $TM^2$ cases.

Robust inversion of seismic data using ${\ell}^1/{\ell}^2$ norm IRLS method (${\ell}^1/{\ell}^2$ norm IRLS 방법을 사용한 강인한 탄성파자료역산)

  • Ji Jun
    • 한국지구물리탐사학회:학술대회논문집
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    • 2005.05a
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    • pp.227-232
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    • 2005
  • Least squares (${\ell}^2-norm$) solutions of seismic inversion tend to be very sensitive to data points with large errors. The ${\ell}^p-norm$ minimization for $1{\le}p<2$ gives more robust solutions, but usually with higher computational cost. Iteratively reweighted least squares (IRLS) gives efficient approximate solutions of these ${\ell}^p-norm$ problems. I propose a simple way to implement the IRLS method for a hybrid ${\ell}^1/{\ell}^2$ minimization problem that behaves as ${\ell}^2$ fit for small residual and ${\ell}^1$ fit for large residuals. Synthetic and a field-data examples demonstrates the improvement of the hybrid method over least squares when there are outliers in the data.

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Field Application of 3D seismic travel-time tomography (3차원 탄성파 지대공 토모그래피 현장 적용)

  • Moon, Yun-Seop;Ha, Hee-Sang;Lim, Harry;Ko, Kwang-Beom
    • 한국지구물리탐사학회:학술대회논문집
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    • 2006.06a
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    • pp.233-237
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    • 2006
  • 3D travel time tomography was conducted to characterize the subsuface structure in the valley area. In this study, an area($200m{\times}200m$), where borehole informations were available to aid in the interpretation, was covered with wide source/receiver coverage. In data acquisition, both hole to hole and reverse VSP array was employed. For the inversion, 3D seismic traveltime tomography algorithm based on Fresnel volume was implemented. When compared 3D velocity cube with the geological survey and drilling logs, both results were matched well. From this, we concluded that 3D seismic travel time tomography has enough potential to the field application.

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Electromagnetic Survey in Korea (한국의 전자탐사 현황)

  • Cho, Dong-Heng
    • Economic and Environmental Geology
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    • v.39 no.4 s.179
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    • pp.427-440
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    • 2006
  • Electromagnetic(EM) survey has been in use for over a half century as a standard routine for, mineral exploration in many parts of the world. But EM survey work and serious research effort were initiated in Korea only as late as in early 1980s, largely inspired by four pioneers who did their graduate studies in the U.S.A. in 1970s. Nevertheless domestic achievements in the field of EM survey are remarkable in the last two decades: the field operations and related interpretational skills appear to have reached a global standard, even compared with the most advanced in other countries, virtually in a whole spectrum of the method which includes magneto-tellurics(MT), Controlled Source Audio-frequency Magneto-tellurics(CSAMT), geomagnetic sounding, small loop survey systems, Very Low Frequency(VLF), Ground Penetrating Radar(GPR), time domain surveys, and noise analysis. Besides mineral exploration, EM survey has been applied in Korea to hydrogeology, geotechnical engineering, non-destructive investigation of structures, unexplored ordnance(UXO) investigation, environmental monitoring, and archaeological investigation as well. Now that original contributions of several Korean geophysicists are found even in new frontiers such as high-frequency EM survey, investigation in time-domain EM field for buried metal objects and structures, and also modem data inversion scheme, it is duly hoped that they make some technical breakthrough to unravel still entangled knots of EM survey method in a forseeable future.

Analysis of a Structure of the Kunsan Basin in Yellow Sea Using Gravity and Magnetic Data (중자력 자료를 이용한 황해 군산분지의 지질 구조 해석)

  • Park, Gye-Soon;Choi, Jong-Keun;Koo, June-Mo;Kwon, Byung-Doo
    • Journal of the Korean earth science society
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    • v.30 no.1
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    • pp.49-57
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    • 2009
  • We studied a structure of the Kunsan basin in the Yellow Sea using ship-borne magnetic data and altimetry satellite-derived gravity data provided from the Scripps institution of oceanography in 2006. The gravity data was analyzed via power spectrum analysis and gravity inversion, and the magnetic data via analytic signal technique, pseudo-gravity transformation, and its inversion. The results showed that the depth of bedrock tended to increase as we approached the center of the South Central Sag in Kunsan basin and that the maximum and minimum of its depth were estimated to be about 6-8 km and 2 km, respectively. Inaddition, the observed high anomaly of gravity and magnetism was attributed to the intrusion of igneous rock of higher density than the surrounding basement rock in the center of South Central Sag, which was consistent with the interpretation of seismic data obtained in the same region.

Rapid 2.5D Small-Loop EM Modeling by Extended Born Approximation (확장 Born 근사에 의한 소형루프 전자탐사법의 신속한 2.5차원 모델링)

  • Cho, In-Ky;Song, Sung-Ho;Suh, Jung-Hee
    • Geophysics and Geophysical Exploration
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    • v.10 no.4
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    • pp.308-313
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    • 2007
  • The small-loop electromagnetic technique has been used successfully for many geophysical qualitative investigations, particularly for shallow engineering and environmental surveys. Recently, various geophysical imaging methods based on numerical modeling and inversion have been tried in order to get more quantitative subsurface structure. However, conventional 2.5D small loop EM modeling takes a lot of time because responses should be calculated for several wave numbers and transformed into space domain. In this study, we developed a 2.5D HCP small loop EM modeling algorithm using extended Born approximation, which does not require transformation. Also, we checked its validity by comparison with other numerical results.

Three-dimensional resistivity imaging for site investigations in civil engineering (지반조사를 위한 3차원 전기비저항 탐사)

  • Chung Seung-Hwan;Yi Myeong-Jong;Kim Jung-Ho;Cho Seong-Jun;Song Yoonho
    • 한국지구물리탐사학회:학술대회논문집
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    • 1999.08a
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    • pp.21-36
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    • 1999
  • Recently resistivity survey is widely used for site investigations in the field of civil engineering. Since such application area requires accurate interpretation tools especially in the area of complicated geology and rough terrain topography, we developed a three-dimensional (3-D) resistivity inversion code, which can reconstruct real earth structures. Furthermore, the inversion code gives resolution-enhanced images by applying the ACB(Active Constraint Balancing) method. With the help of this inversion code, 3-D resistivity survey is now used as new techniques for site investigations in civil engineering problem. By imaging the 3-D resistivity distribution, we could get useful informations such as depth distribution of basement rock, distribution of weak zone, fractures and cavities which is crucial to civil engineers.

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Geoelectrical Structure and Groundwater Distribution in the South-eastern Region of Jeju Island Revealed by Controlled Source Audio-frequency Magneto Telluric (CSAMT) survey (인공송신원 가청주파수 자기지전류 탐사를 이용한 제주 동남부의 전기비저항 구조 및 지하수 분포 조사)

  • Yang, Jun-Mo;Kwon, Byung-Doo;Lee, Hei-Soon;Song, Sung-Ho;Park, Gyeo-Soon;Lee, Kyu-Sang
    • Economic and Environmental Geology
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    • v.40 no.1 s.182
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    • pp.67-85
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    • 2007
  • We have performed the CSAMT survey to examine the geoelectrical structure and groundwater distribution for two survey lines across the south-eastern region of Jeju Island. Three kinds of 1-D inversion techniques were employed taking account of the geological situation around the observation sites, and their inversion results were concurrently compared and analyzed to improve the reliability of interpretation. The resultant inverted resistivity structures reveals the three-layered structure, which is composed of the layers with a high-low-lower resistivity from the surface downward. Through the comparison of the inverted resistivity model and core log of deep borehole nearby observation sites, the lithology of each inverted layer was inferred. The first layer and second layer corresponded to the basaltic layer with a thickness of $100{\sim}250m$, and the third layer to the Seoguipo Formation and the U Formation; the thickness of the Seoguipo Formation could not be estimated due to the limitation of investigation depth and little resistivity difference between both Formations. Nevertheless, the Seoguipo Formation, which is strongly associated with the groundwater system in the south-eastern region of Jeju Island, showed the conspicuous spatial continuity from the middle mountain area to coastal area.

A Study on Consistency of Numerical Solutions for Wave Equation (파동방정식 수치해의 일관성에 관한 연구)

  • Pyun, Sukjoon;Park, Yunhui
    • Geophysics and Geophysical Exploration
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    • v.19 no.3
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    • pp.136-144
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    • 2016
  • Since seismic inversion is based on the wave equation, it is important to calculate the solution of wave equation exactly. In particular, full waveform inversion would produce reliable results only when the forward modeling is accurately performed because it uses full waveform. When we use finite-difference or finite-element method to solve the wave equation, the convergence of numerical scheme should be guaranteed. Although the general proof of convergence is provided theoretically, the consistency and stability of numerical schemes should be verified for practical applications. The implementation of source function is the most crucial factor for the consistency of modeling schemes. While we have to use the sinc function normalized by grid spacing to correctly describe the Dirac delta function in the finite-difference method, we can simply use the value of basis function, regardless of grid spacing, to implement the Dirac delta function in the finite-element method. If we use frequency-domain wave equation, we need to use a conservative criterion to determine both sampling interval and maximum frequency for the source wavelet generation. In addition, the source wavelet should be attenuated before applying it for modeling in order to make it obey damped wave equation in case of using complex angular frequency. With these conditions satisfied, we can develop reliable inversion algorithms.