• Title/Summary/Keyword: 4D inversion

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Application of Inversion Methods to Evaluate the State of Soft Soil using Electrical Resistivity Monitoring Data (전기비저항 모니터링 자료를 이용한 연약지반 평가를 위한 역산기법 적용 연구)

  • Ji, Yoonsoo;Oh, Seokhoon;Im, Eunsang
    • Geophysics and Geophysical Exploration
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    • v.17 no.2
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    • pp.104-113
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    • 2014
  • Electric resistivity monitoring was applied to evaluate the soft ground in reclaimed land in order to figure out the applicability of physical prospecting. For this, electrical resistivity monitoring data were acquired for total three months and analyzed those data with independent inversion, time-lapse inversion, and 4D inversion methods. The result was compared for various inversion methods so as to figure out what showed the soft soil most properly. Moreover, drilling and CPT(Cone Penetration Test) data were also used in order to find out if each of those inversion methods could distinguish either bed rock or the soft soil clearly. And according to the result, time-lapse inversion showed less inversion artifacts than independent inversion, so it could indicate the soft soil better. If data gained for a longer period than three months are used, 4D inversion has been found to be a more efficient analysis method than the time-lapse inversion method. Electrical resistivity monitoring on the soft soil has been found to be a useful method that can analyze the spatio-temporal electric state of the ground serially.

Application of 4-D resistivity imaging technique to visualize the migration of injected materials in subsurface (지하주입 물질 거동 규명을 위한 4차원 전기비저항 영상화)

  • Kim, Jung-Ho;Yi, Myeong-Jong
    • 한국지구물리탐사학회:학술대회논문집
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    • 2007.12a
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    • pp.31-42
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    • 2007
  • Dc resistivity monitoring has been increasingly used in order to understand the changes of subsurface conditions in terms of conductivity. The commonly adopted interpretation approach which separately inverts time-lapse data may generate inversion artifacts due to measurement error. Eventually the contaminated error amplifies the artifacts when reconstructing the difference images to quantitatively estimate the change of ground condition. In order to alleviate the problems, we defined the subsurface structure as four dimensional (4-D) space-time model and developed 4-D inversion algorithm which can calculate the reasonable subsurface structure continuously changing in time even when the material properties change during data measurements. In this paper, we discussed two case histories of resistivity monitoring to study the ground condition change when the properties of the subsurface material were artificially altered by injecting conductive materials into the ground: (1) dye tracer experiment to study the applicability of electrical resistivity tomography to monitoring of water movement in soil profile and (2) the evaluation of cement grouting performed to reinforce the ground. Through these two case histories, we demonstrated that the 4-D resistivity imaging technique is very powerful to precisely delineate the change of ground condition. Particularly owing to the 4-D inversion algorithm, we were able to reconstruct the history of the change of subsurface material property.

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Characteristics of Static Shift in 3-D MT Inversion (3차원 MT 역산에서 정적효과의 특성 고찰)

  • Lee Tae Jong;Uchida Toshihiro;Sasaki Yutaka;Song Yoonho
    • Geophysics and Geophysical Exploration
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    • v.6 no.4
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    • pp.199-206
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    • 2003
  • Characteristics of the static shift are discussed by comparing the three-dimensional MT inversion with/without static shift parameterization. The galvanic distortion by small-scale shallow feature often leads severe distortion in inverted resistivity structures. The new inversion algorithm is applied to four numerical data sets contaminated by different amount of static shift. In real field data interpretations, we generally do not have any a-priori information about how much the data contains the static shift. In this study, we developed an algorithm for finding both Lagrangian multiplier for smoothness and the trade-off parameter for static shift, simultaneously in 3-D MT inversion. Applications of this inversion routine for the numerical data sets showed quite reasonable estimation of static shift parameters without any a-priori information. The inversion scheme is successfully applied to all the four data sets, even when the static shift does not obey the Gaussian distribution. Allowing the static shift parameters have non-zero degree of freedom to the inversion, we could get more accurate block resistivities as well as static shifts in the data. When inversion does not consider the static shift as inversion parameters (conventional MT inversion), the block resistivities on the surface are modified considerably to match possible static shift. The inhomogeneous blocks on the surface can generate the static shift at low frequencies. By those mechanisms, the conventional 3-D MT inversion can reconstruct the resistivity structures to some extent in the deeper parts even when moderate static shifts are in the data. As frequency increased, however, the galvanic distortion is not frequency independent any more, and thus the conventional inversion failed to fit the apparent resistivity and phase, especially when strong static shift is added. Even in such case, however, reasonable estimation of block resistivity as well as static shift parameters were obtained by 3-D MT inversion with static shift parameterization.

A Study on Geoelectrical Structure of Jeju Island Using 3D MT Inversion of 2D Profile Data (2차원 MT 자료의 3차원 역산을 통한 제주도 지전기구조 연구)

  • Choi, Ji-Hyang;Kim, Hee-Joon;Nam, Myung-Jin;Lee, Tae-Jong;Han, Nu-Ree;Lee, Seong-Kon;Song, Yoon-Ho;Suh, Jung-Hee
    • Geophysics and Geophysical Exploration
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    • v.10 no.4
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    • pp.268-274
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    • 2007
  • Traditional two-dimensional (2D) interpretation of magnetotelluric (MT) data utilizes only transverse magnetic (TM)-mode data, because 2D inversion of transverse electric (TE)-mode data results in spurious features when 3D structures exist in the subsurface. The application of a 3D inversion algorithm to a single MT profile can reduce contamination due to off-profile anomalies and help us to incorporate TE-mode data in the interpretation. In this study, we conduct 2D and 3D inversions of MT data observed along two lines in Jeju Island. First, we invert apparent resistivities and phases in the TM and TE modes separately. Then, we perform 2D joint inversion of both TM- and TE-mode data and 3D inversion of both Zxy- and Zyx-mode data corresponding to TE- and TM-mode data in 2D. The resistivity images derived from all four data show that the geoelectrical structure in Jeju Island is a three-layered earth with the resistive-conductive-resistive stratigraphy within a depth of 5 km. The 3D inversion does not produce clear anomalies in the reconstructed profile image, while all of 2D do. This attributed to the possibility that 2D inversion results are distorted by exiting off-profile 3D anomalies in Jeju. With 3D inversion of 2D profile MT data, we can deduce more reliable results that are not seriously distorted by off-profile 3D anomalies.

Spectral Inversion of Time-domain Induced Polarization Data (시간영역 유도분극 자료의 Cole-Cole 역산)

  • Kim, Yeon-Jung;Cho, In-Ky
    • Geophysics and Geophysical Exploration
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    • v.24 no.4
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    • pp.171-179
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    • 2021
  • We outline a process for estimating Cole-Cole parameters from time-domain induced polarization (IP) data. The IP transients are all inverted to 2D Cole-Cole earth models that include resistivity, chargeability, relaxation time, and the frequency exponent. Our inversion algorithm consists of two stages. We first convert the measured voltage decay curves into time series of current-on time apparent resistivity to circumvent the negative chargeability problem. As a first step, a 4D inversion recovers the resistivity model at each time channel that increases monotonically with time. The desired intrinsic Cole-Cole parameters are then recovered by inverting the resistivity time series of each inversion block. In the second step, the Cole-Cole parameters can be estimated readily by setting the initial model close to the true value through a grid search method. Finally, through inversion procedures applied to synthetic data sets, we demonstrate that our algorithm can image the Cole-Cole earth models effectively.

Transmission of 10Gb/s signal over 200km of non-dispersion shifted fiber by using mid-span spectral inversion (스펙트럼 반전법을 이용한 10 Gb/s 광신호의 200 km 비분산천이 광섬유 전송)

  • 이상수;이창희
    • Korean Journal of Optics and Photonics
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    • v.7 no.4
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    • pp.428-433
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    • 1996
  • We have demonstrated 200 km non-dispersion shifted fiber(NDSF) transmission of 10 Gb/s signal by using mid-span spectral inversion(MSSI) method as a dispersion compensation technique. We have used four-wave mixing process in dispersion shifted fiber(DSF) to generate a spectrum inverted signal. The spectral inversion efficiency of -26.7dB and signal to noise ratio of 23.0 dB have been achieved. The measured sensitivities at $10^{-9}$ bit error rates (BER) were -28.0 dBm in back to back configuration and -27.0 dBm after transmission of 200 km NDSF.

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4D Inversion of the Resistivity Monitoring Data with Focusing Model Constraint (강조 모델제한을 적용한 전기비저항 모니터링 자료의 4차원 역산)

  • Cho, In-Ky;Jeong, Da-Bhin
    • Geophysics and Geophysical Exploration
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    • v.21 no.3
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    • pp.139-149
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    • 2018
  • The resistivity monitoring is a practical method to resolve changes in resistivity of underground structures over time. With the advance of sophisticated automatic data acquisition system and rapid data communication technology, resistivity monitoring has been widely applied to understand spatio-temporal changes of subsurface. In this study, a new 4D inversion algorithm is developed, which can effectively emphasize significant changes of underground resistivity with time. To overcome the overly smoothing problem in 4D inversion, the Lagrangian multipliers in the space-domain and time-domain are determined automatically so that the proportion of the model constraints to the misfit roughness remains constant throughout entire inversion process. Furthermore, a focusing model constraint is added to emphasize significant spatio-temporal changes. The performance of the developed algorithm is demonstrated by the numerical experiments using the synthetic data set for a time-lapse model.

An Efficient 3D Inversion of MT Data Using Approximate Sensitivities (효율적인 3차원 MT 역산을 위한 다양한 감도의 이용)

  • Han, Nu-Ree;Nam, Myung-Jin;Kim, Hee-Joon;Lee, Tae-Jong;Song, Yoon-Ho;Suh, Jung-Hee
    • Geophysics and Geophysical Exploration
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    • v.10 no.4
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    • pp.259-267
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    • 2007
  • An efficient algorithm for inverting static-shifted magnetotelluric (MT) data has been proposed to produce a three-dimensional (3D) resistivity model. In the Gauss-Newton approach, computational costs associated with construction of a full sensitivity matrix usually make 3D MT inversion impractical. This computational difficulty may be overcome by using approximate sensitivities. We use four kinds of sensitivities in particular orders in the inversion process. These sensitivities are computed 1) analytically for an initial, homogeneous earth, 2) exactly for a current model, 3) approximately by the Broyden method, and 4) approximately using the previous adjoint fields. Inversion experiments with static-shifted synthetic and field MT data indicate that inversion results are highly dependent on characteristics of data and thus applying various combinations of sensitivities is helpful in obtaining a good image of the subsurface structure with reasonable computation time.

Analysis of Distortion Effect of Resistivity Data Due to 3D Geometry of Fill Dam (필댐의 3차원 기하 효과에 따른 전기비저항 왜곡 효과 분석)

  • Oh, Seok-Hoon;Kim, Hyoung-Soo
    • Journal of the Korean Geophysical Society
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    • v.8 no.4
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    • pp.211-214
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    • 2005
  • Low resistivity zone is observed at the lower part of a CFRD (Concrete Face Rockfill Dam). Generally, CFRD tends not to have any saturated zone within the body, but the result of resistivity survey shows that it is possible for the dam to be saturated under 20m depth with water. The level of reservoir was under 10 m from the crest. We suspect that this result may come from the wrong 2D inversion process ignoring the 3D geometry of dams. For the analysis of possibility of distortion by different geometry, we perform the 3D forward modeling for the dam and apply the 2D inversion process. And then we check the point of traditional interpretation of resistivity data. By the analysis, it is found that the result of 2D inversion process of 3D geometry of dams, seems to have deep relation with the reservoir level, and the complex 3D structure hide some internal electrical anomaly of dams from resistivity information.

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An Application of loop-loop EM Method for Geotechnical Survey (지반조사를 위한 loop-loop 전자탐사 기법의 적용)

  • You Jin-Sang;Song Yoonho;Seo1 Soon-Jee;Song Young-Soo
    • Geophysics and Geophysical Exploration
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    • v.4 no.2
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    • pp.25-33
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    • 2001
  • Loop-loop electromagnetic (EM) survey in frequency domain has been carried out in order to provide basic solution to geotechnical applications. Source and receiver configuration may be horizontal co-planar (HCP) and/or vertical co-planar (VCP). Three quadrature components of mutual impedance ratio for each configuration are used to construct the subsurface image. For the purpose of obtaining the model response and validating the reasonable performance of the inversion, we obtained each responses of two-layered and three-layered earth models and two-dimensional (2-D) isolated anomalous body. The response of 2-D isolated anomalous body has been calculated using extended Born approximation for the solution of 2.5-D integral equation describing EM scattering problem. As a result of the least-squares inversion with variable Lagrangian multiplier, we could construct more resolvable image from HCP data than VCP data. Furthermore, joint inversion of HCP and VCP data made better stability and resolution of the inversion. Resistivity values, however, did not exactly match the true ones. Loop-loop EM field data was obtained with EM34-3XL system manufactured by Geonics Ltd. (Canada). Electrical resistivity survey was conducted on the same line for the comparison in advance. Since the constructed image from loop-loop EM data by 2-D inversion algorithm showed almost similar resistivity distribution to that from electrical resistivity one, we expect the developed 2.5-D loop-loop EM inversion program can be applied for the reconnaissance site survey.

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