• Title/Summary/Keyword: Inversion model

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Time-Domain Geoacoustic Inversion via Light Bulb Source Signal Matching (전구음원 신호를 이용한 시간영역 지음향학적 인자 역산)

  • Kim Kyungseop;Park Cheolsoo;Kim Seongil;Seong Woojae
    • The Journal of the Acoustical Society of Korea
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    • v.24 no.6
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    • pp.334-342
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    • 2005
  • In this Paper. a time-domain geoacoustic inversion was performed using the bulb signals measured during MがU. 04 experiment conducted in the East Sea of Korea in 2004. An obiective function was defined as a direct cross-correlation between the measured and the simulated signals in time domain. The ray theory was used to model the wave propagation in time domain and optimizations were Performed using VFSA (very fast simulated annealing) algorithm. Comparison of inversion results with those from transmission loss matching (an accompanying paper in this issue of the Journal of the Acoustical Society of Korea) shows that Parameters are consistently inverted. Direct time series comparisons between the measured signals and the simulated signals are Presented based on inversion results.

A new algorithm for SIP parameter estimation from multi-frequency IP data: preliminary results (다중 주파수 IP 자료를 이용한 SIP 변수 추정)

  • Son, Jeong-Sul;Kim, Jung-Ho;Yi, Myeong-Jong
    • Geophysics and Geophysical Exploration
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    • v.10 no.1
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    • pp.60-68
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    • 2007
  • Conventional analysis of spectral induced polarization (SIP) data consists of measuring impedances over a range of frequencies, followed by spectral analysis to estimate spectral parameters. For the quantitative and accurate estimation of subsurface SIP parameter distribution, however, a sophisticated and stable inversion technique is required. In this study, we have developed a two-step inversion approach to obtain the two-dimensional distribution of SIP parameters. In the first inversion step, all the SIP data measured over a range of frequencies are simultaneously inverted, adopting cross regularisation of model complex resistivities at each frequency. The cross regularisation makes it possible to enhance the noise characteristics of the inversion by imposing a strong assumption, that complex resistivities should show similar characteristics over a range of frequencies. In numerical experiments, we could verify that our inversion approach successfully reduced inversion artefacts. As a second step, we have also developed an inversion algorithm to obtain SIP parameters based on the Cole-Cole model, in which frequency-dependent complex resistivities from the first step are inverted to obtain a two-dimensional distribution of SIP parameters. In numerical tests, the SIP parameter images showed a fairly good match with the exact model, which suggests that SIP imaging can provide a very useful subsurface image to complement resistivity.

Joint Inversion Analysis Using the Dispersion Characteristics of Love Wave and Rayleigh Wave (II) - Verification and Application of Joint Inversion Analysis - (러브파와 레일리파의 분산특성을 이용한 동시역산해석(II) - 동시역산해석기법의 검증 및 적용 -)

  • Lee Il-Wha;Joh Sung-Ho
    • Journal of the Korean Geotechnical Society
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    • v.21 no.4
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    • pp.155-165
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    • 2005
  • Love wave and Rayleigh wave are the major elastic waves belonging to the category of the surface wave. Those waves are used to determine the ground stiffness profile using their dispersion characteristics. The fact that Love wave is not contaminated by P-wave makes Love wave superior to Rayleigh wave and other body waves. Therefore, the information that Love wave carries is more distinct and clearer than that of others. Based on theoretical research, the joint inversion analysis that uses the dispersion information of both Love and Rayleigh wave was proposed. Numerical analysis, theoretical model test, and field test were performed to verify the joint inversion analysis. Results from 2D, 3D finite element analysis were compared with those from the transfer matrix method in the numerical analysis. On the other hand, the difference of results from each inversion analysis was investigated in the theoretical model analysis. Finally, practical applicability of the joint inversion analysis was verified by performing field test. As a result, it is confirmed that considering dispersion information of each wave simultaneously prevents excessive divergence and improves accuracy.

Inversion of Acoustical Properties of Sedimentary Layers from Chirp Sonar Signals (Chirp 신호를 이용한 해저퇴적층의 음향학적 특성 역산)

  • 박철수;성우제
    • The Journal of the Acoustical Society of Korea
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    • v.18 no.8
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    • pp.32-41
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    • 1999
  • In this paper, an inversion method using chirp signals and two near field receivers is proposed. Inversion problems can be formulated into the probabilistic models composed of signals, a forward model and noise. Forward model to simulate chirp signals is chosen to be the source-wavelet-convolution planewave modeling method. The solution of the inversion problem is defined by a posteriori pdf. The wavelet matching technique, using weighted least-squares fitting, estimates the sediment sound-speed and thickness on which determination of the ranges for a priori uniform distribution is based. The genetic algorithm can be applied to a global optimization problem to find a maximum a posteriori solution for determined a priori search space. Here the object function is defined by an L₂norm of the difference between measured and modeled signals. The observed signals can be separated into a set of two signals reflected from the upper and lower boundaries of a sediment. The separation of signals and successive applications of the genetic algorithm optimization process reduce the search space, therefore improving the inversion results. Not only the marginal pdf but also the statistics are calculated by numerical evaluation of integrals using the samples selected during importance sampling process of the genetic algorithm. The examples applied here show that, for synthetic data with noise, it is possible to carry out an inversion for sedimentary layers using the proposed inversion method.

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IP Modeling and Inversion Using Complex Resistivity (복소 전기비저항을 이용한 IP 탐사 모델링 및 역산)

  • Son, Jeong-Sul;Kim, Junhg-Ho;Yi, Myeong-Jong
    • Geophysics and Geophysical Exploration
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    • v.10 no.2
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    • pp.138-146
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    • 2007
  • This paper describes 2.5D induced polarization (IP) modeling and inversion algorithms using complex resistivity. The complex resistivity method has merits for acquiring more valuable information about hydraulic parameters and pore fluid than the conventional IP methods. The IP modeling and inversion algorithms are developed by allowing complex arithmetic in existing DC modeling and inversion algorithms. The IP modeling and inversion algorithms use a 2.5D DC finite-element algorithm and a damped least-squares method with smoothness constraints, respectively. The accuracy of the IP modeling algorithm is verified by comparing its responses of two synthetic models with two different approaches: linear filtering for a three-layer model and an integral equation method for a 3D model. Results from these methods are well matched to each other. The inversion algorithm is validated by a synthetic example which has two anomalous bodies, one is more conductive but non-polarizable than the background, and the other is polarizable but has the same resistivity as the background. From the inverted section, we can cleary identify each anomalous body with different locations. Furthermore, in order to verify its efficiency to the real filed example, we apply the inversion algorithm to another three-layer model which includes phase anomaly in the second layer.

Phase inversion of seismic data

  • Kim, Won-Sik;Shin, Chang-Soo;Park, Kun-Pil
    • 한국지구물리탐사학회:학술대회논문집
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    • 2003.11a
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    • pp.459-463
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    • 2003
  • Waveform inversion requires extracting a reliable low frequency content of seismic data for estimating of the low wave number velocity model. The low frequency content of the seismic data is usually discarded or neglected because of the band-limited response of the source and the receivers. In this study, however small the spectral of the low frequency seismic data is, we assume that it is possible to extract a reliable phase information of the low frequency from the seismic data and use it in waveform inversion. To this end, we exploit the frequency domain finite element modeling and source-receiver reciprocity to calculate the $Frech\`{e}t$ derivative of the phase of the seismic data with respect to the earth model parameter such as velocity, and then apply a damped least squares method to invert the phase of the seismic data. Through numerical example, we will attempt to demonstrate the feasibility of our method in estimating the correct velocity model for prestack depth migration.

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Inversion of Small Loop EM Data by Main-Target Emphasizing Approach (주 대상체 강조법에 의한 소형루프 전자탐사 자료의 역산)

  • Cho, In-Ky;Kang, Mi-Kyung;Kim, Ki-Ju
    • Geophysics and Geophysical Exploration
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    • v.9 no.4
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    • pp.299-303
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    • 2006
  • Geologic noise, especially located at shallow depth, can be a great obstacle in the interpretation of geophysical data. Thus, it is important to suppress geologic noise in order to accurately detect major anomalous bodies in the survey area. In the inversion of geophysical data, model parameters at shallow depth, which have small size and low contrast of physical property, can be regarded as one of geologic noise. The least-squares method with smoothness constraint has been widely used in the inversion of geophysical data. The method imposes a big penalty on the large model parameter, while a small penalty on the small model parameter. Therefore, it is not easy to suppress small anomalous boies. In this study, we developed a new inversion scheme which can effectively suppress geologic noise by imposing a big penalty on the slowly varying model parameter and a small penalty on the largely varying model parameter. We call the method MTE (main-target emphasizing) inversion. Applying the method to the inversion of 2.5D small loop EM data, we can ensure that it is effective in suppressing small anomalous boies and emphasizing major anomalous bodies in the survey area.

Linear Inversion of Heat Flow Data (지각열류량(地殼熱流量)의 선형(線型) 반전(反轉))

  • Han, Wook
    • Economic and Environmental Geology
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    • v.17 no.3
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    • pp.163-169
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    • 1984
  • A linear inversion of heat flow values using heat production data with reliable value is studied in this work. To evaluate 2-D problem, a thin vertical sheet model is considered. Making use of a relation based on potential theory, a new relation between $q_{rad}$ and $A_0$ is derived. The forward calculations with noise and without noise are shown. The inversion of random search is comparable to that of ridge regression method. The agreements between the computed and best fit after inversion suggest the importance of random search method in the inversion technique.

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Seismic refraction tomographic inversion using the initial velocity model from marine reflection data (해양 반사법 탐사자료의 초기속도 모델을 이용한 굴절 토모그래피 역산)

  • Lee, Yong-Jae;Kim, Won-Sik;Lee, Ho-Young;Yoo, Dong-Geun;Cho, Chang-Soo;Kim, Ji-Soo
    • 한국지구물리탐사학회:학술대회논문집
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    • 2007.06a
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    • pp.317-322
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    • 2007
  • Seismic exploration is divided by reflection and refraction method greatly, and reflection method can analyze complicated underground structure in the basis high resolution image, and refraction method can grasp the velocity structure of underground accurately. This thesis confirmed application of mixed exploration techniques using advantages of reflection and refraction. Reflection data processing applied conventional technique, and inversion of refraction data applied travel time tomographic technique that using SIRT method. Also, could establish initial information in model variable and improved the result of inversion by restricting model parameter value and dimension of area. Confirmed efficient fact in sequence and velocity structure grasping by utilizing accurate initial velocity model made out on the basis of marine reflection data, and mixed exploration technique using reflection and refraction have propriety that can trust in field application.

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Differential Privacy Technology Resistant to the Model Inversion Attack in AI Environments (AI 환경에서 모델 전도 공격에 안전한 차분 프라이버시 기술)

  • Park, Cheollhee;Hong, Dowon
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.29 no.3
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    • pp.589-598
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    • 2019
  • The amount of digital data a is explosively growing, and these data have large potential values. Countries and companies are creating various added values from vast amounts of data, and are making a lot of investments in data analysis techniques. The privacy problem that occurs in data analysis is a major factor that hinders data utilization. Recently, as privacy violation attacks on neural network models have been proposed. researches on artificial neural network technology that preserves privacy is required. Therefore, various privacy preserving artificial neural network technologies have been studied in the field of differential privacy that ensures strict privacy. However, there are problems that the balance between the accuracy of the neural network model and the privacy budget is not appropriate. In this paper, we study differential privacy techniques that preserve the performance of a model within a given privacy budget and is resistant to model inversion attacks. Also, we analyze the resistance of model inversion attack according to privacy preservation strength.