• Title/Summary/Keyword: Inversion

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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.

Lateral-Directional Dynamic Inversion Control Applied to Supersonic Trainer (초음속 고등훈련기 가로-방향축 모델역변환 비행제어법칙 설계)

  • Kim, Chongsup;Ji, Changho;Cho, In-Je
    • Journal of Aerospace System Engineering
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    • v.8 no.4
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    • pp.24-31
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    • 2014
  • The modern version of aircrafts is allowed to guarantee the superior handing qualities within the entire flight envelope by imposing the adequate stability and flying qualities on a target aircraft through the various techniques of flight control law design. Generally, the flight control law of the aircraft in service applies the various techniques of the verified control algorithm, such as dynamic inversion and eigenstructure assignment. The supersonic trainer employs the RSS(Relaxed Static Stability) concept in order to improve the aerodynamic performance in longitudinal axis and the longitudinal control laws employ the dynamic inversion with proportional-plus-integral control method. And, lateral-directional control laws employ the blended roll system of both beta-betadot feedback and simple roll rate feedback with proportional control method in order to guarantee aircraft stability. In this paper, the lateral-directional flight control law is designed by applying dynamic inversion control technique as a different method from the current supersonic trainer control technique, where the roll rate command system is designed at the lateral axis for the rapid response characteristics, and the sideslip command system is adopted at the directional axis for stability augmentation. The dynamic inversion of a simple 1st order model is applied. And this designed flight control law is confirmed to satisfy the requirement presented from the military specification. This study is expected to contribute to design the flight control law of KF-X(Korean Fighter eXperimental) which will proceed into the full-scale development in the near future.

Leg Muscle Activity from the Perturbation of the Support during Gait (보행 시 지지 기반 급변에 대한 하지 근신경의 반응)

  • Shin, In-Sik;Chun, Young-Jin;Seo, Jung-Seok;Choi, Chi-Sun;Nam, Ki-Jung
    • Korean Journal of Applied Biomechanics
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    • v.17 no.3
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    • pp.147-154
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    • 2007
  • This study's purpose is to investigate the effects on leg muscle activity caused by perturbation, using a trapdoor system during the support phase of gait for healthy adults (n = 6, height $177.5{\pm}5.5cm$, weight $81.0{\pm}9.5kg$, age $30.0{\pm}3.3yrs$). The trapdoor had the functional ability of causing inversion or eversion. The release time for the trapdoor was specified for two times, 0.3 and 0.5 seconds after heel contact. While altering these variables, EMG was recorded for the leg muscles (rectus femoris, biceps femoris, vastus lateralis, tibialis anterior, gastrocnemius, soleus). The following conclusions were derived. The steptime was longer for the 0.5s eversion than 0.3s inversion condition. So in order to regain stability after the perturbation the unsupporting leg reached forward rapidly. This quick reflex can be observed through the center of pressure (COP) and its rapid change in direction. The gastrocnemius was activated throughout the total experiment. There was a low amount of activity recorded in the rectus femoris, vastus lateralis and tibialis anterior except for the condition of inversion 0.3s. For most of the conditions, the highest average EMG peak values were recorded during the condition of inversion 0.3s. The iEMG patterns were similar for the conditions of inversion 0.3s and eversion 0.3s. To cope with the rapid change in these conditions, the biceps femoris was activated. During the experiment except for the condition of normal gait, the activity of the soleus and gastrocnemius was relatively high. Therefore, to prevent injury from perturbation of the lower leg strengthening of the soleus and gastrocnemius is required. Likewise to prevent injury to the thigh strengthening for the biceps femoris.

Crustal Structure of the Korean Peninsula By Travel Time Inversion of Local Earthquakes

  • Song, Seok-Gu;Lee, Gi-Hwa
    • Journal of the Korean Geophysical Society
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    • v.4 no.1
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    • pp.21-33
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    • 2001
  • Simultaneous inversion of first-arrivals of local earthquakes recorded by the Korea Meteorological Administration(KMA) seismograph network from 1991 to 1998 is made to derive 1D crustal velocity structure of the Korean peninsula. Twenty-nine events with 178 observations are used in the inversion. Average crustal P-wave velocity turns out to be about 6.3 km/sec, and crustal thickness and upper mantle P-wave velocity are estimated as 33 km and 7.9 km/sec, respectively. Results of inversion indicate the possibility of the low velocity layer in the lower crust. Joint inversion is applied to estimate hypocenters, station delays, and velocities simultaneously. Relative station corrections for 11 stations range from zero to about 1.2 sec. Analysis of the synthetic data shows that estimates of hypocenter locations and station corrections as well as averaged crustal structure are reliable for the given data set..

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Safety Analysis of Reservoir Dikes in South Korea through the Interpretation of the Electrical Resistivity Data Considering Three-dimensional Structure (3차원 구조를 고려한 전기비저항 탐사자료 해석을 통한 국내 저수지 제체 안전성 분석)

  • Song, Sung-Ho;Yong, Hwan-Ho;Lee, Gyu-Sang;Cho, In-Ky
    • Geophysics and Geophysical Exploration
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    • v.22 no.3
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    • pp.160-167
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    • 2019
  • Resistivity inversion result may be distorted if the seepage line fluctuation within central core with the change of reservoir water level as well as the conductivity of the reservoir water is not taken into consideration because the reservoir dike is composed of three-dimensional (3D) resistivity structure. Consequently, to accurately analyze the resistivity changes inside the reservoir dike according to the change of reservoir water level, 3D electrical resistivity modeling for the 2D survey line considering topography and physical properties of dam components was carried out. In addition, 2D inversion was performed with the simulated 2D resistivity data for a given 3D model in order to compare it with the inversion result of real field data. For 283 reservoirs in Korea, 2D inversion results for the simulated 2D data and field 2D resistivity data were compared. Finally, the reservoirs with an inversion ratio of 50% or less were selected as reservoirs that require further precise investigation.

Full Waveform Inversion using a Cyclic-shot Subsampling and a Reference-shot Subset (주기적 송신원 추출과 참조 송신원 부분집합을 이용한 완전 파형 역산)

  • Jo, Sang Hoon;Ha, Wansoo
    • Geophysics and Geophysical Exploration
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    • v.22 no.2
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    • pp.49-55
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    • 2019
  • In this study, we presented a reference-shot subset method for stable convergence of full waveform inversion using a cyclic-shot subsampling technique. Full waveform inversion needs repetitive modeling of wave propagation and thus its calculation time increases as the number of sources increases. In order to reduce the computation time, we can use a cyclic-shot subsampling method; however, it makes the cost function oscillate in the early stage of the inversion and causes a problem in applying the convergence criteria. We introduced a method in which the cost function is calculated using a fixed reference-shot subset while updating the model parameters using the cyclic-shot subsampling method. Through the examples of full waveform inversion using the Marmousi velocity model, we confirmed that the convergence of cost function becomes stable even under the cyclic-shot subsampling method if using a reference-shot subset.

A study on the acoustical inversion method using cepstrum analysis of underwater ship radiated noise (선박 수중방사소음의 셉스트럼 분석을 이용한 음향역산법 연구)

  • Park, Cheolsoo;Kim, Gun Do;Yim, Geuntae;Moon, Il-Sung
    • The Journal of the Acoustical Society of Korea
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    • v.38 no.1
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    • pp.73-81
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    • 2019
  • This paper proposes an acoustical inversion method using cepstrum analysis of underwater ship noise. Through the cepstrum analysis, multipath structure can be extracted from the recorded ship noise. The multipath structure comes from interferences between a direct arrival and multiple reflections from the sea surface and the bottom. The acoustic inversion is the optimization process to find the best parameters which show good correlation between cepstrums of the measured signal and the replica. The inversion method was applied to the underwater ship radiated noise data measured at Straits of Korea in order to estimate the acoustic center of the ship and the hydrophone position. The inversion results showed good agreement with the measured information.

Extraction of Cole-Cole Parameters from Time-domain Induced Polarization Data (시간영역 유도분극 자료로부터 Cole-Cole 변수 산출)

  • Kim, Yeon-Jung;Cho, In-Ky
    • Geophysics and Geophysical Exploration
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    • v.24 no.4
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    • pp.164-170
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    • 2021
  • Frequency-domain and time-domain induced polarization methods can provide spectral information about subsurface media. Analysis of spectral characteristics has been studied mainly in the frequency-domain, however, time-domain induced polarization research has recently become popular. In this study, assuming a homogeneous half-space model, an inversion method was developed to extract Cole-Cole parameters from the measured secondary potential or electrical resistivity. Since the Cole-Cole parameters of chargeability, time constant, and frequency index are not independent of each other, various problems, such as slow convergence rate, initial model problem, local minimum problem, and divergence, frequently occur when conventional nonlinear inversion is applied. In this study, we developed an effective inversion method using the initial model close to the true model by introducing a grid search method. Finally, the validity of the developed inversion method was verified using inversion experiments.

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.

Nonlinear Inversion of Time-domain Induced Polarization Data with Negative Apparent Chargeability Data (음의 겉보기 충전성 자료를 포함한 시간영역 유도분극 자료의 비선형 역산)

  • Cho, In-Ky;Kim, Yeon-Jung
    • Geophysics and Geophysical Exploration
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    • v.24 no.4
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    • pp.139-148
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    • 2021
  • Negative apparent chargeability data in time-domain induced polarization (IP) survey are very often considered as noise and rejected before the inversion stage. Negative IP data can, however, occur naturally as a consequence of the distribution of chargeable zones in the ground. In some cases, the negative apparent chargeability values may account for most of the data measured. Negative IP data are caused by the geometry of chargeable zones and electrode positions. Negative apparent chargeability data appear most frequently when a dipole-dipole array is used. In this study, the effect of negative apparent chargeability data on inversion results is analyzed through the numerical 2D time-domain IP modeling and nonlinear inversion. The results demonstrate clearly that negative apparent chargeability data have to be included in the inversion as they contain important information on the distribution of subsurface chargeability.