• 제목/요약/키워드: Velocity Autocorrelation Function

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불균질 매질에서 탄성파 모델링 (Seismic Modeling for Inhomogeneous Medium)

  • 김영완;장성형;윤왕중
    • 자원환경지질
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    • 제40권6호
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    • pp.739-749
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    • 2007
  • 탄성파 속도는 지층 물성에 따라 다양하게 분포한다. 탄성파 음원 모음도 상에 나타나는 이러한 특성은 균질 매질을 고려한 수치 모델링에서는 정상적으로 모사할 수 없으므로 무작위 불균질 매질을 고려한 수치 모델링이 필요하다. 본 연구에서는 불균질 매질 모델을 설정하고, 가우스 자기상관 함수, 지수 자기상관 함수, 폰 카르만 자기상관 함수를 이용하여 단순 지층 구조에 적용하고 각각의 특성을 살펴보았으며, 이 가운데 폰 카르만 자기상관 함수가 단파장 불균질 속도매질을 잘 표현함을 알 수 있었다. 가스 하이드레이트 수치모델링은 동해 현장자료를 바탕으로 해저면과 모델크기를 결정하였으며, 수치모델링 결과 폰 카르만 자기 상관함수가 불균질 지층구조를 포함하는 가스 하이드레이트 속도모델에서 산란현상을 가장 적절하게 구현함을 알 수 있었다. 또한 동해 탄성파 탐사자료의 탄성파 음원 모음도에서 나타나는 해저면 기인 강진폭 위상역전 반사파(BSR: bottom simulated reflector)와 산란파들이 불균질 수치 모형실험에서 적절하게 구현되었음을 알 수 있었다.

Molecular Dynamics Study of the Self-Diffusion Coefficient and Velocity Autocorrelation Function of a Polymer Molecule in Solution

  • Kang, Hong-Seok;Lee, Young-Seek;Ree, Tai-kyue
    • Bulletin of the Korean Chemical Society
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    • 제4권5호
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    • pp.223-227
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    • 1983
  • A molecular dynamic computer experiment was performed on a system of 108 particles composed of a single polymer chain and solvent molecules. The state considered was in the immediate neighborhood of the triple point of the system. The polymer itself is an analog of a freely jointed chain. The Lennard-Jones potential was used to represent the interactions between all particles except for that between the chain elements forming a bond in the polymer chain, for which the interaction was expressed by a harmonic potential. The self-diffusion coefficient and velocity autocorrelation function (VACF) of a polymer were calculated at various chain lengths $N_p$, and various interaction strengths between solvent molecules and a polymer chain element. For self-diffusion coefficients D, the Einstein relation holds good; as chain length $N_p$ increases the D value decreases, and D also decreases as ${\varepsilon}_{cs}$ (the interaction parameter between the chain element and solvent molecules) increases. The relaxation time of velocity autocorrelation decreases as ${\varepsilon}_{cs}$ increases, and it is constant for various chain lengths. The diffusion coefficients in various conditions reveal that our systems are in a free draining limit as is well known from the behavior of low molecular weight polymers, this also agrees with the Kirkwood-Riesman theory.

이류 유동장의 초확산과 무작위성 (Superdiffusion and Randomness in Advection Flow Fields)

  • 김인찬
    • 대한기계학회논문집B
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    • 제23권9호
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    • pp.1163-1171
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    • 1999
  • Superdiffusive transport motions of passive scalars are numerically considered for various advection velocity fields. Calculated exponents ${\alpha}$ in the superdiffusion-defining relation ${\sigma}^2(t){\sim}t^{\alpha}$ for model flow fields agree to the theoretically predicted values. Simulation results show that the superdiffusion takes place as the tracers' motion become less random, compared to their motion at the pure molecular diffusion. Whether the flow field is random or not, degrees of superdiffusion are directly related to the velocity autocorrelation functions along the tracers Lagrangian trajectories that characterize degrees of randomness of the tracers' motion.

불균질 매질에 따른 인공 합성 탄성파 자료 비교 (Comparison of synthetic seismograms referred to inhomogeneous medium)

  • 김영완;장성형;윤왕중;서상용
    • 한국지구물리탐사학회:학술대회논문집
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    • 한국지구물리탐사학회 2007년도 공동학술대회 논문집
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    • pp.197-202
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    • 2007
  • Most of seismic reflection prospecting assumes subsurface formation to be homogeneous media. These models are not capable of estimating small scale heterogeneity which is verified by well log data or drilling core. And those synthetic seismograms by homogeneous media are limited to explain various changes at field data. So we developed a inhomogeneous velocity model which can estimate inhomogeneity of background medium to implement numerical modeling from homogeneous medium and inhomogeneous medium on the model. Background medium using three autocorrelation functions in order to generate inhomogeneous velocity media was according to dominant wavelength of background medium and correlation length of random medium. And then we compared shot gathers. The results show that numerical modeling implemented at inhomogeneous medium depicts complex wave propagation of field data.

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바이모달 분포형태 랜덤 불균질 매질에 의한 메탄하이드레이트층 모델화 (Random heterogeneous model with bimodal velocity distribution for Methane Hydrate exploration)

  • Kamei Rie;Hato Masami;Matsuoka Toshifumi
    • 지구물리와물리탐사
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    • 제8권1호
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    • pp.41-49
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    • 2005
  • 이 연구에서는 메탄 하이드레이트 부존 지역의 속도 분포를 구하기 위해서 무작위 불균질 모델을 개발하였다. P 파 물리검층 자료는 von Karman 유형의 자기상관함수와 비가우스 확률 분포를 가진다. 속도 분포는 수백 m/s의 차이가 나는 두 개의 정점(peak)들을 갖는다. 이중모드 속도 분포를 가진 무작위 불균질 매질의 모델은 normal spectral-based generation 방법에 의해 만들어진, 가우스 속도 분포를 갖는 매질의 사상을 통해 만들어졌다. 또한 타원 자기상관 함수를 이용하여 무작위 매질에 자기상관 길이의 이방성을 첨가하였다. 유사 P 파 속도 검층기록은 현장자료의 특징을 잘 구현해냈다. 이 모델을 두 개의 탄성파 전파 수치 모형에 적용하였다. 두 개의 다른 주파수 대역의 송신신호들에 의해 만들어진 합성 반사 단면도들을 통해 이중모드 분포를 가진 무작위 모델의 속도 변화가 파의 산란에 영향을 줌으로써 BSR의 주파수 의존성의 원인이 됨을 알 수 있다. 합성 시추공간 단면도는 현장자료에서 보여지는 심한 감쇠가 산란에 의한 부가적인 진폭 감쇠에 의한 것임을 보여주고 있다. 결론적으로 이중모드 분포를 가진 무작위 불균질성은 하이드레이트 부존층 모델링의 핵심이고, 이를 통해 하이드레이트 부존 지역의 탄성파 단면도들에서 관찰되는 주파수 의존성과 산란현상에 대해 설명할 수 있다.

Hollandite Nax$(Ti_{8-x}Cr_x)O_{16}$의 이온 전송과 고유전율 특성 (Ion Transport and High Frequency Dielectric of the Hollandite Nax$(Ti_{8-x}Cr_x)O_{16}$)

  • 윤주호;이영;최용성;이경섭
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2008년도 추계학술대회 논문집 Vol.21
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    • pp.241-242
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    • 2008
  • The Velocity Autocorrelation Function (VAF) of the sodium ions is calculated for a range of temperature from 250K to 1000K and converted into the linear ac-conductivity and ac-susceptibility response via Fourier transformation. A peak is found in the conductivity around $6\times10^{12}$ Hz that has some of the character of a Poley absorption. Here it is shown to be due to an harmonically coupled site vibrations of the sodium atoms, which extend only over a limited range. At frequencies below the peak the conductivity tends towards a constant i.e. dc value corresponding to a constant flow of ions through the simulation cell. At high temperatures the conductivity due to this ion transport process behaves like a metal with an insulator to metal transition occurring around a specific temperature.

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Temperature Effect on the Configurational Properties of an n-Decane Chain in Solution

  • Oh, In-Joon;Ree, Tai-Kyue
    • Bulletin of the Korean Chemical Society
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    • 제5권4호
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    • pp.162-167
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    • 1984
  • Equilibrium and dynamical behaviors of an n-alkane poymer (decane) in solution have been investigated by a molecuar dynamics simulation method. The polymer is assumed to be a chain of elements $(CH_2)$ interconnected by bonds having a fixed bond length and bond angle, but esch bond of the polymer is allowed to execute hindered internal rotation. The calculation explicitly considers the molecular naturer of solvent by including the intermolecular interactions between slovent-solvent molecules and chain element-solvent molecule. We present the results of calculations on (1) equilibrium properties (the solvent molecule-chain element pair correlation function, chain element-chain element pair correlation function, the mean square end-to-end distance and the mean square radius of gyration of the polymer) and (2) dynamic properties (four different autocorrelation functions, namely, the autocorrelation functions for the end-to-end distance and the radius of gyration, and the velocity autocorrelation functions for the center of mass and the end point of the chain). We found that the physical properties of the polymer chain depends sensitively on temperature. Comparison of the present work with other authors' results is also presented.

제 4 회 한국 유체공학 학술대회 (The Third National Congress on Fluids Engineering:)

  • 김경록;정재달;이창훈
    • 유체기계공업학회:학술대회논문집
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    • 유체기계공업학회 2006년 제4회 한국유체공학학술대회 논문집
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    • pp.433-436
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    • 2006
  • In this study we perform Lagrangian stochastic model simulation for heavy particle. Reynolds(2002) construct simple LSM for heavy particle, which lack in detailed parameter study and statistics of turbulent flow within his paper. we investigate more simple but important turbulent statistics such as autocorrelation for velocity and acceleration, Lagrangian structure function and dispersion statistics parameterized by using DNS.

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Quantum Mechanical Effects on Dynamical Behavior of Simple Liquids

  • Kim, Tae-Jun;Kim, Hyo-Joon
    • Bulletin of the Korean Chemical Society
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    • 제32권7호
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    • pp.2233-2236
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    • 2011
  • We evaluate quantum-mechanical velocity autocorrelation functions from classical molecular dynamics simulations using quantum correction approaches. We apply recently developed approaches to supercritical argon and liquid neon. The results show that the methods provide a solution more efficient than previous methods to investigate quantum-mechanical dynamic behavior in condensed phases. Our numerical results are found to be in excellent agreement with the previous quantum-mechanical results.

Hollandite $Nax(Ti_8-_xCr_x)O_{16}$의 이온 전송과 고유전율 (Ion Transport and High Frequency Dielectric of the Hollandite $Nax(Ti_8-_xCr_x)O_{16}$)

  • 신현만;이경섭
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2008년도 추계학술대회 논문집 전기설비전문위원
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    • pp.243-244
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    • 2008
  • The Velocity Autocorrelation Function (VAF) of the sodium ions is calculated for a range of temperature from 250K to 1000K and converted into the linear ac-conductivity and ac-susceptibility response via Fourier transformation. A peak is found in the conductivity around $6{\times}10^{12}Hz$ that has some of the character of a Poley absorption. Here it is shown to be due to an harmonically coupled site vibrations of the sodium atoms, which extend only over a limited range. At frequencies below the peak the conductivity tends towards a constant i.e. dc value corresponding to a constant flow of ions through the simulation cell. At high temperatures the conductivity due to this ion transport process behaves like a metal with an insulator to metal transition occurring around a specific temperature.

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