• Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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• v.31 no.3
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• pp.209-219
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• 2013

Epidemiological models on disease spread attempt to simulate disease transmission and associated control processes and such models contribute to greater understanding of disease spatial diffusion through of individual's contacts. The objective of this study is to develop an agent-based modeling(ABM) approach that integrates geographic information systems(GIS) to simulate the spread of FMD in spatial environment. This model considered three elements: population, time and space, and assumed that the disease would be transmitted between farms via vehicle along the roads. The model is implemented using FMD outbreak data in Andong city of South Korea in 2010 as a case study. In the model, FMD is described with the mathematical model of transmission probability, the distance of the two individuals, latent period, and other parameters. The results show that the GIS-agent based model designed for this study can be easily customized to study the spread dynamics of FMD by adjusting the disease parameters. In addition, the proposed model is used to measure the effectiveness of different control strategies to intervene the FMD spread.

• Journal of Navigation and Port Research
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• v.26 no.5
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• pp.563-569
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• 2002

To overcome the weaknesses of conventional finite difference model in pollutant dispersion modelling, the particle tracking method is used. In this study, a three dimensional particle tracking model which can be used in Princeton Ocean Model was developed and verified through the various numerical tests. Usability of the model was also confirmed through the ocean outfall modelling in Tampa Bay, Florida. As it is expected, random walk model showed the less dispersion in a range compared to the conventional finite difference model and its reason is estimated due to an error from numerical diffusion which the conventional model holds. This newly developed model is expected to be used in various ocean dispersion modelling.

• Journal of Radiation Protection and Research
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• v.15 no.2
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• pp.51-56
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• 1990

The dispersing model of radioactive plume in the atmosphere was assumed to form finite ellipseshaped volumes rather than a single plume and gamma absorbed doses from the plume were computed using the proposed model. The results obtained were compared with those computed by the Gaussian plume and the circular approximation models. The results computed by the proposed ellipse-shaped approximation model were close to those by the Gaussian plume model. and more accurate than those by the circular approximation model. The computing time for the proposed approximation model was one fortieth of that for the Gaussian plume model.

• The Journal of Bigdata
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• v.7 no.1
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• pp.193-212
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• 2022

The Bass Diffusion Model is one of the most successful models in marketing research, and management science in general. Since its publication in 1969, it has guided marketing research on diffusion. This paper illustrates the usage of the Bass diffusion model, using mobile cellular subscription diffusion as a context. We fit the bass diffusion model to three large developed markets, South Korea, Japan, and China, and the emerging markets of Vietnam, Thailand, Kazakhstan, and Mongolia. We estimate the parameters of the bass diffusion model using the nonlinear least square method. The diffusion of mobile cellular subscriptions does follow an S-curve in every case. After acquiring m, p, and q parameters we use k-Means Cluster Analysis for grouping countries into three groups. By clustering countries, we suggest that diffusion rates and patterns are similar, where countries with emerging markets can follow in the footsteps of countries with developed markets. The purpose was to predict the timing and the magnitude of the market maturity and to determine whether the data follow the typical diffusion curve of innovations from the Bass model.

• Membrane Journal
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• v.10 no.3
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• pp.139-147
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• 2000

Non-Fickian (or anomalous) diffusion was observed in transient sorption of aromatic solvents(such as benzene, toluene, and chlorobenzene) in fluoropolymers (such as ETFE, ECTFE and PVDF). In this study, five other transient sorption models (Crank, Long ＆ Richman, Berens ＆ Hopfenberg, Neogi, Li) based on Fick's law were employed to fit the anomalous sorption data for aromatic solvents. The adjustable parameters were determined by least square analysis of the measured and predicted fractional uptake. For ETFE sorption data slightly deviating from Fickian behavior, all the models exhibited satisfactory results in fitting the anomalous sorption data. In particular, Neogj model predicted intrinsic diffusivity (0.4～0.8$\times$10$^{-5}$ $\textrm{cm}^2$/day) and equilibrium diffusivity (0.13～0.31$\times$10$^{-4}$ $\textrm{cm}^2$/day) as well as relaxation kinetics related to non-Fickain diffusion. For a typical sigmoidal sorption behavior in PVDF, only Crank's model could give the reasonable evaluation on transport properties. The ratio of intial diffusivity (D$_{i}$) to final equilibrium diffusivity (D$_{\infty}$) was ranged from 80 to 200. For the final stage of uptake In ECTFE with drastic acceleration, all the models exhibited significant deviations from the sorption data. New diffusion models based on thermodynamics and continuum mechanics should be employed to get valuable information on transport properties as well as relaxation kinetics coupled with non-Fickian diffusion.

• Korean Journal of Mineralogy and Petrology
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• v.36 no.3
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• pp.199-212
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• 2023

Diffusion is a powerful tool to understand geological processes recorded in terrestrial rocks as well as extraterrestrial materials. Since the diffusive exchange of elements or isotopes may have occurred differently in the solar nebula (high temperature and rapid cooling) and on the parent bodies (fluid-assisted thermal metamorphism at relatively low temperature), it is particularly important to model elemental or isotopic diffusion profiles within the mineral grains to better understand the evolution of the early solar system. A numerical model with the finite difference method for the fast grain boundary diffusion was established for the exchange of elements or isotopes between constituent minerals in a closed system. The fast grain boundary diffusion numerical model was applied to 1) ²⁶Mg variation in plagioclase of an amoeboid olivine aggregate (AOA) from a CH chondrite and 2) Fe-Mg interdiffusion between chondrules, AOA, and matrix minerals in a CO chondrite. Equilibrium isotopic fractionation and equilibrium partitioning were also included in the numerical model, based on the assumption that equilibrium can be reached at the interfaces of mineral crystals. The numerical model showed that diffusion profiles observed in chondrite samples likely resulted from the diffusive exchange of elements or isotopes between the constituent minerals. This study also showed that the closure temperature is determined not only by the mineral with the slowest diffusivity in the system, but also strongly depends on the constituent mineral abundances.

• Proceedings of the Korean Nuclear Society Conference
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• 1998.05b
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• pp.665-670
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• 1998

삼차원 해륙풍 모델과 라그랑지안 입자확산모델을 이용하여 해안지역에 위치한 원전으로부터 정상운전시 장기적으로 연속 방출되는 방사성 물질의 대기확산 평가방법론을 개발하였다. 개발된 방법론을 적용하여 월성원전 부지를 대상으로 풍향, 풍속 및 운량에 따라 범주화된 각 종관기상 상태에 대해 가을철 방사성 물질 대기확산 특성을 분석하였다. 분석 결과, 방사성 물질의 계절 또는 연중 핑균적인 대기확산인자의 분포는 종관바람 둥과 같은 주풍의 발생빈도에 영향을 받을 뿐만 아니라, 해륙풍 등과 같은 국지 대기순환의 특성에 따라서도 그 분포특성이 결정됨을 알 수 있었다.

• Journal of the Korean GEO-environmental Society
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• v.7 no.1
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• pp.41-53
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• 2006

In this study, estimation of nonlinear adsorption isotherms(Langmuir & Freundlich adsorption isotherm) and advection-dispersion model parameters was conducted using genetic algorithm(GA) for Zn and Cd adsorption. Estimated parameters of nonlinear adsorption isotherms, which were obtained from the optimization process using genetic algorithm(GA), are nearly same with the parameters obtained from a linearization process of the nonlinear isotherms. Estimated effective diffusion coefficients, which were obtained from a finite element analysis of the advection-dispersion model and an optimization procedure using the genetic algorithm, for the metals were approximately in the order of $10^{-7}cm^2/s$ which could be obtained based on the linear distribution coefficient. The effective diffusion coefficients based on the nonlinear retardation factors were in the range of $10^{-6}{\sim}10^{-5}cm^2/s$. As a result, the correlation coefficient obtained between the measured and calculated concentration was over 0.9 which means that the genetic algorithm should be successfully applied to estimate the unknown parameters of the nonlinear adsorption isotherms and advection-dispersion model.

• Journal of the KSME
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• v.31 no.8
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• pp.735-744
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• 1991

확산모델과 파모델의 결과에 있어 큰 차이가 일어나는 경우를 요약하면 다음과 같다. 1) 과도기 간이 짧다. 2) 작동온도가 아주 낮다. 3) 온도구배가 상당히 크다. 이때3)의 경우는 서로 다른 물질들이 접촉된 경우 또는 높은 열유속이 있는 경우 또는 얇은 표면층 등을 갖는 문제들의 공 통적인 특징이다. Non-Fourier 열전도 문제를 이용해 온도 분포를 예측해야 하는 실제적인 몇 가지 예를 살펴 보면 레이저 기술 또는 절대온도 영(zero)에 접근하는 온도에서의 액체 헬륨을 다루는 저온공학연구 또는 1/$10^{6}$Inch 정도의 표면조도가 관심사인 정밀공학 등을 들 수 있다. 또한 상당히 높은 강도의 열원이 작용될 때 고체에서의 크랙이나 보이드(void) 같은 국소 결함은 확산거동이 나타나기에 요구되는 시간보다 짧은 시간 구간에서 발생되어질 수 있으며, 크랙발생의 방향과 같은 것들은 hyperbolic 모델에의해 예측되어져야만 한다. 특히 움직이는 열원 또는 propagating crack tip을 갖는 경우에 그들 주위에서의 온도장을 규정짓는 가장 중요한 변 수는 열마하수 M이며, 아음속에서 초음속 영역으로 천이될 때 물리적 양들의 변화에 있어서 일어나는 현상들은 열충격의 형성에 기인하는데 이러한 현상들은 확산 모델로서는 예측될 수 없는 특징들이다. 이상에서 살펴볼 때 non-Fourier 모델에 대해 관심을 기울일 필요가 있다고 사료된다.

• Proceedings of the Korean Nuclear Society Conference
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• 1996.05b
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• pp.751-755
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• 1996

CE형 발전소 설계시 사용된 일부 전산코드들이 한시적으로 사용이 허가되어 국내 고유 전산코드로의 대체가 불가피하게 되었으며 그 예로 제어봉 이탈사고 해석에 사용된 STRIKIN II 코드를 들 수 있다. 한편 원자력 연구소에서 개발한 범용 전산코드 TASS의 노심 출력 계산은 1차원 확산 모델을 사용하여 축방향 노심 출력 계산이 가능하다. 본 논문에서는 이러한 전산코드 사용의 문제를 해결하고 또한 1차원 확산 모델의 제어봉 이탈 사고에 대한 적용 계산을 위해 TASS를 사용하여 제어봉 이탈사고 해석을 수행하고 그 대체 및 적용 가능성과 그 효과를 평가하였다. 계산 결과 1 차원 확산 모델을 사용한 TASS 결과가 Point Kinetics모델을 사용한 STRIKIN II 결과에 비해 보다 많은 운전 여유도를 확보하는 것으로 나타나 대체 및 적용 가능성을 확인하였다.