• Journal of Korean Society of Coastal and Ocean Engineers
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• v.27 no.4
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• pp.246-257
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• 2015

The progressive degradation paths of structures have quantitatively been tracked by using stochastic processes, such as Wiener process, gamma process and compound Poisson process, in order to consider both the sampling uncertainty due to the usual lack of damage data and the temporal uncertainty associated with the deterioration evolution. Several important features of stochastic processes which should carefully be considered in application of the stochastic processes to practical problems have been figured out through assessing cumulative damage and lifetime distribution as a function of time. Especially, the Wiener process and the gamma process have straightforwardly been applied to armors of rubble-mound breakwaters by the aid of a sample path method based on Melby's formula which can estimate cumulative damage levels of armors over time. The sample path method have been developed to calibrate the related-parameters required in the stochastic modelling of armors of rubble-mound breakwaters. From the analyses, it is found that cumulative damage levels of armors have surely been saturated with time. Also, the exponent of power law in time, that plays a significant role in predicting the cumulative damage levels over time, can easily be determined, which makes the stochastic models possible to track the cumulative damage levels of armors of rubble-mound breakwaters over time. Finally, failure probabilities with respect to various critical limits have been analyzed throughout its anticipated service life.

• Water for future
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• v.14 no.1
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• pp.51-58
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• 1981

This study attempts to examine and estabilish a simulation model from the stochastic analysis of daily streamflow. Daily streamflow records obstained at the main gauging stations along the Han, Nakdong and Geum River were used in the analysis. The following results were abtained. From the analysis of time series of streamflow by the correlogram and spectraal density, The serial component of one-year periodicity, serial correlation and irregular or random component were found. The coefficient of determination R2 of multilag model remaine a plateau at log-two, so that second order mu.ltilag model was Known to fit in the simulation of daily streamflow, Consequently, multilag and recised Markov model of the sewnd order give the best results in simulatin of daily streamflow. But the former generally gives better results than the latter. And theoretical markev model is unfit in the simulation of daily series without modification.

• Journal of Korea Water Resources Association
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• v.30 no.4
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• pp.411-420
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• 1997

QUAL2E-AFOSM model is developed to forecast the water quality by reliability analysis in the Nakdong River. A varied-flow analysis is performed for the reach of Waegwan to Mulgeum to estimate hydraulic parameters. An optimization technique by BFGS method is applied to determine the optimum reaction parameters and calibrations and verifications are performed based on these parameters. A reliability analysis for the stochastic analysis in a river is studied using the AFOSM method. The variations of water quality and discharge in the headwater, tributaries, and reaction coefficients are considered. Risks of violating existing water quality standards at several loactions in the Nakdong River are computed by using the QUAL2E-AFOSM method. The computed results computed by QUAL2E-AFOSM model agree with those of the Monte-Carlo method in QUAL2EU model.

• Computational Structural Engineering
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• v.8 no.1
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• pp.127-136
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• 1995

In this paper the stochastic FE analysis considering the material and geometrical property of the plate structure is performed by the weighted integral method. To consider the stochasity of the material and geometrical property, the stochastic field is assumed respectively. The mean value of the stochastic field is 0 and the value of variance is assumed as 0.1. The characteristics of the assumed stochastic field is represented by auto-correlation function. This auto-correlation function is used in evaluating the response variability of the plate structure. In this study a new auto-correlation function is derived to concern the uncertainty of the plate thickness. The newly derived auto-correlation function is a function of auto-correlation function and coefficient of variation of the assumed stochastic field. The two results, obtained by proposed Weighted Integral method and Monte Carlo Simulation method, are coincided with each other and these results are almost equal to the theoretical result that is derived in this study. In the case of considering the variability of plate thickness, the obtained result is well coincide with those of Lawrence and Monte Carlo simulation.

• Water for future
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• v.19 no.2
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• pp.149-156
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• 1986

The generated sequences of monthly flows were analyzed based on the range concept. With the optimum operation rule of the reservoirs as the one which maximizes the wateruse downstream the waterrelease from the reservoir was determined and with \ulcorner consideration to the mean inflows and the range of monthly flows the required reservoirs capacity was stochastically determind. It is suggested that the result obtained in this study would be applied to approximately estimate, in the stage of preliminary design, the required capacity of a reservoir in question with the limited information such as the mean monthly inflow and the period of reservoir operation. For the determination of a reservoir capacity Rippl's mass-curve method has been long used with the past river flow data assuming the same flow records will be repeated in the future. This study aims to find out a better method for determining the reservoir capacity by employing the analytical theory based on the stochastic process. For the present study the synthetic generation methods of Thomas-Fiering type was used to synthetically generate 50 years of monthly river inflows to three single-purpose reservoirs and three multi-purpose reservoirs.

• Journal of Korea Water Resources Association
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• v.49 no.4
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• pp.283-291
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• 2016

As the infrastructures and populations are the condensed in the mega city, urban flood management becomes very important due to the severe loss of lives and properties. For the more accurate calculation of runoff from the urban catchment, hourly or even minute rainfall data have been utilized. However, the time steps of the measured or forecasted data under climate change scenarios are longer than hourly, which causes the difficulty on the application. In this study, daily rainfall data was disaggregated into hourly using the stochastic method. Based on the historical hourly precipitation data, Gram Schmidt orthonormalization process and K-Nearest Neighbor Resampling (KNNR) method were applied to disaggregate daily precipitation into hourly. This method was originally developed to disaggregate yearly runoff data into monthly. Precipitation data has smaller probability density than runoff data, therefore, rainfall patterns considering the previous and next days were proposed as 7 different types. Disaggregated rainfall was resampled from the only same rainfall patterns to improve applicability. The proposed method was applied rainfall data observed at Seoul weather station where has 52 years hourly rainfall data and the disaggregated hourly data were compared to the measured data. The proposed method might be applied to disaggregate the climate change scenarios.

• Proceedings of the Computational Structural Engineering Institute Conference
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• 2011.04a
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• pp.218-221
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• 2011

본 연구에서는 추계학적 해석을 통하여 구한 교량의 동적 변위와 동일한 변위를 발생시키는 등가 정적 버페팅 하중을 구하는 방법을 제시하고, 단순 양단 캔틸레버에 적용하여 타당성을 검증하였다. 모드 형상이 복잡한 사장교의 경우에 2개 이상의 모드를 포함해야 정확도를 높일 수 있는 것으로 나타났다.

• Proceedings of the Korea Water Resources Association Conference
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• 2007.05a
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• pp.1900-1904
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• 2007

지금까지 수공구조물의 설계와 기존 시설의 안전도를 평가시 수문, 수리 및 경제학적 함수들에서 발생하는 불확실성을 설명하기 위하여 안전율 또는 여유고를 증가시키거나 이들 정보의 양과 질을 증가시켜 데이터베이스를 확장하고 측정오차를 최소화시키며, 전통적인 통계해석을 적용하였다. 공공의 안전을 확보하기 위하여 설계과정에 안전율 또는 여유고가 도입되었으나 이것은 단순히 보다 높은 재현기간의 적용을 의미하며, 수문현상이 가지는 추계학적 특성보다 확정론적인 근거로부터 안전설계 개념이 개발되었다. 수자원 계획시 고려되는 부하와 저항은 확정론적인 고정치가 아니라 시간에 따라 변하고 동적이며, 무작위적이므로 확률 변수로서 고려되어야 한다. 이에 따라 최근 수자원 계획과정에서 불확실성 해석에 의한 위험도 분석 개념이 도입되고 있으며, 특히 이상기후 및 집중호우의 빈발, 급격한 도시화로 인한 유출양상의 변화 등으로 급증하고 있는 훙수피해를 감안할 때 설계빈도의 상향조정과 같은 확정론적인 방법보다는 매개변수 또는 함수의 불확실성을 고려한 위험도 해석의 필요성이 더욱 증대되고 있는 실정이다. 따라서 본 논문에서는 수자원 계획시 입력자료 및 매개변수의 불확실성과 불확실성의 분리를 고려한 홍수량의 산정 및 각 매개변수의 영향을 평가하여 홍수위험도 해석에 있어서 모델 매개변수의 영향 규명과 처리방안을 제시하고자 한다.

• Journal of the Korean Association of Geographic Information Studies
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• v.13 no.1
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• pp.101-113
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• 2010

Recently actual rainfall pattern is decreasing rainy days and increasing in rainfall intensity and the frequency of flood occurrence is also increased. To consider recent situation, Engineers use deterministic methods like a PMP(Probable Maximum Precipitation). If design storm wouldn't occur, increasing of design criteria is extravagant. In addition, the biggest structure cause trouble with residents and environmental problem. And then it is necessary to study considering probability of rainfall parameter in each sub-basin for design of water structure. In this study, stochastic rainfall patterns are generated by using log-ratio method, Johnson system and multivariate Monte Carlo simulation. Using the stochastic rainfall patterns, hydrological analysis, hydraulic analysis and 2nd flooding analysis were performed based on GIS for their applicability. The results of simulations are similar to the actual damage area so the methodology of this study should be used about making a flood risk map or regidental shunting rout map against the region.

• Proceedings of the Korea Water Resources Association Conference
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• 2011.05a
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• pp.222-222
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• 2011

안전한 수질의 용수를 안정적으로 공급하기 위해 대단위 농업단지를 중심으로 농업용 관수로 건설이 고려되고 있는 환경에서 보다 경제적으로 관수로를 건설하기 위한 연구가 수행되었다. 관수로의 최적 관경설계는 전통적으로 비선형성을 고려하여야 하므로 수리학적 해석모형과 추계학적 탐색기법을 이용한 연구가 수행되었다. 그러나 본 연구에서는 비선형성을 가진 최적 관경시스템의 선형화를 시도한 후, 농지이용에 따른 대표작물에 대한 설계용수량을 사용한 농업용 관수로 관경 최적화를 시도하였다. 제안된 모형을 이용하여 농지의 크기, 작물의 형태, 동수경사선의 기울기에 따라 적합한 관경을 산정하였으며, 그 결과를 이용한 설계 표준화를 시도하였다. 표준화된 설계지침을 이용하면 향후 보다 편리하게 농업용 관수로를 설계할 수 있을 것으로 판단된다. 또한 실제 관수로에의 적용성을 입증하기 위해 실제 건설되는 농업단지의 설계에 제안된 모형을 이용하고, 시행착오법으로 산정된 결과와 비교하여 그 경제성을 입증하였다.