• Journal of Korea Water Resources Association
• /
• v.39 no.5 s.166
• /
• pp.417-430
• /
• 2006

In this study, the probability density functions (PDFs) of the rainfall generated by PRPM(Poisson Rectangular Pulse Model) and the runoff simulated by SLRM(Single Linear Reservoir Model) and Nash model, were compared to find out the changes of runoff characteristics due to the change of rainfall characteristics. Effect of rainfall frequency, Intensity, and duration on runoff were evaluated using the PDFs derived. Two basin, small and midium-sized ones, were also selected to find out the effect of basin size. As the results, we found that the arrival time, the intensity, and the duration of rainfall differently influence the runoff characteristics, which could be applied to evaluate the effect of climate change.

• Proceedings of the Korea Water Resources Association Conference
• /
• 2022.05a
• /
• pp.200-200
• /
• 2022

본 연구에서는 총 강우량과 강우강도을 고려한 이변수 분석으로 연최대 호우사상을 선별하고, 두 변수를 Copula 함수로 결합하여 최적의 모델조합을 찾는 확률호우사상 산정 방법론을 제시하였다. 국내 69개 관측소의 2020년까지의 관측 자료를 대상으로 1mm 이하의 강우는 제거한 뒤, IETD(Inter-Event Time Definition) 12시간을 기준으로 강우자료를 독립적인 호우사상으로 분리하였다. 호우사상의 여러 특성 중 양의 상관관계를 갖는 총 강우량과 강우강도를 변수로 선택해 이변수 지수분포에 대입하였고, 각 지점의 연최대 호우사상 시계열을 생성하였다. 2변수 지수분포의 매개변수는 전체 기간과 연도별로 나누어 추정해 본 결과 연도별 변동성이 큰 것을 확인해 연도별 추정 방식을 선택하였다. 연최대 강우사상 시계열의 총 강우량과 강우강도는 극한 강우에 적용하는 확률분포형 중 Lognarmal, Gamma, Gumbel, GEV(Generalized Extreme Value), GPD(Generalized Pareto Distribution) 5가지를 사용하여 각각 CDF(Cumulative distribution Function) 값을 추정하였다. 계산된 CDF 값은 3가지 Copula 모형으로 결합해 joint CDF 값을 산출하였다. 총 75개의 모델조합 중 최적 모델을 찾기 위해 CVM(Cramer-von-Mises) 적합도 검정을 시행하였다. CVM의 통계량 Sn 값이 가장 작은 모델조합을 해당 지점의 최적 모델조합으로 선정하였다.

• Journal of the Korean Geotechnical Society
• /
• v.35 no.12
• /
• pp.45-58
• /
• 2019

In this study, a stochastic analysis procedure based on numerical analysis was proposed to evaluate a kind of intensity-duration rainfall threshold for the initiation of slope failure due to rainfall infiltration. Fragility curves were generated as a function of rainfall intensity-duration from the results of probabilistic slope stability analysis by MCS considering the uncertainty of the soil shear strength, reflecting the results of infiltration analysis of rainfall over time. In the probabilistic analysis, slope stability analyses combined with the infiltration analysis of rainfall were performed to calculate the limit state function. Using the derived fragility curves, a chart showing the relationship between rainfall intensity and slope failure-time was developed. It is based on a probabilistic analysis considering the uncertainty of the soil properties. The proposed probabilistic failure distribution analysis could be beneficial for analyzing the time-dependent failure process of soil slopes due to rainfall infiltration, and for predicting when the slope failure should occur.

• Journal of the Korean Geotechnical Society
• /
• v.34 no.5
• /
• pp.37-51
• /
• 2018

The slope failure due to the rainfall infiltration occurs frequently in Korea, since the depth of the weathered residual soil layer is shallow in mountainous region. Depth of the failure surface is shallow and tends to pass near the interface between impermeable bedrock and soil layer. Soil parameters that have a significant impact on the instability of unsaturated slopes due to rainfall infiltration inevitably include large uncertainties. Therefore, this study proposes a probabilistic analysis procedure by Monte Carlo Simulation which considers the hydraulic characteristics and strength characteristics of soil as random variables in order to predict slope failure due to rainfall infiltration. The Green-Ampt infiltration model was modified to reflect the boundary conditions on the slope surface according to the rainfall intensity and the boundary condition of the shallow impermeable bedrock was introduced to predict the stability of unsaturated soil slope with shallow bedrock under constant rainfall intensity. The results of infiltration analysis were used as inputs of infinite slope analysis to calculate the safety factor. The proposed analysis method can be used to calculate the time-dependent failure probability of soil slope due to rainfall infiltration.

• Proceedings of the Korea Water Resources Association Conference
• /
• 2012.05a
• /
• pp.374-374
• /
• 2012

최근 기후변화에 따라 강우양상이 급격한 변화를 나타내고 있다. 년 평균 강우량의 증가뿐만 아니라 국지성 강우강도가 현저히 증가하여 홍수의 위험이 증대되고 있다. 강우특성변화에 따른 정확한 수문분석이 필요하고, 설계홍수량 산정을 위한 강우의 시간분포의 선정이 매우 중요하다. 본 연구에서는 기상청 서울지점의 계획강우분포를 도출하기 위해 국내에서 사용되고 있는 강우 시간분포 설정방법 중 Huff의 방법, Yen-Chow방법, 교호블럭법, Keifer-Chu방법을 비교 분석하였다. 확률강우량 산정을 위하여 기상청 관할 서울지점의 1954년부터 2010년까지 67년간의 강우량 자료를 사용하였다. 빈도분석은 국립방재연구원의 FARD2006을 이용하여 적합한 확률분포인 확률가중모멘트법에 의한 매개변수 추정과 ${\chi}^2$기법 등에 의한 적합도 검정을 거쳐 선정된 GEV분포를 사용하였고, 강우의 지속기간은 100분, 180분이며 재현기간은 100년, 200년, 300년, 500년으로 였다. 강우시간분포 설정방법 중 첨두강우량은 대체적으로 교호블록법이 가장 크다. Huff방법(2분위)은 첨두강우발생 전의 총 강우량이 첨두강우발생 후의 총 강우량 보다 큰 경향을 보이나, 다른 방법의 경우는 첨두강우발생 후 총 강우량이 전보다 더 크게 나타났다. 많이 쓰이는 방법 중 하나인 Huff 분포에 관하여 좀 더 정확한 연구가 필요할 것으로 사료된다.

• Journal of Korea Water Resources Association
• /
• v.55 no.10
• /
• pp.775-784
• /
• 2022

In this study, to determine the optimal order of the full-logged I-D-F polynomial equation, which is mainly used to calculate the probable rainfall over a temporal rainfall duration, the probable rainfall was calculated and the regression coefficients of the full-logged I-D-F polynomial equation was estimated. The optimal variable of the polynomial equation for each station was selected using a stepwise selection method, and statistical significance tests were performed through ANOVA. Using these results, the statistically appropriately calculated rainfall intensity equation for each station was presented. As a result of analyzing the variable selection outputs of the full-logged I-D-F polynomial equation at 9 stations in Gyeongbuk, the 1^st to 3^rd order equations at 6 stations and the incomplete 3^rd order at 1 station were determined as the optimal equations. Since the 1^st order equation is similar to the Sherman type equation and the 2^nd order one is similar to the general type equation, it was presented as a unified form of rainfall intensity equation for convenience of use by increasing the number of independent variables. Therefore, it is judged that there is no statistical problem in considering only the 3^rd order polynomial regression equation for the full-logged I-D-F.

• Journal of Korea Water Resources Association
• /
• v.44 no.7
• /
• pp.591-599
• /
• 2011

The rainfall intensity is a very essential factor which must be considered for the estimation of the time of concentration. The rainfall intensity, however, is not fully considered for the estimation of the time of concentration due to the complexity of the equation of rainfall intensity. To increase accuracy of the time of concentration, the rainfall intensity and return period were included in the derivation of the time of concentration equations in this study. The equation of rainfall intensity is Sherman type and the regional coefficients were estimated from the rainfall intensity readings on the probability rainfall maps published by Ministry of Construction and Transportation. For simple calculation of rainfall intensities, the contour maps were drawn that expresses coefficients of the Sherman type equation. By substituting the Sherman type equation of rainfall intensity in the equation of the time of concentration, a relatively simple equation with no repeated calculation has been derived. From the study results, in order to include the influence of the rainfall intensity for the estimation of the time of concentration, it is highly recommended that the Sherman type equation of rainfall intensity be used. When one knows a location in Korea and a return period, he can estimate the coefficients of the rainfall intensity equation and calculate the time of concentration considering the rainfall intensity.

• Proceedings of the Korea Water Resources Association Conference
• /
• 2002.05a
• /
• pp.158-163
• /
• 2002

• KSCE Journal of Civil and Environmental Engineering Research
• /
• v.28 no.4B
• /
• pp.363-374
• /
• 2008

Intensity-Duration-Frequency (IDF) curve that is essential to calculate rainfall quantiles for designing hydraulic structures in Korea is generally formulated by regression analysis. In this study, IDF curve derived by the cumulative distribution function ("IDF by CDF") of the proper probability distribution function (PDF) of each site is suggested, and the corresponding parameters of IDF curve are computed using genetic algorithm (GA). For this purpose, IDF by CDF and the conventional IDF derived by regression analysis ("IDF by REG") were computed for 22 Korea Meteorological Administration (KMA) rainfall recording sites. Comparisons of RMSE (root mean squared error) and RRMSE (Relative RMSE) of rainfall intensities computed from IDF by CDF and IDF by REG show that IDF by CDF is more accurate than IDF by REG. In order to accommodate the effect of the recent intensive rainfall of Korea, the rainfall intensities computed by the two IDF curves are compared with that by at-site frequency analysis using the rainfall data recorded by 2006, and the result from IDF by CDF show the better performance than that from IDF by REG. As a result, it can be said that the suggested IDF by CDF curve would be the more efficient IDF curve than that computed by regression analysis and could be applied for Korean rainfall data.

• Proceedings of the Korea Water Resources Association Conference
• /
• 1995.05a
• /
• pp.325-330
• /
• 1995