• Title/Summary/Keyword: 확률강우강도식

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Evaluation of Probable Rainfall Intensity Formula Considering the Locality of Rainfall Pattern Change at Incheon City (국지성 호우패턴 변화를 고려한 인천지역 확률강우강도식의 산정)

  • Choi, Gye-Woon;Han, Man-Shin;Chung, Yeun-Jung
    • Proceedings of the Korea Water Resources Association Conference
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    • 2006.05a
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    • pp.846-851
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    • 2006
  • 본 논문은 최근 발생한 집중호우와 이상강우를 고려하여 인천지역에서 사용중인 확률강우강도식에 대한 새로운 확률강우강도식을 제안하였으며, 기상청 자료를 이용하여 지속시간 10분${\sim}$24시간까지의 임의시간 연최대강우량을 산정하였다. 강우지속기간별 확률강우량을 추정하기 위하여 11개의 확률분포형을 적용하였으며 Chi-square 검정방법, Kolmogorov -Smirnov 검정방법, Cramer Von Mises 검정방법으로 적합도 검정과 함께 최근 강우에 대한 경향을 분석하고 실제 발생한 강우 중에서 최대 발생 강우량을 고려하여 적정분포인 GEV 분포를 확률 분포형으로 선정하였다. 확률강우강도식은 최소자승법을 사용하여 Talbot형, Sherman형, Japanese형, 통합형 Ⅰ 및 Ⅱ 형태로 산정하였고, 지역내 하수도 및 하천의 지속시간을 감안하여 확률강우강도식을 결정하였다. 또한 정확성을 고려하여 통합형 Ⅰ을 선택하였고 지속시간에 따른 강우강도식의 확률강우와 관측치를 감안한 강도식을 인천지역의 강우강도식으로 제안하였다.

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A Derivation of the Typical Probable Rainfall Intensity Formula in KOREA (한국 대표확률강우강도식의 유도)

  • Lee, Won Hwan;Park, Sang Deog;Choi, Song Yeol
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.1
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    • pp.115-120
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    • 1993
  • The study is to derive a typical probable rainfall intensity formula(TPRIF) by analyzing pre-issued probable rainfall intensity formulas (PPRIF) over principal rainfall observation stations, and to obtain the regional characteristics based on the rainfall patterns by evaluating probable rainfall amount. The conclusions are as follows. A TPRIF which integrates PPRIF with a single pattern is presented. In deriving probable rainfall intensity, the application of TPRIF was more excellent than that of PPRIF. The value of R24/Rl which is the dimensionless ratio for rainfall characteristics tends to be inversely proportionate to the regional coefficient n. By comparing these values, the whole country could be divided into about 5 regions. In these five regions, the short-duration rainfall intensity is dominant in inland areas but the long-duration rainfall intensity is dominant in East Sea areas.

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Derivation of Probable Rainfall Intensity Formulas at Inchon District (인천지방 확률강우강도식의 유도)

  • Choe, Gye-Un;An, Tae-Jin;Gwon, Yeong-Sik
    • Journal of Korea Water Resources Association
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    • v.33 no.2
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    • pp.263-276
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    • 2000
  • This paper is to derive the probable rainfall depths and the probable rainfall intensity formulas for Inchon Metropolitan district. The annual maximum rainfall data from 10 min. to 6 hours have been collected from the Inchon weather station. Eleven types of probability distribution are considered to estimate probable rainfall depths for 12 different storm durations at the Inchon Metropolitan district. Three tests including Chi-square, Kolmogorov-Smimov and Cramer Von Mises with the graphical analysis are adopted to select the best probability distribution. The probable rainfall intensity formulas are then determined by the least squares method using the trial and error approach. Five types of Talbot type, Sherman type, Japanese type, Unified type I, and Unified type II are considered to determine the best type for the Inchon rainfall intensity. The root mean squared errors are computed to compare the accuracy from the derived formulas. It has been suggested that the probable rainfall intensities having Unified type I for the short term duration should be the most reliable formulas by considering the root mean squared errors and the difference between computed probable rainfall depth and estimated probable rainfall depth.

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Derivation of Rainfall Intensity-Duration-Frequency Equation Based on the Approproate Probability Distribution (지속기간별 강우자료의 적정분포형 선정을 통한 확률강우강도식의 유도)

  • Heo, Jun-Haeng;Kim, Gyeong-Deok;Han, Jeong-Hun
    • Journal of Korea Water Resources Association
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    • v.32 no.3
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    • pp.247-254
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    • 1999
  • The frequency analyses of annual maximum rainfall data for 22 rainfall gauging stations is Korea were performed. The method of moments (MOM), maximum likelihood (ML), and probability weighted moments (PWM) were used in parameter estimation. The GEV distribution was selected as an appropriate model for annual maximum rainfall data based on parameter validity condition, graphical analysis, separation effect, and goodness of fit tests. For the selected GEV model, spatial analysis was performed and rainfall intensity-duration-frequency equation was derived by using linearization technique. The derived rainfall intensity-duration-frequency equation can be used for estimating rainfall quantiles of the selected stations with convenience and reliability in practice.

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A Unification of the Probable Rainfall Intensity Formula at Seoul (서울지방의 통합형 확률강우강도식)

  • Lee, Won Hwan;Park, Sang Deog
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.12 no.4
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    • pp.135-143
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    • 1992
  • The probable rainfall depth is an important hydrologic design data in establishing the hydraulic engineering project at urban watershed. This study is to unificate the probable rainfall intensity formula at Seoul. The probable rainfall intensity formula at Seoul is basically formed by the types of Talbot, Sherman and Japanese. But these formulae may be unified to uniform type. The unified probable rainfall intensity formula is more applicable than that of the existing types at Seoul. Especially on the probable rainfall depth of total duration the application of unified formula general type is better than existing types. In this formula, values of n are decreasing with return period and increasing with rainfall duration, and values of coefficient, b, are decreasing with the increase of return period. The range of n varies from 0.55 to 0.60 for short duration, from 0.60 to 0.82 for long duration, and from 0.60 to 0.66 for total duration of probable rainfall depth.

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Suggestion of Probable Rainfall Intensity Formula Considering the Pattern Change of Maximum Rainfall at Incheon City (최대강우 패턴 변화를 고려한 인천지방 확률강우강도식의 제안)

  • Han Man-Shin;Choi Gye-Woon;Chung Yeun-Jung;Ahn Kyung-Soo
    • Journal of Korea Water Resources Association
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    • v.39 no.6 s.167
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    • pp.521-531
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    • 2006
  • The formula was proposed through the examination of probability rainfall intensity formula used in Incheon based upon recent occurrences of heavy rain and extraordinary storms. Random-time maximum annual rainfalls were estimated for durations from ten minutes to twenty-four hours from the data by Korea Meteorological Administration. Eleven types of probability distribution are considered to estimate probable rainfall depths for different storm durations at Incheon city. Three goodness-of-fit tests including Chi-square, Kolmogorov-Smirmov and framer Von Misses were used to analyze the tendency of recent rainfall. Considering maximum rainfall occurred, General Extreme Value(GEV) distribution was chosen as the appropriate probability distribution. Five types of probability rainfall formulas including Talbot type, Sherman type, Japanese type, unified type I and unified type II are considered to determine the best type for rainfall intensity at Incheon. The formula was determined considering the time of concentration of sewer system and river at Incheon city. Unified type I was chosen for its accuracy and was proposed to represent rainfall intensity of Incheon district.

Development of the Intensity-Duration-Frequency Curve at Kong-Ju Area (공주지역의 강우강도-지속기간-빈도곡선 개발)

  • Jeong, Sang-Man;Park, Seok-Chae;Yoo, Chan-Jong
    • Journal of the Korean Society of Hazard Mitigation
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    • v.2 no.2 s.5
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    • pp.85-93
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    • 2002
  • This paper is to derive the Intensity-Duration-Frequency Curve at Kong-Ju area after estimating probable rainfall depths using Rainfall Frequency Atlas of Korea. It has been suggested that the probable rainfall intensity formulas should be classified by short and long term basis in this area. The coefficients of determination of the probable rainfall intensity formulas are calculated as high as 0.9924 through 0.9971. Four types of rainfall intensity formulas such as Talbot type, Sherman type, Japanese type, General type are considered to determine the best type for the Kong-Ju area. Sherman type applied in this study can be determined as the representative probable rainfall intensity formula in the area. Therefore the rainfall intensity formulas for the selected return period in this study provide valuable insight into the estimation of the rainfall intensity. The developed Intensity-Duration-Frequency Curve can be used to provide a better hydraulic design at Kong-Ju area.

An Analysis on Hydrologic Characteristics of Design Rainfall for the Design of Hydraulic Structure (수공구조물 설계를 위한 설계강우의 수문학적 특성 분석)

  • Lee, Jeong-Sik;Lee, Jae-Jun;Park, Jong-Yeong
    • Journal of Korea Water Resources Association
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    • v.34 no.1
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    • pp.67-80
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    • 2001
  • This study is to propose temporal pattern of design rainfall which causes maximum peak discharge and to analyze the variation in peak discharge according to design rainfall durations. In this study, the Mononobe, the Yen and Chow triangular, the Huff's 4th quartiles and the Keifer and Chu methods are applied to estimate the proper temporal pattern of design rainfall and three rainfall-runoff models such as SCS, Nakayasu, and Clark methods are used to estimate the runoff hydrograph. And to examine the variability of peak discharge, the hydrologic characteristics from the rainfall-runoff models to which uniform rainfall intensity is applied are used as the standard values. The type of temporal pattern of design rainfall which causes maximum peak discharge in both of the watersheds and the rainfall-runoff models has resulted in Yen and Chow distribution method with the dimensionless vague of 0.75. On the basis of determined temporal pattern, the examination of the variability of peak discharge according to design rainfall durations shows that design rainfall duration varies greatly with the types of probable intensity formula, and the variation of peak discharge is more affected by the types of probable intensity formula and I-D-F currie than rainfall-runoff models.

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A Derivation of Regional Representative Intensity-Duration-Frequency Relationship Using Multivariate Analysis (다변량 분석을 이용한 권역별 대표확률강우강도식의 유도)

  • Lee, Jung-Sik;Cho, Seong-Geun;Jang, Jin-Uk
    • Journal of the Korean Society of Hazard Mitigation
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    • v.7 no.2 s.25
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    • pp.13-24
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    • 2007
  • This study is to derive the rainfall intensity formula based on the representative probability distribution using multivariate analysis in Korea. The annual maximum rainfall data at 57 stations having more than 30years long records were used for 12 durations(10min, 1, 2, 3, 4, 5, 6, 8, 10, 12, 18, 24hr). 50 rainfall characteristics elements are analyzed from the collected data. The widely used 14 probability distributions are applied to the basic data in hydrologic frequency analysis. The homogeneous tests(principal component and cluster analysis) are applied to find the rainfall homogeneity. The results of this study are as followings; (1) The homogeneous test shows that there is no appropriate representative distribution for the whole duration in Korea. But hydrological homogeneous regions of point rainfall could be divided by 5 regions. (2) The GEV distribution for zones I, III, IV, V and the Gumbel distribution for zone II are determined as the representative probability distribution. (3) Comparative analysis of the results shows that the probable rainfalls of representative zones are different from those of existing researches. (4) Rainfall intensity formulas are determined on the basis of the linearization technique for the probable rainfall.