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Stochastic Structure of Daily Rainfall in Korea (한국 일강우의 추계학적 구조)

  • 이근후
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.31 no.4
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    • pp.72-80
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    • 1989
  • Various analyses were made to investigate the stochastic structure of the daily rainfall in Korea. Records of daily rainfall amounts from 1951 to 1984 at Chinju Metesrological Station were used for this study. Obtained results are as follows : 1. Time series of the daily rainfall at Chinju were positively, serially correlated for the lag as large as one day. 2. Rainfall events, defined as a sequence of consecutive wet days separated by one or more dry days, showed a seasonal variation in the occurrence frequency. 3. The marginal distribution of event characteristics of each month showed significant dif- ferences each other. Events occurred in summer had longer duration and higher magnitude with higher intensity than those of events occurred in winter. 4. There were significant positive correlations among four event characteristics ; dura- tion, magnitude, average intensity, and maximum intensity. 5. Correlations among the daily rainfall amounts within an event were not significant in general. 6. There were no consistant significancy in identity or difference between the distribu- tions of daily rainfall amounts for different days within events. 7. Above mentioned characteristics of daily rainfall time series must be considered in building a stochastic model of daily rainfall.

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Probability Distribution of Rainfall Events Series with Annual Maximum Continuous Rainfall Depths (매년최대 연속강우량에 따른 강우사상 계열의 확률분포에 관한 연구)

  • 박상덕
    • Water for future
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    • v.28 no.2
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    • pp.145-154
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    • 1995
  • The various analyses of the historical rainfall data need to be utilized in a hydraulic engineering project. The probability distributions of the rainfall events according to annual maximum continuous rainfall depths are studied for the hydrologic frequency analysis. The bivariate normal distribution, the bivariate lognormal distribution, and the bivariate gamma distribution are applied to the rainfall events composed of rainfall depths and its durations at Kangnung, Seoul, Incheon, Chupungnyung, Teagu, Jeonju, Kwangju, and Busan. These rainfall events are fitted to the the bivariate normal distribution and the bivariate lognormal distribution, but not fitted to the bivariate gamma distribution. Frequency curves of probability rainfall events are suggested from the probability distribution selected by the goodness-of-fit test.

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Some models for rainfall focused on the inner correlation structure

  • Kim, Sangdan
    • Proceedings of the Korea Water Resources Association Conference
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    • 2004.05b
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    • pp.1290-1294
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    • 2004
  • In this study, new stochastic point rainfall models which can consider the correlation structure between rainfall intensity and duration are developed. In order to consider the negative and positive correlation simultaneously, the Gumbels type-II bivariate distribution is applied, and for the cluster structure of rainfall events, the Neyman-Scott cluster point process is selected. In the theoretical point of view, it is shown that the models considering the dependent structure between rainfall intensity and duration have slightly heavier tail autocorrelation functions than the corresponding independent mode]s. Results from generating long time rainfall events show that the dependent models better reproduce historical rainfall time series than the corresponding independent models in the sense of autocorrelation structures, zero rainfall probabilities and extreme rainfall events.

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Probabilistic Analysis of Independent Storm Events: 1. Construction of Annual Maximum Storm Event Series (독립호우사상의 확률론적 해석: 1. 연최대 호우사상 계열의 작성)

  • Park, Min-Kyu;Yoo, Chul-Sang
    • Journal of the Korean Society of Hazard Mitigation
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    • v.11 no.2
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    • pp.127-136
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    • 2011
  • In this study, annual maximum storm events are proposed to determined by the return periods considering total rainfall and rainfall intensity together. The rainfall series at Seoul since 1961 are examined and the results are as follows. First, the bivariate exponential distribution is used to determine annual maximum storm events. The parameter estimated annually provides more suitable results than the parameter estimated by whole periods. The chosen annual maximum storm events show these properties. The events with the biggest total rainfall tend to be selected in the wet years and the events with the biggest rainfall intensity in the wet years. These results satisfy the concept of critical storm events which produces the most severe runoff according to soil wetness. The average characteristics of the annual maximum storm events said average rainfall intensity 32.7 mm/hr in 1 hr storm duration(total rainfall 32.7 mm), average rainfall intensity 9.7 mm/hr in 24 hr storm duration(total rainfall 231.6 mm) and average rainfall intensity 7.4 mm/hr in 48 hr storm duration(total rainfall 355.0 mm).

Distribution of average intervent times between adjacent rainfall events for overflow risk-based design of storm-water infiltration basin (월류위험도 기반 침투형저류지 설계를 위한 평균무강우지속시간도 작성)

  • Kim, Dae Geun;Park, Sun Jung
    • Journal of Korean Society of Water and Wastewater
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    • v.22 no.2
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    • pp.195-203
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    • 2008
  • This study collected the latest 30-year (1976~2005) continuous rainfall data hourly recorded at 61 meterological observatories in Korea. The continuous rainfall data was divided into individual rainfall events. In addition, distribution charts of average intervent times between adjacent rainfall events were created to facilitate the application to the overflow risk-based design of storm-water infiltration basin. This study shows that the one-parameter exponential distribution is suitable for the frequency distribution of the average intervent times for the domestic rainfall data. Distribution charts of the average intervent times were created for 4 hour and 6 hour of storm separation time, respectively. The inland Gyeongsangbuk-do and Western coastal area had relatively longer average intervent times, whereas Southern coastal area and Jeju-do had relatively shorter average intervent times.

Application of the Beta Distribution for the Temporal Quantification of Storm Events (호우사상의 시간적 정량화를 위한 베타분포의 적용)

  • Jun, Chang-Hyun;Yoo, Chul-Sang
    • Journal of Korea Water Resources Association
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    • v.45 no.6
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    • pp.531-544
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    • 2012
  • This study suggested the parameter estimation method for given rainfall events to be properly expressed by the beta distribution. For this purpose, this study compared the characteristics of probability density function with the parameter proposed considering the cases with and without addition to the rainfall peak, and the cases of using the real hyetograph and the rearranged hyetograph about the rainfall peak. As an example, this study analyzed the independent rainfall events at Seoul in 2010 and the annual maximum independent rainfall events from 1961 to 2010. The results derived are as follows. First, this study confirmed the necessity of additional consideration on rainfall peak to mimic the real hyetograph of rainfall events by the beta distribution. Second, this study confirmed the case of using rearranged hyetograph about the rainfall peak derived a better beta distribution to well mimic the characteristics of real rainfall than the case using the real hyetograph.

The effect of Combined Sewer Overflows on river's water quality

  • Bae, Hun Kyun
    • Membrane and Water Treatment
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    • v.11 no.1
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    • pp.49-57
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    • 2020
  • The effect of Combined Sewer Overflow on the river system was investigated throughout three preliminary field tests and three main ones. As a result of the study, Combined Sewer Overflow did not affect water qualities on the main stream since the concentration of the main stream did not significantly changed during rainfall events although the water quality of tributaries has rapidly deteriorated due to the influence of the Combined Sewer Overflow during rainfall events. The main cause of the result is that the flow rate of the tributaries is considerably lower than that of the main stream, so that the tributaries with deteriorated water quality during rainfall events did not significantly affect the quality of the actual main stream. Therefore, the water quality of the Kumho River is more affected by the wastewater treatment facilities that discharges water continuously to the main stream than pollutants from non-point pollution sources during rainfall events. As a result, managements for discharges from wastewater treatment facilities should be strengthened in order to improve the water quality of the river.

Extreme Rainfall and Flood related to Tropical Moisture Exports Related Extreme in Korea

  • Uranchimeg, Sumiya;Kwon, Hyun-Han;Kim, Kyung-Wook
    • Proceedings of the Korea Water Resources Association Conference
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    • 2018.05a
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    • pp.170-170
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    • 2018
  • In some case studies, the heavy precipitation events and rapid cyclogenesis in the extratropics can be caused by moist and warm tropical air masses. Tropical Moisture Exports (TME) correspond to the meridional transport of moist air masses, primarily born in tropical oceanic areas, to higher latitudes; and are closely related to flood events, especially in the mid-latitudes. The TME for the region of interest is mostly estimated by the back tracking approach using Lagrangian Analysis Tools (LAGRANTO) from ECMWF Re-Analysis (ERA) data. In this study, we aim to estimate the TME that are related to rainfall in Korea. The major moisture sources of the TME that contribute to heavy rainfall and extreme floods in Korea are identified. The TME is found to have significant connection with extreme events in Korea such as heavy rainfall and extreme flood events. The results show the most of the moisture sources comes from the west Pacific during the warm half of the year and it contributes significantly to the annual TME and is linked to the East Asian monsoon.

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Analysis on the Characteristics about Representative Temporal-distribution of Rainfall in the Annual Maximum Independent Rainfall Events at Seoul using Beta Distribution (베타분포를 이용한 서울 지점 연 최대치 독립 호우사상의 대표 시간분포 특성 분석)

  • Jun, Chang Hyun;Yoo, Chulsang
    • Journal of Korea Water Resources Association
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    • v.46 no.4
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    • pp.361-372
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    • 2013
  • This study used the beta distribution to analyze the independent annual maximum rainfall events from 1961 to 2010 and decided the representative rainfall event for Seoul. In detail, the annual maximum rainfall events were divided into two groups, the upper 50% and the lower 50%. For each group, a beta distribution was derived to pass the mean location of the rainfall peaks. Finally, the representative rainfall event was decided as the rainfall histogram of the arithmetic average of the two beta distributions derived. The representative rainfall event derived has a realistic shape very similar to those observed annual maximum rainfall events, especially with the higher rainfall peak compared to that of the Huff distribution. Comparison with other rainfall distribution models shows that the temporal distribution of the representative rainfall event derived in this study is most similar to the Keifer & Chu model.

Applicability of a Space-time Rainfall Downscaling Algorithm Based on Multifractal Framework in Modeling Heavy Rainfall Events in Korean Peninsula (강우의 시공간적 멀티프랙탈 특성에 기반을 둔 강우다운스케일링 기법의 한반도 호우사상에 대한 적용성 평가)

  • Lee, Dongryul;Lee, Jinsoo;Kim, Dongkyun
    • Journal of Korea Water Resources Association
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    • v.47 no.9
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    • pp.839-852
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    • 2014
  • This study analyzed the applicability of a rainfall downscaling algorithm in space-time multifractal framework (RDSTMF) in Korean Peninsula. To achieve this purpose, the 8 heavy rainfall events that occurred in Korea during the period between 2008 and 2012 were analyzed using the radar rainfall imagery. The result of the analysis indicated that there is a strong tendency of the multifractality for all 8 heavy rainfall events. Based on the multifractal exponents obtained from the analysis, the parameters of the RDSTMF were obtained and the relationship between the average intensity of the rainfall events and the parameters of the RDSTMF was developed. Based on this relationship, the synthetic space-time rainfall fields were generated using the RDSTMF. Then, the generated synthetic space-time rainfall fields were compared to the observation. The result of the comparison indicated that the RDSTMF can accurately reproduce the multifractal exponents of the observed rainfall field up to 3rd order and the cumulative density function of the observed space-time rainfall field with a reasoable accuracy.