• Title/Summary/Keyword: 혼합 Gumbel 분포

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Statistical frequency analysis of snow depth using mixed distributions (혼합분포함수를 적용한 최심신적설량에 대한 수문통계학적 빈도분석)

  • Park, Kyung Woon;Kim, Dongwook;Shin, Ji Yae;Kim, Tae-Woong
    • Journal of Korea Water Resources Association
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    • v.52 no.12
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    • pp.1001-1009
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    • 2019
  • Due to recent increasing heavy snow in Korea, the damage caused by heavy snow is also increasing. In Korea, there are many efforts including establishing disaster prevention measures to reduce the damage throughout the country, but it is difficult to establish the design criteria due to the characteristics of heavy snow. In this study, snowfall frequency analysis was performed to estimate design snow depths using observed snow depth data at Jinju, Changwon and Hapcheon stations. The conventional frequency analysis is sometime limted to apply to the snow depth data containing zero values which produce unrealistc estimates of distributon parameters. To overcome this problem, this study employed mixed distributions based on Lognormal, Generalized Pareto (GP), Generalized Extreme Value (GEV), Gamma, Gumbel and Weibull distribution. The results show that the mixed distributions produced smaller design snow depths than single distributions, which indicated that the mixed distributions are applicable and practical to estimate design snow depths.

Evaluation of Extreme Flood Events Using Bivariate Flood Frequency Analysis (이변량 홍수빈도해석을 이용한 극한홍수사상 평가)

  • Lee, Jeong-Ho;Chung, Gun-Hui;Kim, Tae-Woong
    • Proceedings of the Korea Water Resources Association Conference
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    • 2009.05a
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    • pp.1467-1471
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    • 2009
  • 홍수사상은 크게 첨두홍수량, 홍수용적, 지속기간 등과 같은 서로 상관된 세 가지 요소로 구성되어 있다. 그러나 그동안 홍수의 규모와 크기를 판단하고 예측하기 위하여 수행되어 온 홍수빈도 해석에서는, 서로 상관되어있는 요소들 간의 관계를 고려하지 않은 채 주로 첨두홍수량 하나만을 가지고 단변량 빈도 해석을 수행하였다. 이와 같은 단변량 홍수빈도 해석은 특정 홍수의 특성을 종합적으로 표현하는 데 한계를 가지고 있다. 따라서 본 연구에서는 홍수빈도 해석에 있어 첨두홍수량뿐만 아닌 홍수용적까지도 함께 고려하였다. 소양강댐의 35개년 일유입량 자료를 대상으로 홍수사상을 각각의 강우량 자료와 연계하여 분리한 후 Gumbel 혼합모형을 적용하여 이변량 홍수빈도 해석을 수행함으로써 과거의 극한 홍수사상을 평가 분석하였다. 이변량 빈도해석을 수행하여 홍수사상 요소들 간의 결합분포, 결합 재현기간 등을 추정하였다. 단변량 홍수빈도 해석 결과와 비교함으로써 특정 홍수에 대한 홍수심도를 분석하는 등 극한 홍수사상 평가를 위한 이변량 홍수빈도 해석기법의 적용성에 관하여 검토하였다. 이러한 연구 결과는 기존의 제방 중심 치수사업의 대안으로 제시된 유역종합치수계획에서 선정된 다양한 홍수방어 시설들의 설계 및 운영, 치수효과 평가 등에 유용하게 적용될 수 있을 것이다.

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Statistical Properties of Material Strength of Concrete, Re-Bar and Strand Used in Domestic Construction Site (국내 현장의 콘크리트, 철근 및 강연선 재료 강도에 대한 통계 특성 분석)

  • Paik, In-Yeol;Shim, Chang-Su;Chung, Young-Soo;Sang, Hee-Jung
    • Journal of the Korea Concrete Institute
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    • v.23 no.4
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    • pp.421-430
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    • 2011
  • As a fundamental study to introduce the reliability-based design code, a statistical study is conducted for the material strength data collected from domestic construction sites. In order to develop a rational design code based on statistics and reliability theory, it is essential to obtain the statistical properties of material strength. Material strength data for concrete, reinforcing bars, and prestressing strands which are used in domestic construction sites are collected and statistically analyzed. Then, the statistical properties are compared with those used in the process of the reliability-based calibration of internationally leading design codes. The statistical properties of the domestic data are such that the bias factor is relatively uniform between 1.13 and 1.20 and the coefficient of variation is below 0.10. Reinforcing bar data show difference among different manufacturers but there is not much difference among re-bar diameters. In the case of tendons, which are high strength materials, both of the domestic and foreign data show smaller values of the bias factor and the coefficient of variation than those of concrete and re-bar. Statistical distribution of all the material strength can be properly assumed as normal, log-normal, or Gumbel distribution after analyzing the classified data by individual construction site and manufacturer rather than the mixed data obtained from different sources in order to express the individual distribution of each structure.