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1.
汉江流域极端水文事件时空分布特征 总被引：1，自引：0，他引：1
利用1960—2012年汉江流域15个气象站点的日降雨资料和3个水文站同时期日径流资料,分析了9个极端降雨指数的空间分布规律,运用广义极值分布(GEV)、Gamma分布两种极值统计模型对各站点的最大1 d降雨、最大3 d降雨极值样本进行拟合,遴选描述降雨极值分布规律最优概率模型,进而推算给定重现期下的降雨设计值,并分析其空间分布规律;选用Gumbel、Clayton和Frank这3种Copula函数建立降雨-洪量极值联合分布模型,优选最合适的Copula函数,由此计算给定重现期下的洪量设计值。结果表明:GEV分布模型能更好地模拟降雨极值序列,不同重现期下的降雨极值在空间上均呈西低东高的特征;3种Copula函数中,Frank Copula函数能更好地拟合降雨-洪量相关关系,由此推求的洪量设计值大于单变量拟合设计值。 相似文献
2.
为在宏观上对黄河中游水沙运动的变化规律从随机过程的角度予以揭示,以黄河中游潼关水文站1952-1998年期间流量超过6 000m3/s的次洪过程中的洪峰流量和相应的沙峰含沙量系列为基础,运用Copula函数方法构建了黄河中游汛期水沙联合分布模型并对其应用进行了探讨.结果表明:在水沙丰枯同步频率中,同丰的频率略大于同枯的... 相似文献
3.
When waves impact a seawall, a vertical breakwater, an exposed jetty, a pier or a coastal bridge, they abruptly transfer their momentum into the structure. This energy transfer can be very violent and its duration exceptionally short. In the case of coastal bridges, whose spans are designed to have very short vibration period, wave impacts might have duration comparable to the natural period of oscillation of the structure, which therefore becomes prone to damage and failure. Previous forensic studies have documented the relative importance of impulsive loads on deck suspended structure, demonstrating the need to assess the effect of wave impacts on both the stability and the integrity of structural members since the early stages of the design. This requires the estimation of the dynamic characteristics of the loading pattern, and in particular the wave impulse and corresponding impact maxima and rise times. Based on the conservation of momentum, functional relationships between these parameters have been identified since pioneering work dating back to the late '30s of the 20th century. The complexity of the loading process, however, results in a significantly large variability of wave impact maxima and rise times even under similar conditions, suggesting the need for a probabilistic approach to the definition of the relationship between these two variables, to be applied when estimating the dynamic properties of wave for use in structural analysis of coastal structures. In the recent past, some effort has been made to identify functional relationships between such quantities; these require the assessment of the conditional quantiles (or similarly the conditional distribution) of wave impact maxima given the rise times. In this paper, we compare three different statistical methods proposed in the literature to accomplish this task, in order to assess the reliability of the approach and suggest guidelines for practical applications. A copula-based method, Generalized Additive Models for Location, Scale and Shape (GAMLSS), and quantile regression are applied to measurements from large-scale 3-dimensional physical model tests. The investigation suggests that quantile regression gives the simplest results to be used in practice; copula approach and GAMLSS are possible alternative when semi-parametric or fully parametric modeling is needed. 相似文献
4.
基于Copula理论的粗粒土渗透破坏临界水力比降估值 总被引：1，自引：0，他引：1
破坏水力比降是土体渗透稳定性分析和渗流控制的基础。以渗透变形试验为基础,分析了粗粒土临界水力比降与孔隙比、级配不均匀系数和曲率系数间的相关性。利用Copula理论适合建立多个非独立变量间联合分布函数的优点,构造了拟合粗粒土临界水力比降crJ、孔隙比e、级配不均匀系数uC和曲率系数cC间相关关系的最优Copula函数,并将其应用于粗粒土临界水力比降估值。结果表明:具有单参数的四维对称Archimedean Copula函数的Nelsen No 6为最优Copula函数。利用构造的最优Copula函数求条件概率,便可得到粗粒土临界水力比降估值的保证率,或者计算在一定保证率条件下临界水力比降估值。通过比较临界水力比降试验值与Copula理论方法、Terzaghi公式及刘杰公式估值,阐述了Copula理论的可靠性,为建立粗粒土临界水力比降与孔隙比及级配特征的多变量统计概率关系及临界水力比降估值提供了一种新途径。 相似文献
5.
小样本容量岩土体参数最优联合概率分布模型的识别是一个富有挑战性的问题。基于Bootstrap提出了小样本容量岩土体参数最优边缘分布函数和最优Copula函数识别方法。简要介绍了岩土体参数联合概率分布函数构造的Copula方法,采用AIC准则识别最优的边缘分布函数和Copula函数。将识别结果表示为不同备选边缘分布函数和Copula函数为最优边缘分布和最优Copula的权重系数集合,以基桩荷载-位移双曲线参数试验数据为例证明了所提方法的有效性。结果表明:基于小样本容量岩土体参数试验数据估计的样本均值、标准差和相关系数具有较大的离散性,这种离散性进一步导致了统计量AIC值存在较大变异性。提出的基于Bootstrap的最优边缘分布函数和最优Copula函数识别方法不仅可以有效地考虑统计量AIC值的变异性,而且能够综合地反映不同备选边缘分布函数和Copula函数为最优边缘分布和最优Copula函数的概率,为小样本容量岩土体参数最优边缘分布函数和最优Copula函数的识别提供了一条有效的途径。 相似文献
6.
单变量水文统计中一些广为接受的概念在多变量环境下尚缺乏深入分析，也易被误解，如N年内重现期大于等于T的多变量事件发生的次数与N/T的关系。实践中，多变量联合重现期与其边缘分布变量重现期的一些经验关系被发现并通过了案例验证分析，但缺乏解释和推导。基于GH Copula推导了双变量联合重现期与边缘分布变量重现期的关系以及双变量事件发生次数与其重现期、变量相关程度间的定量关系。以昆明56年的逐月SPI（Standardized Precipitation Index）和SRI（Standardized Runoff Index）识别了干旱事件，采用GH Copula构建了干旱历时和烈度的联合分布函数，验证了双变量联合重现期与边缘分布变量重现期的关系以及多变量事件发生次数与其重现期的定量关系。表明不宜以"and"第1重现期是否接近于比该干旱事件的旱情更重的干旱发生的平均时间间隔来说明干旱特征值重现期分析的合理性。变量的相关性不强时，需谨慎采用边缘分布变量重现期的较大值近似代替"and"事件的第1重现期。 相似文献
7.
Large spring floods in the Québec region exhibit correlated peakflow, duration and volume. Consequently, traditional univariate hydrological frequency analyses must be complemented by multivariate probabilistic assessment to provide a meaningful design flood level as requested in hydrological engineering (based on return period evaluation of a single quantity of interest). In this paper we study 47 years of a peak/volume dataset for the Romaine River with a parametric copula model. The margins are modeled with a normal or gamma distribution and the dependence is depicted through a parametric family of copulas (Arch 12 or Arch 14). Parameter joint inference and model selection are performed under the Bayesian paradigm. This approach enlightens specific features of interest for hydrological engineering: (i) cross correlation between margin parameters are stronger than expected , (ii) marginal distributions cannot be forgotten in the model selection process and (iii) special attention must be addressed to model validation as far as extreme values are of concern. 相似文献
8.
M.‐A. Ben Aissia F. Chebana T. B. M. J. Ouarda L. Roy G. Desrochers I. Chartier É. Robichaud 《水文研究》2012,26(1):130-142
The analysis of the impact of climate change (CC) on flood peaks has been the subject of several studies. However, a flood is characterized not only by its peak, but also by other characteristics such as its volume and duration. Little effort has been directed towards the study of the impact of CC on these characteristics. The aim of the present study is to evaluate and compare flood characteristics in a CC context, in the watershed of the Baskatong reservoir (Province of Québec, Canada). Comparisons are based on observed flow data and simulated flow series obtained from hydrological models using meteorological data from a regional climate model for a reference period (1971–2000) and a future period (2041–2070). To this end, two hydrological models HSAMI and HYDROTEL are considered. Correlations, stationarity, change‐points, and the multivariate behaviour of flood series were studied. The results show that, at various levels, all flood characteristics could be affected by CC. Copyright © 2011 John Wiley & Sons, Ltd. 相似文献
9.
为研究实际水利条件下农业干旱的发生规律，简化农业干旱事件的评估方法，提出基于区域农业用水量的干旱重现期计算方法。通过构建农业用水量距平百分率干旱指标WA，在基于降雨量距平百分率干旱指标PA识别干旱事件的基础上，提取WA干旱指标下的干旱历时和干旱烈度特征变量，并根据以PA为干旱指标的干旱烈度频率分布曲线FS（x）和干旱历时频率分布曲线FD（x），运用Copula的简化方法计算基于WA的干旱事件重现期T，最后结合基于PA的干旱事件重现期T0，回归分析出T与T0间关系的计算公式。选取干旱灾害影响严重的亳州市为实证区域开展应用研究，计算得到1975-2007年各场干旱事件的T0和T以及T0与T的经验关系式。结果表明:T比T0更合理地反映区域农业实际受旱状况，重现期T0和T间存在高度的相关关系，采用T的回归方程可简化计算考虑区域实际抗旱能力下的干旱事件重现期，在区域防旱减灾实践中具有推广应用价值。 相似文献
10.
Jue Lin-Ye Begoña Pérez-Gómez Enrique Álvarez-Fanjul Javier García-Valdecasas 《Marine Geodesy》2020,43(5):509-539
AbstractThe sea level station operating since 1996 at Mazagón (Huelva, Spain) has been progressively upgraded to fit tsunami warning requirements, due to its location in one of the main regions at risk. Its radar water level sensor was complemented in 2017, with the addition of a pressure sensor. The performance of both sea level sensors and their response to sea level oscillations, at different frequencies, is assessed. Particular emphasis is put on the effect of extreme events, such as Storm Emma, when alternative methods to obtain 1-min data are tested, in contrast to the one based on arithmetic means. The overall differences are small, for the whole period of study (centered-root-mean-square-error below 1?cm, for 5-min, and hourly data; similar tidal parameters and sea level oscillations with periods between 30?s and 5?min). However, during Storm Emma, the pressure sensor presents sensibly lower readings than the radar, with the centered-root-mean-square-error rising to 80?mm on the March 2nd 2018. A new method to compute 1-min data, based on medians, reduced this value to 10?mm for the same day. 相似文献