Rainfall intensity model with spatialization of intensity-duration-frequency curve parameters - A case study for the state of Maranhão, Brazil

IF 0.6 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES

Acta Scientiarum-technology Pub Date : 2023-09-27 DOI:10.4025/actascitechnol.v45i1.63369

Mariana Medeiros Coelho, Nélio Moura de Figueiredo, Maria Teresinha de Medeiros Coelho, Lúcio Carlos Pinheiro Campos Filho

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Abstract

The characterization of intense rainfall in engineering projects is fundamental, mainly regarding the estimate of design flows necessary for designing hydraulic works. Intense rainfall events are commonly measured by Equations and curves that relate their intensity, duration, and frequency. Such relations, known as IDF, enable the hydrological characterization of a given region. This article presents a methodological design and results from both determination and spatialization of IDF curve parameters for the state of Maranhão. Historical series of maximum daily rainfalls obtained from National Water and Sanitation Agency (ANA) were used in 126 rainfall gauge stations and the Gumbel probability distribution estimated the maximum daily rainfall for 5, 10, 15, 25, 50, and 100 return periods. The Isozonal Method obtained the IDF correlations of intense rainfall events for 0,1. 1, and 24 h durations, and their performance were conducted by Nash-Sutcliffe R2 coefficient and Root Mean Square Relative Error (RMSE). “K, a, b, and c” parameters of intense rainfall equations were determined by optimization and convergence processes and their spatialization was carried out by interpolation by Inverse Distance Weighted (IDW), which enabled to determine the values of each parameter in regions without physical measurements of rainfall. Similarly, rainfall intensity was spatialized for the entire state. According to the results, the rainfall distribution in the state of Maranhão shows a variation in the indexes of precipitation, with the highest values found in areas located in central-southern, southwestern, and southeastern regions.

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具有强度-持续时间-频率曲线参数空间化的降雨强度模型——以巴西maranh州为例

工程项目中强降雨的表征是基本的，主要是关于设计水工工程所需的设计流量的估计。强降雨事件通常通过与其强度、持续时间和频率相关的方程和曲线来测量。这种关系被称为IDF，使某一地区的水文特征得以确定。本文介绍了maranh状态的IDF曲线参数的确定和空间化的方法设计和结果。利用126个雨量站的历史最大日降雨量序列，利用Gumbel概率分布估计了5、10、15、25、50和100个回归期的最大日降雨量。等纬法获得了2001年强降水事件的IDF相关。采用Nash-Sutcliffe R2系数和均方根相对误差(Root Mean Square Relative Error, RMSE)评价其处理效果。通过优化和收敛过程确定强降雨方程的“K, a, b, c”参数，并通过IDW插值对其进行空间化，从而在没有降雨物理测量的地区确定各参数的值。同样，整个州的降雨强度也被空间化了。结果表明，马兰河州的降水分布在降水指标上存在一定的差异，在中南部、西南部和东南部地区降水量最大。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Scientiarum-technology 综合性期刊-综合性期刊

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal publishes original articles in all areas of Technology, including: Engineerings, Physics, Chemistry, Mathematics, Statistics, Geosciences and Computation Sciences. To establish the public inscription of knowledge and its preservation; To publish results of research comprising ideas and new scientific suggestions; To publicize worldwide information and knowledge produced by the scientific community; To speech the process of scientific communication in Technology.