Universal Power Law for Relationship between Rainfall Kinetic Energy and Rainfall Intensity
Universal Power Law for Relationship between Rainfall Kinetic Energy and Rainfall Intensity
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DOI：
10.1155/2016/2494681
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发表时间：
2016-01-01
影响因子：
2.9
通讯作者：
Choi, Byoung Koo
中科院分区：
文献类型：
--
作者：
Shin, Seung Sook;Park, Sang Deog;Choi, Byoung Koo
使用降雨强度作为自变量，降雨动能与线性、指数、对数和幂律函数相关。幂律是用于关联降雨动能和降雨强度的最合适的数学表达式。在评估降雨动能时，经验幂律比其他函数表现出更大的偏差。本研究基于降雨幂理论，在降雨强度恒定时，雨滴尺寸均匀分布的理想假设下，提出了降雨动能与降雨强度之间的普适幂律。所提出的幂律的指数为 11/9，根据现有幂律关系的经验方程估计系数为 10.3。与 USLE、RUSLE、EUROSEM 和 SEMMA 等土壤侵蚀模型中使用的指数函数和对数函数计算的平均值相比，通过普适幂律计算的降雨动能显示出 >95% 的一致性。
Rainfall kinetic energy has been linked to linear, exponential, logarithmic, and power-law functions using rainfall intensity as an independent variable. The power law is the most suitable mathematical expression used to relate rainfall kinetic energy and rainfall intensity. In evaluating the rainfall kinetic energy, the empirical power laws have shown a larger deviation than other functions. In this study, universal power law between rainfall kinetic energy and rainfall intensity was proposed based on the rainfall power theory under an ideal assumption that drop-size is uniformly distributed in constant rainfall intensity. An exponent of the proposed power law was 11/9 and coefficient was estimated at 10.3 from the empirical equations of the existing power-law relation. The rainfall kinetic energy calculated by universal power law showed >95% concordance rate in comparison to the average values calculated from exponential and logarithmic functions used in soil erosion model such as USLE, RUSLE, EUROSEM, and SEMMA and