2016
DOI: 10.1155/2016/2494681
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Universal Power Law for Relationship between Rainfall Kinetic Energy and Rainfall Intensity

Abstract: 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 rai… Show more

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Cited by 22 publications
(12 citation statements)
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“…Grounds without canopy cover are affected by the raindrops falling directly onto the bare soil (direct throughfall). The kinetic energy density of direct throughfall (U DT ; J m −2 mm −1 ) is estimated from the universal power law equation suggested by Shin et al [45] for a given rainfall intensity (RI; mm h −1 ):…”
Section: Sediment Delivery To Surface Runoffmentioning
confidence: 99%
“…Grounds without canopy cover are affected by the raindrops falling directly onto the bare soil (direct throughfall). The kinetic energy density of direct throughfall (U DT ; J m −2 mm −1 ) is estimated from the universal power law equation suggested by Shin et al [45] for a given rainfall intensity (RI; mm h −1 ):…”
Section: Sediment Delivery To Surface Runoffmentioning
confidence: 99%
“…To estimate the combined effect of rainfall duration and intensity on the soil surface (i.e., the destruction of clods and particle displacement), cumulative kinetic energy was chosen as an indicator. To estimate the kinetic energy KE p (J·m −2 ) applied during each measurement phase, time-specific rainfall kinetic energy KE t (J·m −2 ·h −1 ) was first estimated using the universal power law proposed by [ 26 ], for each 5 min measuring time-step. KE p was then estimated as the sum of KE t for each measurement time step during a phase.…”
Section: Methodsmentioning
confidence: 99%
“…Several models of KE-I relationships including linear [3,4], exponential [5][6][7][8], logarithmic [9,10] and power law [11][12][13][14] have been found to fit the empirical data the best. The large variation in the KE-I relationships established in the literature is caused by the use of different measurement methods, limited sampling, errors introduced during interpretation of data and rainfall patterns [15].…”
Section: Introductionmentioning
confidence: 99%