TY - JOUR
A2 - He, Hongming
AU - Shin, Seung Sook
AU - Park, Sang Deog
AU - Choi, Byoung Koo
PY - 2016
DA - 2015/12/24
TI - Universal Power Law for Relationship between Rainfall Kinetic Energy and Rainfall Intensity
SP - 2494681
VL - 2016
AB - 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 <5% relative difference as compared to the average rainfall kinetic energies calculated by other empirical functions. Therefore, it is expected that power law of ideal assumption may be utilized as a universal power law in evaluating rainfall kinetic energy.
SN - 1687-9309
UR - https://doi.org/10.1155/2016/2494681
DO - 10.1155/2016/2494681
JF - Advances in Meteorology
PB - Hindawi Publishing Corporation
KW -
ER -