• Title/Summary/Keyword: Sherman type equation

Search Result 2, Processing Time 0.013 seconds

The Time of Concentration Considering the Rainfall Intensity (강우강도를 고려한 도달시간 산정식)

  • Yoo, Dong-Hoon;Kim, Jong-Hee;Lee, Min-Ho;Lee, Sang-Ho
    • Journal of Korea Water Resources Association
    • /
    • v.44 no.7
    • /
    • pp.591-599
    • /
    • 2011
  • The rainfall intensity is a very essential factor which must be considered for the estimation of the time of concentration. The rainfall intensity, however, is not fully considered for the estimation of the time of concentration due to the complexity of the equation of rainfall intensity. To increase accuracy of the time of concentration, the rainfall intensity and return period were included in the derivation of the time of concentration equations in this study. The equation of rainfall intensity is Sherman type and the regional coefficients were estimated from the rainfall intensity readings on the probability rainfall maps published by Ministry of Construction and Transportation. For simple calculation of rainfall intensities, the contour maps were drawn that expresses coefficients of the Sherman type equation. By substituting the Sherman type equation of rainfall intensity in the equation of the time of concentration, a relatively simple equation with no repeated calculation has been derived. From the study results, in order to include the influence of the rainfall intensity for the estimation of the time of concentration, it is highly recommended that the Sherman type equation of rainfall intensity be used. When one knows a location in Korea and a return period, he can estimate the coefficients of the rainfall intensity equation and calculate the time of concentration considering the rainfall intensity.

Determination of optimal order for the full-logged I-D-F polynomial equation and significance test of regression coefficients (전대수 다항식형 확률강우강도식의 최적차수 결정 및 회귀계수에 대한 유의성 검정)

  • Park, Jin Hee;Lee, Jae Joon
    • Journal of Korea Water Resources Association
    • /
    • v.55 no.10
    • /
    • pp.775-784
    • /
    • 2022
  • In this study, to determine the optimal order of the full-logged I-D-F polynomial equation, which is mainly used to calculate the probable rainfall over a temporal rainfall duration, the probable rainfall was calculated and the regression coefficients of the full-logged I-D-F polynomial equation was estimated. The optimal variable of the polynomial equation for each station was selected using a stepwise selection method, and statistical significance tests were performed through ANOVA. Using these results, the statistically appropriately calculated rainfall intensity equation for each station was presented. As a result of analyzing the variable selection outputs of the full-logged I-D-F polynomial equation at 9 stations in Gyeongbuk, the 1st to 3rd order equations at 6 stations and the incomplete 3rd order at 1 station were determined as the optimal equations. Since the 1st order equation is similar to the Sherman type equation and the 2nd order one is similar to the general type equation, it was presented as a unified form of rainfall intensity equation for convenience of use by increasing the number of independent variables. Therefore, it is judged that there is no statistical problem in considering only the 3rd order polynomial regression equation for the full-logged I-D-F.