Derivation of Travel Time Based on Diffusive Wave Approximation for the Time-Area Hydrograph Simulation

نویسندگانZakery, M - Saghafian, B - Golian, S - Moramarco, T - Shamsaee, A
نشریهJ. of Hydrologic Engineering, ASCE
ارائه به نام دانشگاهTechnical and Engineering Department, Science and Research Branch Islamic Azad University
شماره صفحات85-91
شماره مجلد17
ضریب تاثیر (IF)1.96
نوع مقالهFull Paper
تاریخ انتشار2012
رتبه نشریهISI
نوع نشریهچاپی
کشور محل چاپایالات متحدهٔ امریکا

چکیده مقاله

Derivation of travel time based on Saint-Venant equations may substantially improve rainfall-runoff routing, particularly in the Clark approach and GIS-based hydrological routing models. Kinematic wave (KW) and diffusive wave (DW) approximations are often applied in lieu of the dynamic wave (DYW) solution to study overland flow regime. In this study, for the first time, travel-time relationships are presented based on DW approximation. In terms of equilibrium time, the DW approximation improved results from 5% up to 15% over the KW approximation. After obtaining the semianalytical solution of the DW travel time, discharge hydrographs over a rectangular plane through the well-known time-area method were derived. Considering the DYW solution as the benchmark, it was found that the time-area approach by adopting the proposed DW wave travel time formulation, provided satisfactory results for 2.5<K0F20<25 and F0>0.1. Using the travel time based on KW approach, the time-area method was found fairly accurate for K0F20>25 and F0>0.1. K0 and F0 are the well-known kinematic wave number and Froude number, respectively. Therefore, it is perceived that as K0F20 decreases, the difference between KW and DW approximations becomes greater.

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