Research Article
Effectof Unit Hydrographs and Rainfall Hyetographs on Critical
Rainfall Estimates of Flash Flood
Fanzhe Kong , Wei Huang, Zhilin Wang, and Xiaomeng Song
School of Resources and Geosciences, China University of Mining and Technology, Xuzhou 221116, China
Correspondence should be addressed to Fanzhe Kong; kongfz3@126.com
Received 13 November 2019; Revised 27 January 2020; Accepted 23 May 2020; Published 10 June 2020
Academic Editor: Stefano Federico
Copyright © 2020 Fanzhe Kong et al. is is an open access article distributed under the Creative Commons Attribution License,
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
To obtain critical rainfall (CR) estimates similar to the rainfall value that causes minor basin outlet flooding, and to reduce the flash
flood warning missed/false alarm rate, the effect of unit hydrographs (UHs) and rainfall hyetographs on computed threshold
rainfall (TR) values was investigated. e Tanjia River basin which is a headwater subbasin of the Greater Huai River basin in
China was selected as study basin. Xin’anjiang Model, with subbasins as computation units, was constructed, and time-variant
distributed unit hydrographs (TVUHs) were used to route the channel network concentration. Calibrated Xin’anjiang Model was
employed to derive the TVUHs and to obtain the maximum critical rainfall duration (D
max
) of the study basin. Initial soil moisture
condition was represented by the antecedent precipitation index (Pa). Rainfall hyetographs characterized by linearly increasing,
linearly decreasing, and uniform hyetographs were used. Different combinations of the three hyetographs and UHs including
TVUHs and time-invariant unit hydrographs (TIVUHs) were utilized as input to the calibrated Xin’anjiang Model to compute the
relationships between TR and Pa (TR-Pa curves) by using trial and error methodology. e computed TR-Pa curves reveal that,
for given Pa and UH, the TR corresponding to linearly increasing hyetograph is the minimum one. So, the linearly increasing
hyetograph is the optimum hyetograph type for estimating CR. In the linearly increasing hyetograph context, a comparison was
performed between TR-Pa curves computed from different UHs. e results show that TR values for different TIVUHs are
significantly different and the TR-Pa curve gradient of TVUHs is lower than that of TIVUHs. It is observed that CR corresponds to
the combination of linearly increasing hyetograph and TVUHs. e relationship between CR and Pa (CR-Pa curves) and that
between CR and duration (D) (CR-D curves) were computed. Warnings for 12 historical flood events were performed. Warning
results show that the success rate was 91.67% and that the critical success index (CSI) was 0.91. It is concluded that the
combination of linearly increasing hyetograph and TVUHs can provide the CR estimate similar to the minimum rainfall value
necessary to cause flash flooding.
1. Introduction
Flooding is the worst weather-related hazard, causing loss of
life and excessive property damage [1–3]. In general, flash
floods are characterized by their rapid onset, leaving very
limited effective response opportunities [3–5]. Flood damage
mitigation is provided through a variety of structural and
nonstructural methods. A significant nonstructural method
is the operation of flood warning systems [1].
Currently, three criteria are used for an expected
flooding determination: critical discharge, critical runoff,
and critical rainfall (CR). Critical rainfall criterion is used by
most flood warning systems [3, 6–9].
Given an initial soil moisture condition and a rainfall
duration (D), different hyetographs show the diverse areal
rainfall volumes over the study basin necessary to cause
minor basin outlet flooding which is defined as threshold
rainfall (TR), and the minimum of these TR values is re-
ferred to as CR. at is to say, TR is a function of initial soil
moisture condition, rainfall duration, and the form of
rainfall hyetograph, but CR is a function of only initial soil
moisture condition and rainfall duration.
By comparing real-time observed or predicted rainfall
volume of a given duration to the CR value, the CR-based
flood warning systems decide whether to issue a warning.
For early warning, the consequences of under- or
Hindawi
Advances in Meteorology
Volume 2020, Article ID 2801963, 15 pages
https://doi.org/10.1155/2020/2801963