Assessment of the empirical methods for the development of the synthetic unit
hydrograph: a case study of a semi-arid river basin
Mohamedmaroof P. Shaikh
*
, Sanjaykumar M. Yadav and Vivek L. Manekar
Civil Engineering Department, Sardar Vallabhbhai National Institute of Technology, Surat, Gujarat, India
*Corresponding author. E-mail: shaikhmaroof034@gmail.com
MPS, 0000-0002-5566-538X
ABSTRACT
This study aims to assess various empirical synthetic unit hydrograph (SUH) methods and find the best method. Ideally, each
river should have a definite rain gauge station (RGS) to get sufficient rainfall data that is available for carrying out meaningful
analysis. The provisions of Indian Standard (IS) 4987:1994 determined the optimum number of RGS. In the absence of RGS,
the SUH is recommended. SUHs have been developed using various methods such as Snyder’s, Taylor and Schwarz, Soil Con-
servation Service, Mitchell’s and Central Water Commission (CWC). In the present study, the Rel River Basin (RRB) is considered
as the study area which has two existing RGS. IS 4987:1994 suggested that four RGS are required for more reliable rainfall data.
Various efficiency criteria such as Correlation Coefficient, Pearson Coefficient, Nash Sutcliffe Efficiency, Index of Agreement,
Normalized Root Mean Square Error, Mean Absolute Error, Root Mean Square Error and Kling-Gupta Efficiency have been
used to compare SUH methods. The ranking of SUH methods was reported based on the compound factor (CF) through effi-
ciency criteria. The 1.125 CF was observed as the minimum for the CWC method and recommended for determining peak
discharge and timing for the study area.
Key words: compound factor, multiple criteria decisions making, optimum number of rain gauge stations, synthetic unit hydro-
graph, ungauged basin
HIGHLIGHTS
• An optimum number of RGS has been examined at the initial level of the study.
• Various empirical methods of SUH have been evaluated.
• Numerous efficiency criteria have been used to compare different SUH methods.
• The compound factor (as an MCDM technique) has been used to find the best SUH method, which is a new concept in SUH.
INTRODUCTION
Rainfall is one of the most essential and complex hydrological modelling parameters (Mishra & Singh 2010).
After Bangladesh, India is an another important country frequently affected by floods (Gupta et al. 2003).
12.5% of India’s geographical area is prone to flooding (Patel & Dholakia 2010). Due to this large area of sub-
mergence in India, flood analysis has become an essential feature (Kumara & Mehta 2020; Mehta et al. 2020).
Rainfall measurement for any basin is the primary requirement for flood analysis (Marchi et al. 2010). RGS
must be distributed equally in the basin to achieve reliable results (Berne et al. 2004). The installed RGS in
the basin should be adequate to measure the rainfall. If the RGS is higher, the economy will be affected, and
if the RGS is lower, the results will be unreliable (Buytaert et al. 2006).
In the ungauged and semi-gauged basins, flood estimates and predictions are among the significant issues
resulting from heavy rainfall over the basin. There are many approaches in existence to the assessment of
floods (Shaikh et al. 2018). Few approaches are based on statistics, while others based on the characteristics
of the basin are designed to meet this objective. The Unit Hydrograph (UH) concept has been implemented in
the runoff estimation for the last four decades. Sherman (1932) was the originator of the UH theory. UH is
defined as a surface runoff hydrograph in a given basin due to effective rainfall for the unit duration.
This is an Open Access article distributed under the terms of the Creative Commons Attribution Licence (CC BY-NC-ND 4.0), which permits
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© 2021 The Authors Water Practice & Technology Vol 00 No 0, 1 doi: 10.2166/wpt.2021.117
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