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Introduction
A key parameter in designing reservoirs for water supply is the
safe (or frm) yield, the maximum quantity of water that can be
assured with some identifed degree of confdence during a critical
period. For example, the assured volume of water available to
domestic users during low summer fows is considered frm yield.
Determining the frm yield required to meet water supply objectives at
a particular level of confdence depends upon the volume and timing
of supply and demand. It is imperative to note that varying, hydro-
meteorological dynamics leads to variation in key reservoir variables
like the infow, storage and outfow; because of this water managers
face the challenge of making available adequate quantities of water
for drinking, agricultural and others vis-a-vis the geometrically
increasing population pressure and socio-economic development,
increase the needs and demands for particular water fows.
1
The role
of water-storage reservoirs, therefore, is to impound water during
periods of higher fows, thus preventing food disasters, and then
permit gradual release of water during periods of lower fows.
According to Jose
2
the reservoir yield, denoted by Y, is the amount
of water to be released whenever there is availability. The reservoir
release at time t (Dt) is the volume effectivelyliberated from the
reservoir to meet the demand. It is less than or equal to the yield (Y)
and depends on the reservoir content. When the reservoir contents
exceed the reservoir capacity, there is uncontrolled outfow, or spill.
The outfow is the summation of all water that leaves the reservoir
as release, evaporation or spill. Yield is used to characterise the
capacity of a water resource to serve as a long-term water supply. It is
a fundamental water-supply planning concept, and an understanding
of its attributes is critical for those who participate in water-supply
issues. In the context of surface-water resources, yield is often
synonymous with safe yield or frm yield. Safe yield or frm yield in
the context of water reservoirs is defned as the maximum quantity
of water which can be guaranteed during a critical dry period.
3
Surface-water yield depends primarily on infows and storage. In the
case of an unregulated stream, the frm yield is often conceptualised
as the minimum historical fow during a specifed time period. It
is important that yield analyses consider normal seasonal demand
patterns; how demand varies during periods of drought in response to
the drought itself and to applicable conservation measures; and that
each drought has an individual signature defning the onset, critical
period, duration, and precipitation/runoff variables, which may vary
signifcantly among different drought events.
Drought and shortage of fresh water is currently an important
limitation of water resources development. While in last decades a
great deal of effort is increasingly diverted towards the use of poor
quality water, the issues related to the storage and management of
fresh water have not yet been properly addressed. The regulation of
stochastically fuctuating fows of a natural stream by the conservation
storage of a reservoir is a classical problem, known for thousands
of years. Many studies have been performed with many different
methods and different results for the relationship between storage
capacity and target draft, which is defned as frm yield for a failure-
free operation over a fxed service period.
Int J Hydro. 2020;4(3):100‒104. 100
©2020 Mamman et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which
permits unrestricted use, distribution, and build upon your work non-commercially.
Application of multi yield analysis approaches to
reservoir system
Volume 4 Issue 3 - 2020
Mohammed Jiya Mamman,
1
Otache Y Matins
2
1
Department of Agricultural Technology, Niger State College of
Agriculture Mokwa, Nigeria
2
Department of Agricultural and Bio- resource Engineering,
Federal University of Technology Minna, Niger State, Nigeria
Correspondence: Mohammed Jiya Mamman, Department
of Agricultural Technology, Niger State College of Agriculture
Mokwa, Niger State, Nigeria, Email
Received: April 20, 2020 | Published: May 25, 2020
Abstract
Yield is used to characterise the capacity of a water resource. It is a fundamental water-
supply planning concept, and an understanding of its attributes is critical for those who
participate in water-supply issues. This study tends to carry out frm yield analysis by
employing both the accumulated difference method (ADM) and reverse chronology method
(RCM) in order to ascertain the minimum storage capacity required to sustain the required
yield of kainji reservoir system without interruption. In applying (ADM), the infows were
accumulated and the difference calculated. The minimum infow within the year of record
was determined to be the frm yield. The yield of 30x109m
3
was hypothetically chosen
to determine the minimum capacity to sustain it without interruption during the period
under record. Similarly the frm yield analysis was also done by employing the method of
reverse chronology (RCM) to confrm the result in the accumulated difference method. This
method is based on the premise that what is the minimum volume that has to be in storage
at the end of the previous year plus the infow can meet the demand during the current year.
This was carried out by starting with the last year of the record and working back to the
frst year and the difference between the infow and the required yield was determined. The
shortages were then observed form the difference obtained; the maximum shortage was
then selected as the required capacity.The frm yield was determined to be 22.7283×109m
3
.
The minimum capacity required to sustain a yield of 30×109m
3
per annum (the average
annual demand) without interruption during the period under record was determined to be
7.3431×109m
3
. The interaction between the reservoir elements were signifcant considering
the correlation matrix applied.
Keywords: reservoir capacity, frm yield, infow, accumulated, chronology, storage
International Journal of Hydrology
Research Article
Open Access