daniel.chuquin@espoch.edu.ec
Quality analysis of atmospheric reservoirs in networks with intermittent service
Análisis de calidad de depósitos atmosféricos en redes con servicio intermitente
Daniel Antonio Chuquín Vasco
Chemical Engineer. Escuela Superior Politécnica de
Chimborazo (ESPOCH).
daniel.chuquin@espoch.edu.ec
https://orcid.org/0000-0001-9637-3140
Nelson Santiago Chuquín Vasco
Mechanical Engineer, Escuela Superior Politécnica de
Chimborazo (ESPOCH).
nelson.chuquin@espoch.edu.ec
https://orcid.org/0000-0001-8998-1156
Juan Pablo Chuquín Vasco
Mechanical Engineer, Escuela Superior Politécnica de
Chimborazo (ESPOCH).
juan.chuquin@espoch.edu.ec
https://orcid.org/0000-0001-6680-507X
Gloria Elizabeth Miño Cascante
PhD in Economics. Escuela Superior Politécnica de
Chimborazo (ESPOCH).
gmino@espoch.edu.ec
https://orcid.org/0000-0003-2896-3987
Abstract
In Latin America, the installation of atmospheric reservoirs is frequent due to various policies related
to water availability and management. This type of infrastructure, in addition to modifying the
hydraulic behavior of the network, significantly alters the quality of the water, conditioning its
microbiological characteristics and exposing the user to health problems. The hydraulic
characterization of the reservoirs has been widely approached from the point of view of the way in
which their filling/emptying cycles are reproduced, however, they have not taken into account several
factors that modify the concentrations of disinfectant in the reservoirs, either promoting a post
improvement or an impoverishment of this, in terms of quality. In the present work, the Epanet
Toolkit model is applied to analyze the loss of water quality in the tanks as a function of the chlorine
concentration conditions available in the main network and based on different intradomiciliary
hydraulic peculiarities such as the change in the demand pattern, the variation of the regulation
volume, the operation of the valve that controls the level in the cisterns, among others.
http://centrosuragraria.com/index.php/revista, Published by: Edwards Deming Institute,
Quito - Ecuador, July - September vol. 1. Num. 14. 2022, This work is licensed under a
Creative Commons License, Attribution-NonCommercial-ShareAlike 4.0 International.
https://creativecommons.org/licenses/by-nc-sa/4.0/deed.es
Received January 14, 2022
Approved: June 12, 2022
108
Key words: atmospheric reservoirs, water quality, intermittent networks.
Resumen
En América Latina es frecuente por diversas políticas referentes a la disponibilidad y gestión del agua,
la instalación de depósitos atmosféricos. Este tipo de infraestructuras, además de modificar el
comportamiento hidráulico de la red, alteran significativamente la calidad del agua condicionado sus
características microbiológicas y exponiendo al usuario a problemas de salubridad. La caracterización
hidráulica de los depósitos ha sido ampliamente abordada desde el punto de vista de la forma en la
cual se reproducen sus ciclos de llenado/vaciado, sin embargo, no han tenido en cuenta diversos
factores que modifican las concentraciones de desinfectante en los depósitos, ya sea que promuevan
un post mejoramiento o un empobrecimiento de esta, en términos de calidad. En el presente trabajo, se
desarrolla aplica el modelo del Toolkit de Epanet para analizar la pérdida de calidad del agua en los
depósitos en función de las condiciones de concentración de cloro disponible en la red principal y en
base a distintas peculiaridades hidráulicas intradomiciliarias como son el cambio en el patrón de
demandas, la variación del volumen de regulación, la forma de operación de la válvula que controla el
nivel en las cisternas, entre otras.
Palabras clave: depósitos atmosféricos, calidad del agua, redes intermitentes
Introduction
Atmospheric reservoirs are one of the main infrastructures present in networks with
intermittent service, their use becomes frequent in developing countries, as is the case in
Latin America, where in several areas, due to their topography, availability of the fluid or
lack of economic resources, having water 24 hours a day is practically unsustainable. Based
on available statistics from the Pan American Health Organization (PAHO) and the World
Health Organization (WHO), in 2010 and 2011 Mexico and Brazil respectively reported that
40% of the population at some time of the year suffered temporary and/or occasional cuts in
supply (Nelson et al., 2017).
In conditions where discontinuity of service is common, the use of private reservoirs is
intended to store water during periods of availability of the resource to compensate for
shortages when it is not available (Cobacho et al., 2008; Criminisi et al., 2009). For this
reason, users store large volumes of water in reservoirs (regulated by proportional float
valves) that are usually oversized, resulting in the system becoming dependent on the water
head and not on the demand at each node (De Marchis et al., 2010).
Drinking water must meet a minimum quality requirement (Kruger E, 2001), however, in the
final stage of distribution the maintenance of the residual disinfectant concentration is
complex, since it depends, among other factors, on: a) parameters that act as a source or sink
of disinfectant, b) water temperature, c) material and state of conservation of the pipes, d)
Chuquín et al 2022
July - September vol. 1. Num. 14 2022
residence time in the network. In this sense, the problem becomes uncontrollable for the
management company when the water enters the tanks and/or reservoirs. Since storage for
prolonged periods increases the residence time of the water in the network, the degradation of
the disinfectant therefore decreases the residual concentration available in the medium for the
inactivation of pathogenic microorganisms. In the case of chlorine disinfection, WHO (2004)
recommends that the concentration of chlorine to achieve good disinfection performance
should be at least 0.5 mg Cl/L after a contact time of 30 minutes and at pH less than 8.
The hydraulic behavior of reservoirs has been addressed in several investigations (De
Marchis et al., 2010, 2011, 2013; Fontanazza et al., 2007; Puleo & Milici, 2015). The works
were based on the study of the inequitable distribution of water in the network from different
scenarios of water scarcity, and on the determination of the errors of the metering curves of
the meters from the evaluation of the apparent losses due to the damping effect introduced by
the reservoirs in the pattern of demands and in the underestimation of the flow rates entering
through the meter.
Now, although there is a conceptualized approach to the parameters involved in the filling
process of the reservoirs. The complexity, the change in the modulation curve of the demand
and the increase in the residence time of the water make it difficult to control the quality of
the fluid consumed by the users. Regardless of the geometry and type of operation of the
reservoirs, they are not able to preserve water quality (Basile et al., 2009).
At present, few studies have characterized the hydraulic and water quality conditions in
intermittent supply systems, despite the impact and the risk of contamination that they
introduce in the environment (Erickson et al., 2017). In this aspect, few are the studies that
have investigated the loss of quality in residential atmospheric tanks through models, where
the research conducted by Mohamed & Gad, (2011) prevails, in which through a simulation
in an extended period of 48 hours for a 12-story building, applying the EPANET quality
model developed by (Clark et al., 1995), analyzed the influence of the size of the tanks and
the change in the renewal volume, in the degradation of chlorine and the age of the water.
Similarly, Lemke & DeBoer (2012) developed a model using CompTank software to study
chlorine degradation as a function of filling/emptying cycles, influent concentration and
degradation coefficients.
In contrast, other existing studies focus on monitoring campaigns and laboratory analyses to
study: the influence of temperature and storage time on the increase of microbial activity
(Evison & Sunna, 2001); the influence of reservoirs on the variation of quality parameters
before and after storage (Jensen et al., 2002); the influence of reservoir construction materials
and respective maintenance on the loss of physical, chemical and microbiological water
quality (Schafer & Mihelcic, 2012); the effects of intermittent service on water storage
reservoirs in Tamale(Ghana) (Alexandra & Renwick, 2013); the type of mixing and demand
patterns in laboratory-scale elevated reservoirs by comparing results using computational
techniques (Hernandez-Lopez et al., 2016); the quality of tap water, private tanks and filtered
water dispensers by analyzing residual free chlorine, color, turbidity, pH, conductivity,
pathogens(E.Choli), total solids(Kordach et al., 2018).
110
This work aims to analyze the influence of the water quality of the main network and to
estimate a concentration above which water storage does not alter its final quality (to such an
extent that it is unfit for consumption). Subsequently, to determine the influence of the float
valve (proportional, all/nothing) that controls the inflow to the subway tank (cistern) in the
conservation of the water quality and finally to analyze the influence of the tank volume on
the water quality and finally by means of an analysis the factor that most alters the
characteristics of the water quality will be determined.
Materials and methods
A. Case study
The sector of the exemplified network used was adapted from the drinking water supply
network of Riobamba-Ecuador (Figure 1), where 55% of the population has a continuous 18-
24 hour service, 38% rationalized in 3 schedules, 5% for 12 hours and 2% by tankers.
The modeling scenario was adapted from a "Bonilla Abarca" sector of the Savoy network. A
total of 10 households were analyzed (Figure 2.3) to examine the negative effects of water
storage in the reservoirs.
Figure 1. Geographic Zone - Schematization of the Savoy Network
Source: Authors,2022
Chuquín et al 2022
July - September vol. 1. Num. 14 2022
Different situations were analyzed:
1) How the chlorine [Cl] concentration evolves as a function of the quality of the mains.
2) The influence of the float valve (proportional, all/nothing) controlling the inflow to the
subway reservoir on the final water quality.
3) The influence of reservoir volume on final water quality.
Based on the preliminary analysis of the area, it was determined that the common
characteristic in the hydraulic design of the domiciles is the presence of both subway (cisterns)
and elevated atmospheric reservoirs (Figure 3), typical of systems with intermittent supply
(Mastaller & Klingel, 2017).
Figure 2. Schematic model in EPANET
Figure 3. Hydraulic schematization of the
installations
B. Quality model
Considering mass conservation balances in tanks (Eq.1), and assuming complete mixing in
tanks (Rossman, 2006), chlorine degradation has been quantified from first-order kinetics,
considering the effects of temperature as a determining factor in the variation of the chlorine
degradation coefficient (Monteiro et al., 2015), from the Arrhenius equation (Eq.2):
112
C.




D.
(1)

󰇛󰇜
󰇛󰇜󰇛󰇜
(2)
where V tank volume, C chlorine concentration in the medium, C
in
chlorine concentration of
Q
in
, k
T
chlorine degradation constant corrected for temperature, kb
20
degradation constant at
20°C, E
A
chlorine activation energy, R universal gas constant and T the temperature.
C. Water quality standards
The comparative and statistical analyses of the modeling results were performed based on the
NTE INEN 1 108:2006 standard (INEN, 2006) and according to WHO guidelines (WHO,
2011). The Ecuadorian technical standard on drinking water requirements establishes that the
maximum permissible limit of free residual chlorine in the network should be in the range of
0.3 - 1.5 mg/L, while the WHO recommends that free chlorine should be at least 0.2 mg/L at
the extremities of the network and 0.5 - 1 mg/L after at least 30 minutes of contact for
chlorination to be effective.
D. Statistical analysis
The analyses of the results were developed with StatGraphics software (STATPOINT
TECHNOLOGIES, 2014) with a confidence interval of 95%, in which statistical tests were
performed for the study of the concentration and influence of the factors that modify water
quality.
E. Application of the method
The following hydraulic and quality characteristics were considered as normal operating
conditions (N.C.):
-Tank volume = 2000 L, controlled by proportional valve.
-Elevated tank volume = 1000 L.
-Free residual chlorine from the mains (0.5 mg Cl/L).
Chuquín et al 2022
July - September vol. 1. Num. 14 2022
-Pumping stations (0.5 - 3 HP) on site, operated with switches depending on the levels
of the elevated reservoirs.
-Initial quality of tanks and cisterns = 0.56 mg Cl/L. In situ chlorination is not
considered.
-Base demand = 8.46 L/min.
The study of the evolution of chlorine in the tanks was carried out for a simulation period of
336 hours (14 days) on a minute scale.
Result
A. Analysis of the influence of the chlorine concentration of the main network.
Figure 4 is the result of 4 scenarios that exemplify the evolution of chlorine in private
reservoirs as a function of the existing quality of the network (1.5;1;0.5;0.2 mg/L).
In the best case, as specified by WHO, the minimum residual chlorine level that ensures safe
drinking water conditions is 0.2 mg/L, and in the most favorable case a typical free residual
chlorine concentration in the areas close to the source of 1.5 mg Cl/L.
Figure 4. a) Evolution of chlorine in the reservoirs as a function of the quality of the main
network; b) Range of variation of [Cl] in the reservoirs.
Source: Authors,2022
As it is evident that the incidence of [Cl] in the network is a transcendental factor in the final
water quality, the trend observed is a gradual decrease in the concentration that tends to
improve when the pumping stations (intradomiciliary) come into operation, renewing the
114
water in the reservoirs. This is notorious in cases where the [Cl] in the network is higher than
0.5 mg/L (Figure 4a) where the trend is the increase and subsequent decrease of the
concentration in the tanks almost proportional, indicating that the concentration available in
the network is higher than that in the tanks (Scenario 3 and 4: 1.0 and 1.5 mg Cl/L) favoring
its increase and therefore ensuring a minimum concentration within the range of 0.2 - 0.5 mg
Cl/L. The opposite, happens in scenarios 1 and 2 (0.2 and 0.5 mg Cl/L) where minimum [Cl]
variation ranges of (0.05 - 1) and (0.1 - 0.21 mg Cl/L) respectively are observed (Figure 4b).
In these 2(two) scenarios, despite the availability of continuous pumping to the elevated
reservoir there is no recovery of considerable concentration levels, indicating that the water
available from the network ([Cl] = 0.2 mg/L) does not guarantee a mixing, between the water
stored in the reservoir and that available for pumping, which greatly favors the increase of
[Cl]. These illustrated scenarios demonstrate, on the one hand, the advantage of having water
of adequate quality in areas close to the headwater reservoir, while, on the other hand,
demonstrating the vulnerability to developing quality problems in areas where the
concentration of chlorine available in the network does not guarantee a [Cl] higher than 0.2
mg/L once stored in the private reservoirs. Unlike strategically located areas, where the
quality of the stored water remains in good condition for about 240 hours (Scenario 3 and 4),
the problem is evident for users located several kilometers from the main reservoir after the
third day of storage (80 hours). Figure 5 shows the average and maximum percentages of
concentration reduction in the reservoirs. As can be seen, there is a linear reduction trend in
the degradation percentage as the [Cl] of the distribution network increases.
Figure 5. Average and maximum percentages of [Cl] degradation in the reservoirs as a
function of the quality of the distribution network.
Chuquín et al 2022
July - September vol. 1. Num. 14 2022
B. Analysis of the type of valve (proportional, T/N) controlling the tank level.
In this analysis based on the simulation it is specified that during the first hours of the
simulation the T/N valve results in low chlorine concentrations. In cases where the water
level in the tank (controlled by the T/N valve) does not allow the admission of incoming flow,
there will be no mixing with the water coming from the network during the hours that the
minimum level is not reached for the valve to open and therefore the water suffers a
degradation process without the possibility of renewal until the first filling cycle (Figure 6c).
However, there is a turning point where the evolution of chlorine in the system follows a
clear trend once the model has stabilized from the initial simulation conditions and an
increase in the concentration levels in the tanks is observed, which are even better in contrast
to what happens when proportional float valves are used for level control.
A priori, proportional valves allow a constant renewal of the water in the tank that is pumped
to the upper reservoir, however, in periods where the demand is low the increase in [Cl] is not
relevant unlike what happens in the T/N valves. Based on Eq.1 the left term (dc/dt) is
proportional to the flow rate admitted by the valve and consequently increases when the term
(Q_in C_in) is higher. Therefore, when the T/N valve is completely open, it allows the entry
of larger volumes of water that considerably improve the concentration in the tank and
subsequently by pumping in the upper tanks. This is evident in Figure 6b, where after 60
hours of storage (stabilization of the model), the water quality in the tanks improves
considerably and follows a clear trend of increasing and decreasing depending on the
start/stop cycles of the pumping system.
In addition, as shown in Figure 6a, independent of the [Cl] in the main network, the
fluctuation ranges of chlorine concentrations in the tanks improve when the water levels in
the tank are controlled with T/N float valves, thus minimizing the problem of water quality
loss. It is also important to note that although the chlorine concentration increases to high
levels (1 mg/L, Figure 6c) with the use of proportional valves, the minimum concentration
levels are not recovered because the final concentration (C) of the dc/dt term in Eq.1
increases by (


) but at the same time decreases by (kb*C), the latter term being more
decisive with respect to the latter because the inlet flow is relatively small and there is no
considerable increase and on the other hand the degradation reaction rate increases (due to the
increase in available concentration) promoting the gradual disappearance of chlorine. The
opposite happens with T/N valves, where, although the reaction rate is maintained with
respect to the previous case, the input flows are high and therefore the term


has a
greater impact than degradation, thus increasing concentration levels.
116
Figure 6. Range of variation of [Cl] as a function of the type of valve controlling the water
level and the quality of the network; b, c) Evolution of [Cl] for each type of valve when the
quality of the network is 0.5 mg/L and 1.0 respectively.
Source: Authors,2022
C. Analysis of the influence of the type of the volume of the reservoir
The increase in the total volume of the tank increases the residence time of the water in the
network and indirectly, according to Eq.1, the concentration of chlorine due to the effects of
time increases according to the constant kb (dia
-1
). However, the loss of quality begins to be
evident when there are large variations with respect to the regulation volume which, being
larger, decreases the operating cycles of the pumps and the inflow of water in better quality
conditions to the tank. In other words, quality is conditioned both by the pump start-up cycle
that gives rise to the term (


) of Eq.1, as well as by the degradation kinetics (kb*C).
Consequently, if tank filling and emptying rates and levels of chlorine concentrations at the
tank inlet are low (<0.4 mg/L) there will not be sufficient water turnover to promote recovery
of internal concentration levels. Therefore, maintaining the same demand pattern, oversizing
a tank can significantly affect water quality. Figure 7 shows the evolution curve for different
volumes, the concentration decreases in poorly sized tanks at higher rates to such an extent
that, as can be seen, levels below 0.1 mg/L (V=2500 L) are reached.
Chuquín et al 2022
July - September vol. 1. Num. 14 2022
Figure 7. a, b) Evolution and range of variation of [Cl] as a function of reservoir volume.
Source: Authors,2022
In effect, reservoirs that store water for long periods of time when there are very low
consumption patterns minimize the turnover of water in the reservoirs and therefore the
concentration of free residual chlorine available, increasing the risk of contamination. The [Cl]
and average degradation percentages are detailed in Table 1, and as can be seen in Figure 7b,
the average concentration in the tanks decreases linearly as the tank volume increases.
Table 1. Average concentration of chlorine in tanks of different volume.
Volume(L
)
[Cl]
Deposit
Standard
Deviatio
n
Maximu
m
Average %Degradat
ion
Maximum %Degradat
ion
250 L
0.209
0.103
0.56
62.75%
80.37%
500 L
0.204
0.107
0.56
63.53%
86.52%
700 L
0.194
0.103
0.56
65.41%
83.94%
1100 L
0.183
0.112
0.56
67.26%
89.02%
2500 L
0.160
0.117
0.56
71.41%
93.23%
D. Analysis of the most determining factor
As developed in the previous analysis, there are different factors that modify the
characteristics of the quality of the water available to users, the most detrimental being the
oversizing of the tanks for a given base demand that remains constant over time. The increase
of residence times in the network and the decrease of cycles that renew the volumes of water
in the tanks reduce the possibility of generating mixtures that allow the recovery of chlorine
118
concentration levels, making it difficult to reach minimum levels that guarantee the
innocuousness of microorganisms, giving rise to water contamination, the result of which is
the lack of potabilization and the appearance of problems in the health of the users.
Table 2 summarizes the factors considered in the study by means of a sample comparison
analysis. It details the mean concentrations, standard deviations, maximum and minimum
limits of concentrations, percentages of quality loss.
As mentioned above and as confirmed in Table 2, the factor that promotes greater chlorine
degradation is the increase in the volume capacity of the tank (F3), with respect to normal
operating conditions (V=1000 L), the average degradation percentage increases by 4.24%,
while the factor that contributes to guaranteeing the final water quality is the increase in
concentration in the main network (F1), which decreases the degradation percentage with
respect to the N.C. by 9.79%.
The results are corroborated by the percentile analysis (Table 3). When the tank volume (F3)
increases 50% of capacity, 75% of the concentrations are below 0.176 mg Cl/L, which does
not guarantee the minimum concentration recommended by the WHO.
It is also important to note that the type of valve that controls the level of the tanks is an
important factor in the recovery of the concentration levels, when using all/nothing valves
(F2) 50% of the data take values below 0.1886 mg/L, as opposed to the N.C. (proportional
valves) where 50% of the data take values below 0.1348 mg/L.
Table 2. Summary statistics of the factors that modify the [Cl].
FACTOR
QUALITY
Percentage
(%)
Average
Standard
Deviation
Min
Max
%
Reduction
medium
[Cl] %
Reduction
medium
[Cl] %
Reduction
medium
[Cl
Normal
Conditions
(NC)
Mala
72.77%
0.1762
0.1123
0.06
0.56
68.52%
Regular
12.29%
Optimum
14.94%
Total
100.00%
> [Cl] in
the
Network
(F1)
Mala
50.15%
0.2328
0.108
0.093
0.56
58.43%
Regular
24.88%
Optimum
24.97%
Chuquín et al 2022
July - September vol. 1. Num. 14 2022
Total
100.00%
All/Nothing
Valve (F2)
Mala
56.55%
0.215
0.091577
0.1065
0.56
61.51%
Regular
29.08%
Optimum
14.38%
Total
100.00%
> Deposit
Volume
(F3)
Mala
77.22%
0.152
0.1184
0.0466
0.56
72.76%
Regular
9.38%
Optimum
13.40%
Total
100.00%
Note: For comparison F1 (Chlorine concentration was increased with respect to the N.C. by
50%), F2 the proportional valve was changed to T/N valve, F4 (Tank volume was increased
with respect to the N.C. by 50%).
Table 3. Percentile analysis of the factors studied.
Volume(
L)
[Cl]
Depos
it
Standar
d
Deviati
on
Minimu
m
Maximu
m
Average %Degrad
ation
Maximum %Degrad
ation
250 L
0.209
0.103
0.110
0.56
62.75%
80.37%
500 L
0.204
0.107
0.075
0.56
63.53%
86.52%
700 L
0.194
0.103
0.090
0.56
65.41%
83.94%
1100 L
0.183
0.112
0.061
0.56
67.26%
89.02%
2500 L
0.160
0.117
0.038
0.56
71.41%
93.23%
Source: Authors, 2022
Conclusions
This work analyzes the impacts on water quality conditions in elevated reservoirs typical of
distribution networks with intermittent service. The application of the model confirms the
relevant negative effects that the tanks introduce in the water quality, being the main result
the non-compliance with the water potabilization criteria and giving way to possible sanitary
problems in the population. The results of the analysis are shown in the following points:
The users close to the headwater reservoir are the ones that will receive water with the best
quality parameters ([Cl] = 1.5 mg Cl/L), which guarantee that the water passing through the
reservoirs meets the minimum requirements established by the WHO (0.2 mg Cl/L), however,
the [Cl] in the extremities of the network due to its degradation in the system will drop to 0.2
120
- 0.5 mg Cl/L which represents that approximately 75% of the concentrations in the
reservoirs over time will be below 0.21 mg/L. The T/N valves allow the recovery of chlorine
concentration levels in the tanks to a greater extent than the proportional valves. Due to the
volume of water admitted (


), according to the equations governing the variation of
concentration, they allow a greater restitution of the concentration. The average concentration
loss percentage for the T/N and proportional valves is 61.51 and 68.52% respectively. The
loss of water quality begins to be evident when there are large variations with respect to the
regulation volume (tank volume); when the volume is larger, the pump operation cycles
decrease and the entry of water in better quality conditions to the tank decreases.
The factor that most affects the loss of quality is the increase in storage volume. If the volume
increases 50% of its capacity, the loss of concentration increases 4.24%. Future
developments will focus on the incorporation of water quality in private reservoirs in the
modeling of networks with intermittent service where optimization is taken into account in
terms of the relationship between energy efficiency and the costs involved in meeting water
potability criteria.
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