Assessment of Self-Purification Capacity of the Mooi River
Catchment of South Africa
Thabang George Mmutle and Saheed Oke Adeyinka
Department of Civil Engineering, Central University of Technology, President Brand, Bloemfontein, South Africa
Keywords: River Catchment, Self-purification, Dissolved Oxygen, Biochemical Oxygen Demand, Oxygen Deficit,
De-oxygenation, Re-oxygenation, Eutrophication, Water Quality Modelling.
Abstract: Dissolved oxygen is the most essential element in natural water bodies for one of the most important
reasons, namely aquatic life. This content is usually affected by the type and amount of pollution
introduced in natural water bodies. The dissolved oxygen level is usually lowered at any point where a
natural water body such as a river is contaminated (deoxygenation); however, using natural purification
forces, rivers work hard to gain back the amount of oxygen lost in the water due to pollution (re-
oxygenation). This study articulated the self-purification capacity of the Mooi River catchment as a
function of the rate of change of the amount of dissolved oxygen in flowing water to illustrate the
purification strength of a river flow segment between sampling points. This is to subsequently present
the impact of inflowing pollution from different types of adjacent sources and tributary rivers. This was
achieved by conducting measurements of dissolved oxygen and temperature directly from the river,
using an electrolyte dissolved oxygen meter. Respective samples (three-litre samples) were also
collected at every sampling point for a biochemical oxygen demand laboratory analysis taken over five
days. Using the biochemical oxygen demand and oxygen deficit analysis, deoxygenation and re-
oxygenation factors or constants were determined for every flow segment. The mathematical ratio
between the two constants were then used to calculate the self-purification capacity of every segment.
Because the hydraulic dynamics of the river also influence the strength of the river to purify itself, a re-
oxygenation model of hydraulic properties, such as flow velocity hydraulic depth and radius, was
developed and presented by means of a regression analysis. The findings have proven that the river has
the capacity to purify itself along its existing length for both dry and wet seasons. The purification
fluctuations were high during the wet seasons due to the increase in hydraulic flow depth and pollution
by run-off. Oxygen deficiency was very low before the Mooi River confluences with the Vaal River;
therefore, it did not significantly affect the oxygen content of the Vaal River.
1 INTRODUCTION
South africa is listed as one of the most water scarce
countries on the continent (Dube, 2020). To mitigate
this scarcity and implement effective water resource
planning, re-oxygenation coefficient modelling can
be utilised as an integral scientific tool. This model
allows one to predict and monitor pollution loads,
nutrient constituents, and dissolved oxygen recovery
in fresh surface water masses (Ugbebor,
Agunwamba, & amah, 2012). Using a re-
oxygenation coefficient model, this study assesses the
self-purification capacity of the Mooi river catchment
which is situated along the western Gauteng and
North West provinces. This catchment is a vital water
supply for the surrounding population and ecosystem.
The condition of a freshwater mass (ie: a river) at
any point in time, is the result of a balance between
its oxygen resources and the demand made upon them
by the organic polluting matter carried by the stream
(Al-Zboon & Al-Suhaili, 2009). In other words, a
river's capacity to receive and oxidise organic matter
depends upon its oxygen resources. When organic
pollution is discharged into a natural water source,
organic compounds are oxidised by the dissolved
oxygen present in the water.
This process causes a deficiency of dissolved
oxygen (do) in the flowing water and the loss of
oxygen or deoxygenation happens. This deficiency is
typically dismissed by the atmospheric oxygen being
absorbed into the water (re-oxygenation i.e. Gain of
oxygenation). The rate at which the do absorbed into
Mmutle, T. and Adeyinka, S.
Assessment of Self-Purification Capacity of the Mooi River Catchment of South Africa.
DOI: 10.5220/0011913200003536
In Proceedings of the 3rd International Symposium on Water, Ecology and Environment (ISWEE 2022), pages 101-105
ISBN: 978-989-758-639-2; ISSN: 2975-9439
Copyright
c
2023 by SCITEPRESS – Science and Technology Publications, Lda. Under CC license (CC BY-NC-ND 4.0)
101
the water can automatically oxidise the organic matter
present in the water is termed the self-purification
rate.
This phenomenon narrates the outcome of the de-
oxygenation and re-oxygenation processes taking
place continuously in a simultaneous manner. Along
with other hydraulics-driven models of re-
oxygenation, Steeter and Phelps' model which is
based on the relation between DO and BOD is used
as a basis for assessment in this study. The model is
given as:
𝐷=

.
𝑒

− 𝑒

+ 𝐷
.𝑒

(1)
D
0
= initial DO deficit;
D = the DO deficit;
k
1
= the BOD degradation constant;
k
2
= the atmospheric re-aeration constant;
L
0
= the ultimate BOD; and
t = the hydraulic retention time.
As a vital water source, the Mooi River catchment
has been subjected to a lot of pollution over more than
30 years (DWA, Green Drop Progress Report, 2012a;
DWA, Classification of Significant Water Resources
(River, Wetlands, Groundwater and Lakes) in the
Upper, Middle and Lower Vaal Water Management
Areas (WMA) 8, 9, 10, 2012b). Wondersfontein
River, a tributary to the Mooi River, is known through
research to be a much-polluted river containing
contaminants from the gold mining sectors and the
Flip Human Wastewater Treatment Works, thus
influencing the quality of the water in the Mooi River
at the point of their confluence (Barnard, Venter, &
Van Ginke, 2013). Furthermore, with the effluent
from Kokosi Wastewater Treatment Works, the
Loopspruit River subsequently repeats this influence
downstream of the Mooi River. Based on these
influences, this study aims to provide a clearer
perspective on the catchment's ability to purify itself
and continue being useful to its surrounding
population.
2 MATERIALS AND METHODS
The study was conducted on the Mooi River
catchment which is formed by the Mooi River
together with Wondersfontein River and Loopspruit
River as tributaries. The Wondersfontein River
confluxes with the Mooi River's upstream section
from the northeast side, creating one volume of water
mass concentration. The downstream section of the
Mooi River is further joined by the Loopspruit River,
which also influences the quality of the Mooi River.
Along its length lies three storage dams namely;
Klerkskraal, Boskop and Potchefstroom dams. These
dams receive water directly from the Mooi River
(DWA, Green Drop Progress Report, 2012a; DWA,
Classification of Significant Water Resources (River,
Wetlands, Groundwater and Lakes) in the Upper,
Middle and Lower Vaal Water Management Areas
(WMA) 8, 9, 10, 2012b)and their capacities are 8ML,
21ML and 2ML respectively (Annandale & Nealer,
2011).
Fieldwork: 10 sampling points were benchmarked
along the course of the river based on the locations of
interest. The interest was determined by the locations'
closeness to major water points such as dams,
proximity to pollution sources such as wastewater
plants, as well as confluences, etc. The sampling
points are labelled SPL1 to SPL10.
Figure 1.
Table 1 below shows the sampling points and
their descriptions. (Refer to tables 2 and 3 for flow
distances).
Table 1: Sampling points
Sampling point Sampling point description
SPL1 Klerkskraal Dam Outlet
SPL2 Mooi River Brid
g
e
SPL3 Mooi River Before Boskop
Dam and Before
Wondersfontein River
Confluence
SPL4 Bosko
p
Dam Inlet/Outlet
SPL5 Potch Dam Inlet/Outlet
SPL6 Mooi River at Potchefstroom
Cit
y
Mooi River Mall
SPL7 Mooi River + Loopspruit
River before Potch WWTW
effluent dilution
SPL8 Mooi River + Potch WWTW
effluent
SPL9 Mooi River + Potch WWTW
effluent before Vaal
SPL10 Mooi River + Vaal
confluence
ISWEE 2022 - International Symposium on Water, Ecology and Environment
102
Table 2: Dry season water quality and self-purification indicators.
Sampling
point
Temp.
()
Satu-
ration
DO
(mg/l)
Actual/
in situ DO
(mg/l)
Five-
day
DO
(mg/l)
DO
deficit
(mg/l)
BOD
(mg/l)
Velocity
(m/s)
Accumul
-ated
distance
(km)
Time
(days)
Deoxyge
-na-tion
constant
k
1
Reoxy
gena-
-tion
consta
nt
k
2
Self-
purific
-ation
factor,
f
SPL1
21.1 8.880 7.50 6.9 1.380 0.6 0.54 0 0.00 0
SPL2
20.8 8.940 6.60 5.8 2.340 0.8 0.36 12.0 0.39 -0.744 -1.366 1.835
SPL3
20.2 9.060 6.40 5.5 2.660 0.9 0.34 23.6 0.39 -0.299 -0.325 1.088
SPL4
20.5 9.000 7.10 6.4 1.900 0.7 0.26 32.7 0.41 0.618 0.827 1.339
SPL5
22.1 8.690 7.30 6.4 1.390 0.9 0.15 46.4 1.06 -0.238 0.296 -1.244
SPL6
22.4 8.660 6.70 5.7 1.960 1 0.16 49.0 0.19 -0.569 -1.856 3.262
SPL7
21.7 8.760 6.50 5.9 2.260 0.6 0.11 54.8 0.61 0.834 -0.233 -0.279
SPL8
22.3 8.670 5.50 4.3 3.170 1.2 0.1 56.8 0.24 -2.919 -1.425 0.488
SPL9
23.4 8.520 6.40 5.8 2.120 0.6 0.09 110.4 6.89 0.101 0.058 0.580
SPL10
23.9 8.420 6.70 5.9 1.720 0.8 0.83 112.3 0.03 -11.182 8.127 -0.727
Table 3: Wet season water quality and self-purification indicators.
Sampling
point
Temp.
()
Satura
ti-on
DO
(mg/l)
Actual/
in situ DO
(mg/l)
Five-
day
DO
(mg/l)
DO
deficit
(mg/l)
BOD
(mg/l)
Velocity
(m/s)
Accumul
-ated
distance
(km)
Time
(days)
Deoxyge
na-tion
constant
K
1
Reoxy
gena-
tion
consta
nt
K
2
Self-
purific-
ation
factor, f
SPL1
23.6 8.520 7.4 5.3 1.120 2.1 0.53 0 0.00 0
SPL2
21 8.900 5.2 4.8 3.700 0.4 0.52 12.0 0.27 6.196
4.46
5
0.721
SPL3
21.1 8.850 4.3 3.6 4.550 0.7 0.61 23.6 0.22 -2.551 -0.943 0.370
SPL4
19.5 9.200 7.4 5.4 1.800 2 0.6 32.7 0.18 -5.958 5.263 -0.883
SPL5
23.2 8.560 7 6.1 1.560 0.9 0.17 46.4 0.93 0.857 0.154 0.179
SPL6
23.3 8.540 3.1 1.7 5.440 1.4 0.17 49.0 0.17 -2.535 -7.167 2.827
SPL7
23.2 8.560 2.7 1.8 5.860 0.9 0.2 54.8 0.34 1.312 -0.221 -0.168
SPL8
24.2 8.380 2.6 1.6 5.780 1 0.3 56.8 0.08 -1.331 0.177 -0.130
SPL9
23.8 8.440 4.7 3.9 3.740 0.8 0.35 110.4 1.77 0.126 0.246 1.951
SPL10
26.7 8.030 5.2 4.6 2.830 0.6 0.34 112.3 0.06 4.580 4.439 0.969
Assessment of Self-Purification Capacity of the Mooi River Catchment of South Africa
103
Mooi River stretches from the first sampling point
(SPL1) at Klerkskraal Dam to the last sampling point
(SPL10) at the Vaal River confluence. . The analysis
of these results discovered through this study yields a
clear identification and understanding of all the weak
spots along the river length in terms of pollution
subjection and purification strength. This further
allows us to indicate how each river segment reacts to
different types of pollution and other factors affecting
its self-purification. Knowing whether the levels of
these indicators increase or decrease at each segment
enables us to know how the purification is affected by
either pollution or other factors.
2.1 Calculating the De-Oxygenation
(k
1
) and Re-Oxygenation (k
2
)
Constants
In addition to the fieldwork, laboratory work was
conducted to determine the BOD using the BOD5
(non-dilution) analysis method, where the DO of a
sample was measured before and after it was
incubated at 20℃ for 5 days. The difference between
the two DOs was taken as the BOD value for each
sample.
The laboratory analysis, which was conducted
using Microsoft Excel, allowed us to develop the re-
oxygenation constant model (k
2
) for the study area.
The model validation was conducted by running
Microsoft Excel Regression Analysis between k
2
values obtained using the developed model and the k
2
values calculated using the actual field data. Before
determining the re-oxygenation rate using the
proposed models, the de-oxygenation constant (k
1
)
was calculated and the results show that the rate at
which the BOD in the water is decomposed is directly
proportional to the amount of BOD present/remaining
in the water. This means that the de-oxygenation rate
is high when the BOD level is high.
3 RESULTS AND DISCUSSIONS
The re-oxygenation constant (k
2
) can be calculated by
using the DO deficits of the water on the upstream
sampling points of the catchment determined on the
field together with the DO deficits determined by the
downstream sampling points. The formula is derived
from the rate relationship between the DO deficit and
the rate at which the atmospheric air enters the water
(re-oxygenation). The rate at which the atmospheric
air enters the water is directly proportional to the DO
deficit in the water. In summation, the deoxygenation
coefficient k
1
is dependent on the pollution or waste
characteristics alone, while the re-oxygenation
coefficient k
2
, is dependent on factors such as stream
velocity, stream depth and water temperature. Hence,
there is a need to model k
2
differently and this could
be achieved by data gathering on such parameters as
dissolved oxygen, stream velocity, water depth and
temperature.
For both seasons, the quality of the water
deteriorates by constantly losing oxygen for a flow
distance of about 23,6 km from the first sampling
point at Klerkskraal Dam. This results in high
dissolved oxygen deficit levels. The oxygen deficit
level of the wet season is also affected by the low flow
rate and deep hydraulic depth of the river at this point.
The flow rate is as low as 0,16 m/s with a hydraulic
depth of 0,5 m during the dry season period. The
Reoxygenation rate is less in deep slow-moving
waters due to the insufficiencies of turbulence,
oxygen dilution, and dispersion in water. All this
results in high dissolved oxygen deficit levels. The
oxygen deficit then declines towards the Vaal River
confluence. The flow distance between sampling
points 8 and 10 allows for sufficient re-oxygenation
and recovery from organic matter present in the
water. The highest DO deficit was recorded during
the wet season because of an increase in the hydraulic
depths of the water. High quantities of water in rivers
make it difficult for self-purification to take place
effectively.
4 CONCLUSIONS
The major sources of non-point pollution in the Mooi
River catchment are agricultural activities and urban
runoff during the wet season. The high levels of
phosphorus and nitrogen induced by the excessive use
of agricultural pesticides result in eutrophication.
Furthermore, the Mooi River is a slow flowing river
in some segments, some parts of it are close to
stagnant. At deep hydraulic depths, this results in
slow atmospheric oxygen infusion, algal blooming,
and growth of aquatic plants thus causing rapid
depletion of dissolved oxygen. This affects the
natural self-purification of the catchment.
The quality management system of South Africa
should urgently employ intense purification
modelling of its river systems. This will assist in
identifying pollution sources that are fatal to the
quality of the water in South African water masses.
Furthermore, it will help the water treatment sectors
to identify reliable points of raw water extraction for
portable water treatment, thus reducing the treatment
costs.
ISWEE 2022 - International Symposium on Water, Ecology and Environment
104
Due to South Africa's energy deficiency, reducing
the water treatment intensity means using less
electricity and chemicals during treatment.
Recreational economic activities influenced by
aquatic life such as fish, at places like Boskop Dam
and Potch Dam, have also been affected by the
pollution induced on the Mooi River.
ACKNOWLEDGEMENTS
Central University of Technology Research
Department, Mid-Vaal Water Company, Tshepang
Mmutle and Olebogeng Mmutle.
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Assessment of Self-Purification Capacity of the Mooi River Catchment of South Africa
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