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Journal of Natural Sciences Research www.iiste.org 
ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online) 
Vol.4, No.17, 2014 
Optimization Modeling of Water Quality in Pollution Regions of 
Nigeria 
Sylvia Okonkwo 
Department of Chemistry, Anambra State University, Uli-Nigeria, 
Email Of The Corresponding Author :sylocs70@yahoo.com 
Abstract 
This work aims at studying the effect of the dump sites near borehole location and away from the location, 
adopts optimization modeling of quality of water in the pollution regions of Nigeria. The problem starts from 
poor sanitations as a result of poor human excreta management and related un-hygiene practices like dump site. 
Secondly, reduction in quality of water and increase in water treatment cost damage to environmental quality and 
lost of land value etc. Methodology involves carefully collected water sample from two designed Nigerian and 
result were cross examine with the World Health Organization (WHO) standard thus result was compared with 
the standard in other Pearson product moment correlation model mode (r) for assessment of the interaction 
between the elements for optimization modeling of the result with that are mostly endangers. In conclusion the 
interaction model proved that the average result of the analysis of sample of borehole water collected at 
Rumuogwamama in Eneka in Obio Akpo Local Government Are of River State of Nigeria in the month of 
March 2011 were below the WHO standard. Particularly the (PH) of 5.78 to 5.31 and heavy metals for the 
sample of the borehole near the dump sites and away from the site when corrected with the uses. Therefore these 
had led to ill health and industrial problems in the rine religion of Nigeria as the waters are unsuitable for 
drinking industrial uses done for modification of the (pH) and heavy metals before use. 
Keywords: Optimization,Modelling water quality,pollution and heavy metals. 
Introduction 
Quality assessment of ground water in selected waste dump site area in Warri Nigeria according to Ernest et al 
shows that present of dump sites are potentials source of pollution to the ground water because of the shallow 
depth of water table and also the dump source of contraindication of drinking water (Schewab et al. 1992). ( Ibe 
and Barare 2002) reported that rapid increase in pollution in large cities without adequate plane jeopardizes 
limited water resources. ( WHO 1971 and 1984) 
According to(Raw 1984) “water is not natural for either bacteria or viruses and over a long period of time, they 
will be inactivated due to exposure to hostile. Environmental factor such as sunlight temperature, segmentation 
and biological action. His work also shows that terminal disinfection is essential to complete removal of 
pathogens before discharge of effluents into the aquaticsensure environment. In Port-Harcourt, also a river-rine 
environment where uncontrolled open dumping of waste is the norm, leachates generated during the rain 
eventually contaminate the borehole water (ground water). At present the effect of dump sites on the quality of 
ground water in Port-Harcourt is ought to be assessed, which gave rise to this research work. Industrial 
pollutants, agrochemical applications, erosions, and disposal of solid waste are sources that degrade drinking 
water quality, standards, thereby degenerating into prohibitive water pollution situation. Consequently, water 
borne diseases such as Iypha, cholera, diarrhea and dysentery become communicable (Akudo et al 2010) 
Drinking water must be within tolerable use limits for human consumption, water taste, colour, odour, SAR , PH 
and Salinity stain must satisfy the recommended drinking water standard (Ibe and Bakare 2002),(Schewab et al 
1992). The biological, chemical and physical or radiological agent (conditions) of the water have the potentials 
to cause adverse health problems (Musa 1996) according to Bartrain et al (2009). 
Conception of the Model 
In this work the method of least square, the Pearson product moment correlation (r) model is used. Two variables 
y (dependent) and x (independent) were correlated by plotting them on x and y axis. If they fall on a straight plot, 
there is a close linear relationship; on the other hand, if the points depart appreciably (without a definite trend), 
the graph is called a scatter diagram or plot. If the trend is a straight line, the relationship is linear and has the 
equation y=a+bx 
Number of lines can be obtained depending on the values of a and b. The method of least squares is used to 
select the line that fits the data best. 
Result and Discussion 
The results of the analyzed borehole water sample for physicochemical analysis in the region are as follows. 
102
Journal of Natural Sciences Research www.iiste.org 
ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online) 
Vol.4, No.17, 2014 
Table 1: average results of analysis for physicochemical borehole sample collected in the month of March 2011 
for sample A, B, C and D 
Parameter A B C D Average 
Colour Colourless Colourless Colourless Colourless Colourless 
Odor Nil Nil Nil Nil Nil 
pH at 290c 5.78 5.11 5.38 5.31 5.40 
Conductivity at 290cms/cm 35.1 68.4 12.9 7.4 30.95 
Total dissolved solid; mg/1 16.2 31.5 5.9 3.4 14.25 
Calcium, ca, mg/1 3.2 4.3 0.80 0.64 2.24 
Chloride, cl, mg/1 23.0 34.7 18.7 13.1 22.38 
Sulphate, SO4 mg/1 03.9 17.1 10.2 6.4 9.40 
Phosphate, PO43mg/1 0.62 0.73 0.83 0.77 0.74 
Sodium, Na(ppm) 10.0127 19.4690 <0.000 <0.0001 7.37 
Table 2: average result of the heavy metal concentration in borehole sample collected in the month of march 
2011 for sample A, B, C and D 
Heavy Metal A B C D Average 
Mercury Hg 0.0021 0.0107 <0.0001 <0.0001 <0.0033 
Lead (Pb) 5.7157 6.2663 5.5932 5.1947 5.6925 
Zinc (Zn) 0.2134 0.3497 0.3168 0.2791 0.2898 
Manganese (mn) 1.6623 0.8769 <0.0001 <0.0001 0.6349 
Copper (cu) 0.6298 0.4277 <0.5049 0.2271 0.4474 
Iron (fe) 8.7159 9.8620 110.5520 4.7593 33.4723 
Table 3: Average results of microbiological analysis of the borehole water sample collected in the month of 
March, 2011 for sample A, B, C and D 
Sample A Sample B Sample C Sample D Average 
103 
Microbial 
group 
Plate 
readier 
Unit 
cfu/ml 
Plate 
readier 
Unit 
cfu/ml 
Plate 
reading 
Unit 
cfu/ml 
Plate 
reading 
Unit cfu/ml 
Coliform 
other 
coliform 
Nil Nil Nil Nil Nil Nil Nil Nil Nil 
Ecoli Nil Nil Nil Nil Nil Nil Nil Nil Nil 
Faecal 
streptococci 
Nil Nil Nil Nil Nil Nil Nil Nil Nil 
Salmonella 
sp 
Nil Nil Nil Nil Nil Nil Nil Nil Nil 
Shigeila sp Nil Nil Nil Nil Nil Nil Nil Nil Nil 
Vivrio sp Nil Nil Nil Nil Nil Nil Nil Nil Nil 
Clostridia sp Nil Nil Nil Nil Nil Nil Nil Nil Nil 
Yeast/Mold Nil Nil Nil Nil Nil Nil Nil Nil Nil 
Total plate 
4 
0.4x101 2 
0.2 x 
count 
colonies 
colonies 
101 
6 
colonies 
0.6 x 
101 
88 
colonies 
88 x 
101colonies 
25x101 
Discussion 
The average result of the analysis of sample of borehole water collected at Rumuogwunama in Enek in Obio- 
Akpor L.G.A of River state in the month of march 2011 were shown in the the table above.. The pH of the 
samples of the borehole were below WHO range (708.0)for drinking water indicating their unsuitable for 
drinking in the raw form. Before drinking it the PH of these borehole have modified to value close to 7.0 or there 
asset. This indicate that those borehole water are polluted with acidic minerals many be from urban runoff, urban 
waste for refuse dump site the sample B is the most acidic. Also waste from market places, houses, abalture can 
also effect the PH of the water borehole and make them acidic. 
Let us consider the case where a number of kilograms of chlorine needed per day and capacity of the contact 
tank in a water treatment plant/operation supplying the city of port-Harcourt of 100,000 people, with reference to 
tables 1 to 3 is design for the PH, conductively, total dissolved solids, calcium chloride, suplphate, phosphate 
sodium potassium, Turbidity, Mercury, lead, zinc. Manganese, copper and iron for WHO standard with the 
Pearson (r) optimization model.
Journal of Natural Sciences Research www.iiste.org 
ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online) 
Vol.4, No.17, 2014 
Solution case (i) 
We consider that at least 1.2mg of chlorine must be added to every liter to overcome the chlorine demand of 
1mg/1 and produce a free available chlorine concentration of 0.2mg/1. Since the treatment operation must be 
capable of operating at the optimum daily flow rate, we can make the following calculation to determine the 
amount of chlorine needed for the city. 
mgchlorine 
104 
kg 
x mg 
x 
L 
foroptimumday x 
L 
d 
Kgchlorine 
Day 
6 1 10 
1.2 
= ( ) 
1 
6 
= 99.0 x 106L/day x 1.2mg/L x kg /mg 
10 
= 118.8kg chlorine added daily (at optimum production) 
Solution Case (ii) 
if we assume a minimum contact time of 30mins then the required capacity of contact tank = flow rate x contact 
time 
1 
L 
= 99.0 x 106 30min 
1440min 
= 
day 
x 
day 
= 2.063 x 106L 
= 2063m3 
Conclusion 
The average result of the analysis of samples of borehole water collected at Rumuogwunama in Eneka in Obio- 
Akpor L.G.A of Rivers State in the month of March 2011 were shown in the table 1-3. the pH of samples of the 
borehole were below WHO range (7.0-8.0) for drinkable water quality indicating their unsuitability for drinking 
in the raw form. Before it is taken the pH of water in these boreholes have to be modified to a value close to 7.5 
by addition of chlorine in accordance with the design of the treatment operation . 118.8kg of chlorine should be 
added daily at optimum production capacity, of contact tank of 2063m3 for a population of 100,000 people per 
the city of Port-Harcourt. 
The hypothesis tested at 0.10 level of significance shows that null hypothesis is accepted with 
Pearson’s model. The obtain value of r=0 which is less than the critical value of r=497. No relationship exists 
between WHO standard (x) and the pollution region of Nigeria. For this reason a hypothetical optimization case 
model proposed some modifications. 
The WHO standard model was related to the United State and Canada standards with the Pearson 
product moment correlation (r) model, the regression equation calculation gave r as I. 
This shows that the correlation, r for these two other countries are as perfect as that the WHO standard. 
In conclusion , the interaction model proved that the average result of the analysis of samples of 
borehole water collected particularly of pH of 5.78 to 5.31, and some heavy metals indicate the presence of 
pollution with acidic minerals from urban run off and waste from refuse dump site. The sample B is the most 
acidic. The low pH was due to waste from market places, houses and abalture. Therefore, these had led to ill 
health and industrial problem in the region. This work includes a design for its modification. 
References 
(1) Akudo E.O,ozulu G.U and osegbuele 2010.Quality Assessment of raund water in selected waste dump site 
Areas in warri Nigeria Environmental research journal (4):28-285 
(2) Ibe,K,M and Barkare A.S (2002).The Environmental Impact assessment of surface and ground water of 
lagos Area, south west Nigeria world journal of Biotechnology 
(3) Musa,S.M,1996.ground water hydrology and walls.Uppuslished Seminiar Paper presented to the department 
of Agriculture Engineering university of Maiduguri, Nigeria pp 2-10 
(4) Raw v.c (1984)microbial pollution marine and fresh water .National Environmental Engineering Research 
instate Nigeria India 
(5) Schewab, G.O.D.D fangmeier/ W.J Elliot and R.K.Fresvert,1992,seil andwater covservation Engineering 4th 
edu,John wiley and sons Inc, wew gork,pp.256-265 
(6) WHO,1971,International standard for drinking water 3rd edu, health organization, genera 
(7) WHO Guide line for drinking water Quality: Geneva: World health organization (1984).
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Optimization modeling of water quality in pollution regions of nigeria

  • 1. Journal of Natural Sciences Research www.iiste.org ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online) Vol.4, No.17, 2014 Optimization Modeling of Water Quality in Pollution Regions of Nigeria Sylvia Okonkwo Department of Chemistry, Anambra State University, Uli-Nigeria, Email Of The Corresponding Author :sylocs70@yahoo.com Abstract This work aims at studying the effect of the dump sites near borehole location and away from the location, adopts optimization modeling of quality of water in the pollution regions of Nigeria. The problem starts from poor sanitations as a result of poor human excreta management and related un-hygiene practices like dump site. Secondly, reduction in quality of water and increase in water treatment cost damage to environmental quality and lost of land value etc. Methodology involves carefully collected water sample from two designed Nigerian and result were cross examine with the World Health Organization (WHO) standard thus result was compared with the standard in other Pearson product moment correlation model mode (r) for assessment of the interaction between the elements for optimization modeling of the result with that are mostly endangers. In conclusion the interaction model proved that the average result of the analysis of sample of borehole water collected at Rumuogwamama in Eneka in Obio Akpo Local Government Are of River State of Nigeria in the month of March 2011 were below the WHO standard. Particularly the (PH) of 5.78 to 5.31 and heavy metals for the sample of the borehole near the dump sites and away from the site when corrected with the uses. Therefore these had led to ill health and industrial problems in the rine religion of Nigeria as the waters are unsuitable for drinking industrial uses done for modification of the (pH) and heavy metals before use. Keywords: Optimization,Modelling water quality,pollution and heavy metals. Introduction Quality assessment of ground water in selected waste dump site area in Warri Nigeria according to Ernest et al shows that present of dump sites are potentials source of pollution to the ground water because of the shallow depth of water table and also the dump source of contraindication of drinking water (Schewab et al. 1992). ( Ibe and Barare 2002) reported that rapid increase in pollution in large cities without adequate plane jeopardizes limited water resources. ( WHO 1971 and 1984) According to(Raw 1984) “water is not natural for either bacteria or viruses and over a long period of time, they will be inactivated due to exposure to hostile. Environmental factor such as sunlight temperature, segmentation and biological action. His work also shows that terminal disinfection is essential to complete removal of pathogens before discharge of effluents into the aquaticsensure environment. In Port-Harcourt, also a river-rine environment where uncontrolled open dumping of waste is the norm, leachates generated during the rain eventually contaminate the borehole water (ground water). At present the effect of dump sites on the quality of ground water in Port-Harcourt is ought to be assessed, which gave rise to this research work. Industrial pollutants, agrochemical applications, erosions, and disposal of solid waste are sources that degrade drinking water quality, standards, thereby degenerating into prohibitive water pollution situation. Consequently, water borne diseases such as Iypha, cholera, diarrhea and dysentery become communicable (Akudo et al 2010) Drinking water must be within tolerable use limits for human consumption, water taste, colour, odour, SAR , PH and Salinity stain must satisfy the recommended drinking water standard (Ibe and Bakare 2002),(Schewab et al 1992). The biological, chemical and physical or radiological agent (conditions) of the water have the potentials to cause adverse health problems (Musa 1996) according to Bartrain et al (2009). Conception of the Model In this work the method of least square, the Pearson product moment correlation (r) model is used. Two variables y (dependent) and x (independent) were correlated by plotting them on x and y axis. If they fall on a straight plot, there is a close linear relationship; on the other hand, if the points depart appreciably (without a definite trend), the graph is called a scatter diagram or plot. If the trend is a straight line, the relationship is linear and has the equation y=a+bx Number of lines can be obtained depending on the values of a and b. The method of least squares is used to select the line that fits the data best. Result and Discussion The results of the analyzed borehole water sample for physicochemical analysis in the region are as follows. 102
  • 2. Journal of Natural Sciences Research www.iiste.org ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online) Vol.4, No.17, 2014 Table 1: average results of analysis for physicochemical borehole sample collected in the month of March 2011 for sample A, B, C and D Parameter A B C D Average Colour Colourless Colourless Colourless Colourless Colourless Odor Nil Nil Nil Nil Nil pH at 290c 5.78 5.11 5.38 5.31 5.40 Conductivity at 290cms/cm 35.1 68.4 12.9 7.4 30.95 Total dissolved solid; mg/1 16.2 31.5 5.9 3.4 14.25 Calcium, ca, mg/1 3.2 4.3 0.80 0.64 2.24 Chloride, cl, mg/1 23.0 34.7 18.7 13.1 22.38 Sulphate, SO4 mg/1 03.9 17.1 10.2 6.4 9.40 Phosphate, PO43mg/1 0.62 0.73 0.83 0.77 0.74 Sodium, Na(ppm) 10.0127 19.4690 <0.000 <0.0001 7.37 Table 2: average result of the heavy metal concentration in borehole sample collected in the month of march 2011 for sample A, B, C and D Heavy Metal A B C D Average Mercury Hg 0.0021 0.0107 <0.0001 <0.0001 <0.0033 Lead (Pb) 5.7157 6.2663 5.5932 5.1947 5.6925 Zinc (Zn) 0.2134 0.3497 0.3168 0.2791 0.2898 Manganese (mn) 1.6623 0.8769 <0.0001 <0.0001 0.6349 Copper (cu) 0.6298 0.4277 <0.5049 0.2271 0.4474 Iron (fe) 8.7159 9.8620 110.5520 4.7593 33.4723 Table 3: Average results of microbiological analysis of the borehole water sample collected in the month of March, 2011 for sample A, B, C and D Sample A Sample B Sample C Sample D Average 103 Microbial group Plate readier Unit cfu/ml Plate readier Unit cfu/ml Plate reading Unit cfu/ml Plate reading Unit cfu/ml Coliform other coliform Nil Nil Nil Nil Nil Nil Nil Nil Nil Ecoli Nil Nil Nil Nil Nil Nil Nil Nil Nil Faecal streptococci Nil Nil Nil Nil Nil Nil Nil Nil Nil Salmonella sp Nil Nil Nil Nil Nil Nil Nil Nil Nil Shigeila sp Nil Nil Nil Nil Nil Nil Nil Nil Nil Vivrio sp Nil Nil Nil Nil Nil Nil Nil Nil Nil Clostridia sp Nil Nil Nil Nil Nil Nil Nil Nil Nil Yeast/Mold Nil Nil Nil Nil Nil Nil Nil Nil Nil Total plate 4 0.4x101 2 0.2 x count colonies colonies 101 6 colonies 0.6 x 101 88 colonies 88 x 101colonies 25x101 Discussion The average result of the analysis of sample of borehole water collected at Rumuogwunama in Enek in Obio- Akpor L.G.A of River state in the month of march 2011 were shown in the the table above.. The pH of the samples of the borehole were below WHO range (708.0)for drinking water indicating their unsuitable for drinking in the raw form. Before drinking it the PH of these borehole have modified to value close to 7.0 or there asset. This indicate that those borehole water are polluted with acidic minerals many be from urban runoff, urban waste for refuse dump site the sample B is the most acidic. Also waste from market places, houses, abalture can also effect the PH of the water borehole and make them acidic. Let us consider the case where a number of kilograms of chlorine needed per day and capacity of the contact tank in a water treatment plant/operation supplying the city of port-Harcourt of 100,000 people, with reference to tables 1 to 3 is design for the PH, conductively, total dissolved solids, calcium chloride, suplphate, phosphate sodium potassium, Turbidity, Mercury, lead, zinc. Manganese, copper and iron for WHO standard with the Pearson (r) optimization model.
  • 3. Journal of Natural Sciences Research www.iiste.org ISSN 2224-3186 (Paper) ISSN 2225-0921 (Online) Vol.4, No.17, 2014 Solution case (i) We consider that at least 1.2mg of chlorine must be added to every liter to overcome the chlorine demand of 1mg/1 and produce a free available chlorine concentration of 0.2mg/1. Since the treatment operation must be capable of operating at the optimum daily flow rate, we can make the following calculation to determine the amount of chlorine needed for the city. mgchlorine 104 kg x mg x L foroptimumday x L d Kgchlorine Day 6 1 10 1.2 = ( ) 1 6 = 99.0 x 106L/day x 1.2mg/L x kg /mg 10 = 118.8kg chlorine added daily (at optimum production) Solution Case (ii) if we assume a minimum contact time of 30mins then the required capacity of contact tank = flow rate x contact time 1 L = 99.0 x 106 30min 1440min = day x day = 2.063 x 106L = 2063m3 Conclusion The average result of the analysis of samples of borehole water collected at Rumuogwunama in Eneka in Obio- Akpor L.G.A of Rivers State in the month of March 2011 were shown in the table 1-3. the pH of samples of the borehole were below WHO range (7.0-8.0) for drinkable water quality indicating their unsuitability for drinking in the raw form. Before it is taken the pH of water in these boreholes have to be modified to a value close to 7.5 by addition of chlorine in accordance with the design of the treatment operation . 118.8kg of chlorine should be added daily at optimum production capacity, of contact tank of 2063m3 for a population of 100,000 people per the city of Port-Harcourt. The hypothesis tested at 0.10 level of significance shows that null hypothesis is accepted with Pearson’s model. The obtain value of r=0 which is less than the critical value of r=497. No relationship exists between WHO standard (x) and the pollution region of Nigeria. For this reason a hypothetical optimization case model proposed some modifications. The WHO standard model was related to the United State and Canada standards with the Pearson product moment correlation (r) model, the regression equation calculation gave r as I. This shows that the correlation, r for these two other countries are as perfect as that the WHO standard. In conclusion , the interaction model proved that the average result of the analysis of samples of borehole water collected particularly of pH of 5.78 to 5.31, and some heavy metals indicate the presence of pollution with acidic minerals from urban run off and waste from refuse dump site. The sample B is the most acidic. The low pH was due to waste from market places, houses and abalture. Therefore, these had led to ill health and industrial problem in the region. This work includes a design for its modification. References (1) Akudo E.O,ozulu G.U and osegbuele 2010.Quality Assessment of raund water in selected waste dump site Areas in warri Nigeria Environmental research journal (4):28-285 (2) Ibe,K,M and Barkare A.S (2002).The Environmental Impact assessment of surface and ground water of lagos Area, south west Nigeria world journal of Biotechnology (3) Musa,S.M,1996.ground water hydrology and walls.Uppuslished Seminiar Paper presented to the department of Agriculture Engineering university of Maiduguri, Nigeria pp 2-10 (4) Raw v.c (1984)microbial pollution marine and fresh water .National Environmental Engineering Research instate Nigeria India (5) Schewab, G.O.D.D fangmeier/ W.J Elliot and R.K.Fresvert,1992,seil andwater covservation Engineering 4th edu,John wiley and sons Inc, wew gork,pp.256-265 (6) WHO,1971,International standard for drinking water 3rd edu, health organization, genera (7) WHO Guide line for drinking water Quality: Geneva: World health organization (1984).
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