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Evaluation of water quality modelling parameters: towards the evolvement of re-aeration coefficient for rivers in the nigerian environment

 

Table Of Contents


<p> </p><p>Title Page &nbsp; &nbsp; &nbsp; &nbsp; i &nbsp;<br>Declaration &nbsp; &nbsp; &nbsp; &nbsp; ii &nbsp;<br>Certification &nbsp; &nbsp; &nbsp; &nbsp; iii<br>Dedication &nbsp; &nbsp; &nbsp; &nbsp; iv<br>Acknowledgement &nbsp; &nbsp; &nbsp; v<br>Table of Contents &nbsp; &nbsp; &nbsp; &nbsp; vii<br>List of Figures &nbsp; &nbsp; &nbsp; &nbsp; x<br>List of Tables &nbsp; &nbsp; &nbsp; &nbsp; xi<br>List of Plates &nbsp; &nbsp; &nbsp; &nbsp; xiv<br>Abbreviations and Symbols &nbsp; &nbsp; &nbsp; xv<br>Abstract &nbsp; &nbsp; &nbsp; &nbsp; xvi<br>&nbsp;<br><b>

Chapter ONE

: INTRODUCTION</b><br>11 Background Information &nbsp; &nbsp; &nbsp; 1 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<br>12 &nbsp; Water Quality modelling &nbsp; &nbsp; &nbsp; 3<br>13 &nbsp; Description of Study Location &nbsp; &nbsp; 5<br>14 &nbsp; Statement of The Problem &nbsp; &nbsp; 6<br>15 &nbsp; Aim &nbsp; &nbsp; &nbsp; &nbsp; 6<br>16 &nbsp; Objectives &nbsp; &nbsp; &nbsp; 6<br>17 &nbsp; Significance of Study &nbsp; &nbsp; &nbsp; 6<br>18 &nbsp; Scope of Study &nbsp; &nbsp; &nbsp; 7<br>&nbsp;<br>&nbsp;

Chapter TWO

: LITERATURE REVIEW<br>21 Water Quality Modelling as a Field of Study &nbsp; 8<br>22 &nbsp; Coefficient of Re-aeration, k2 &nbsp; &nbsp; 9<br>223 The Indian k2 Model &nbsp; &nbsp; &nbsp; 13<br>224 The Chilean k2 Model &nbsp; &nbsp; &nbsp; 14<br>225 The Nigerian k2 Model &nbsp; &nbsp; 15<br>23 &nbsp; Water Laws and Standards &nbsp; &nbsp; &nbsp; 15<br>24 &nbsp; Statistical Analysis &nbsp; &nbsp; &nbsp; 17<br>241 Some Relevant Statistical Operations &nbsp; 17<br>242 Statistical Software &nbsp; &nbsp; 19<br>243 Model Calibration and Validation in Water Quality<br>Data &nbsp; &nbsp; &nbsp; 20<br>2431 &nbsp; &nbsp; Sum of Squares Due to Error 21<br>2432 &nbsp; &nbsp; R-Square &nbsp; &nbsp; &nbsp; 21<br>2433 &nbsp; &nbsp; Degrees of Freedom Adjusted R-Square 22<br>2434 &nbsp; &nbsp; Root Mean Squared Error &nbsp; 22<br>&nbsp;<br><b>

Chapter THREE

: METHODOLOGY &nbsp;</b><br>&nbsp; &nbsp; &nbsp; &nbsp; 31 &nbsp; Selection of the Study Area &nbsp; &nbsp; &nbsp; 24<br>&nbsp; &nbsp; &nbsp; 32 &nbsp; Determination of Sampling Stations &nbsp; &nbsp; 27<br>&nbsp; &nbsp; &nbsp; 33 &nbsp; Field Activities &nbsp; &nbsp; &nbsp; 49<br>&nbsp; 331 Field Observations &nbsp; &nbsp; 31<br>&nbsp; 332 Field Sampling Visits &nbsp; &nbsp; 31<br>&nbsp; 3321 &nbsp; &nbsp; Rationale for Gathering Data Once Every Month 32<br>&nbsp; &nbsp; 3322 &nbsp; &nbsp; Activities During the Field Exercises 33<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 34 &nbsp; &nbsp; Materials &nbsp; &nbsp; &nbsp; 34<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 3</p><p>5 &nbsp; &nbsp; Laboratory Analysis &nbsp; &nbsp; &nbsp; 36<br>&nbsp; &nbsp; &nbsp; 36 &nbsp; &nbsp; Data Analysis &nbsp; &nbsp; &nbsp; 37<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 361 &nbsp; Time of Travel &nbsp; &nbsp; &nbsp; 38<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 362 &nbsp; Re-aeration Coefficient Model &nbsp; &nbsp; 39<br>&nbsp;<br><b>

Chapter FOUR

: DATA PRESENTATION AND INTERPRETATION</b><br>&nbsp; 41 Data Gathering &nbsp; &nbsp; &nbsp; 40<br>&nbsp; 411 &nbsp; Hydraulic Data &nbsp; &nbsp; 41<br>&nbsp; 412 &nbsp; Physico-Chemical Data &nbsp; &nbsp; 50<br>&nbsp; &nbsp; 413 Monthly Variations in DO, Temperature, Stream Depth &nbsp; &nbsp; &nbsp; 57<br>&nbsp; 42 Computation of Measured k2 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 63<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 43 Re-arrangement of Sampling Stations &nbsp; 67<br>431 Time of Travel &nbsp; &nbsp; 68<br>432 Hydraulic Radius &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 80<br>433 Ultimate BOD and De-oxygenation Rate &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 80<br>434 Saturation DO and the Upstream and Downstream DO deficits 80<br>&nbsp;435 Determination of k2 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 80<br>436 Model Parameters &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 80<br>437 The Model &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 83<br>438 Comparison with other Selected Models &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 83<br>44 Water Use Practices &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 103<br>&nbsp;45 &nbsp; &nbsp; &nbsp; Pollutants and Public Health Implications &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 106<br>&nbsp;<br><b>

Chapter FIVE

: CONCLUSION AND RECOMMENDATION</b><br>51 Conclusion &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 110<br>52 Contribution to Knowledge &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 111<br>53 Recommendations &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 111<br>&nbsp; &nbsp; &nbsp; &nbsp;<br><b>REFERENCES &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 113<br>&nbsp;<br>APPENDICES &nbsp;</b><br>Appendix 1: Matlab Code for Beta &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 121<br>Appendix 2: Matlab Model Output &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 128<br>Appendix 3: Matlab Code and Output for Plot of all Models &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 132<br>Appendix 4: Mix Calculations &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 140<br>Appendix 5: Laboratory Reports &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 147 &nbsp;<br>Appendix 6: Procedure for data Analysis &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 160</p><p><b><br>LIST OF FIGURES &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; PAGE</b><br>Figure 11 – Nigerian Household distribution by source of water supply 2<br>Figure 12 – Nigerian Household distribution by Toilet Facilities &nbsp; 3<br>Figure 13 â“ General Layout of the Study area &nbsp; &nbsp; 5<br>Figure 31â“ Field Sampling Stations &nbsp; &nbsp; &nbsp; 28<br>Figure 32 â“ Linear representation of Sampling Points &nbsp; 29<br>Figure 33 – Sampling Cross-section &nbsp; &nbsp; &nbsp; 33<br>Figure 41 â“ An 8-month mean stream velocity record &nbsp; 59<br>Figure 42 â“ An 8-month mean ambient temperature record &nbsp; 60<br>Figure 43 â“ An 8-month mean water temperature record &nbsp; 61<br>Figure 44 â“ An 8-month mean stream depth record &nbsp; &nbsp; 61<br>Figure 45 â“ DO Fluctuations over an 8-month period &nbsp; 62<br>Figure 46 – Flowchart showing the progression of the statistical analysis &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 86<br>Figure 47 â“ Plot of 11 models using January data &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 93<br>Figure 48 â“ Plot of measured k2 against computed k2 using January data &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 94<br>Figure 49 â“ Plot of 11 models using March data &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 96<br>Figure 410 – Plot of measured k2 against computed k2 using March data &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 97<br>Figure 411 â“ Plot of 11 models using July data &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 99<br>Figure 412 – Plot of measured k2 against computed k2 using July data &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 100<br><b><br>LIST OF TABLES &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; PAGE</b><br>&nbsp;<br>Table 21 â“ The self-purification factor, f, of different water bodies at 20oC 9<br>Table 22 â“ Solubility of Oxygen in water &nbsp; &nbsp; 10<br>Table 31 – Details of Sampling Stations &nbsp; &nbsp; 30<br>Table 32 â“ Parameters Measured with Relevance to study &nbsp; 32<br>Table 33 â“ Parameters, equipment and Processes of parameter determination<br>Schedule for field work &nbsp; &nbsp; &nbsp; 34<br>Table 41 – Sampling dates and conditions &nbsp; &nbsp; 40<br>Table 42a â“ Hydraulic Data for January &nbsp; &nbsp; 42<br>Table 42b â“ Hydraulic Data for February &nbsp; &nbsp; 43<br>Table 42c â“ Hydraulic Data for March &nbsp; &nbsp; 44<br>Table 42d â“ Hydraulic Data for April &nbsp; &nbsp; 45<br>Table 42e â“ Hydraulic Data for May &nbsp; &nbsp; &nbsp; 46<br>Table 42f â“ Hydraulic Data for July &nbsp; &nbsp; &nbsp; 47<br>Table 42g â“ Hydraulic Data for August &nbsp; &nbsp; 48<br>Table 42h â“ Hydraulic Data for September &nbsp; &nbsp; 49<br>Table 43a â“ Physico-Chemical Parameters for January &nbsp; 50<br>Table 43b â“ Physico-Chemical Parameters for February &nbsp; 51<br>Table 43c â“ Physico-Chemical Parameters for March &nbsp; &nbsp; 52<br>Table 43d â“ Physico-Chemical Parameters for April &nbsp; &nbsp; 53<br>Table 43e â“ Physico-Chemical Parameters for May &nbsp; &nbsp; 54<br>Table 43f â“ Physico-Chemical Parameters for July &nbsp; &nbsp; 55<br>Table 43g â“ Physico-Chemical Parameters for August &nbsp; 56<br>Table 43hâ“ Physico-Chemical Parameters for September &nbsp; 57<br>Table 44 â“ Mean Monthly Ambient and Water Temperatures &nbsp; 60<br>Table 45 â“ Determination of Reaches for the River &nbsp; &nbsp; 64<br>Table 46 – Dilution Effects for January &nbsp; &nbsp; 65<br>Table 47 – Dilution Effects for February &nbsp; &nbsp; 65<br>Table 48 – Dilution Effects for March &nbsp; &nbsp; 65<br>Table 49 – Dilution Effects for July &nbsp; &nbsp; &nbsp; 66<br>Table 410 – Dilution Effects for August &nbsp; &nbsp; 66<br>Table 411 – Dilution Effects for September &nbsp; &nbsp; 66<br>Table 412 â“ Re-arrangement of station numbers &nbsp; &nbsp; 67<br>Table 413 â“ Computation of time of travel on Programmed Excel Spreadsheet for January &nbsp; &nbsp; &nbsp; &nbsp; 68<br>Table 414 â“ Computation of time of travel on Programmed Excel Spreadsheet for<br>February &nbsp; &nbsp; &nbsp; &nbsp; 69<br>Table 415 â“ Computation of time of travel on Programmed Excel Spreadsheet for<br>March &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 70<br>Table 416 â“ Computation of time of travel on Programmed Excel Spreadsheet for<br>July &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 71<br>Table 417 â“ Computation of time of travel on Programmed Excel Spreadsheet for<br>August &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 72<br>Table 418 â“ Computation of time of travel on Programmed Excel Spreadsheet for<br>September &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 73<br>Table 419 â“ Computation of k1 and k2 on Programmed Excel Spreadsheet for JanuaryTable 420 â“ Computation of k1 and k2 on Programmed Excel Spreadsheet for<br>February &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 75<br>Table 421 â“ Computation of k1 and k2 on Programmed Excel Spreadsheet for March<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 76<br>Table 422â“ Computation of k1 and k2 on Programmed Excel Spreadsheet for July<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 77<br>Table 423 â“ Computation of k1 and k2 on Programmed Excel Spreadsheet for August<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 78<br>Table 424 â“ Computation of k1 and k2 on Programmed Excel Spreadsheet for<br>September &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 79<br>Table 425â“ Model fit and goodness of fit Summary for Dry Season &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 81<br>Table 426â“ Model fit and goodness of fit Summary for Rainy Season &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 82<br>Table 427 â“ Selected Models for Model Validation (Test of performance) &nbsp; 84<br>Table 428â“ Goodness of fit using January Data &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 91<br>Table 429- Goodness of fit using March Data &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 91<br>Table 430- Goodness of fit using July Data &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 92<br>Table 431: Graphical Goodness of fit using January, March and July Data 102<br>Table 432 â“ Order of Composite Goodness of Fit &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 103<br>Table 433 â“ Comprehensive River water and Industrial Effluent Analysis &nbsp; 107<br>LIST OF PLATES &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; PAGE<br>Plate 31 â“ The industrial effluent flowing along the road down towards the river 25<br>Plate 32 â“ the effluent accumulates (left) from where it seeps into the river body 25<br>Plate 33 â“ Effluent accumulation beside the river body &nbsp; 26<br>Plate 34 â“ Villagers of Iju tapping the river water for domestic use &nbsp; 26<br>Plate 35 â“ Sewage being taken near the river for disposal &nbsp; 27<br>Plate 36 â“ Field pH meter &nbsp; &nbsp; &nbsp; 35<br>Plate 37 â“ Eurolab digital thermometer with sensitive probe &nbsp; 35<br>Plate 38 – Geopacks Stream flow sensor with its pole and fan-like impeller 36<br>Plate 39 – Measuring the river width with a tape &nbsp; &nbsp; 36<br>Plate 310 â“ the Speedtech Portable Depth Sounder (yellow torchlight shaped<br>instrument) &nbsp; &nbsp; &nbsp; &nbsp; 57<br>Plate 41 â“ Sampling Station 10 in Rainy season (August) &nbsp; 58<br>Plate 42 â“ Sampling Location 10 in Dry season (March) &nbsp; 58<br>Plate 43 â“ Human skeleton found in the River &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 104<br>Plate 44 â“ Pollution along the river channel &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 104<br>Plate 45 â“ The research team could not proceed because of blockage of the river 105<br>Plate 46 â“ Water intake station for Ogun State Water Corporation &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 105<br>Plate 47 â“ Man swimming after the dayâs work &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 106</p><p><b>ABBREVIATIONS AND SYMBOLS</b><br>1 DO â“ Dissolved Oxygen<br>2 BOD – Biochemical Oxygen Demand<br>3 QUAL â“ Stream Water Quality models<br>4 CORMIX â“ Cornell Mixing Zone Expert<br>5 WASP â“ Watershed Quality Analysis Simulation Programme<br>6 FEPA â“ Federal Environmental Protection Agency<br>7 USEPA â“ United States Environmental Protection Agency<br>8 USGS â“ United States Geological Society<br>9 UNESCO â“ United Nations Education, Scientific and Cultural Organization<br>10 DV â“ Dependent Variable<br>11 IV â“ Independent Variable<br>12 ANOVA â“ Analysis of Variance<br>13 SSE â“ Error Sum of Squares<br>14 SSR â“ Residual sum of squares<br>15 SST â“ Total sum of squares<br>16 R2 â“ correlation coefficient<br>17 Adj R2â“ Adjusted Correlation coefficient<br>18 RMSE â“ Root mean square error<br>19 APHA – American Public Health Association<br>20 SPSS â“ Statistical Package for Social Sciences<br>21 MATLAB â“ Matrix Laboratory software<br>22 GPS â“ Global Positioning System<br>23 k2 â“ re-aeration coefficient<br>24 k1 â“ de-oxygenation coefficient<br>25 f â“ self purification factor<br>26 2 ^Ï – estimated variance<br>27 mg/l â“ milligram per litre</p> <br><p></p>

Thesis Abstract

<p> This study was carried out on River Atuwara in Ota, Ogun State, Nigeria with the aim of developing a coefficient of re-aeration model applicable to River Atuwara and other rivers in the Nigerian environment. This was achieved by sourcing for data once every month from 22 sampling locations of interest within a pre-selected segment of the river over a period covering the dry and wet seasons. The data collected include hydraulic data (depth, width, velocity and time of travel) and water quality data such as Dissolved Oxygen (DO) and Biochemical Oxygen Demand (BOD). Excel Spreadsheet and MATLAB were used for data processing. Regression analysis was carried out where stream velocity and depth were the regressors and the re-aeration constant k2 (as a function of BOD, DO and Temperature) was the dependent variable. A coefficient of re-aeration, k2, (Atuwara re-aeration model) was developed and validated statistically. Its performance was also verified by comparing the model with 10 other internationally recognized models. It was found that even though Atuwara model performed better than Agunwamba model and most of the other well cited models, both Atuwara model and Agunwamba model could be safely adopted for future water quality modelling researches in the Nigerian environment. Results of detailed water analysis of samples from River Atuwara shows high level of pollution hence it is unfit for human consumption without adequate treatment. It is recommended that River Atuwara and similar rivers in the country should be regularly monitored for quality control. <br></p>

Thesis Overview

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