Non-Uniform Flow Effect on Optimal Waste Load Allocation in Rivers

In this study, the effects of non-uniform flow due to: (i) inflow from tributaries and (ii) the presence of a downstream control structure (such as a weir or a barrage), on the optimal waste load allocation decision and the resulting cost-equity trade-off relationships, have been investigated. These effects are illustrated with in the framework of a typical cost-equity multi-objective optimization model for optimal waste load allocation in rivers. This framework consists of an embedded river water quality simulator with gradually varied flow and transport (BOD-DO) modules and a cost-equity multi-objective optimization model. A multi-objective evolutionary algorithm known as Non-dominated Sorting Genetic Algorithm-II is used for solving the optimization problem. The optimal fraction removal levels, the treatment cost and the system inequity measure are under predicted in certain reaches of the river, if the uniform flow assumption is made, while actually non-uniform flow conditions exist. This effect is quite pronounced when the flow non-uniformity results from a downstream control structure such as a weir.

[1]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[2]  Donald J. O'Connor,et al.  Mechanism of Reaeration in Natural Streams , 1958 .

[3]  D. E. Goldberg,et al.  Genetic Algorithms in Search , 1989 .

[4]  Edward A. McBean,et al.  Optimization Modeling of Water Quality in an Uncertain Environment , 1985 .

[5]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[6]  Bryan A. Tolson,et al.  First‐order reliability method for estimating reliability, vulnerability, and resilience , 2001 .

[7]  Okey Oseloka Onyejekwe,et al.  Certain aspects of Green element computational model for BOD–DO interaction , 2000 .

[8]  Barbara J. Lence,et al.  Water Quality Impacts of Biochemical Oxygen Demand Under Transferable Discharge Permit Programs , 1984 .

[9]  W. E. Dobbins.  BOD and Oxygen Relationship in Streams , 1964 .

[10]  P. P. Mujumdar,et al.  A fuzzy risk approach for seasonal water quality management of a river system , 2002 .

[11]  J. Cunge,et al.  Practical aspects of computational river hydraulics , 1980 .

[12]  Jeanne S. Yulianti,et al.  Waste-Load Allocation Using Genetic Algorithms , 2001 .

[13]  M. Hanif Chaudhry,et al.  Open-Channel Flow , 2007 .

[14]  Earle B. Phelps,et al.  A Study of the Pollution and Natural Purification of the Ohio River , 1958 .

[15]  J. W. Elder.  The dispersion of marked fluid in turbulent shear flow , 1959, Journal of Fluid Mechanics.

[16]  Yeou-Koung Tung,et al.  Bi-objective analysis of waste load allocation using fuzzy linear programming , 1989 .

[17]  R. L. Porto,et al.  Integration of Water Quantity and Quality in Strategic River Basin Planning , 2000 .

[18]  U. C. Kothyari,et al.  Finite difference scheme for longitudinal dispersion in open channels , 1999 .

[19]  O. Fujiwara,et al.  River Basin Water Quality Management in Stochastic Environment , 1988 .

[20]  R Dresnack,et al.  NUMERICAL ANALYSIS OF BOD AND DO PROFILES , 1968 .

[21]  John W. Labadie,et al.  River Basin Network Model for Integrated Water Quantity/Quality Management , 2001 .

[22]  J. H. Ellis,et al.  Stochastic water quality optimization using imbedded chance constraints , 1987 .

[23]  Tim A. Wool,et al.  WASP4, a hydrodynamic and water-quality model - model theory, user's manual, and programmer's guide , 1988 .

[24]  George V. Sabol,et al.  Empirical data on longitudinal dispersion in rivers , 1974 .

[25]  J. Hoffman.  Numerical Methods for Engineers and Scientists , 2018 .

[26]  Bryan A. Tolson,et al.  Achieving Water Quality System Reliability Using Genetic Algorithms , 2000 .

[27]  Srigiriraju Kishan Chetan,et al.  Noninferior Surface Tracing Evolutionary Algorithm (NSTEA) for Multiobjective optimization , 2000 .

[28]  Il Won Seo,et al.  Predicting Longitudinal Dispersion Coefficient in Natural Streams , 1998 .

[29]  A. C. Bajpai,et al.  Numerical Methods for Engineers and Scientists. , 1978 .

[30]  T. Akai.  Applied numerical methods for engineers , 1994 .

[31]  Peter J. Fleming,et al.  An Overview of Evolutionary Algorithms in Multiobjective Optimization , 1995, Evolutionary Computation.

[32]  Kenneth Strzepek,et al.  A multiple‐organic‐pollutant simulation/optimization model of industrial and municipal wastewater loading to a riverine environment , 2000 .

[33]  T. Camp,et al.  Water and Its Impurities , 1963 .

[34]  Analytical Dissolved Oxygen Model for Sinusoidally Varying BOD , 1997 .

[35]  Hugh Ellis,et al.  STOCHASTIC DYNAMIC PROGRAMMING MODELS FOR WATER QUALITY MANAGEMENT , 1993 .

[36]  Kalyanmoy Deb,et al.  A Fast Elitist Non-dominated Sorting Genetic Algorithm for Multi-objective Optimisation: NSGA-II , 2000, PPSN.

[37]  Donald H. Burn,et al.  Water-Quality Management Through Combined Simulation-Optimization Approach , 1989 .

[38]  E. D. Brill,et al.  Equity measures for exploring water quality management alternatives , 1976 .

[39]  K. Sasikumar,et al.  Application of fuzzy probability in water quality management of a river system , 2000, Int. J. Syst. Sci..

[40]  P. P. Mujumdar,et al.  Fuzzy Waste Load Allocation Model: Simulation-Optimization Approach , 2004 .

[41]  Barbara J. Lence,et al.  Surface water quality management using a multiple‐realization chance constraint method , 1999 .

[42]  S. M. Bhallamudi,et al.  OVERLAPPING CONTROL VOLUME METHOD FOR SOLUTE TRANSPORT , 2000 .