10.2190/G764-H6TX-7178-Q118 G764H6TX7178Q118 3 Water Quality Model Incorporates Unconventional Bod Reduction 303 316 20070221 20070221 20070221 20070221 G764H6TX7178Q118.pdf http://baywood.metapress.com/link.asp?target=contribution&id=G764H6TX7178Q118 4 Emerald M. Roider Trieu V. Le Donald Dean Adrian Thomas G. Sanders Louisiana State University, Baton Rouge Colorado State University, Fort Collins Biochemical Oxygen Demand (BOD) reduction through the joint action of BOD decay expressed as an unconventional second order reaction and sedimentation is incorporated into a dissolved oxygen (DO) sag model for a river. A term named the Phelps-Thomas index, which is a function of the reaeration and sedimentation rate constants, is introduced and presented as a composite measure of river and wastewater rejuvenation characteristics. Calculations using ranges of reaeration and sedimentation rates show the Phelps-Thomas index has values between -2 and 10 or larger, with large values associated with rapid recovery of DO. The time at which the minimum DO occurs is calculated numerically. Examples apply the DO sag model to logging debris in a stream. H. W. Streeter and E. B. Phelps, <i>A Study of the Pollution and Natural Purification of the Ohio River, III. Factors Concerned in the Phenomena of Oxidation and Reaeration</i>, U.S. Public Health Service, Bulletin 146, 1925. H. A. Thomas, The Pollution Load Capacity of Streams, <i>Water and Sewage Works</i>, 95, pp. 409-413, 1948. S. C. McCutcheon, <i>Water Quality Modeling, Vol. I: Transport and Surface Exchange in Rivers</i>, CRC Press, Boca Raton, Florida, 1989. H. A. Thomas, <i>Hydrology and Oxygen Economy in Stream Purification</i>, seminar on Waste Water Treatment and Disposal, Boston Society of Civil Engineers, Boston, Massachusetts, 1957. J. C. Young and J. W. Clark, Second Order Equation for BOD, <i>Journal of the Sanitary Engineering Division Proceedings of the American Society of Civil Engineering</i>, 91:SA1, pp. 43-57, 1965. T. A. Butts and V. Kothandaraman, <i>Fitting First and Second Order BOD Reaction Equations to Stream Data, Water and Sewage Works</i>, 117:8, pp. 276-278, 1970. D. M. Marske and L. B. Polkowski, Evaluation of Methods for Estimating Biochemical Oxygen Demand Parameters, <i>Journal of Water Pollution Control Federation</i>, 44:10, pp. 1987-1999, 1972. N. L. Nemerow, <i>Scientific Stream Pollution Analysis</i>, McGraw-Hill, New York, 1974. T. H. Y. Tebbutt and M. Berkun, Respirometric Determination of BOD, <i>Water Research</i>, 10, pp. 613-617, 1976. D. D. Adrian and T. G. Sanders, Oxygen Sag Equation for Second Order BOD Kinetics, <i>Water Research</i>, 32:3, pp. 840-848, 1998. T. V. Le, E. M. Roider, and D. D. Adrian, Simplified Development of Oxygen Sag Model, <i>Journal of Environmental Systems</i>, 30:2, pp. 135-145, 2003. S. L. Ponce, The Biochemical Oxygen Demand of Finely Divided Logging Debris in Stream Water, <i>Water Resources Research</i>, 10:5, pp. 983-988, 1974. D. M. Bates and D. G. Watts, <i>Nonlinear Regression Analysis and Its Applications</i>, John Wiley and Sons, Inc., New York, 1988. D. D. Adrian, E. M. Roider, and T. G. Sanders, Oxygen Sag Models for Multiorder Biochemical Oxygen Demand Reactions, <i>Journal of Environmental Engineering</i>, 130:7, pp. 784-791, 2004. J. Hewitt, J. V. Hunter, and D. Lockwood, A Multiorder Approach to BOD Kinetics, <i>Water Research</i>, 13, pp. 325-329, 1979. P. M. Berthouex and L. C. Brown, <i>Statistics for Environmental Engineers</i> (2nd Edition), Lewis Publishers, Boca Raton, Florida, pp. 388-396, 2002. M. E. Borsuk and C. A. Stow, Bayesian Parameter Estimation in a Mixed-Order Model of BOD Decay, <i>Water Research</i>, 34:6, pp. 1830-1836, 2000. M. G. Rodriguez, Calculus of the Biochemical Oxygen Demand of Effluents with Xenobiotics, <i>Journal of Environmental Science and Health, Part a: Toxic/Hazardous Substances & Environmental Engineering</i>, 34:4, pp. 879-897, 1999. T. V. Thomann, <i>Systems Analysis and Water Quality Management</i>, McGraw-Hill, New York, 1972. G. Tchobanoglous and E. D. Schroeder, <i>Water Quality: Characteristic, Modeling, Modification</i>, Addison-Wesley Publishing Co., Reading, Massachusetts, 1985.