Multigoal Water Quality Planning Model

by David E. Pingry, Visiting Asst. Prof. of Economic factors; Krannert Grad. School of Industrial Administration, Purdue Univ., West Lafayette, IN,
Andrew B. Whinston, Prof. of Economic factors and Industrial Management; Krannert Grad. School of Industrial Management, Purdue Univ., West Lafayette, IN,

Serial Information: Journal of the Environmental Engineering Division, 1973, Vol. 99, Issue 6, Pg. 909-922

Document Type: Journal Paper


A nonlinear programming river basin model is presented which can be solved for the least-cost combination of treatment strategies to meet some predetermined quality goals. The model presented is unique in two respects: (1) the interaction of temperature and dissolved oxygen levels is explicitly modeled; and (2) five alternative treatment strategies are examined. Although both the behavior of thermal and oxygen demanding wastes have been modeled in a river, they are always modeled independently even though it is well known that the level of the temperature affects the rates of oxidation reactions and the saturation level of oxygen. In the model presented these relations are explicitly assumed. The treatment strategies examined simultaneously are on-site treatment, regional treatment, by-pass piping, flow augmentation, and cooling towers.

Subject Headings: Water quality | Heat treatment | Thermal analysis | Hydrologic models | Rivers and streams | Temperature effects | Dissolved oxygen | Oxygen demand

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