The Oxygen Sag Equation: New properties and a linear equation for the critical deficit
Article first published online: 9 JUL 2010
Copyright 1974 by the American Geophysical Union.
Water Resources Research
Volume 10, Issue 5, pages 921–929, October 1974
How to Cite
1974), The Oxygen Sag Equation: New properties and a linear equation for the critical deficit, Water Resour. Res., 10(5), 921–929, doi:10.1029/WR010i005p00921., , and (
- Issue published online: 9 JUL 2010
- Article first published online: 9 JUL 2010
- Manuscript Received: 9 AUG 1973
In this paper some newly discovered properties of the Streeter-Phelps oxygen sag equation are examined. The convexity of the critical dissolved oxygen (DO) deficit is established, and it is shown that the critical DO deficit can be represented by a conical surface. By using these properties it is shown how to approximate with a high degree of accuracy the critical deficit as a linear function of initial BOD loading and initial oxygen deficit. The linear approximating equation will find use in mathematical programing formulations of water quality management problems.