TECHNICAL PAPERS
Sep 1, 1994

Effect of Flow Velocity on Sediment Oxygen Demand: Theory

Publication: Journal of Environmental Engineering
Volume 120, Issue 5

Abstract

A model of sediment oxygen demand (SOD) is presented that relates the SOD to flow velocity over the sediment. Previous analyses emphasize, almost exclusively, the relationship between SOD and sediment composition, i.e., their chemistry and biology. Herein a quantitative relationship is established between SOD and the velocity and dissolved oxygen concentration in the bulk water. Oxygen consumption in the sediment is expressed as the sum of biological consumption with Michaelis‐Menten kinetics, and the chemical consumption assumed to be a first order reaction of oxygen. At very low flow velocities, transport through the diffusive water boundary layer is the limiting factor of SOD, and SOD is expressed as a linear increasing function of velocity. On the other hand, when flow velocities are increased, SOD becomes independent of velocity, since the reactions in the sediment become rate‐limiting. The model also suggests that SOD is an increasing function of dissolved oxygen concentration in the water overlying the sediment. Combined with the linear theory of internal seiche motion, an average SOD in a rectangular, two‐layered lake is derived as a function of the wind velocity, aspect ratio of the lake and the depth of the thermocline. The average SOD has a minimum when the thermocline depth is one‐quarter of the total depth.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Belanger, B. T. (1981). “Benthic oxygen demand in Lake Apopka, Florida.” Water Res., 15, 267–274.
2.
Berelson, W. M., and Hamond, D. E. (1992). “Sediment oxygen demand measurements using benthic flux channels.” Proc. U.S. Army Corps of Engrs. Workshop on Sediment Oxygen Demand, C. Cerco, D. Gunnison, and C. B. Price, eds., Environmental Laboratory, Waterways Experiment Station, Corps of Engineers, Vicksburg, Miss., 153–167.
3.
Bouldin, D. R. (1968). “Methods for describing the diffusion of oxygen and other mobile constituents across the mud‐water interface.” J. Ecology, 56, 77–87.
4.
Boynton, W. R., Kemp, W. M., Osborne, C. G., Kaumeyer, K. R., and Jenkins, M. C. (1981). “Influence of water circulation rate on in situ measurements of benthic community respiration.” Marine Biology, 65, 185–190.
5.
Burns, N. M. (1970). “Oxygen depletion in the central and eastern basins of Lake Erie.” J. Fish. Res. Board, Canada, 33, 512–519.
6.
Cerco, C., Gunnison, D., and Price, C. B., eds. (1992). Proc., U.S. Army Corps of Engrs. Workshop on Sediment Oxygen Demand, Environmental Laboratory, Waterways Experiment Station, Corps of Engineers, Vicksburg, Miss.
7.
Dale, T. (1978). “Total chemical and biological oxygen consumption of the sediment in Lindaspollene, Western Norway.” Marine Biology, 49, 333–341.
8.
Davis, W. S., and Hendendorf, C. E. (1986). “Regression analysis of Lake Erie's sediment oxygen demand.” Sediment oxygen demand. Processes, modeling and measurement, K. J. Hatcher, ed., University of Georgia Press, Athens, Ga., 235–238.
9.
Dawson, D. A., and Trass, O. (1972). “Mass transfer at rough surfaces.” Int. J. Heat Mass Transfer, 15, 1317–1336.
10.
Deissler, R. G. (1951). “Investigation of turbulent flow and heat transfer in smooth tubes, including the effects of variable fluid properties.” Trans. ASME, 73(1), 101–105.
11.
Deissler, R. G. (1954). “Heat transfer and fluid friction for fully developed turbulent flow of air and supercritical water with variable fluid properties.” Trans. ASME, 76(1), 73–86.
12.
DiToro, D. M., Paquin, P. R., Subburamu, K., and Gruber, D. A. (1990). “Sediment oxygen demand model: Methane and ammonia oxidation.” J. Envir. Engrg., ASCE, 116(5), 945–986.
13.
Eckert, E. R. G., and Drake, R. M. Jr. (1972). Analysis of heat and mass transfer. McGraw Hill, New York, N.Y.
14.
Edwards, R. W., and Polley, H. L. J. (1965). “Oxygen consumption of river muds.” J. Ecology, 53(1), 1–19.
15.
Ellis, C. R., and Stefan, H. G. (1989). “Oxygen demand in ice covered lakes as it pertains to winter aeration.” Water Resour. Bull., 25(6), 1169–1176.
16.
Gundersen, J. K., and Joergensen, B. B. (1990). “Microstructure of diffusive boundary layers and the oxygen uptake of the sea floor.” Nature, 345, 604–607.
17.
Hanes, N. B., and Irvine, R. L. (1968). “New techniques for measuring oxygen uptake rates of benthic systems.” J. Water Pollution Control Federation, 40, 223–232.
18.
Hargrave, B. T. (1973). “Coupling carbon flow through some pelagic and benthic communities.” J. Fish Res. Board, Canada, 30, 1317–1326.
19.
Hicks, D. B. (1992). “EPA Region IV perspective on SOD.” Proc. U.S. Army Corps of Engrs. Workshop on Sediment Oxygen Demand, C. Cerco, D. Gunnison, and C. B. Price, eds., Environmental Laboratory, Waterways Experiment Station, Corps of Engineers, Vicksburg, Miss., 110–119.
20.
Janke, R. A. (1990). “Chamber measurements of benthic metabolism: Insights from deep seafloor studies.” Proc. U.S. Army Corps of Engrs. Workshop on Sediment Oxygen Demand, Waterways Experiment Station, Corps of Engineers, Vicksburg, Miss., 120–136.
21.
Joergensen, B. B., and DesMarais, D. J. (1990). “The diffusive boundary layer of sediments: Oxygen microgradients over a microbial mat.” Limnology and Oceanography, 35(6), 1343–1355.
22.
Joergensen, B. B., and Fenchel, T. (1974). “The sulfur cycle of a marine sediment model system.” Marine Biology, 24, 189–201.
23.
Joergensen, B. B., and Revsbech, N. P. (1985). “Diffusive boundary layers and oxygen uptake of sediments and detritus.” Limnology and Oceanography, 30(1), 111–122.
24.
Katto, Y. (1964). An introduction to heat transfer. Yokendo, Tokyo, Japan.
25.
Matias, J. A., and Barica, J. (1980). “Factors controlling oxygen depletion in ice‐covered lakes.” Canadian J. Fish. Aqua. Sci., 37, 185–194.
26.
Monin, A. S., and Yaglom, A. M. (1965). Statistical fluid mechanics, M.I.T. Press, Cambridge, Mass.
27.
Officer, C. B., Biggs, R. B., Taft, J. T., Cronin, L. E., Tyler, M. A., and Boynton, W. R. (1984). “Chesapeake Bay anoxia: Origin, development and significance.” Science, 223, 22–27.
28.
Polak, J., and Haffner, G. D. (1978). “Oxygen depletion of Hamilton Harbour.” Water Res., 12(4), 205–215.
29.
Prandtl, L. (1910). “Eine Beziehung zwischen Waermeaustausch und Stroemungswiderstand der Flussigkeiten,” Physicalische Zeitschrift, 11, 1072–1078.
30.
Riley, M. J., and Stefan, H. G. (1988). “MINLAKE: A dynamic lake water quality simulation model.” Ecological Modelling, 43, 155–182.
31.
Shaw, D. A., and Hanratty, T. J. (1977). “Turbulent mass transfer rates to a wall for large Schmidt numbers.” AIChE J., 23(1), 28–37.
32.
Shirozuka, T., Hirata, A., and Murakami, A. (1966). Transport phenomena for chemical engineers. Ohm‐Sha, Tokyo, Japan.
33.
Stefan, H. G. (1992). “Sediment oxygen demand and its effect on winterkill in lakes.” Proc. U.S. Army Corps of Engrs. Workshop on Sediment Oxygen Demand, C. Cerco, D. Gunnison, and C. B. Price, eds., Environmental Laboratory, Waterways Experiment Station, Corps of Engineers, Vicksburg, Miss., 137–142.
34.
Taylor, G. I. (1916). “Conditions at the surface of a hot body exposed to the wind.” British Advisory Committee on Aeronautics Rep., 272, 423.
35.
Thomann, R. V., and Mueller, J. A. (1987). Principles of surface water quality modeling and control, Harper International Edition, Harper and Row, New York, N.Y.
36.
Turner, J. S. (1973). Buoyancy effects in fluids. Cambridge University Press, Cambridge, England.
37.
von Karman, T. (1939). “The analogy between fluid friction and heat transfer.” Trans. ASME, 61, 705–710.
38.
Walker, R. R., and Snodgrass, W. J. (1986). “Model for sediment oxygen demand in lakes,” J. Envir. Engrg., ASCE, 112(1), 25–43.
39.
Wang, Wuncheng (1981). “Kinetics of sediment oxygen demand.” Water Res., 15, 475–482.
40.
Welty, J. R., Wicks, C. E., and Wilson, R. E. (1984). Fundamentals of momentum, heat and mass transfer. Wiley and Sons, New York, N.Y.
41.
Whittemore, R. C. (1992). “Studies on the comparison of in‐situ and laboratory sediment oxygen demand measurement techniques.” Proc. U.S. Army Corps of Engrs. Workshop on Sediment Oxygen Demand, C. Cerco, D. Gunnison, and C. B. Price, eds., Environmental Laboratory, Waterways Experiment Station, Corps of Engineers, Vicksburg, Miss., 100–109.
42.
Zobell, C. E. (1943). “Bacterial utilization of low concentration of organic matter.” J. Bacteriology, 45, 555–564.
43.
Zobell, C. E., and Brown, F. (1944). “Studies on the chemical preservatives of water samples.” J. Marine Res., 5(3), 178–184.

Information & Authors

Information

Published In

Go to Journal of Environmental Engineering
Journal of Environmental Engineering
Volume 120Issue 5September 1994
Pages: 996 - 1016

History

Received: Mar 29, 1993
Published online: Sep 1, 1994
Published in print: Sep 1994

Permissions

Request permissions for this article.

Authors

Affiliations

Yoshiyuki Nakamura
Assoc. Prof., Dept. of Civ. Engrg., Kyushu Univ., 6‐10‐1, Hakozaki, Fukuoka, Fukuoka 812, Japan
Heinz G. Stefan, Member, ASCE
Prof. and Assoc. Dir., St. Anthony Falls Hydr. Lab., Dept. of Civ. and Mineral Engrg., Univ. of Minnesota, Minneapolis, MN 55414

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share