Modeling of the Dissolved Oxygen in a River with Storage Zone on the Banks

Nitash Kaushik, Babita Tyagi, Girija Jayaraman

Asistant Prof. (Department of Mathematics), Accurate Institute of Management and Technology, Greater Noida, Gautambudh Nagar (U.P.) INDIA.
Professor& Head (Department of Mathematics), Galgotia’s University, Greater Noida, Gautambudh Nagar (U.P.), INDIA.
Professor, Centre for Atmospheric Sciences, Indian Institute of Technology (IIT) Delhi, INDIA.

DOI: 10.4236/am.2012.37103                

Abstract

The prediction of water quality in terms of variables like dissolved oxygen (DO), biochemical oxygen demand (BOD), pH value, total dissolved solids (TDS) and salinity etc. is useful for evaluating the use of water for various related purposes. The widely used Streeter and Phelps models for computing biochemical oxygen demand and its impact on dissolved oxygen do not account for the settleable component of BOD and related implications. The model also does not account for the impact of storage zone on the stream’s DO. In the present work an attempt is made to develop a model which simultaneously accounts for the settleable component of BOD and the effect of storage zones onriver’s DO. An application of the model to real field data suggests that the cumulative impact of settleable BOD and presence of storage zone in the river is to shift the critical deficit closer to the point source and magnify its amount.

Keywords

Mathematical Modeling; Dissolvedoxygen; Biochemical Oxygen Demand; Main Zone; Storage Zone

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	H. W. Streeter and E. B. Phelps, “A study of the Pollution and Natural Purification of the Ohio Rivers,” US Public Health Service Bulletin No.146, 1925.
[2]	G. M. Fair, “The Dissolved Oxygen Sag—An Analysis,” Sewage Works Journal, Vol. 11, No. 3, 1939, p. 445.
[3]	D. S. Bhargava, “Most Rapid BOD Assimilation in Ganga and Yamuna Rivers,” Journal of Environmental Engineering, Vol. 109, No. 1, 1983, pp. 174-187. doi:10.1061/(ASCE)0733-9372(1983)109:1(174)
[4]	D. S. Bhargava, “Models for Polluted Streams Subject to Fast Purification,” Water Research, Vol. 20, 1986, pp. 1-8.
[5]	D. S. Bhargava, “DO Sag Model for Extremely Fast River Purification,” Journal of Environmental Engineering, Vol. 112, 1986, pp. 572-585.
[6]	B. Tyagi, S. Gakkhar and D. S. Bhargava, “Mathematical Modeling of Stream DO-BOD Accounting for Settleable BOD and Periodically Varying BOD Source,” Environmental Software, Vol. 14, 1999, pp. 461-471.
[7]	S. C. Chapra and R. L. Runkel, “Modeling Impact of Storage Zones on Stream Dissolved Oxygen,” Journal of Environmental Engineering, Vol. 125, No. 5, 1999, pp. 415-419. doi:10.1061/(ASCE)0733-9372(1999)125:5(415)
[8]	E. L. Thacksten and K. B. Schnelle, “Predicting Effects of Dead Zone on Stream Mixing,” Sanitary Engineering, Vol. 96, 1970, pp. 319-331.
[9]	M. N. Gooseff, “Determining in Channel (Dead Zone) Transient Storages by Solute Transport in a Bedrock Channel-Alluvial Channel, Sequence Oregon,” Water Resource Research, Vol. 41, 2005, W06014. doi:10.1029/2004WR003513
[10]	J. C. Rutherford, “River Mixing,” Wiley, New York, 1994.
[11]	K. E. Bencala and R. A. Walters, “Simulation of Solute Transport in a Mountain Pool-and-Riffle Stream: A Transient Storage Model,” Water Resource Research, Vol. 19, No. 3, 1983, pp. 718-724. doi:10.1029/WR019i003p00718
[12]	B. H. Schmid, “On the Transient Storage Equations for Longitudinal Solute Transport in Open Channels: Temporal Moments Accounting for the Effects of First-Order Decay,” Hydraulic Research, Vol. 33, No. 5, 1995, pp. 595-609. doi:10.1080/00221689509498559
[13]	R. L. Runkel, “One Dimensional Transport with Inflow and Storage (OTIS): A Solute Transport Model for Streams and Rivers,” US Geological Survey, Water Resources Investigation Report 98-4018, 1998, pp. 73.
[14]	S. K. Singh, “Treatment of Stagnant Zone in Riverine Advection Dispersion,” Journal of Hydraulic Engineering, Vol. 129, No. 6, 2003, pp. 470-473. doi:10.1061/(ASCE)0733-9429(2003)129:6(470)