Abstract
One of the most valuable physical characteristics of dams and their reservoirs are area-capacity curves. The main objective of this paper is to substitute the reservoir capacity equation by a more precise dimensionless capacity equation which has fewer unknown parameters and coefficients. This proposed equation has only one unknown dimensionless parameter named “reservoir coefficient” N which should be obtained for each reservoir. The reservoir coefficient equation and reservoir area equation are obtained by differentiating the proposed reservoir capacity equation. The numerical values for N are obtained by using a trial and error procedure to minimize the Sum of Squared Errors (SSEs) of reservoir area and capacity equations and analytical values of N are obtained by deriving reservoir coefficient equation. Also, the results of the new proposed equation and the previous equation are evaluated and compared with each other for 20 reservoirs. In this study, it is concluded that the new proposed equation is more precise and much easier to solve in comparison with the previous one.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Borland, W. M. and Miller, C. R. (1958). “Distribution of sediment in large reservoirs.” J. Hydr. Div., Vol. 84, No. 2, pp. 1587.1–1587.10.
Borland, W. M. and Miller, C. R. (1971). “Riner mechanics.” Reservoir Sedimentation, H. W. Shen, Ed., Water Resources, Fort Collins, Colo.
Mohammadzadeh-Habili, J., Heidarpour, M., Mousavi, S.-F., and Haghiabi, A. H. (2009). “Derivation of reservoir’s area-capacity equation.” J. Hydrol. Eng., Vol. 14, No. 9, pp. 1017–1023.
Shabanlou, S. (2000). Reservoir sedimentation in some dams of Iran with different volumes, MSc Thesis, Isfahan Univ. of Technology, Isfahan, Iran (in Persian with an English abstract).
Strand, R. I. and Pemberton, E. L. (1982). Resevoir sedimentation, Rep. Prepared for the U.S. Bureau of Reclamation, Technical service center, Bureau of Reclamation’s Sedimentation and River Hydraulics Group, Denver.
U.S. Bureau of Reclamation (1979). Angostura reservoir, sedimentation survey, Technical Service Center, Denver, Colorado.
U.S. Bureau of Reclamation (1985). ACAP85 user’s manual, Technical Service Center, Surface Water Branch, Denver, Colorado.
U.S. Bureau of Reclamation (1987). Design of small dams, 3rd Ed., Technical Service Center, Denver, Colorado, pp. 529–563.
U.S. Bureau of Reclamation (1992). UTE reservoir, sedimentation survey, Technical Service Center, Denver, Colorado.
U.S. Bureau of Reclamation (1993). Pueblo reservoir, sedimentation survey, Technical Service Center, Denver, Colorado.
U.S. Bureau of Reclamation (1994). Boysen reservoir, sedimentation survey, Technical Service Center, Denver, Colorado.
U.S. Bureau of Reclamation (1995). Cascade reservoir, sedimentation survey, Technical Service Center, Denver, Colorado.
U.S. Bureau of Reclamation (1995). Lovewell reservoir, sedimentation survey, Technical Service Center, Denver, Colorado.
U.S. Bureau of Reclamation (1995). Pilot Butte reservoir, sedimentation survey, Technical Service Center, Denver, Colorado.
U.S. Bureau of Reclamation (1996). Webster reservoir, sedimentation survey, Technical Service Center, Denver, Colorado.
U.S. Bureau of Reclamation (2000). Cedar Bluff reservoir, sedimentation survey, Technical Service Center, Denver, Colorado.
U.S. Bureau of Reclamation (2000). Clark Canyon reservoir, sedimentation survey, Technical Service Center, Denver, Colorado.
U.S. Bureau of Reclamation (2002). Pishkun reservoir, sedimentation survey, Technical Service Center, Denver, Colorado.
U.S. Bureau of Reclamation (2002). Willow Creek reservoir, sedimentation survey, Technical Service Center, Denver, Colorado.
U.S. Bureau of Reclamation (2003). Box Butte reservoir, sedimentation survey, Technical Service Center, Denver, Colorado.
U.S. Bureau of Reclamation (2003). Keyhole reservoir, sedimentation survey, Technical Service Center, Denver, Colorado.
U.S. Bureau of Reclamation (2004). Millerton reservoir, sedimentation survey, Technical Service Center, Denver, Colorado.
U.S. Bureau of Reclamation (2004). Nambe Falls reservoir, sedimentation survey, Technical Service Center, Denver, Colorado.
U.S. Bureau of Reclamation (2007). Altus reservoir, sedimentation survey, Technical Service Center, Denver, Colorado.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kaveh, K., Hosseinjanzadeh, H. & Hosseini, K. A new equation for calculation of reservoir’s area-capacity curves. KSCE J Civ Eng 17, 1149–1156 (2013). https://doi.org/10.1007/s12205-013-0230-3
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12205-013-0230-3