Abstract
This paper presents numerical modeling methods to predict long term reservoir sedimentation. The Generalized Stream Tube computer models for Alluvial River Simulation version 3.0 (GSTARS3) model which has capability of semi-two dimensional hydraulic computation and sediment routing by using stream tube concept combined with the theory of minimum stream power was implemented. In GSTARS3, non-equilibrium sediment transport equation is incorporated in accounting for the reservoir sedimentation processes. Capability of numerical simulation with and without applying stream tube concept, theory of minimum stream power, and non-equilibrium sediment transport equation was evaluated with nine years of sedimentation in the Kardeh Reservoir, Iran, and the best combinations of theories were investigated in this study. Simulated thalweg profile and channel geometry were compared to the measured results. From the comparisons, non-equilibrium sediment transport equation is preferably recommended method to predict reservoir sedimentation. The application of theory of minimum stream power improved the performance of model predictions significantly. In addition, simulations with three stream tubes were slightly better than the one with five stream tubes. Numerical simulations indicated that a semi-two dimensional modeling with non-equilibrium sediment transport equation, three stream tubes, and theory of minimum stream power is applicable to a long term prediction of reservoir sedimentation.
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References
Ackers, P. and White, W. R. (1973). “Sediment transport: New approach and analysis.” Journal of the Hydraulic Division. ASCE, Vol. 99, No. HY11, Proceeding Paper 10167, pp. 2041–2060, DOI: 00204532.
Ahn, J. and Yang, C. T. (2013). “Simulation of lateral migration of all American canal with semi-two dimensional sediment transport model.” KSCE Journal of Civil Engineering, KSCE, Vol. 18, No. 6, pp. 1896–1903, DOI: 10.1007/s12205-014-0311-y.
Armanini, A. and Di Silvio, G. (1988). “A one-dimensional model for the transport of a sediment mixture in non-equilibrium condition.” Journal of Hydraulic Research, Vol. 26, No. 3, pp. 275–92, DOI: 10.1080/00221688809499212
ASCE (1982). “Relationships between morphology of small streams and sediment yield.” Journal of the Hydraulic Division, ASCE, Vol. 108, No. HY11, Proceeding Paper 17450, pp. 1328–1365.
Bagnold, R. A. (1966). An approach to the sediment transport problem from general physics, U.S. Geological Survey Professional Paper 422-J.
Chen, D., Acharya, K., and Stone, M. (2010). “Sensitivity analysis of nonequilibrium adaptation parameters for modeling mining-pit migration.” Journal of Hydraulic Engineering, ASCE, Vol. 136, No. 10, pp. 806–811, DOI: 10.1061/(ASCE)HY.1943-7900.0000242
Einstein, H. A. (1950). The bed-load function for sediment transportation in open channel flows, U.S. Department of Agriculture, Soil Conservation Service, Technical Bulletin No. 1026.
Engelund, F. and Hansen, E. (1967). A monograph on sediment transport in alluvial streams, Teknisk Forlag, Copenhagen, Denmark.
Han, Q. (1980). “A study on the nonequilibrium transportation of suspended load.” Proceedings of the International Symposium on River Sedimentation, Beijing, China, pp. 793–802. (in Chinese).
Han, Q. and He, M. (1990). “A mathematical model for reservoir sedimentation and fluvial processes.” International Journal of Sediment Research, Vol. 5, No. 2, pp. 43–4.
Julien, P. Y. (1998). Erosion and sedimentation, Cambridge University Press, Cambridge, UK.
Laursen, E. M. (1958). “The total sediment load of streams.” Journal of the Hydraulic Division, ASCE, Vol. 84, No. HY1, pp. 1530-1-1530-36.
Meyer-Peter, E. and Müller, R. (1948). “Formula for bed-load transport.” Proceeding of the International Association for Hydraulic Research, 2nd Meeting, Stockholm.
Molinas, A. and Yang, C. T. (1985). “Generalized water surface profile computations.” Journal of Hydraulic Engineering, ASCE, Vol. 11, No. 3, pp. 381–397, DOI: 10.1061/(ASCE)0733-9429(1985)111:3(381)
Molinas, A. and Yang, C. T. (1986). Computer program user’s manual for GSTARS (Generalized Stream Tube model for Alluvial River Simulation), Technical Service Center, U.S. Bureau of Reclamation, Denver, Colorado, USA.
Morris, G. L. and Hu, G. (1992). “HEC-6 modeling of sediment management in Loíza Reservoir, Puerto Rico. Hydraulic Engineering: Saving a threatened resource–in search of solutions.” Proceedings of the Hydraulic Engineering Sessions at Water Forum ′92, ASCE, pp. 630–635.
Morris, G. L. and Fan, J. (1997). Reservoir sedimentation handbook: Design and management of dams, reservoir, and watersheds for sustainable use, McGraw Hill, New York, USA.
Papanicolaou, A. N., Elhakeem, M., Prakash, S., and Edinger, J. (2008). “Forum of sediment transport modeling review–Current and future development.” Journal of Hydraulic Engineering, ASCE, Vol. 134, No. 1, pp. 1–14, DOI: 10.1061/(ASCE)0733-9429(2008)134:1(1).
Qishun, Z. (1980). “Diffusion process of sediment in open channel and its application.” Journal of Sediment Research, pp. 37–52.
U.S. Army Corps of Engineers (1991). HEC-6 scour and deposition in rivers and reservoirs, user’s manual, Hydrologic Engineering Center, Davis, California, USA.
White, W. R. (2001). Evacuation of sediments from reservoirs, Thomas Telford Publishing, London, UK, DOI: 10.1080/00221689909498530.
Wang, Z. (1999). “Experimental study on scour rate and river bed inertia.” Journal of Hydraulic Research, Vol. 37, No. 1, pp. 17–37.
Yalin, M. S. (1963). “An expression for bed-load transport.” Journal of Hydraulic Division, ASCE, Vol. 89. No. HY3. pp. 221–250.
Yang, C. T. (1971). “Potential energy and stream morphology.” Water Resources Research, AGU, Vol. 7, No. 2, pp. 311–322, DOI: 10.1029/WR007i002p00311
Yang, C. T. (1973) “Incipient motion and sediment transport.” Journal of the Hydraulics Division, ASCE, Vol. 99, No. HY10, Proceeding Paper 10067, pp. 1679–1704.
Yang, C. T. (1976). “Minimum unit stream power and fluvial hydraulics.” Journal of the Hydraulic Division, ASCE, Vol. 102, No. HY7, pp. 919–934.
Yang, C. T. (1984). “Unit stream power equation for gravel.” Journal of the Hydraulic Division, ASCE, Vol. 110, No. HY12, pp. 1783–1797, DOI: 10.1061/(ASCE)0733-9429(1984)110:12(1783).
Yang, C. T. (1996). Sediment transport: Theory and practice, McGraw-Hill Companies, Inc., New York, USA (reprint by Krieger Publishing Company, 2003).
Yang, C. T. and Song, C. C. S. (1979). “Theory of minimum rate of energy dissipation.” Journal of the Hydraulics Division, ASCE, Vol. 105, No. HY7, pp. 769–784.
Yang, C. T. and Song, C. C. S. (1986). “Theory of minimum energy and energy dissipation rate.” Encyclopedia of Fluid Mechanics, Vol. 1, Chapter 11, Gulf Publishing Company, N.P. Cheremisinoff (ed.), pp. 353–399.
Yang, C. T. and Simões, F. J. M. (2002). User’s Manual for GSTARS3 (Generalized Sediment Transport model for Alluvial River Simulation version 3.0), Technical Service Center, U.S. Bureau of Reclamation, Denver, Colorado, USA.
Yang, C. T. and Simões, F. J. M. (2008). “GSTARS computer models and their application, part I: Theoretical development.” International Journal of Sediment Research, Vol. 23, No. 3, pp. 197–211, DOI: 10.1016/S1001-6279(08)60019-0
Yang, C. T. and Marsooli, R. (2010). “Recovery factor for non-equilibrium sedimentation processes.” Journal of Hydraulic Research, Vol. 48, No. 3, pp. 409–413, DOI: 10.1080/00221686.2010.481842
Yen, H., Bailey, R. T., Arabi, M., Ahmadi, M., White, M. J., and Arnold, J. G. (2014a). “The role of interior watershed processes in improving parameter estimation and performance of 5, pp. 1601–1613, DOI: 10.2134/jeq2013.03.0110
Yen, H., Wang, X., Fontane, D. G., Harmel, R. D., and Arabi, M. (2014b). “A framework for propagation of uncertainty contributed by input data, parameterization, model structure, and calibration/validation data in watershed modeling.” Environmental Modelling and Software, Vol. 54, pp. 211–221, DOI: 10.1016/j.envsoft.2014.01.004
Zhou, J. and Lin, B. (1995). “2-D mathematical model for suspended sediment-part I: Model theory and validations.” Journal of Basic Science and Engineering, Vol. 3, No. 1, pp. 78–98.
Zhou, J. and Lin, B. (1998). “One-dimensional mathematical model for suspended sediment by lateral integration.” Journal of Hydraulic Engineering, ASCE, Vol. 124, No. 7, pp. 712–717, DOI: 10.1061/(ASCE)0733-9429(1998)124:7(712)
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Ahn, J., Yen, H. Semi-two dimensional numerical prediction of non-equilibrium sediment transport in reservoir using stream tubes and theory of minimum stream power. KSCE J Civ Eng 19, 1922–1929 (2015). https://doi.org/10.1007/s12205-014-0098-x
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DOI: https://doi.org/10.1007/s12205-014-0098-x