مدل تحلیلی انتقال بار بستر در کانال‌های با شیب تند با رویکرد احتمالاتی آستانه های حرکت

1. Abrahams, A. D. (2003). Bed-load transport equation for sheet flow. Journal of Hydraulic Engineering, 129(2), 159-163.

2. Barati, M. M., Mazaheri, M., & Samani, J. M. V. (2015). One-dimensional pollutant transport model in natural rivers, with emphasis on the role of storage zones. Journal of water and Irrigation Management, 5(2), 169-190. (In Persian).

3. Bose, S. K., & Dey, S. (2013). Sediment entrainment probability and threshold of sediment suspension: exponential-based approach. Journal of Hydraulic Engineering, 139(10), 1099-1106.

4. Cao, Z.(1997). Turbulent Bursting-based sediment entrainment fluctuation. Journal of Hydraulic Engineering, 123(3), 233–236.

5. Chen, X., Ma, J., & Dey, S. (2010). Sediment transport on arbitrary slopes: Simplified model. Journal of Hydraulic Engineering, 136(5), 311-317.

6. Cheng, N.S.,& Chiew,Y.M. (1998). Pickup probability for sediment entrainment. Journal of Hydraulic Engineering, 124(2), 232–235.

7. Damgaard, J. S., Whitehouse, R. J., & Soulsby, R. L. (1997). Bed-load sediment transport on steep longitudinal slopes. Journal of Hydraulic Engineering, 123(12), 1130-1138.

8. Davoodi, L., & Shafai Bejestan, M. (2012). Application of submerged vanes for sediment control at intakes from Irrigation trapezoidal channels. Water and Irrigation Management, 1(2), 59-71. (In Persian).

9. Dey, S. (2003). Threshold of sediment motion on combined transverse and longitudinal sloping beds. Journal of  Hydraulic Research., 41(4), 405–415.

10. Dey, S. (2014). Fluvial hydrodynamics: Hydrodynamic and sediment transport phenomena.  Berlin Heidel berg: Springer-Verlag.

11. Dey, S., & Ali, S. Z. (2017). Mechanics of sediment transport: Particle scale of entrainment to continuum scale of bedload flux. Journal of Engineering Mechanics, 143(11), 04017127.

12. Dwivedi, A., Melville, B. W., Shamseldin, A. Y., & Guha, T. K. (2011). Flow structures and hydrodynamic force during sediment entrainment. Water resources research, 47(1), 1-18.

13. Ebtehaj, I., Bonakdari, H., Safari, M. J. S., Gharabaghi, B., Zaji, A. H., Madavar, H. R., ...& Mehr, A. D. (2020). Combination of sensitivity and uncertainty analyses for sediment transport modeling in sewer pipes. International Journal of Sediment Research, 35(2), 157-170.

14. Einstein, H. A. (1943). Formulas for the transportation of bed load. Transactions on American Society of Civil Engineering, 107(1), 561–577.

15. Einstein, H.A. (1950). The bed-load function for sediment transportation in open channel flows (Technical bulletin number 1026). US Washington, DC: United States Department of Agriculture, Soil Conservation Service.

16. Engelund, F., & Fredsøe J. (1976). A sediment transport model for straight alluvial channels. Nordic Hydrology,7(5), 293-306.

17. Gilbert, G. K. (1914). The transportation of debris by running water. Washington, DC, USA: US Geological Survey.

18. Jafari, N., Mazaheri, M., & Samani, J. M. V. (2019). Analytical evaluation of temporal and spatial sensitivity of longitudinal dispersion coefficient in rivers for unsteady and nonuniform flows. Water and Irrigation Management, 9(1), 155-169. (In Persian).

19. Li, J. D., Sun, J., & Lin, B. (2018). Bed-load transport rate based on the entrainment probabilities of sediment grains by rolling and lifting. International Journal of Sediment Research, 33(2), 126-136.

20. Lim, S. Y., & Cheng, N. S. (1998). Prediction of live-bed scour at bridge abutments. Journal of Hydraulic Engineering, 124(6), 635-638.

21. Meyer-Peter, E., & Müller, R. (1948). Formulas for bed-load transport. In IAHSR 2nd meeting, Stockholm, appendix 2. IAHR.

22. Qasem, S. N., Ebtehaj, I., & Riahi Madavar, H. (2017). Optimizing ANFIS for sediment transport in open channels using different evolutionary algorithms. Journal of Applied Research in Water and Wastewater, 4(1), 290-298.

23. Recking, A., Boucinha, V., & Frey, P. (2004). Experimental study of bed-load grain size sorting near incipient motion on steep slopes. River flow, Napple, 253–258.

24. Riahi-Madvar, H., & Seifi, A. (2018). Uncertainty analysis in bed load transport prediction of gravel bed rivers by ANN / ANFIS. Arabian Journal of Geosciences, 11(21), 688.

25. Rickenmann, D. (1991). Hyper concentrated flow and sediment transport at steep slopes. Journal of hydraulic engineering, 117(11), 1419-1439.

26. Smart, G. M. (1984). Sediment transport formula for steep channels. Journal of Hydraulic Engineering, 110(3), 267-276.

27. Valyrakis, M., Diplas, P., Dancey, C. L., Greer, K., & Celik, A. O. (2010). Role of instantaneous force magnitude and duration on particle entrainment. Journal of Geophysical Research: Earth Surface, 115, 1-18.

28. Van Rijn, L. C. (1984). Sediment transport, part I: bed load transport. Journal of hydraulic engineering, 110(10), 1431-1456.

29. Wang, X., Zheng, J., Li, D., & Qu, Z. (2008). Modification of the Einstein bed-load formula. Journal of Hydraulic Engineering, 134(9), 1363-1369.

30. Wu, F. C., & Chou, Y. J. (2003). Rolling and lifting probabilities for sediment entrainment. Journal of Hydraulic Engineering, 129(2), 110-119.

31. Wu, F. C., & Lin, Y. C. (2002). Pickup probability of sediment under log-normal velocity distribution. Journal of Hydraulic Engineering, 128(4), 438-442.

32. Yalin, M.S.(1977). Mechanics of sediment transport. Oxford, New York: Pergamum Press.