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Simulations of ice jam thickness distribution in the transverse direction

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Abstract

River ice often forms in the cold regions of northern hemisphere which can lead to ice jams (or ice dams). Water level can be significantly raised due to ice jams. As a consequence, disastrous ice flooding may be resulted, such as the ice jam flooding in the Nechako River in Prince George in winter 2007–2008. In the present study, the equations describing the ice jam thickness in the transverse direction are derived. The impact of the secondary vortex is considered while the cohesive force within ice cubes is neglected in the model. The relationship between the parameter β and the total water depth is established based on the assumption that all other variables except the velocities are kept constant on the same cross section. By using the parameter β and the developed equations, the ice jam thickness in the transverse direction can be predicted. The developed model is used to simulate the ice jam thickness in the transverse direction at the Hequ Reach of the Yellow River in China. The simulated ice jam thicknesses agree well with the field measurements on different cross sections.

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References

  1. SHEN H. T., WANG D. Under cover transport and ac-cumulation of frazil granules[J]. Journal of Hydraulic Engineering, ASCE, 1995, 121(2): 184–195.

    Article  Google Scholar 

  2. SUI J., KARNEY B. and SUN Z. et al. Field investigation of frazil jam evolution–A case study[J]. Journal of Hydraulic Engineering, ASCE, 2002, 128(8): 781–787.

    Article  Google Scholar 

  3. HEALY D., HICKS F. Experimental study of ice jam formation dynamics[J]. Journal of Cold Regions Engineering, 2006, 20(4): 117–139.

    Article  Google Scholar 

  4. BELTAOS S. Discussion of “smoothed particle hydro-dynamics hybrid model of ice-jam formation and release”[J]. Canadian Journal of Civil Engineering, 2010, 37(4): 657–658.

    Article  Google Scholar 

  5. BELTAOS S., TANG P. and ROWSELL R. Ice jam modelling and field data collection for flood forecasting in the Saint John River[J]. Hydrological Processes, 2012, 26(17): 2535–2545.

    Article  Google Scholar 

  6. BELTAOS S., CARTER T. and ROWSELL R. Measurements and analysis of ice breakup and jamming cha-racteristics in the Mackenzie Delta, Canada[J]. Cold Regions Science and Technology, 2012, 82: 110–123.

    Article  Google Scholar 

  7. BELTAOS S. Progress in the study and management of river ice jams[J]. Cold Regions Science and Technology, 2008, 51(1): 2–19.

    Article  Google Scholar 

  8. GHOBRIAL T., LOEWEN M. and HICKS F. Laboratory calibration of upward looking sonars for measuring suspended frazil ice concentration[J]. Journal of Cold Regions Science and Technology, 2012, 70: 19–31.

    Article  Google Scholar 

  9. DOW K., STEFFLER P. and HICKS F. Analysis of the stability of floating ice blocks[J]. Journal of Hydraulic Engineering, ASCE, 2011, 137(4): 412–422.

    Article  Google Scholar 

  10. HICKS F. An overview of river ice problems[J]. Journal of Cold Regions Science and Technology, Special Issue on River Ice, 2009, 55(2):175–185.

    Google Scholar 

  11. LI Zhi-jun, HAN Ming and QIN Jian-min et al. States and advances in monitor of ice thickness change[J]. Advances in Water Science, 2005, 16(5): 753–757(in Chinese).

    Google Scholar 

  12. SUN Zhao-chu, WANG De-sheng and WANG Zhao-xing. The discussion of ice thickness calculation mode-ls[J]. Journal of Hydraulic Engineering, 1985, (1): 54–60(in Chinese).

    Google Scholar 

  13. SUI J., WANG J. and BALACHANDAR R. et al. Accumulation of frazil ice along a river bend[J]. Canadian Journal of Civil Engineering, 2008, 35(2): 158–169.

    Article  Google Scholar 

  14. WANG J., SUI J. and CHEN P. et al. Mechanisms of ice accumulation in a river bend–An experimental study[J]. International Journal of Sediment Research, 2012, 27(4): 521–537.

    Article  Google Scholar 

  15. HEALY D., HICKS F. Experimental study of ice jam thickening under dynamic flow conditions[J]. Journal of Cold Regions Engineering, 2007, 21(3): 72–91.

    Article  Google Scholar 

  16. NOLIN S., ROUBTSOVA V. and MORSE B. Smoothed particle hydrodynamics hybrid model of ice-jam formation and release[J]. Canadian Journal of Civil Engineering, 2009, 36(7): 1133–1143.

    Article  Google Scholar 

  17. SHEN H. T. Mathematical modeling of river ice processes[J]. Cold Regions Science and Technology, 2010, 62(2): 3–13.

    Article  Google Scholar 

  18. WANG Jun, CHEN Pang-pang and JIANG Tao et al. The simulation of ice accumulation under ice cover[J]. Journal of Hydraulic Engineering, 2009, 40(3): 348–354(in Chinese).

    Google Scholar 

  19. WANG Jun, CHEN Pang-pang and SUI Jueyi. Numerical simulation of ice jams in natural channels[J]. Journal of Hydraulic Engineering, 2011, 42(9): 1117–1121(in Chinese).

    Google Scholar 

  20. CARSON R., BELTAOS S. and GROENEVELD J. Comparative testing of numerical models of river ice jams[J]. Canadian Journal of Civil Engineering, 2011, 38(6): 669–678.

    Article  Google Scholar 

  21. BELTAOS S. River ice jams[M]. Highlands Ranch, Colorado, USA: Water Resources Publications, 1995, 105–146.

    Google Scholar 

  22. SHEN Hong-dao. River ice study[M]. Zhengzhou, China: Yellow River Water Conservancy Press, 2010, 67–103(in Chinese).

    Google Scholar 

  23. PARISET E., HAUSSER R. and GAGNON A. Formation of ice covers and ice jams in rivers[J]. Journal of the Hydraulics Division, ASCE, 1966, 92(6): 1–24.

    Google Scholar 

  24. WU Chang-jun. The study of flow field and ice accumulation of ice jams under ice cover in a curved channel[D]. Doctoral Thesis, Hefei, China: Hefei University of Technology, 1993(in Chinese).

    Google Scholar 

  25. SUI J., KARNEY B. and FANG D. Variation in water level under ice-jammed condition–Field investigation and experimental study[J]. Nordic Hydrology, 2005, 36(1): 65–84.

    Article  Google Scholar 

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Correspondence to Jueyi Sui.

Additional information

Project suppotted by the National Natural Science Foundation of China (Grant Nos. 51379054, 50979021).

Biography: WANG Jun (1962-), Male, Ph. D., Professor

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Wang, J., Shi, Fy., Chen, Pp. et al. Simulations of ice jam thickness distribution in the transverse direction. J Hydrodyn 26, 762–769 (2014). https://doi.org/10.1016/S1001-6058(14)60085-8

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  • DOI: https://doi.org/10.1016/S1001-6058(14)60085-8

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