Physical hydraulic modeling of gabion stepped weirs with upstream blockage

Document Type : Research Article

Authors

1 phd student

2 USB

3 Agriculture and Natural Resources Research and Education Center

4 Professor, Shahid Chamran University of Ahvaz, Ahvaz, Iran

Abstract

Stepped spillways are one of the types of weirs used in waterway systems. This structure is used to discharge measurement, energy dissipation, and water aeration. Due to engineers' tendency towards environmental sustainability and not manipulating natural landscapes, porous spillways made of stone in the form of gabions are a suitable alternative to impermeable concrete spillways. These spillways have technical, economic, environmental, and hydraulic priorities compared to conventional concrete stepped spillways. Porous spillways are a suitable alternative to the usual concrete spillways in water transmission and distribution systems due to their high hydraulic and technical performance on the one hand and negligible negative environmental impact on the other hand.
In this research, the hydraulic performance of the porous stepped spillway under free flow conditions has been investigated in a laboratory manner. This research investigates the effect of different variables including flow rate, upstream blockage, and porosity, on the discharge coefficient of the porous spillway. The materials used in the porous spillway were selected from four gradations between 1.13 and 4 cm with a uniformity coefficient close to 1. Each porous spillway was tested for seven blockages between zero and 100%. Also, the results were compared with a solid stepped spillway model with and without blockage. In the following, it has been extracted to present the empirical relationship of the discharge coefficient in these spillways under blockage conditions, using the dimensional analysis of effective dimensionless parameters under free flow conditions.
Finally, in the final part, based on the dimensional analysis, two empirical relationships are presented using SPSS and GEP (gene-expression programming) for calculating the free flow discharge coefficient for porous stepped spillways.
The results showed that the free flow discharge coefficient increases with the size of the filling material. The percentage increase in discharge coefficient for porous stepped spillways is approximately 34 to 230% higher than that of solid spillways. Unlike solid spillways, whose free flow discharge coefficient increases with increasing the flow rate, in porous stepped spillways, the trend of free flow discharge coefficient changes in low flow rates is downward. With an increasing flow rate, it gradually becomes horizontal and then increases with a slight slope. As the blockage increases, the flow coefficient in the porous stepped spillway gradually decreases. In blockages above 80%, the flow coefficient of the porous stepped spillway is insignificantly different from the solid stepped spillway. In the solid stepped spillway, in the percentage of obstructions below 80%, the obstacle does not affect the free discharge coefficient. The presence of blockage upstream of the porous stepped spillways sometimes reduces the discharge coefficient by more than 70%. The extraction of empirical relationships based on the GEP meta-heuristic model has higher accuracy than those extracted from the nonlinear multivariate regression using SPSS. The average error of the relation of the GEP porous stepped spillway free discharge coefficient was 4%, and the nonlinear multivariate regression model was 7%.

Keywords


Biabani, R. Salmasi, F. Nouri, M. and Abraham, J. (2022). Flow over embankment gabion weirs in free flow conditions. Journal of Hydro-environment Research, 44, 65-76.‏
Fathi-Moghaddam, M., Tavakol Sadrabadi M. and Rahmanshahi M. (2018). Numerical simulation of the hydraulic performance of triangular and trapezoidal gabion weirs in free flow condition. Flow Measurement and Instrumentation, 62 (2018), 93–104.
Ferreira, C. (2001a). Gene expression programming in problem solving. Proceedings of the 6th Online World Conf. on Soft Computing in Industrial Applications, 635-653.
Ferreira, C. (2001b). Gene expression programming: A new adaptive algorithm for solving problems. Complex Systems, 13(2), 87-129.
Fritz, H.M. and Hager, W.H. (1998). Hydraulics of embankment weirs. Journal of Hydraulic Engineering, 124(9), 963-971.
Hager, W. and Schwalt, M. (1994). Broad crested weir. Journal of Irrigation and Drainage Engineering, 120(1), 13–26.
Kells, J.A. (1993). Spatially varied flow over rockfill embankments. Canadian Journal of Civil Engineering, 20(5), 820–827.  
Kells, J.A. (1994). Reply on discussion of spatially varied flow over rockfill embankments. Canadian journal of civil engineering, 21(1), 163–166.
Leu, J.M., Chan, H.C. and Chu, M.S. (2008). Comparison of turbulent flow over solid and porous structures mounted on the bottom of a rectangular channel. Flow Measurement and Instrumentation, 19(6), 331-337.
Michioku, K., Maeno, S., Furusawa, T. and Haneda, M. (2005). Discharge through a permeable rubble mound weir. Journal of Hydraulic Engineering, 131(1), 1–10.
Mohamed, H. (2010). Flow over gabion weirs. Journal of Irrigation and Drainage Engineering, 136(8), 573-577.
Mohammadpour, R., Ghani, A.A. and Azamathulla, H.M.  (2013). Numerical modeling of 3-D flow on porous broad crested weirs. Applied Mathematical Modelling, 37(22), 9324-9337.
Rahmanshahi, M. and Shafai Bejestan, M. (2020). Gene-Expression Programming Approach for Development of a Mathematical Model of Energy Dissipation on Block Ramps. Journal of Irrigation and Drainage Engineering, 146(2), 04019033.‏
Roushangar, K., Akhgar, S., Salmasi, F. and Shiri, J. (2014). Modeling energy dissipation over stepped spillways using machine learning approaches, Journal of Hydrology, 508, 254-265.
Safarzadeh, A. and Mohajeri. S.H. (2018). Hydrodynamics of rectangular broad-crested porous weirs. Journal of Irrigation and Drainage Engineering, 144(10), 04018028, https://doi.org /10.1061/(ASCE)IR.1943-4774.0001338.
Salmasi, F. and Taghi Sattari, M. (2017). Predicting Discharge Coefficient of Rectangular Broad-Crested Gabion Weir Using M5 Tree Model. Iranian Journal of Science and Technology, Transactions of Civil Engineering, 41(2), 205-2012.
Salmasi, F., Sabahi, N. and Abraham J. (2021). Discharge Coefficients for Rectangular Broad-Crested Gabion Weirs: Experimental Study. Journal of Irrigation and Drainage Engineering, 147(3), 04021001, https://doi.org/10.1061/(ASCE)IR.1943-4774.0001535.
Shariq, A., Hussain, A. and Ahmad, Z. (2020). Discharge equation for the gabion weir under through flow condition. Flow Measurement and Instrumentation, 74, 101769, https://doi.org/10. 1016/j.flowmeasinst.2020.101769.
Shariq, A. Hussain, A. and Ahmad, Z. (2022). Flow over gabion weir under free and submerged flow conditions. Flow Measurement and Instrumentation, 102199, https://doi.org/10.1016/j.flowmeasinst. 2022.102199.