Investigating the effect of buried walls through rockfill detention structures on the longitudinal water surface profile

Document Type : Research Paper

Authors

Department of Civil Engineering, University of Maragheh, Maragheh, Iran.

Abstract

Rockfill structures in river training projects, such as detention dams, gabions, and levees, play a significant role in flood control. One of the common types of these structures is porous flood mitigation dams. This research investigated the surface flow profile by developing an analytical model based on specific energy relationships and Wilkins pore velocity and employing numerical methods based on estimation and correction methods. In order to examine the efficiency of the presented models, experiments were performed both with and without buried inside walls through rockfill media. The results show the accuracy and efficiency of analytical and numerical methods for calculating the water surface profile. In order to apply these methods in the experiments including buried curtain, the profile is divided into two parts, and the computations were done by considering two boundary conditions at the outlet and the buried wall position. Quantitatively, the root mean square error (RMSE) ranged from 3 to 5.5 mm, with a relative error between 3 and 9.3%. The relative error increased with higher core heights, particularly downstream of the core due to local flow acceleration and significant flow curvature. At a flow discharge of 0.19 l/s, the relative error was 3%, rising to 8% at higher flow rates. Therefore, the results indicate the appropriate correlation between the laboratory data and analytical and numerical solutions in the experiments, including wall. It was also observed that with the increase of the entrance discharge, the profile estimation accuracy decreased, and curvature in the surface profile was observed.

Keywords

Main Subjects


  1. Mousavi, S., E. Amiri-Tokaldany, and M. Davoudi, A Relationships to Determine the Critical Hydraulic Gradient and Noncohesive Sediment Transport Discharge in Rockfill Dams. Research journal of Environmental sciences, 2011. 5(5): p. 399.
  2. Mohamadiha, A., et al., Numerical and Experimental Study of the Unsteady Flow with Different Distance Steps in Body of Rockfill Dam. Iranian Journal of Irrigation & Drainage, 2018. 11(6): p. 1152-1161.
  3. Chabokpour, J. and E. Amiri Tokaldany, Experimental-numerical simulation of longitudinal water surface profile through large porous media. Iranian Water Researches Journal, 2017. 11(3): p. 81-90.
  4. Acharya, R.C., S.E. van der Zee, and A. Leijnse, Porosity–permeability properties generated with a new 2-parameter 3D hydraulic pore-network model for consolidated and unconsolidated porous media. Advances in water resources, 2004. 27(7): p. 707-723.
  5. Constantinides, G.N. and A.C. Payatakes, Network simulation of steady‐state two‐phase flow in consolidated porous media. AIChE Journal, 1996. 42(2): p. 369-382.
  6. Fischer, U. and M.A. Celia, Prediction of relative and absolute permeabilities for gas and water from soil water retention curves using a pore‐scale network model. Water Resources Research, 1999. 35(4): p. 1089-1100.
  7. Held, R.J. and M.A. Celia, Pore‐scale modeling extension of constitutive relationships in the range of residual saturations. 2001, Wiley Online Library.
  8. Herrera, N. and G. Felton, Hydraulics of flow through a rockhll dam using sediment-free water. Transactions of the ASAE, 1991. 34(3): p. 871-0875.
  9. Hosseini, S.M. and D. Joy, Development of an unsteady model for flow through coarse heterogeneous porous media applicable to valley fills. International Journal of River Basin Management, 2007. 5(4): p. 253-265.
  10. Hansen, D., V.K. Garga, and D.R. Townsend, Selection and application of a one-dimensional non-Darcy flow equation for two-dimensional flow through rockfill embankments. Canadian Geotechnical Journal, 1995. 32(2): p. 223-232.
  11. Jeannin, P.Y., Modeling flow in phreatic and epiphreatic karst conduits in the Hölloch cave (Muotatal, Switzerland). Water Resources Research, 2001. 37(2): p. 191-200.
  12. Li, B., V.K. Garga, and M.H. Davies, Relationships for non-Darcy flow in rockfill. Journal of hydraulic Engineering, 1998. 124(2): p. 206-212.
  13. Stephenson, D., Rockfill in hydraulic engineering. 1979: Elsevier.
  14. Chabokpour, J., Application of hybrid cells in series model in the pollution transport through layered material. Pollution, 2019. 5(3): p. 473-486.
  15. Thauvin, F. and K. Mohanty, Network modeling of non-Darcy flow through porous media. Transport in Porous Media, 1998. 31(1): p. 19-37.
  16. Wang, X., F. Thauvin, and K. Mohanty, Non-Darcy flow through anisotropic porous media. Chemical Engineering Science, 1999. 54(12): p. 1859-1869.
  17. Wu, Y.S., An approximate analytical solution for non‐Darcy flow toward a well in fractured media. Water Resources Research, 2002. 38(3): p. 5-1-5-7.
  18. Chabokpour, J., O. Minaei, and M. Dasineh, Derivation of new analytical solution for pollution transport through large porous media. International Journal of Environmental Science & Technology (IJEST), 2020. 17(12).
  19. Bazargan, J., et al., Determination of discharge coefficient of inbuilt spillway in rock-fill dams. 2011.
  20. Wilkins, J., Flow of water through rock fill and its application to the design of dams. New Zealand Engineering, 1955. 10(11): p. 382-387.
  21. Norouzi, H., et al., Estimating output flow depth from Rockfill Porous media. Water Supply, 2021.
  22. Sedghi-Asl, M. and I. Ansari, Adoption of extended Dupuit–Forchheimer assumptions to non-Darcy flow problems. Transport in Porous Media, 2016. 113(3): p. 457-469.
  23. Heydari, M. and Z. Khodakaramian, One-Dimensional Discharge-Stage Theory Relationship Modifying in non-Core Rock fill Dams Using Laboratory Model. Advanced Technologies in Water Efficiency, 2022. 1(1): p. 108-120.
  24. Salahi, M.-B., M. Sedghi-Asl, and M. Parvizi, Nonlinear flow through a packed-column experiment. Journal of Hydrologic Engineering, 2015. 20(9): p. 04015003.
  25. Asiaban, P., E. Amiri Tokaldany, and M. Tahmasebi Nasab, Simulation of water surface profile in vertically stratified rockfill dams. International Journal Of Environmental Research, 2015. 9(4): p. 1193-1200.
  26. Sarvarian, J., J.M.V. Samani, and H.M.V. Samani, Two-objective Optimization of Location and Geometric Characteristics of Rockfill Dams at the Taleghan Basin by NSGA-II. Environmental Energy and Economic Research, 2018. 2(4): p. 281-296.
  27. Zhang, W., et al., A Critical Review of Non-Darcian Flow and Future Challenges. Earth and Space Science Open Archive ESSOAr, 2020.
  28. Reddy, H.P., M.H. Chaudhry, and J. Imran, Computation of gradually varied flow in compound open channel networks. Sadhana, 2014. 39: p. 1523-1545.
  29. Chaudhry, M.H., Open-channel flow. Vol. 523. 2008: Springer.