Effect of Drain Pipes on Uplift Force and Exit Hydraulic Gradient and the Design of Gravity Dams Using the Finite Element Method

Abstract

The effects of diameter and location of drain pipes on the uplift force and exit hydraulic gradient for a gravity dam are investigated. A numerical model of a gravity dam is simulated using the finite element method. The results indicate that drain pipes under a gravity dam reduce the uplift force and exit hydraulic gradient. The optimal location of the drain pipe with respect to reducing uplift force is 0.25 L (where L is the dam width) from the dam heel, and is 0.75 L with respect to the exit hydraulic gradient. In addition, with increasing drain depth, the uplift force first decreases and then increases. The drain pipe diameter has little effect on uplift force and exit hydraulic gradient and thus its selection should depend on other considerations. When the drain pipe is located at its optimum location with respect to minimizing the uplift force, the volume of dam materials is reduced ~ 30–50%.

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Abbreviations

B:

Aquifer thickness (m)

b:

The width of dam crest (m)

D:

The depth of pervious layer (m)

d:

Drain diameter (m)

g:

Gravity acceleration (m/s2)

h:

Water head (m)

Kx, Ky, Kz :

Hydraulic conductivity of porous medium along X, Y, Z

H:

Height of upstream water (m)

Hdam :

Dam height (m)

L:

Width of dam (m)

q:

Discharge per unit length of dam (m2/s)

T:

Time (s)

t:

Walls distance (m)

V:

Dam volume (m3)

Xi :

Longitudinal position of drains

Yi :

Depth of drains

s :

Specific density of concrete (2.4 ton/m3) and

w :

Specific density of water (1 ton/m3

References

  1. Azizi S, Salmasi F, Abbaspour A, Arvanaghi H (2012) Weep hole and cut-off effect in decreasing of uplift pressure (case study: Yusefkand Mahabad diversion dam. J Civ Eng Urban 2(3):97–101

    Google Scholar 

  2. Bolève A, Janod F, Revil A, Lafon A, Fryd JJ (2011) Localization and quantification of leakages in dams using time-lapse self-potential measurements associated with salt tracer injection. J Hydrol 403(3–4):242–252. https://doi.org/10.1016/j.jhydrol.2011.04.008

    Article  Google Scholar 

  3. Chang DTT, Wu JY, Nieh YC (1996) Use of geosynthetics in the uplift pressure relief system for a raft foundation. Recent developments in geotextile filters and prefabricated drainage, geocomposites. ASTM Spec Tech Publ 128:196–221. https://doi.org/10.1520/STP15601S

    Article  Google Scholar 

  4. Chawla AS, Nathi M (1979) Uplift pressures on hollow gravity dams. Hydraul Division, ASCE 105(3):257–273

    Google Scholar 

  5. Chawla AS, Thakur RK, Kumar A (1990) Optimum location of drain in concrete dams. Energy Eng, ASCE. 116(7):930–943

    Google Scholar 

  6. Chen Y, Zhou C, Zheng H (2008) A numerical solution to seepage problems with complex drainage systems. Comput Geotech 35(3):383–393. https://doi.org/10.1016/j.compgeo.2007.08.005

    Article  Google Scholar 

  7. Devey RR, Reich RW, Saouma VE (1994) Uplift modeling for fracture mechanics analysis of concrete dams. J Struct Eng ASCE 120(10):3025–3044

    Article  Google Scholar 

  8. Ebeling RM, Nuss FT, Brand B (2000) Evaluation and comparison of stability analysis and uplift criteria for concrete gravity dams three federal agencies. Army Corps of Engineers, Washington US

    Google Scholar 

  9. Geo-Studio (2012). Version 8.15.11236, User Manual. GEOSLOPE International, Calgary, in, Alberta, Canada.

  10. Hekmatzadeha AA, Zareia F, Joharia A, Torabi Haghighi A (2018) Reliability analysis of stability against piping and sliding in diversion dams, considering four cutoff wall configurations. Comput Geotech 98:217–231. https://doi.org/10.1016/j.compgeo.2018.02.019

    Article  Google Scholar 

  11. Himanshu N, Burman A (2017) Seepage and stability analysis of Durgawati Earthen Dam: a case study. Indian Geotech J. https://doi.org/10.1007/s40098-017-0283-1

    Article  Google Scholar 

  12. Jafari F, Salmasi F, Abraham J (2019) Numerical investigation of granular filter under the bed of a canal. Appl Water Sci 9(137):1–15. https://doi.org/10.1007/s13201-019-1023-8

    Article  Google Scholar 

  13. Kumar V, Samui P, Burman A, Himanshu N (2019) Reliability based slope stability analysis of Durgawati Earthen Dam considering steady and transient state seepage condition using MARS and RVM. Indian Geotech J. https://doi.org/10.1007/s40098-019-00373-7

    Article  Google Scholar 

  14. Liang Y, Yeh TCJ, Wang J, Liu M, Zha Y, Hao Y (2017) An auto-adaptive moving mesh method for the numerical simulation of piping erosion. Comput Geotech 82:237–248. https://doi.org/10.1016/j.compgeo.2016.10.011

    Article  Google Scholar 

  15. Mansuri B, Salmasi F, Oghati B (2014) Effect of location and angle of cutoff wall on uplift pressure in diversion dam. Geotech Geol Eng 32(4):1165–1173. https://doi.org/10.1007/s10706-014-9774-3

    Article  Google Scholar 

  16. Nasr RI, Zeydan BA, Bakhry MF, Saloom MS (2003) Uplift pressure relief on lined canals using tile drains. Alexandria Eng 42(4):497–507

    Google Scholar 

  17. Nguyen HV, Nieber JL, Ritsema CJ, Dekker LW, Steenhuis TS (1999) Modeling gravity driven unstable flow in a water repellent soil. J Hydrol 215(1–4):202–214. https://doi.org/10.1016/S0022-1694(98)00269-8

    Article  Google Scholar 

  18. Norouzi R, Salmasi F, Arvanaghi H (2020) Uplift pressure and hydraulic gradient in Sabalan Dam. Appl Water Sci 10(111):1–12. https://doi.org/10.1007/s13201-020-01195-2

    Article  Google Scholar 

  19. Pakbaz MS, Dardaei A, Salahshoor J (2009) Evaluation of performance of plastic concert cutoff wall in Karkheh dam using 3-D Seepage analysis and measurement. J Appl Sci 9(4):724–730. https://doi.org/10.3923/jas.2009.724.730

    Article  Google Scholar 

  20. Ransford RK (1972). Uplift computations for Masonry Dams, in, La Houille Blanche.

  21. Raymond R, Ronald W, Victor E (1994) Uplift modeling for fracture mechanics analysis of concrete dams. J Struct Eng ASCE 120(10):3025–3044

  22. Ruggeri G (2004) Uplift Pressures under Concrete Dams-Final Report. ICOLD European Club

  23. Salmasi F, Nouri M (2017) Effect of upstream semi-impervious blanket of embankment dams on seepage. ISH J Hydraul Eng 25(2):143–152. https://doi.org/10.1080/09715010.2017.1381862

    Article  Google Scholar 

  24. Salmasi F, Mansuri B, Raoufi A (2015) Use of numerical simulation to measure the effect of relief wells for decreasing uplift in a homogeneous Earth Dam. Civ Eng Infrastruct J 48(1):35–45. https://doi.org/10.7508/CEIJ.2015.01.004

    Article  Google Scholar 

  25. Salmasi F, Khatibi R, Nourani B (2017) Investigating reduction of uplift forces by longitudinal drains with underlined canals. ISH J Hydraul Eng 23(1):57–62. https://doi.org/10.1080/09715010.2017.1350605

    Article  Google Scholar 

  26. Salmasi F, Nouri M, Abraham J (2020a) Upstream cutoff and downstream filters to control of seepage in dams. Water Resour Manage 34:4271–4288. https://doi.org/10.1007/s11269-020-02674-6

    Article  Google Scholar 

  27. Salmasi F, Norouzi R, Abraham J, Nourani B, Samadi S (2020b) Effect of inclined clay core on embankment dam seepage and stability through LEM and FEM. Geotech Geol Eng. https://doi.org/10.1007/s10706-020-01455-7

    Article  Google Scholar 

  28. Sartipi N, Salmasi F, Abraham J, Hosseinzadeh Dalir A (2020) Investigation of the effect of depth and distance between cutoff walls on uplift force for gravity dams. Int J Environ Sci Technol. https://doi.org/10.1007/s13762-020-02867-x

    Article  Google Scholar 

  29. Varshney RS (1982) Concrete dams. Oxford and IBH Publishing CO, New Delhi

    Google Scholar 

  30. Yuan S, Zhong H (2016) Three dimensional analysis of unconfined seepage in earth dams by the weak form quadrature element method. J Hydrol 533:403–411. https://doi.org/10.1016/j.jhydrol.2015.12.034

    Article  Google Scholar 

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Acknowledgements

This paper is the outcome of a research project supported by the University of Tabriz research affairs office.

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Correspondence to Farzin Salmasi.

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Aghdam, A.T., Salmasi, F., Abraham, J. et al. Effect of Drain Pipes on Uplift Force and Exit Hydraulic Gradient and the Design of Gravity Dams Using the Finite Element Method. Geotech Geol Eng (2021). https://doi.org/10.1007/s10706-021-01699-x

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Keywords

  • Gravity dam
  • Uplift force
  • Drain pipe
  • Exit hydraulic gradient
  • Finite elements method