Finite element analysis of the seepage problem in the dam body and foundation based on the Galerkin’s approach

Year 2022, Volume: 6 Issue: 2, 143 - 151, 26.06.2022

Timuçin Alp Aslan , Beytullah Temel

https://doi.org/10.26701/ems.1024266

Cited By: 3

Abstract

In this study, the 2D steady-state seepage analysis of the dam body and its base is investigated using the finite element method based on the Galerkin’s approach. The body and foundation soil are considered as homogeneous isotropic and anisotropic materials and the effects of horizontal drainage length and cutoff wall on seepage are investigated. The differential equation governing the response of water in the soil is obtained with the help of Darcy's law and continuity equations. A program has been prepared in Fortran programming language to find the hydraulic load, pressure values and phreatic line pressure values at the points inside the dam body and the quantity of seepage on the bottom of dam. It has been shown that the obtained values are in good agreement by comparing them with the results of existing studies in the literature.

Keywords

dam, seepage analysis, finite element methods

Supporting Institution

Scientific Research Projects Directorate of Cukurova University

Project Number

FBA-2019-12058

Thanks

The authors thank the Scientific Research Projects Directorate of Cukurova University for supporting the present study (FBA-2019-12058).

References

• [1] M. Ardıçlıoğlu, Sonlu elemanlar yöntemi ile Aslantaş baraj gövdesinde sızma analizi, Yüksek Lisans Tezi, Çukurova Üniversitesi, 1990. (In Turkish)
• [2] S. B. Keskin, Toprak dolgu baraj gövdesindeki ve altındaki sızma olayının incelenmesi, Yüksek Lisans Tezi, Pamukkale Üniversitesi, 2005. (In Turkish)
• [3] H. Çilingir, Toprak Dolgu barajların gövdelerindeki sızmaların sonlu elemanlar yöntemi ile incelenmesi: Büyükçekmece barajı uygulaması, Yüksek Lisans Tezi, İstanbul Teknik Üniversitesi, 2007. (In Turkish)
• [4] A. Fakhari, A. Ghanbari, A Simple method for calculating the seepage from earth dams with clay core, Journal of GeoEngineering. 8 (2013) 27-32.
• [5] B. Çelik, Aydın İkizdere barajı sonlu elemanlar yöntemi ile sızma analizi, Yüksek Lisans Tezi, Gazi Üniversitesi, 2014. (In Turkish)
• [6] O. Sağlıca, Dolgu baraj gövdelerinde sızma analizi, Yüksek Lisans Tezi, Gazi Üniversitesi, 2013. (In Turkish)
• [7] M.S. Darbandi, O. Torabi, M. Saadat, Y. Daghighi, D. Jarrahbashi, A Moving-Mesh finite-volume method to solve free-surface seepage problem in arbitrary geometries, Int. J. Numer. Anal. Meth. Geomech. 31 (2007) 1609–1629.
• [8] K. Rafıezadeh, B., Ataıe-ashtiani,. Seepage analysis in multi-domain general anisotropic media by three-dimensional boundary elements, Engineering Analysis with Boundary Elements. 37 (2013) 527–541.
• [9] A. Ourıa, M.M. Toufıgh, Application of nelder-mead simplex method for unconfined seepage problems, Applied Mathematical Modelling. 33 (2009) 3589–3598.
• [10] K. K. El-Jumaıly, J.M.H Al-bakry, Seepage analysis through and under hydraulic structures applying finite volume method. Eng. Tech.J., 9 (2013) 1719-1731.
• [11] S.B. Mesci, Dolgu baraj gövdelerindeki sızmaların ve freatik hattın incelenmesi: seferihisar barajı uygulaması, Yüksek Lisans Tezi, İstanbul Teknik Üniversitesi, 2006. (In Turkish)
• [12] H.U. Çakır, Yeraltısuyu akımlarının modellenmesinde kollokasyon metodu, Dokuz Eylül Üniversitesi, Yüksek Lisans Tezi, 2011. (In Turkish)
• [13] L. Quanshu, L. Jianjun, Numerical analysis of the seepage field in core-dam lı quanshu, LIU Jianjun (2010) 492-499. https://www.researchgate.net/publication/267976261_Numerical_Analysis_of_the_Seepage_Field_in_Core-Dam.
• [14] B. Mansuri, F. Salmasi, Effect of horizontal drain length and cutoff wall on seepage and uplift pressure in heterogeneous earth dam with numerical simulation. Journal of Civil Engineering and Urbanism, 3(3) (2013) 114-121.
• [15] A.A. Sakhmarsi, H. Akhbari, SP. Naeimi, A. Kiapey, The effect of the cutoff wall conditions on the seepage characteristics of homogeneous earth-fill dams using SEEP/W, WALIA journal. 30(S2) (2014) 176-182.
• [16] S. Yuan, H. Zhong, Three dimensional analysis of unconfined seepage in earth dams by the weak form quadrature element method. Journal of Hydrology, 533 (2016) 403–411.
• [17] W. Zhang, B. Dai, Z., Liu, C. Zhou, Unconfined seepage analysis using moving kriging mesh-free method with Monte Carlo integration, Transport in Porous Media. 116(1) (2017) 163–180.
• [18] S.I. Khassaf, A.M. Madhloom Efect of impervious core on seepage through zoned earth dam (case study: Khassa Chai dam), Int J Sci Eng Res. 8(2) (2017) 1053–1064.
• [19] A. Zewdu, Seepage and slope stability analysis of earthen dam: a case study of Koga Dam, Ethiopia, WNOFNS. 26 (2019) 191-217.
• [20] P. Taghvaei, SF Mousavi., A. Shahnazari, H. Karami, I. Shoshpash, Experimental and numerical modeling of nano-clay efect on seepage rate in earth dams, Int J Geosynth Ground Eng. 5(1) (2014):1.
• [21] A. Doaa, T. El Molla, Seepage through homogeneous earth dams provided with a vertical sheet pile and formed on impervious foundation, Ain Shams Eng J.10(3) (2019) 529–539.
• [22] H.R.Z. Sanayei, H. Javdanian, Assessment of steady-state seepage through dams with nonsymmetric boundary conditions: analytical approach, Environ Monit Assess (2020) 192: 3.
• [23] F. Salmasi, M. Nouri, J. Abraham, Upstream cutoff and downstream filters to control of seepage in dams, Water Resources Management. 34 (2020) 4271–4288.
• [24] G. Kheiri, H. Javdanian, G. Shams, A numerical modeling study on the seepage under embankment dams, Modeling Earth Systems and Environment 6 (2020) 1075–1087.
• [25] A. E. Harr, Groundwater and Seepage, McGRaw-Hill Book Company, 1962.
• [26] Y.-x. Jie, L. Liu, W. Xu, G. Li, Application of NEM in seepage analysis with a free surface. Mathematics and Computers in Simulation, 89 (2013) 23–37.
• [27] A. R. Noori, T. A. Aslan, B. Temel, Dairesel plakların sonlu elemanlar yöntemi ile laplace uzayında dinamik analizi. Niğde Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi, 8(1),(2019) 193-205.
• [28] M. J. K. Parsi, F. Daneshm, Unconfined seepage analysis in earth dams using smoothed fixed grid finite element method, Int. J. Numer. Anal. Methods Geomech. 36 (2012) 780–797.
• [29] M. J. K. Parsi, Isogeometric analysis in solution of unconfined seepage problems. Computers and Mathematics with Applications. 78 (2019) 66–80.
• [30] B. Mansuri, F. Salmasi, B, Oghati. Effect of Location and Angle of Cutoff Wall on Uplift Pressure in Diversion Dam, Geotech Geol Eng. 32 (2014) 1165–1173.