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

Aslan, Timuçin Alp; Temel, Beytullah

doi:10.26701/ems.1024266

Cited by 4 publications

(6 citation statements)

References 21 publications

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“…Specifically the hydraulic flow rate, by graphical method, using flow net and Equation ( 4). On the other hand, in the FEM, the flow rate is obtained through the expressions provided by Equations (10)(11)(12).…”

Section: Methodsmentioning

confidence: 99%

“…In the FEM, alternatively, the analytical Equations ( 10) and ( 11) are solved using the average hydraulic velocity obtained between the limits 𝑦 and 𝑦 of Equation (10), or 𝑥 and 𝑥 of Equation (11), leading to more simplified expressions [14]:…”

Section: Soil Hydraulicsmentioning

confidence: 99%

“…The numerical study, through FEM, of hydraulic percolation in porous media using different hydraulic containment systems is addressed in various studies, such as those referenced in [6,[9][10][11]. These works have demonstrated that, despite being a field of study for many centuries, the technicalscientific interest in this subject continues to evolve and renew itself over the years.…”

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confidence: 99%

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Numerical Study of Hydraulic Percolation in Porous Media Using Two Hydraulic Structures

Faria,

Venâncio,

Siqueira

et al. 2023

Preprint

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This article investigates hydraulic percolation in saturated porous media, focusing on containment systems using sheet pile walls and gravity concrete dams. The Laplace equation, which governs hydraulic flow in porous media, is solved using the Finite Element Method through the ANSYS software. The modeling of the porous media employs a planar quadratic element called Plane 55, originally used for thermal problems, composed of four nodes and one hydraulic degree of freedom per node. The numerical results of the water pressure acting on the hydraulic structure, flow rate, and hydraulic gradient at the outlet of the porous media are compared with results obtained in the technical-scientific literature using flow nets. Two different methodologies are used to obtain the rate of seepage: by using the average hydraulic velocity or by calculating the integral of the hydraulic gradient perpendicular to the flow area. Both methodologies are compared and validated in the numerical simulations. This work also demonstrates the importance of mesh refinement for obtaining the flow rate in the studied hydraulic systems.

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Section: Methodsmentioning

confidence: 99%

Section: Soil Hydraulicsmentioning

confidence: 99%

mentioning

confidence: 99%

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Numerical Study of Hydraulic Percolation in Porous Media Using Two Hydraulic Structures

Faria,

Venâncio,

Siqueira

et al. 2023

Preprint

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“…The nonlinear hydro-mechanical coupled equations are obtained using the Extended Finite Element Method (XFEM) discretization and solved using the Newton-Raphson method. Aslan and Temel (2022) [46] described the 2D steadystate seepage analysis of the dam body and its base is investigated using the Finite element method (FEM) based on Galerkin's method [40] and Ritz's (1908) [47] approach. The body and foundation soil are considered homogeneous isotropic and anisotropic materials, and the effects of horizontal drainage length and the cutoff wall on seepage are investigated.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Finite Elements Solution Describing Recession Flow in Unconfined Aquifers

Tzimopoulos,

Papadopoulos,

Samarinas

et al. 2024

Hydrology

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In this work, a novel fuzzy FEM (Finite Elements Method) numerical solution describing the recession flow in unconfined aquifers is proposed. In general, recession flow and drainage problems can be described by the nonlinear Boussinesq equation, while the introduced hydraulic parameters (Conductivity K and Porosity S) present significant uncertainties for various reasons (e.g., spatial distribution, human errors, etc.). Considering the general lack of in situ measurements for these parameters as well as the certain spatial variability that they present in field scales, a fuzzy approach was adopted to include the problem uncertainties and cover the disadvantage of ground truth missing data. The overall problem is encountered with a new approximate fuzzy FEM numerical solution, leading to a system of crisp boundary value problems. To prove the validity and efficiency of the new fuzzy FEM, a comparative analysis between the proposed approach and other well-known and tested approximations was carried out. According to the results, the proposed FEM numerical solution agrees with Karadinumerical method for the crisp case and is in close agreement with the original analytical solution proposed by Boussinesq in 1904 with the absolute reduced error to be 4.6‰. Additionally, the possibility theory is applied, enabling the engineers and designers of irrigation, drainage, and water resources projects to gain knowledge of hydraulic properties (e.g., water level, outflow volume) and make the right decisions for rational and productive engineering studies.

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“…The finite element method is one of the most influential and efficient tools used for the numerical solution of a wide range of problems in structural mechanics [17][18][19][20][21][22][23][24][25][26][27][28][29]. Besides this, several researchers and engineers examine the dynamic response of structures [30][31][32][33][34][35][36][37][38][39][40][41][42][43].…”

Section: Introductionmentioning

confidence: 99%

Influence of Porosity on the Free Vibration Response of Sandwich Functionally Graded Porous Beams

AL-ITBI

Noori

2022

Journal of Sustainable Construction Materials and Technologies

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Functionally graded materials are composite materials used to build a variety of structures. These structures are used in ships industries, marine, automotive, high building structures, energy engineering applications, and many more. The porosity made in these materials may negatively affect some behavior aspects like stiffness, and strength, but it may provide superior performance in other fields like vibration reduction, thermal isolation, energy absorption, and others. In this paper, we will discuss the effect of porosity on the natural frequencies for functionally graded porous (FGP) sandwich beams. The mechanical properties of the FGP sandwich beams are changing with the porosity in the thickness direction. The free vibration of the beams is examined with the effect of porosity. The analysis is carried out for four different beam supporting types (hinged – hinged, fixed – fixed, fixed – free, fixed – hinged). Various porosity ratios are considered with a range from (0.1 – 0.9). Forty–four samples are analyzed for each type of core material distribution which is the symmetric material constitutive relationships (SMCR) and uniform core material. The results gained from the analysis show that the porosity constant has a significant effect on the natural frequencies of the FGP sandwich beams.

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

Cited by 4 publications

References 21 publications

Numerical Study of Hydraulic Percolation in Porous Media Using Two Hydraulic Structures

Numerical Study of Hydraulic Percolation in Porous Media Using Two Hydraulic Structures

Fuzzy Finite Elements Solution Describing Recession Flow in Unconfined Aquifers

Influence of Porosity on the Free Vibration Response of Sandwich Functionally Graded Porous Beams

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