Isoparametric Element Analysis of Two‐Dimensional Unsaturated Transient Seepage

Yong, Luo; Liu, Yuan; Wang, Juanjuan

doi:10.1155/2021/5571296

Cited by 3 publications

(3 citation statements)

References 11 publications

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“…Seepage directly affects the stability of structures due to the increase in the pore water pressure. The application of the finite element method (FEM) is prevalent in the field of seepage problems [5][6][7][8]. A high-quality mesh is essential for accurate numerical solutions in the FEM.…”

Section: Introductionmentioning

confidence: 99%

A PSBFEM Approach for Solving Seepage Problems Based on the Pixel Quadtree Mesh

Yan,

Yang,

Zhang

et al. 2023

Geofluids

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This paper presents a PSBFEM approach that integrates the quadtree mesh generation technique based on digital images for solving seepage problems. The quantitative representation of the distribution of geometrical information and material parameters is achieved by utilizing the color intensity of each pixel, which can then be applied to seepage analysis. The presented method addresses the issue of hanging nodes by treating them as nodes of a polygonal element. We validate the proposed technique by solving three benchmark seepage problems. Results show that the image-based domain can be automatically discretized using a quadtree decomposition of the images. Furthermore, the computational efficiency and precision of the PSBFEM surpass that of the standard FEM. Therefore, the proposed technique allows for the convenient automatic discretization of the domain using pixel meshes to solve seepage problems in engineering applications.

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Section: Introductionmentioning

confidence: 99%

A PSBFEM Approach for Solving Seepage Problems Based on the Pixel Quadtree Mesh

Yan,

Yang,

Zhang

et al. 2023

Geofluids

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“…Changes in soil pore water pressure may significantly affect the stability of structures, such as such as the slope [1,2], tunnel [3], and earth-rock dam [4]. The finite element method (FEM) is the dominant method for seepage problems [5][6][7][8]. However, this method is cumbersome when dealing with singularities.…”

Section: Introductionmentioning

confidence: 99%

A Novel Solution for Seepage Problems Implemented in the Abaqus UEL Based on the Polygonal Scaled Boundary Finite Element Method

et al. 2022

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The scaled boundary finite element method (SBFEM) is a semianalytical computational scheme based on the characteristics of the finite element method (FEM) and boundary element method that combines their respective advantages. In this paper, the SBFEM and polygonal mesh technique are integrated into a new approach to solve steady-state and transient seepage problems. The proposed method is implemented in Abaqus employing a user-defined element (UEL). A detailed implementation of the procedure is presented in which the UEL element is defined, the internal variables RHS and AMATRX are updated, and the stiffness/mass matrix is solved using eigenvalue decomposition. Several benchmark problems are solved to verify the proposed implementation. The results show that the polygonal element of the polygonal SBFEM (PSBFEM) is more accurate than the standard FEM element of the same element size. For transient problems, the results for the PSBFEM and FEM are in excellent agreement. Hence, the proposed method is robust and accurate for solving steady-state and transient seepage problems. The developed UEL source code and the associated input files can be downloaded from GitHub.

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“…Due to economic factors, cuto walls are currently trendy. Water seepage downstream of dams can be observed in the form of increased humidity, soil softening, and increased vegetation, as well as increased spring discharge and rising groundwater piezometric levels [7,8].…”

Section: Introductionmentioning

confidence: 99%

Reduction of Seepage Risks by Investigation into Different Lengths and Positions for Cutoff Wall and Horizontal Drainage (Case Study: Sattarkhan Dam)

Brontowiyono

Hammid²,

Jebur³

et al. 2022

Advances in Civil Engineering

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Seepage from the earth dam’s body reduces the amount of water in the dam’s reservoir and threatens its stability. In this paper, the earth-type Sattarkhan Dam on the Aharchai River has been investigated. In this regard, the SEEP/W model from the GeoStudio 2018 software suite was used for modeling. This study examines the effects of various lengths and positions of cutoff wall and horizontal drainage on seepage, uplift pressure, and exit gradient. Increasing the length of the cutoff wall reduces seepage in both sections, with a more significant effect on Section 2; it also decreases the uplift pressure and the exit gradient. Changing the position of the cutoff wall has a significant effect on seepage fluctuations in Section 1 but has no effect on seepage in Section 2; in positions 2 to 7, the uplift pressure values are nearly identical, and the exit gradient is most significant at position 1 and least at position 2. Increasing the horizontal drainage’s length increases seepage, reduces uplift pressure, and increases the exit gradient. The closer proximity of the horizontal drainage position to the dam’s core increases seepage and decreases uplift pressure and exit gradient. Finally, it is concluded that the construction of a cutoff wall and horizontal drainage with appropriate lengths and positions reduces risk and improves the stability of earth dams.

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Isoparametric Element Analysis of Two‐Dimensional Unsaturated Transient Seepage

Cited by 3 publications

References 11 publications

A PSBFEM Approach for Solving Seepage Problems Based on the Pixel Quadtree Mesh

A PSBFEM Approach for Solving Seepage Problems Based on the Pixel Quadtree Mesh

A Novel Solution for Seepage Problems Implemented in the Abaqus UEL Based on the Polygonal Scaled Boundary Finite Element Method

Reduction of Seepage Risks by Investigation into Different Lengths and Positions for Cutoff Wall and Horizontal Drainage (Case Study: Sattarkhan Dam)

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