Three-dimensional simulation of fully coupled hydro-mechanical behavior of saturated porous media using Element Free Galerkin (EFG) method

Fully coupled flow-deformation analysis of deformable multiphase porous media saturated by several immiscible fluids has attracted the attention of researchers in widely different fields of engineering. This paper presents a new numerical tool to simulate the complicated process of two-phase fluid flow through deforming porous materials using a mesh-free technique, called element-free Galerkin (EFG) method. The numerical treatment of the governing partial differential equations involving the equilibrium and continuity equations of pore fluids is based on Galerkin's weighted residual approach and employing the penalty method to introduce the essential boundary conditions into the weak forms. The resulting constrained Galerkin formulation is discretized in space using the same EFG shape functions for the displacements and pore fluid pressures which are taken as the primary unknowns. Temporal discretization is achieved by utilizing a fully implicit scheme to guarantee no spurious oscillatory response. The validity of the developed EFG code is assessed via conducting a series of simulations. According to the obtained numerical results, adopting the appropriate values for the EFG numerical factors can warrant the satisfactory application of the proposed mesh-free model for coupled hydro-mechanical analysis of applied engineering problems such as unsaturated soil consolidation and infiltration of contaminant into subsurface soil layers.

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“…[40][41][42][43][44][45]), and two-phase fluid flow processes through rigid porous materials (e.g. [46][47][48]).…”

Section: Introductionmentioning

confidence: 99%

A three-dimensional mesh-free model for analyzing multi-phase flow in deforming porous media

Samimi

Pak

2015

Meccanica

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“…2 and the variation in pressure at mid-height of centerline, Fig. 3 are presented and compared with Samimi and Pak [14].…”

Section: ) One Layer Saturated Porous Mediamentioning

confidence: 99%

“…XFEM DISCRETIZATION In order to model the displacement and pressure field, the following enriched variables are defined;  is the modified level set function (14) representing the gradient discontinuity part of the pressure field. …”

Section: Procedures For Paper Submissionmentioning

confidence: 99%

Modeling Weak Discontinuities in Saturated Porous Medium by Using Extended Finite Element Method

2016

IJAMAE

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Abstract-The present paper discusses the development of the modeling coupled deforming porous media which contains weak discontinuity. The formulation is based on the coupled solid deformation and fluid pressure. The spatial and time discretization is carried out by extended finite element method and generalized Newmark method, respectively. The fluid flow normal to material discontinuity is modeled by enhancing the pressure field with the modified level set function, which is mostly used for weak discontinuities. Finally as a verification, a problem of material interface under the assumption of fully coupled system is examined.

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“…Using this model compared with other more complex elastoplastic models [8][9][10][11][12] greatly simplifies the solution of the task and does not requires additional experimental parameters which characterize the nonlinear deformation of soil.…”

Section: Solution Of a Taskmentioning

confidence: 99%

“…1 (12) Then the stiffness matrix of the system is calculated and Eq.8 is re-solved. Iterative process ends when the difference between the values of the angular displacement and the pore pressure, which were obtained in two successive iterations, is not greater then specified error.…”

Section: Solution Of a Taskmentioning

confidence: 99%

Features of Calculation of Consolidation Process of Weak Saturated Soils in View of Their Plastic Properties

Golubev

Savchenko

Akimov

et al. 2016

MATEC Web of Conferences

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Abstract.Issue of construction of facilities in areas of weak saturated soils is becoming particularly relevant in recent years. This problem applies especially to objects of oil and gas industry. Saturated soils are characterized by a filtration anisotropy, an inhomogeneity and an ability to liquefy in violation of their structure because of water content. Therefore, the study of bearing capacity of such soils in the process of consolidation has significant practical importance in ensuring the reliability of structures. The formulation, the method and the algorithm for calculating the stress-strain state of weak saturated soils is described in this article. Solution of the consolidation task is based on the model of body forces of threecomponent soil considering the elastic-plastic deformation of its skeleton. Some results of calculations have been shown in this article.

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Three-dimensional simulation of fully coupled hydro-mechanical behavior of saturated porous media using Element Free Galerkin (EFG) method

Cited by 51 publications

References 25 publications

A three-dimensional mesh-free model for analyzing multi-phase flow in deforming porous media

A three-dimensional mesh-free model for analyzing multi-phase flow in deforming porous media

Modeling Weak Discontinuities in Saturated Porous Medium by Using Extended Finite Element Method

Features of Calculation of Consolidation Process of Weak Saturated Soils in View of Their Plastic Properties

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