Non-isothermal simulation of the behavior of unsaturated soils using a novel EFG-based three dimensional model

Iranmanesh, Mohammad Ali; Pak, Ali; Samimi, Soodeh

doi:10.1016/j.compgeo.2018.02.024

Cited by 11 publications

(11 citation statements)

References 40 publications

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“…These assumptions are commonly used in other works. 5,6,41 It has been observed experimentally that the saturation increases at a constant temperature if the capillary pressure decreases. 40,42 The porous medium and solid grains are both considered to be compressible.…”

Section: The Physical Model and Governing Equationsmentioning

confidence: 99%

“…It means that each test function includes the standard and enriched DOF. Substituting the X-FEM approximation of the displacement, wetting fluid pressure, capillary pressure, and temperature fields, defined in (41), (46), and (47) into the weak form of governing Equations (23)- (26), the discretized forms of these equations can be obtained as: (51) where the definitions of the incorporated matrices and vectors are given in Appendix A. The interfacial force vectors must be integrated over the discontinuity interface.…”

Section: Discretization Of Equationsmentioning

confidence: 99%

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Thermo‐hydro‐mechanical modeling of fracturing porous media with two‐phase fluid flow using X‐FEM technique

Khoei

Mortazavi

2020

Num Anal Meth Geomechanics

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In this paper, a fully coupled thermo-hydro-mechanical model is presented for two-phase fluid flow and heat transfer in fractured/fracturing porous media using the extended finite element method. In the fractured porous medium, the traction, heat, and mass transfer between the fracture space and the surrounding media are coupled. The wetting and nonwetting fluid phases are water and gas, which are assumed to be immiscible, and no phase-change is considered. The system of coupled equations consists of the linear momentum balance of solid phase, wetting and nonwetting fluid continuities, and thermal energy conservation. The main variables used to solve the system of equations are solid phase displacement, wetting fluid pressure, capillary pressure, and temperature. The fracture is assumed to impose the strong discontinuity in the displacement field and weak discontinuities in the fluid pressure, capillary pressure, and temperature fields. The mode I fracture propagation is employed using a cohesive fracture model. Finally, several numerical examples are solved to illustrate the capability of the proposed computational algorithm. It is shown that the effect of thermal expansion on the effective stress can influence the rate of fracture propagation and the injection pressure in hydraulic fracturing process. Moreover, the effect of thermal loading is investigated properly on fracture opening and fluids flow in unsaturated porous media, and the convective heat transfer within the fracture is captured successfully. It is shown how the proposed computational model is capable of modeling the fully coupled thermal fracture propagation in unsaturated porous media.

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Section: The Physical Model and Governing Equationsmentioning

confidence: 99%

Section: Discretization Of Equationsmentioning

confidence: 99%

Thermo‐hydro‐mechanical modeling of fracturing porous media with two‐phase fluid flow using X‐FEM technique

Khoei

Mortazavi

2020

Num Anal Meth Geomechanics

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“…To discretise the system of equations, the generalised smoothed Galerkin (GS-Galerkin) weak formulation is adopted allowing the use of discontinuous approximation functions (Liu, 2008). In the GS-Galerkin approach, the problem domain is divided into smoothing domains on top of the triangular background cells in a non-overlapping and no-gap fashion, so that (7) and (8) where represents the th smoothing domain and is the whole domain. Permissible smoothing domains can be constructed in different ways resulting in different numerical solution schemes with different features.…”

Section: Construction Of the Smoothing Domainsmentioning

confidence: 99%

“…To date, a limited number of studies have adopted MMs to evaluate different aspects of coupled hydro-mechanical behaviour of deforming unsaturated porous media (Khoshghalb and Khalili, 2013;Iranmanesh et al, 2018). Khoshghalb and Khalili (2013) adopted the radial point interpolation method (PIM) for flow-deformation analysis of unsaturated elastic porous media based on the effective stress approach including the hydraulic hysteresis.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear analysis of unsaturated soils using a meshfree method

Ghaffaripour

Esgandani

Khoshghalb

2019

JGS Special Publication

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A fully coupled algorithm based on a recently developed meshfree method, called smoothed point interpolation method, is introduced for hydro-mechanical analysis of unsaturated porous media considering hydraulic hysteresis and material nonlinearity. A simple node selection scheme is adopted which ensures the non-singularity of the moment matrix in constructing the polynomial point interpolation shape functions. An effective stress based framework based on the work of Khalili et al. (2008) is followed in this study, and a hysteretic water retention model is taken into account which enables the evolution of water retention curve (WRC) with volumetric changes (Pasha et al., 2017). An elastoplastic constitutive model is employed within the context of bounding surface plasticity theory for predicting the nonlinear behavior of soil skeleton in unsaturated porous media. The applicability of the model is verified through several numerical examples.

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“…Modaressi and Aubert 40 were first to apply a MM (ie, EFGM) to model coupled flow deformation in saturated porous media. Since then, many MMs have been employed for coupled flow-deformation analysis of multiphase porous media, including the SPH, [52][53][54] EFGM, [55][56][57] PFEM, [58][59][60] RPIM, [61][62][63] MPM, [64][65][66][67] and SPIM, [68][69][70] just to mention a few. SPH uses point-wise integration and hence is free from any background mesh; however, it suffers from spatial instabilities.…”

Section: Introductionmentioning

confidence: 99%

Fully coupled elastoplastic hydro‐mechanical analysis of unsaturated porous media using a meshfree method

Ghaffaripour

Esgandani

Khoshghalb

et al. 2019

Num Anal Meth Geomechanics

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Summary This paper presents the first application of an advanced meshfree method, ie, the edge‐based smoothed point interpolation method (ESPIM), in simulation of the coupled hydro‐mechanical behaviour of unsaturated porous media. In the proposed technique, the problem domain is spatially discretised using a triangular background mesh, and the polynomial point interpolation method combined with a simple node selection scheme is adopted for creating nodal shape functions. Smoothing domains are formed on top of the background mesh, and a constant smoothed strain, created by applying the smoothing operation over the smoothing domains, is assigned to each smoothing domain. The deformation and flow models are developed based on the equilibrium equation of the mixture, and linear momentum and mass balance equations of the fluid phases, respectively. The effective stress approach is followed to account for the coupling between the flow and deformation models. Further coupling among the phases is captured through a hysteretic soil water retention model that evolves with changes in void ratio. An advanced elastoplastic constitutive model within the context of the bounding surface plasticity theory is employed for predicting the nonlinear behaviour of soil skeleton. Time discretisation is performed by adopting a three‐point discretisation method with growing time steps to avoid temporal instabilities. A modified Newton‐Raphson framework is designed for dealing with nonlinearities of the discretised system of equations. The performance of the numerical model is examined through a number of numerical examples. The state‐of‐the‐art computational scheme developed is useful for simulation of geotechnical engineering problems involving unsaturated soils.

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Non-isothermal simulation of the behavior of unsaturated soils using a novel EFG-based three dimensional model

Cited by 11 publications

References 40 publications

Thermo‐hydro‐mechanical modeling of fracturing porous media with two‐phase fluid flow using X‐FEM technique

Thermo‐hydro‐mechanical modeling of fracturing porous media with two‐phase fluid flow using X‐FEM technique

Nonlinear analysis of unsaturated soils using a meshfree method

Fully coupled elastoplastic hydro‐mechanical analysis of unsaturated porous media using a meshfree method

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