A stabilized two-phase PD-FEM coupling approach for modeling partially saturated porous media

In the present manuscript, a stabilized two-phase PD-FEM coupling approach is developed for simulating deformation and fracture propagation in partially saturated porous media. Under the assumption of passive air pressure, the two-phase coupled model is derived based on the generalized Biot’s theory...

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Vydáno v:Acta geotechnica Ročník 18; číslo 2; s. 589 - 607
Hlavní autoři: Sun, Wei, Fish, Jacob, Liu, Fushen, Lu, Yi
Médium: Journal Article
Jazyk:angličtina
Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2023
Springer Nature B.V
Témata:
Capillary pressure
Civil engineering
Complex Fluids and Microfluidics
Coupling
Crack initiation
Crack propagation
Deformation
Dependent variables
Edge cracks
Engineering
Finite element analysis
Finite element method
Fluid flow
Fluids
Foundations
Fracture mechanics
Fracturing
Functions (mathematics)
Geoengineering
Geotechnical Engineering & Applied Earth Sciences
Hydraulics
Interpolation
Mathematical models
Membrane permeability
Permeability
Polynomials
Pore pressure
Porous media
Pressure
Pressure dependence
Pressure field
Propagation
Research Paper
Saturation
Soft and Granular Matter
Soil Science & Conservation
Solid Mechanics
Solid phases
Partially saturated porous media
Peridynamics
Coupling
Multiphase
Fracture propagation
ISSN:1861-1125, 1861-1133
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Shrnutí:In the present manuscript, a stabilized two-phase PD-FEM coupling approach is developed for simulating deformation and fracture propagation in partially saturated porous media. Under the assumption of passive air pressure, the two-phase coupled model is derived based on the generalized Biot’s theory. Two separate layers with different discretizations are coupled to solve the multiphase system, where the deformation and fracture of the solid phase is captured by the non-ordinary state-based peridynamics (NOSBPD) layer, while flow fluids are modeled by the finite element method (FEM) layer. Variables dependent on the capillary pressure, such as water saturation and permeability, are incorporated into the coupled model through the experimentally determined functions. Stabilization introduced via the Polynomial-Pressure-Projection technique, permits using low-order interpolation functions for the pore pressure field and coarse discretization for the PD layer. The accuracy of the proposed stabilized two-phase model is evaluated by two benchmark problems having either analytical or experimental data. The ability of the proposed formulation to simulate fracturing in a partially saturated porous medium has been studied for two problems: an edge crack subjected to mode I loading and fluid-driven fracturing.
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ISSN:1861-1125
1861-1133
DOI:10.1007/s11440-022-01619-0