A coupled discrete element-finite difference approach for modeling mechanical response of fluid-saturated porous materials

S. G. Psakhie, A. V. Dimaki, E. V. Shilko, S. V. Astafurov

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

A model of fluid-saturated poroelastic medium was developed based on a combination of the discrete element method and grid method. The developed model adequately accounts for the deformation, fracture, and multiscale internal structure of a porous solid skeleton. The multiscale porous structure is taken into account implicitly by assigning the porosity and permeability values for the enclosing skeleton, which determine the rate of filtration of a fluid. Macroscopic pores and voids are taken into account explicitly by specifying the computational domain geometry. The relationship between the stress-strain state of the solid skeleton and pore fluid pressure is described in the approximations of simply deformable discrete element and Biot's model of poroelasticity. The developed model was applied to study the mechanical response of fluid-saturated samples of brittle material. Based on simulation results, we constructed a generalized logistic dependence of uniaxial compressive strength on loading rate, mechanical properties of fluid and enclosing skeleton, and on sample dimensions. The logistic form of the generalized dependence of strength of fluid-saturated elastic-brittle porous materials is due to the competition of two interrelated processes, such as pore fluid pressure increase under solid skeleton compression and fluid outflow from the enclosing skeleton to the environment.

Original languageEnglish
Pages (from-to)623-643
Number of pages21
JournalInternational Journal for Numerical Methods in Engineering
Volume106
Issue number8
DOIs
Publication statusPublished - 25 May 2016

Fingerprint

Discrete Elements
Porous Materials
Porous materials
Finite Difference
Skeleton
Fluid
Fluids
Modeling
Brittle Materials
Logistics
Poroelasticity
Compressive Strength
Discrete Element Method
Brittleness
Voids
Porosity
Finite difference method
Model
Permeability
Filtration

Keywords

  • Coupled model
  • DEM
  • Filtration
  • Permeability
  • Poroelasticity

ASJC Scopus subject areas

  • Engineering(all)
  • Applied Mathematics
  • Numerical Analysis

Cite this

A coupled discrete element-finite difference approach for modeling mechanical response of fluid-saturated porous materials. / Psakhie, S. G.; Dimaki, A. V.; Shilko, E. V.; Astafurov, S. V.

In: International Journal for Numerical Methods in Engineering, Vol. 106, No. 8, 25.05.2016, p. 623-643.

Research output: Contribution to journalArticle

@article{31468a9ae8724245bbbf29bcaf661549,
title = "A coupled discrete element-finite difference approach for modeling mechanical response of fluid-saturated porous materials",
abstract = "A model of fluid-saturated poroelastic medium was developed based on a combination of the discrete element method and grid method. The developed model adequately accounts for the deformation, fracture, and multiscale internal structure of a porous solid skeleton. The multiscale porous structure is taken into account implicitly by assigning the porosity and permeability values for the enclosing skeleton, which determine the rate of filtration of a fluid. Macroscopic pores and voids are taken into account explicitly by specifying the computational domain geometry. The relationship between the stress-strain state of the solid skeleton and pore fluid pressure is described in the approximations of simply deformable discrete element and Biot's model of poroelasticity. The developed model was applied to study the mechanical response of fluid-saturated samples of brittle material. Based on simulation results, we constructed a generalized logistic dependence of uniaxial compressive strength on loading rate, mechanical properties of fluid and enclosing skeleton, and on sample dimensions. The logistic form of the generalized dependence of strength of fluid-saturated elastic-brittle porous materials is due to the competition of two interrelated processes, such as pore fluid pressure increase under solid skeleton compression and fluid outflow from the enclosing skeleton to the environment.",
keywords = "Coupled model, DEM, Filtration, Permeability, Poroelasticity",
author = "Psakhie, {S. G.} and Dimaki, {A. V.} and Shilko, {E. V.} and Astafurov, {S. V.}",
year = "2016",
month = "5",
day = "25",
doi = "10.1002/nme.5134",
language = "English",
volume = "106",
pages = "623--643",
journal = "International Journal for Numerical Methods in Engineering",
issn = "0029-5981",
publisher = "John Wiley and Sons Ltd",
number = "8",

}

TY - JOUR

T1 - A coupled discrete element-finite difference approach for modeling mechanical response of fluid-saturated porous materials

AU - Psakhie, S. G.

AU - Dimaki, A. V.

AU - Shilko, E. V.

AU - Astafurov, S. V.

PY - 2016/5/25

Y1 - 2016/5/25

N2 - A model of fluid-saturated poroelastic medium was developed based on a combination of the discrete element method and grid method. The developed model adequately accounts for the deformation, fracture, and multiscale internal structure of a porous solid skeleton. The multiscale porous structure is taken into account implicitly by assigning the porosity and permeability values for the enclosing skeleton, which determine the rate of filtration of a fluid. Macroscopic pores and voids are taken into account explicitly by specifying the computational domain geometry. The relationship between the stress-strain state of the solid skeleton and pore fluid pressure is described in the approximations of simply deformable discrete element and Biot's model of poroelasticity. The developed model was applied to study the mechanical response of fluid-saturated samples of brittle material. Based on simulation results, we constructed a generalized logistic dependence of uniaxial compressive strength on loading rate, mechanical properties of fluid and enclosing skeleton, and on sample dimensions. The logistic form of the generalized dependence of strength of fluid-saturated elastic-brittle porous materials is due to the competition of two interrelated processes, such as pore fluid pressure increase under solid skeleton compression and fluid outflow from the enclosing skeleton to the environment.

AB - A model of fluid-saturated poroelastic medium was developed based on a combination of the discrete element method and grid method. The developed model adequately accounts for the deformation, fracture, and multiscale internal structure of a porous solid skeleton. The multiscale porous structure is taken into account implicitly by assigning the porosity and permeability values for the enclosing skeleton, which determine the rate of filtration of a fluid. Macroscopic pores and voids are taken into account explicitly by specifying the computational domain geometry. The relationship between the stress-strain state of the solid skeleton and pore fluid pressure is described in the approximations of simply deformable discrete element and Biot's model of poroelasticity. The developed model was applied to study the mechanical response of fluid-saturated samples of brittle material. Based on simulation results, we constructed a generalized logistic dependence of uniaxial compressive strength on loading rate, mechanical properties of fluid and enclosing skeleton, and on sample dimensions. The logistic form of the generalized dependence of strength of fluid-saturated elastic-brittle porous materials is due to the competition of two interrelated processes, such as pore fluid pressure increase under solid skeleton compression and fluid outflow from the enclosing skeleton to the environment.

KW - Coupled model

KW - DEM

KW - Filtration

KW - Permeability

KW - Poroelasticity

UR - http://www.scopus.com/inward/record.url?scp=84951045800&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84951045800&partnerID=8YFLogxK

U2 - 10.1002/nme.5134

DO - 10.1002/nme.5134

M3 - Article

AN - SCOPUS:84951045800

VL - 106

SP - 623

EP - 643

JO - International Journal for Numerical Methods in Engineering

JF - International Journal for Numerical Methods in Engineering

SN - 0029-5981

IS - 8

ER -