A pore-scale numerical model for flow through porous media

Y. I. Zhu, Patrick Joseph Fox, Joseph P. Morris

Research output: Contribution to journalArticle

125 Citations (Scopus)

Abstract

A pore-scale numerical model based on Smoothed Particle Hydrodynamics (SPH) is described for modelling fluid flow phenomena in porous media. Originally developed for astrophysics applications, SPH is extended to model incompressible flows of low Reynolds number as encountered in groundwater flow systems. In this paper, an overview of SPH is provided and the required modifications for modelling flow through porous media are described, including treatment of viscosity, equation of state, and no-slip boundary conditions. The performance of the model is demonstrated for two-dimensional flow through idealized porous media composed of spatially periodic square and hexagonal arrays of cylinders. The results are in close agreement with solutions obtained using the finite element method and published solutions in the literature.

Original languageEnglish (US)
Pages (from-to)881-904
Number of pages24
JournalInternational Journal for Numerical and Analytical Methods in Geomechanics
Volume23
Issue number9
DOIs
StatePublished - Aug 10 1999

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Porous materials
porous medium
Numerical models
Hydrodynamics
hydrodynamics
incompressible flow
Astrophysics
two-dimensional flow
Groundwater flow
flow modeling
Incompressible flow
astrophysics
Equations of state
equation of state
Reynolds number
finite element method
groundwater flow
fluid flow
Flow of fluids
boundary condition

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Materials Science(all)
  • Geotechnical Engineering and Engineering Geology
  • Mechanics of Materials

Cite this

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A pore-scale numerical model for flow through porous media. / Zhu, Y. I.; Fox, Patrick Joseph; Morris, Joseph P.

In: International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 23, No. 9, 10.08.1999, p. 881-904.

Research output: Contribution to journalArticle

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