An ising-based simulator for capillary action in porous media

Nitish Nair, J.M.V.A. Koelman

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)

Abstract

Multiphase flows in porous media are encountered in several contexts—e.g., hydrocarbon recovery operations, battery electrodes, microfluidic devices, etc. Capillary-dominated flows are interesting due to the complex interplay of interfacial properties and pore geometries. Conventional hydrodynamic flow solvers are computationally inefficient in the capillary-dominated regime, particularly in complex pore structures. The algorithm developed here specifically targets this regime to reduce simulation times. We minimise the fluid–fluid and fluid–solid interaction energies through an approach inspired by the ferromagnetic Ising model. We validate the algorithm on (1) model pore geometries with analytical solutions for capillary action, and (2) rocks with available mercury porosimetry data. We validate its predictions for model geometries and sandstones using (1) curvatures calculated from theories developed by Mayer–Stowe–Princen, Ma and Morrow, and Mason and Morrow; (2) predictions from GeoDict, a commercial software package, which also includes a state-of-the-art drainage simulator; (3) mercury porosimetry data. Drainage capillary pressure curves predicted for Bentheimer and Fontainebleau rocks reasonably match porosimetry data.

LanguageEnglish
Pages413–437
JournalTransport in Porous Media
Volume124
Issue number2
DOIs
StatePublished - 1 Sep 2018

Fingerprint

Porous materials
Simulators
Mercury
Drainage
Fluids
Geometry
Rocks
Capillary flow
Ising model
Capillarity
Multiphase flow
Pore structure
Hydrocarbons
Sandstone
Microfluidics
Software packages
Hydrodynamics
Recovery
Electrodes

Keywords

  • Capillary action
  • Capillary pressure curve
  • Digital rock
  • Mercury porosimetry
  • Porous media
  • Primary drainage

Cite this

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An ising-based simulator for capillary action in porous media. / Nair, Nitish; Koelman, J.M.V.A.

In: Transport in Porous Media, Vol. 124, No. 2, 01.09.2018, p. 413–437.

Research output: Contribution to journalArticleAcademicpeer-review

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