Lattice Boltzmann simulation of immiscible two-phase flow with capillary valve effect in porous media

Zhiyuan Xu, Haihu Liu, Albert J. Valocchi

Research output: Contribution to journalArticlepeer-review

Abstract

A new algorithm for imposing the contact angle on solid surfaces is proposed in the Lattice Boltzmann color-gradient model. The capability and accuracy of this algorithm are validated by simulation of contact angles for a droplet resting on a flat surface and on a cylindrical surface. The color-gradient model with the proposed contact angle algorithm is then used to study the capillary valve effect in porous media. As a preliminary study, the capillary valve effect is explained by simulating immiscible two-phase displacement within a single-pore geometry. It is shown that the capillary valve effect is accurately captured by the present simulations. Further simulations of drainage and imbibition are also conducted to understand the capillary valve effect in an experiment-matched pore-network micromodel. The simulated results are found to agree quantitatively with the experimental results reported in literature, except for a few differences which result from the exclusion of contact angle hysteresis in the proposed algorithm.

Original languageEnglish (US)
Pages (from-to)3770-3790
Number of pages21
JournalWater Resources Research
Volume53
Issue number5
DOIs
StatePublished - May 1 2017

Keywords

  • Lattice Boltzmann method
  • capillary valve effect
  • contact angle hysteresis
  • multiphase flow
  • pore-scale simulation
  • wetting boundary condition

ASJC Scopus subject areas

  • Water Science and Technology

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