Title: Quasistatic fluid-fluid displacement in porous media: Invasion-percolation through a wetting transition

Journal Article · · Physical Review Fluids (Online)
 [1];  [2];  [2];  [2];  [2];  [3];  [4];  [5]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); DOE/OSTI
  2. Univ. of Alberta, Edmonton, AB (Canada)
  3. McMaster Univ., Hamilton, ON (Canada)
  4. Univ. of Oxford (United Kingdom)
  5. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

We study the influence of wettability on the morphology of fluid-fluid displacement through analog porous media in the limit of vanishing flow rates. We introduce an invasion-percolation model that considers cooperative pore filling and corner-flow mechanisms and captures interface motion at the pore scale for all quasistatic flow regimes between strong drainage and strong imbibition. We validate the method against recent experimental observations of wetting transition in microfluidic cells patterned with circular posts and we use it to explore the sensitivity of fluid invasion to wettability heterogeneity, post spacing, and post height. Furthermore, our model therefore extends the Cieplak-Robbins description of quasistatic fluid invasion by reproducing the wetting transition in strong imbibition, a feature that requires incorporating three-dimensional effects.

Research Organization:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC)
Grant/Contract Number:
SC0018357
OSTI ID:
1612959
Journal Information:
Physical Review Fluids (Online), Journal Name: Physical Review Fluids (Online) Journal Issue: 10 Vol. 3; ISSN 2469-990X
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (44)

Pore-scale modeling of fluid transport in disordered fibrous materials journal July 2002
Infiltration of fibrous preforms by a pure metal: journal August 1992
Channeling in packed columns journal January 1952
A study of the advancing interface. I. Interface shape in liquid—gas systems journal February 1975
Physically-based network modeling of multiphase flow in intermediate-wet porous media journal June 1998
Flow in porous media — pore-network models and multiphase flow journal June 2001
A critical review of two-phase flow in gas flow channels of proton exchange membrane fuel cells journal August 2010
Capillary displacement and percolation in porous media journal June 1982
Mechanisms of the displacement of one fluid by another in a network of capillary ducts journal October 1983
Numerical models and experiments on immiscible displacements in porous media journal April 1988
Preferential Mode of gas invasion in sediments: Grain-scale mechanistic model of coupled multiphase fluid flow and sediment mechanics journal January 2009
Modeling and simulation of pore-scale multiphase fluid flow and reactive transport in fractured and porous media journal January 2009
The Role of Local Instabilities in Fluid Invasion into Permeable Media journal March 2017
Effects of Pore-Scale Disorder on Fluid Displacement in Partially-Wettable Porous Media journal October 2016
Wettability control on multiphase flow in patterned microfluidics journal August 2016
Invasion percolation: a new form of percolation theory journal October 1983
The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
  • Saffman, Phillip Geoffrey; Taylor, Geoffrey Ingram
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 245, Issue 1242, p. 312-329 https://doi.org/10.1098/rspa.1958.0085
journal June 1958
Diffusion-Limited Aggregation [and Discussion] journal May 1989
Stabilizing Fluid-Fluid Displacements in Porous Media Through Wettability Alteration journal May 2015
Creating Isolated Liquid Compartments Using Photopatterned Obstacles in Microfluidics journal April 2017
Morphodynamics of Fluid-Fluid Displacement in Three-Dimensional Deformable Granular Media journal February 2018
Influence of contact angle on quasistatic fluid invasion of porous media journal June 1990
Dynamic network modeling of two-phase drainage in porous media journal January 2005
Crossover from fingering to fracturing in deformable disordered media journal October 2010
Wettability controls slow immiscible displacement through local interfacial instabilities journal November 2016
Capillary Fracturing in Granular Media journal June 2012
Revisiting the Saffman-Taylor Experiment: Imbibition Patterns and Liquid-Entrainment Transitions journal July 2014
Wettability Stabilizes Fluid Invasion into Porous Media via Nonlocal, Cooperative Pore Filling journal October 2015
Forced Imbibition in Porous Media: A Fourfold Scenario journal November 2017
Forced Wetting Transition and Bubble Pinch-Off in a Capillary Tube journal February 2018
Fractal Dimension of Dielectric Breakdown journal March 1984
Diffusion-Limited Aggregation and Two-Fluid Displacements in Porous Media journal April 1984
Invasion Percolation in an Etched Network: Measurement of a Fractal Dimension journal May 1985
Pore-Scale Viscous Fingering in Porous Media journal October 1985
Viscous Fingering Fractals in Porous Media journal December 1985
Interfacial Stability of Immiscible Displacement in a Porous Medium journal October 1986
Dynamical Transition in Quasistatic Fluid Invasion in Porous Media journal May 1988
Fluid-Driven Deformation of a Soft Granular Material journal February 2015
Diffusion-limited aggregation journal May 1983
Experimental Study of CO2 Injection Into Saline Formations journal December 2009
Experimental Study of CO2 Injection Into Saline Formations conference November 2007
The Instability of Slow, Immiscible, Viscous Liquid-Liquid Displacements in Permeable Media journal December 1959
Diffusion limited propagation of burning fronts conference May 2010
Forced imbibition in porous media: a fourfold scenario text January 2017

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A Dynamic Network Simulator for Immiscible Two-Phase Flow in Porous Media preprint January 2019
Phase diagram of quasi-static immiscible displacement in disordered porous media journal July 2019
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Impact of Confining Stress on Capillary Pressure Behavior During Drainage Through Rough Fractures journal July 2019
Comprehensive comparison of pore-scale models for multiphase flow in porous media journal June 2019
Connectivity enhancement due to film flow in porous media journal September 2019