Lattice-Boltzmann simulations of the capillary pressure–saturation–interfacial area relationship for porous media

By M. Porter, M. G. Schaap, D. Wildenschild. 2009

220 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/8654d503a5f0dac9a1e69f9808a82321b9f65f2b

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In Computational Mechanics

In Electrical and Electronic Engineering

Citations in the corpus

Linking pore-scale interfacial curvature to column-scale capillary pressure (2012, background): “A few experimental and numerous modeling results have shown that a unique P–S–a surface exists for a given pore morphology, suggesting that the inclusion of a provides a unique solution for P, or at least removes most of the hysteretic effect [19,5,1,10,17,16].”
Direct simulations of two-phase flow on micro-CT images of porous media and upscaling of pore-scale forces (2014, methodology): “More recently, detailed simulation techniques which simulate the flow directly on the micro-CT images of porous media have been conducted using lattice-gas/Boltzmann methods [13,18,38,40,47,49] and the level set method [28,41].”
Challenges in modeling unstable two‐phase flow experiments in porous micromodels (2014, methodology): “This information can be used in an appropriate pore-scale model to compute the flow velocity in the pore space [Porter et al., 2009; Raeini et al., 2014].”
Modeling the velocity field during Haines jumps in porous media (2015, unknown): “S w relationship the hysteresis that is observed during drainage and imbibition experiments can be reduced (e.g. [10] [27] [30] [31] [40] [41] [42]).”
Modelling two-phase flow in porous media at the pore scale using the volume-of-fluid method (2012, methodology): “Therefore, the FSF formulation can be used to model fluid flow in complex geometries such as modelling two-phase flow on micro-CT images of porous rocks [55,11,18,15,12,13].”
The lattice Boltzmann method for isothermal micro-gaseous flow and its application in shale gas flow: a review (2015, methodology): “Shortly after its introduction, the LBM became an attractive technique to study single/multi-phase flow[34][35][36][37][38] and reactive transport[39][40] in porous media, also covering groundwater flow[41], fabric materials[42] and fuel cells[43][44] etc.”
Pore-Scale Simulations of Gas Displacing Liquid in a Homogeneous Pore Network Using the Lattice Boltzmann Method (2013, methodology): “…Blunt 2005; Valvatne et al. 2005; Piri and Blunt 2005), the lattice Boltzmann method (LBM) (Pan et al. 2004; Li et al. 2005; Ahrenholz et al. 2008; Porter et al. 2009; Hao and Cheng 2010; Parmigiani et al. 2011), particle-based methods such as dissipative particle dynamics (DPD) (Liu et al. 2007)…”
Pore-Scale Characterization of Two-Phase Flow Using Integral Geometry (2017, methodology): “For the experiment, the boundary conditions are applied at the inlet and outlet of the flow cell, whereas for pore-scale simulations the boundary conditions are applied at the top and bottom of the image domain (Porter et al. 2009).”
Non-equilibrium effects in capillarity and interfacial area in two-phase flow: dynamic pore-network modelling (2010, methodology): “The behaviour of the surface is very similar to the P c–Sw–anw surfaces shown by Reeves & Celia (1996), Held & Celia (2001), Joekar-Niasar et al. (2008, 2009) and Porter et al. (2009), although they only simulated P c–Sw–anw equilibrium points.”
Measurement and prediction of the relationship between capillary pressure, saturation, and interfacial area in a NAPL‐water‐glass bead system (2010, methodology): “In addition, the magnitude of the surfaces are similar to those presented by Porter et al. [2009] , but smaller (by a maximum factor of approximately 3) than those reported by Joekar‐Niasar et al. [2007].”