An adaptive lattice Boltzmann scheme for modeling two‐fluid‐phase flow in porous medium systems

Dye, A. L.; McClure, James E.; Adalsteinsson, David; Miller, Cass T.

doi:10.1002/2015wr018279

Cited by 11 publications

(4 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[]. Among these models, the color‐gradient model was extensively applied to simulate immiscible two‐phase flow in porous media [ Tölke et al ., ; Huang et al ., ; Liu et al ., ; Dye et al ., ; Jiang and Tsuji , ] because of its advantages such as high numerical accuracy, strict mass conservation for each fluid and numerical stability for a broad range of viscosity ratios.…”

Section: Introductionmentioning

confidence: 99%

“…For a comprehensive review of these models, interested readers are referred to Chen and Doolen [1998], Huang et al [2015], and Liu et al [2016]. Among these models, the colorgradient model was extensively applied to simulate immiscible two-phase flow in porous media [T€ olke et al, 2002;Huang et al, 2014;Liu et al, 2015b;Dye et al, 2016;Jiang and Tsuji, 2016] because of its advantages such as high numerical accuracy, strict mass conservation for each fluid and numerical stability for a broad range of viscosity ratios.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Liu

Valocchi

2017

Water Resources Research

115

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Liu

Valocchi

2017

Water Resources Research

115

View full text Add to dashboard Cite

show abstract

“…Using X-ray computed microtomography, studies have coupled experimental observations of real and artificial soil with LBM to determine pore-scale fluid distributions and movement [Landry et al, 2014;Sukop et al, 2008]. Microfluidic devices have been used to study both physical [Karadimitriou et al, 2014[Karadimitriou et al, , 2013Liu et al, 2011;Pyrak-Nolte et al, 2008] and biological [Markov et al, 2010a;Olson et al, 2004;Rubinstein et al, 2015;Singh and Olson, 2011;Stanley et al, 2016;Tang et al, 2013] pore-scale soil phenomena, and have been combined with LBM to evaluate fluid flow phenomena [Dye et al, 2016;Gray et al, 2015] and reactive transport [Yoon et al, 2012] at the pore scale. Precise control of micromodel physical structure can be achieved, and devices cast in polydimethylsiloxane (PDMS) can be fabricated with similar surface properties to quartz sand [Roman and Culbertson, 2006].…”

Section: Introductionmentioning

confidence: 99%

Pore‐scale water dynamics during drying and the impacts of structure and surface wettability

Cruz

Furrer

Guo

et al. 2017

Water Resources Research

View full text Add to dashboard Cite

Plants and microbes secrete mucilage into soil during dry conditions, which can alter soil structure and increase contact angle. Structured soils exhibit a broad pore size distribution with many small and many large pores, and strong capillary forces in narrow pores can retain moisture in soil aggregates. Meanwhile, contact angle determines the water repellency of soils, which can result in suppressed evaporation rates. Although they are often studied independently, both structure and contact angle influence water movement, distribution, and retention in soils. Here drying experiments were conducted using soil micromodels patterned to emulate different aggregation states of a sandy loam soil. Micromodels were treated to exhibit contact angles representative of those in bulk soil (8.4° ± 1.9°) and the rhizosphere (65° ± 9.2°). Drying was simulated using a lattice Boltzmann single‐component, multiphase model. In our experiments, micromodels with higher contact angle surfaces took 4 times longer to completely dry versus micromodels with lower contact angle surfaces. Microstructure influenced drying rate as a function of saturation and controlled the spatial distribution of moisture within micromodels. Lattice Boltzmann simulations accurately predicted pore‐scale moisture retention patterns within micromodels with different structures and contact angles.

show abstract

“…Contact angle hysteresis due to surface roughness, chemical heterogeneity and other flow dynamic effects must be considered when interpreting the data. In addition, how long it takes an interface to return to its equilibrium condition after an advancing or receding displacement is an open question [24,39,40]. For an imbibition process, there are complex sequences of cooperative dynamics at the pore-scale where interfaces are advancing and receding, providing a range of various contact angles.…”

Section: Simulation Data Analysismentioning

confidence: 99%

Linking continuum-scale state of wetting to pore-scale contact angles in porous media

Sun

McClure

Mostaghimi

et al. 2020

Journal of Colloid and Interface Science

Self Cite

View full text Add to dashboard Cite

Wetting phenomena play a key role in flows through porous media. Relative permeability and capillary pressure-saturation functions show a high sensitivity to wettability, which has different definitions at the continuum-and pore-scale. At the continuum-scale, the state of wetting is defined as Amott-Harvey or USBM (United States Bureau of Mines) indices by capillary pressure drainage and imbibition cycles. At the pore-scale, the concept of contact angle is used, which until recently was not experimentally possible to determine within an opaque porous medium. Recent progress on measurements of pore-scale contact angles by X-ray computed micro-tomography has therefore attracted significant attention in various research communities. In this work, the Gauss-Bonnet theorem is applied to provide a direct link between capillary pressure saturation (P c (S w )) data and measured distributions of pore-scale contact angles. We propose that the wetting state of a porous medium can be described in terms of geometrical arguments that constrain the morphological state of immiscible fluids. The constraint describes the range of possible contact angles and interfacial curvatures that can exist for a given system. We present measurements in a tested sandstone for which the USBM index, P c (S w ), and pore-scale contact angles are measured. Additional studies are also performed using two-phase Lattice Boltzmann simulations to test a wider range of wetting conditions. We show that mean pore-scale contact angle measurements can be predicted from petrophysical data within a few differences. This provides a general framework on how continuum-scale data can be used to describe the geometrical state of fluids within porous media.

show abstract

An adaptive lattice Boltzmann scheme for modeling two‐fluid‐phase flow in porous medium systems

Cited by 11 publications

References 46 publications

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

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

Pore‐scale water dynamics during drying and the impacts of structure and surface wettability

Linking continuum-scale state of wetting to pore-scale contact angles in porous media

Contact Info

Product

Resources

About