Multiphase lattice Boltzmann simulations for porous media applications

Liu, Haihu; Kang, Qinjun; Leonardi, Christopher; Schmieschek, Sebastian; Narváez, Ariel; Jones, Bruce D.; Williams, John R.; Valocchi, Albert J.; Harting, Jens

doi:10.1007/s10596-015-9542-3

Cited by 363 publications

(260 citation statements)

References 211 publications

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“…[46][47][48] As we know, it is still challenging to simulate a wide range of viscosity ratios for many existing multiphase LB models. 30 To examine the range of viscosity ratios that the present model can access, we simulate the displacement of a more viscous fluid by a less viscous one in the heterogeneous pore network at log Ca = −5. The dynamic viscosities of both fluids are chosen as η n = {0.005, 0.01, 0.02, 0.04} and η w = {0.1, 0.3, 0.5} in which η w is limited to not more than 0.5 because as η (or τ) increases, so does the Knudsen number (defined as the ratio of the mean free path to the characteristic length scale).…”

Section: -13mentioning

confidence: 99%

Lattice Boltzmann simulation of immiscible fluid displacement in porous media: Homogeneous versus heterogeneous pore network

2015

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Injection of anthropogenic carbon dioxide (CO 2 ) into geological formations is a promising approach to reduce greenhouse gas emissions into the atmosphere. Predicting the amount of CO 2 that can be captured and its long-term storage stability in subsurface requires a fundamental understanding of multiphase displacement phenomena at the pore scale. In this paper, the lattice Boltzmann method is employed to simulate the immiscible displacement of a wetting fluid by a non-wetting one in two microfluidic flow cells, one with a homogeneous pore network and the other with a randomly heterogeneous pore network. We have identified three different displacement patterns, namely, stable displacement, capillary fingering, and viscous fingering, all of which are strongly dependent upon the capillary number (Ca), viscosity ratio (M), and the media heterogeneity. The non-wetting fluid saturation (S nw ) is found to increase nearly linearly with log Ca for each constant M. Increasing M (viscosity ratio of non-wetting fluid to wetting fluid) or decreasing the media heterogeneity can enhance the stability of the displacement process, resulting in an increase in S nw . In either pore networks, the specific interfacial length is linearly proportional to S nw during drainage with equal proportionality constant for all cases excluding those revealing considerable viscous fingering. Our numerical results confirm the previous experimental finding that the steady state specific interfacial length exhibits a linear dependence on S nw for either favorable (M ≥ 1) or unfavorable (M < 1) displacement, and the slope is slightly higher for the unfavorable displacement. C 2015 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License. [http://dx

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Section: -13mentioning

confidence: 99%

Lattice Boltzmann simulation of immiscible fluid displacement in porous media: Homogeneous versus heterogeneous pore network

2015

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“…Direct methods for two-phase fluid flow have a significantly higher computational cost than single phase flow models and are typically solved using Lattice Boltzman methods, as these are highly parallel and relatively easy to implement (Dupuis and Yeomans 2004;Gao et al 2012;Kusumaatmaja et al 2006;Yeomans 2007, 2010;Liu et al 2014;Ramstad et al 2010). The Lattice Boltzmann method is slightly different to the more familiar finite volume and finite element methods.…”

Section: Computational and Modelling Challengesmentioning

confidence: 99%

Challenges in imaging and predictive modeling of rhizosphere processes

et al. 2016

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Background Plant-soil interaction is central to human food production and ecosystem function. Thus, it is essential to not only understand, but also to develop predictive mathematical models which can be used to assess how climate and soil management practices will affect these interactions. Scope In this paper we review the current developments in structural and chemical imaging of rhizosphere processes within the context of multiscale mathematical image based modeling. We outline areas that need more research and areas which would benefit from more detailed understanding. Conclusions We conclude that the combination of structural and chemical imaging with modeling is an incredibly powerful tool which is fundamental for understanding how plant roots interact with soil. We emphasize the need for more researchers to be attracted to this area that is so fertile for future discoveries. Finally, model building must go hand in hand with experiments. In particular, there is a real need to integrate rhizosphere structural and chemical imaging with modeling for better understanding of the rhizosphere processes leading to models which explicitly account for pore scale processes.

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“…Liu et al [14] reviewed simulation of single-phase and multiphase multicomponent flow at pore level using the LB method. They reviewed different LB methods, discussed their advantages and disadvantages, and concluded that one method cannot be necessarily the most preferred one.…”

Section: Focus Of This Special Issuementioning

confidence: 99%

Pore-scale modelling techniques: balancing efficiency, performance, and robustness

Niasar

2016

Comput Geosci

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BackgroundPore-scale modelling is now a well-established progressive research field, which has significantly contributed to fundamental understanding of flow and transport in porous media in the last five decades. Examples can be (and not limited to) reservoir engineering [1][2][3][4], environmental hydrogeology [5], paper and pulp industry [6], fuel cells [7], biology, and medical science [8].The first pore-scale model was developed by Fatt in 1956 [9], who simulated the capillary pressure curve as a function of saturation using a pore-network model. After this legendary work, pore-network models, mainly dominated by quasi-static pore-network models, were developed and applied to reservoir engineering and hydrogeology problems. The pore-network modelling opened up a new horizon in understanding the constitutive relations for two-phase flow such as capillary pressure and relative permeability curves [10,11], and at a later stage exploring the transport phenomena in porous media [12]. With further technological developments in micromodel and X-ray imaging facilities and computational infrastructures, quantitative pore-network models were further developed [13]. Almost all pore-network models for different applications share the common principles: they require analytical or semianalytical solutions for a given specific research problem at the pore scale, meaning that the domain geometry requires to be well defined. That implies that the idealization of pore space to interconnected simplified geometries is inevitable.To alleviate this restriction of pore-network models, direct numerical modelling techniques are employed where the equations are solved numerically on the original pore space without any geometrical idealization. The most commonly used method is lattice Boltzmann (LB) modelling. However, there are several other methods such as smoothed particle hydrodynamics (SPH), level set (LS), volume of fluids (VoF), and density functional method (DFM), which can handle the numerical simulation within the exact geometry. Focus of this special issueThis special issue presents reviews of three major direct numerical methods, namely LB, SPH, and DFM, to simulate complex processes in porous media. Liu et al. [14] reviewed simulation of single-phase and multiphase multicomponent flow at pore level using the LB method. They reviewed different LB methods, discussed their advantages and disadvantages, and concluded that one method cannot be necessarily the most preferred one. In another review paper by Tartakovsky et al. [15], the SPH method as a Lagrangian method based on a meshless discretization of partial differential equations is discussed. They present the Navier-Stokes and advection-diffusion-reaction equations, implementation of various boundary conditions, and time integration of the SPH equations, and they discuss applications of the SPH method for modelling porescale multiphase flows and reactive transport in porous and fractured media. In another review paper by Dinariev and Evseev [16], applications of densit...

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Multiphase lattice Boltzmann simulations for porous media applications

Cited by 363 publications

References 211 publications

Lattice Boltzmann simulation of immiscible fluid displacement in porous media: Homogeneous versus heterogeneous pore network

Lattice Boltzmann simulation of immiscible fluid displacement in porous media: Homogeneous versus heterogeneous pore network

Challenges in imaging and predictive modeling of rhizosphere processes

Pore-scale modelling techniques: balancing efficiency, performance, and robustness

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