A hybrid immersed boundary-lattice Boltzmann/finite difference method for coupled dynamics of fluid flow, advection, diffusion and adsorption in fractured and porous media

Yu, Xu; Regenauer-Lieb, Klaus; Tian, Fang-Bao

doi:10.1016/j.cageo.2019.04.005

Cited by 35 publications

(13 citation statements)

References 39 publications

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“…The lattice Boltzmann method is an effective method to investigate the fluid flow mechanics − and widely used in fluid flow research. − The permeability of digital coal models can be simulated via the single-phase flow model. The D3Q15 model was used, which is the 3D lattice velocity and density model; the corresponding matrix E is given as eq ; and the boundary conditions are standard wall reflection boundary conditions. The macroscopic density and velocity of the fluid are as follows: where f i ( x , t ) is the particle distribution in the i direction as the function of time and location.…”

Section: Methodsmentioning

confidence: 99%

Simulating Coal Permeability Change as a Function of Effective Stress Using a Microscale Digital Rock Model

et al. 2021

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Investigating the coal microstructure under the influence of effective stress is vital for evaluating hydrocarbon gas production and CO2 geo-storage potential of deep coal seams. While several theories and approaches are reported in the past decade, the development of a representative dynamic model (e.g., using digital rock technology) is an attractive (although challenging) approach. The digital rock technology offers an effective way for investigating effective stress–cleat–permeability. In this research, we constructed a novel digital coal model, which included a microcleat system with a stress–strain function added to the coal matrix phase, and then simulated it under different effective stress conditions. Subsequently, the permeability of coal under different effective stress was calculated using the lattice Boltzmann method. Our results indicate an exponential correlation between coal permeability and effective stress. Moreover, the number of large microcleats on the digital coal samples decreased, while the small microcleats increased with a corresponding increase in effective stress. The simulation results were consistent with the experimental measurements. The results suggested that such novel digital core analysis methods offer an effective way of investigating the physical characteristics of the coal microstructure and simulating the permeability as a function of effective stress.

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Section: Methodsmentioning

confidence: 99%

Simulating Coal Permeability Change as a Function of Effective Stress Using a Microscale Digital Rock Model

et al. 2021

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“…For instance contemporary world is tackling with the challenges of ground water pollution due to diffusion of pollutant transported through rivers, use of drug-eluting stents to remove stenosis in human arteries after implanting stents into them and so forth. Vassilev and Yotov [1], Cesmelio ⌣ glu et al [2], Cesmelio ⌣ glu and Rivière [3], Rui and Zhang [4], Du and Liu [5] and Yua et al [6] glu and Rivière and Rui and Zhang have conducted theoretical and numerical analyses of various coupled fluid flow-solute transport systems of equations for variable type fluid viscosity coefficients. In this paper we have presented the variational multiscale (VMS) based subgrid stabilized finite element analysis of transient NS strongly coupled with unsteady advection-diffusion-reaction equation with variable coefficients (VADR).…”

Section: Introductionmentioning

confidence: 99%

Time dependent subgrid multiscale stabilized finite element analysis of fully coupled transient Navier–Stokes‐transport model

Kumar

Chowdhury

2022

Numerical Methods Partial

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In this paper, a fully coupled system of transient Navier–Stokes fluid flow model and unsteady variable coefficient advection–diffusion–reaction transport model has been studied through subgrid multiscale stabilized finite element method. In particular algebraic approach of approximating the subscales has been considered to arrive at the stabilized variational formulation of the coupled system and standard expressions for the stabilization parameters have been proposed. The unknown subgrid scales are considered to be time dependent. The consideration of the fluid viscosity coefficient depending upon the concentration of the solute mass makes this coupling strong. Fully implicit backward Euler scheme has been employed for time discretization. Stability analysis of the stabilized formulation has been conducted. Furthermore detailed derivations of both italicapriori$$ apriori $$ and italicaposteriori$$ aposteriori $$ error estimates for the stabilized finite element scheme have been carried out. The performance of the proposed scheme is validated for benchmark problems as well as the credibility of the stabilized method is also established well through various numerical experiments.

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“…A coupled immersed boundary-cascaded lattice Boltzmann method (IB-CLBM) [20] has been applied successfully for many complex FSI problems [18,[21][22][23][24][25]. The CLBM is a promising flow solver, which has been applied in the simulation of turbulent, multiphase [26], and thermal flows [27].…”

Section: Introductionmentioning

confidence: 99%

Strongly coupled peridynamic and lattice Boltzmann models using immersed boundary method for flow-induced structural deformation and fracture

Haeri

Pan

et al. 2021

Journal of Computational Physics

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A hybrid immersed boundary-lattice Boltzmann/finite difference method for coupled dynamics of fluid flow, advection, diffusion and adsorption in fractured and porous media

Cited by 35 publications

References 39 publications

Simulating Coal Permeability Change as a Function of Effective Stress Using a Microscale Digital Rock Model

Simulating Coal Permeability Change as a Function of Effective Stress Using a Microscale Digital Rock Model

Time dependent subgrid multiscale stabilized finite element analysis of fully coupled transient Navier–Stokes‐transport model

Strongly coupled peridynamic and lattice Boltzmann models using immersed boundary method for flow-induced structural deformation and fracture

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