A multiscale LBM–TPM–PFM approach for modeling of multiphase fluid flow in fractured porous media

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Foam has a wide range of applications, where the study of its properties and mechanical response has gained a lot of attention in recent years. To deepen the understanding of foam's behavior, the underlying research proposes a new study to determine the deformation‐dependent permeability of foam using a combination of CT scans and the Lattice‐Boltzmann method (LBM). Specifically, the three‐dimensional mesoscopic structure of the foam is reconstructed using nano‐CT images at different compression levels including uncompressed, 15, 25, 35, and 50 percentages of compression. After processing the data from the CT scans, the LBM is applied to simulate single‐phase fluid flow in the deformed porous domain. The permeability at each corresponding deformation stage is characterized and determined by the LBM using the open‐access Palabos software. In this work, the deformation‐dependent intrinsic permeability tensor is considered by applying a meso‐macro hierarchic upscaling scheme. According to the CT scan outcomes, the compression level is inversely proportional to the porosity. The physical phenomenon is discussed in detail and the effect of image resolution on the permeability computation accuracy is investigated.

Section: 𝑑𝑣mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Investigating the impact of deformation on foam permeability through CT scans and the Lattice‐Boltzmann method

Phu,

Navrath,

Heider

et al. 2023

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“…Nevertheless, crucial data from the microscopic structure are needed for the TPM model, such as the intrinsic permeability. Therefore, we combine the mesoscopic lattice Boltzmann method (LBM) [8] with the TPM and utilize a meso-macro hierarchic upscaling scheme (LBM-TPM) [4,5] to investigate the hydraulic anisotropy and retention behavior in deformable Bentheimer sandstones. Herein, the porous sandstones are subjected to compression at several increments of strain.…”

Section: Introductionmentioning

confidence: 99%

A multiscale study of the retention behavior and hydraulic anisotropy in deformable porous media

Chaaban

Heider

Markert

2023

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The following proceeding presents a multiscale approach to investigate the hydraulic anisotropy and retention behavior in porous materials involving deformation effects. Concerning the former, single-phasic fluid flow simulations using the lattice Boltzmann method (LBM) are initially accomplished at the pore-level geometry of Bentheimer sandstones provided by X-ray microscopy at several degrees of compression to compute the intrinsic permeability. Due to the anisotropic nature of the Bentheimer sandstones, favored pore channels for fluid flow are witnessed within the domain. Therefore, it is important to understand the alteration of the preferred flow paths at each degree of compression. In this regard, we propose a new upscaling approach between the LBM and the macroscopic Theory of Porous Media (TPM) to accurately compute the macroscopic hydraulic structural tensor, which plays a crucial role in the calculation of the deformation-dependent anisotropic specific permeability. As for the latter, the Shan-Chen (SC) model of the LBM is applied at each strain level to model biphasic fluid flow via the unsaturated porous domain. Herein, the retention curves of the drainage and imbibition processes of each deformed state are computed. In turn, the comparison among the results shows the effect of variation of the strain degree on the retention behavior.

“…From the mathematical modeling aspect, pore-scale approaches [10,[13][14][15][16] and macroscopic approaches [11] can widely be found in the literature. In Zimmerman and Homsy [14], the nonlinear behavior of dispersion-dependent viscous fingering is studied, where the splitting and coalescence of fingers can be observed using different nonlinear simulations.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of miscible multiphase flow and fluid–fluid interaction in deformable porous media

Peters,

Heider,

Markert

2023

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The focus of the underlying research work is on the macroscopic modeling of unstable multiphase fluid flow in deformable porous media, where a lower‐viscous fluid is displaced by a more viscous fluid. This process leads to the formation of channel‐like networks, called viscous fingering. The instability effect is involved in a wide range of different fields in engineering. Some of the most common applications include carbon sequestration to store carbon dioxide (CO2) in underground reservoirs, contaminant transport in geostructures, in industrial processes, such as filtration, catalytic reactions, and in the operation of polymer electrolyte membrane fuel cells with multiphase flow in the gas diffusion layers. In this work, ideal miscible water–glycerin fluids are considered. It is assumed that the interacting fluids in the deformable porous media are incompressible. In addition, a dispersion–diffusion law is applied to capture the fluid–fluid interactions. The presence of a deformable porous material adds additional effects to the problem of the multiphase flow in porous media. The stresses in the porous solid matrix lead to changes in the porosity and influence the flow velocity of the fluids. To couple the deformable porous media with the multiphase flow, a macroscopic approach is used that relies on the theory of porous media. For the porous solid matrix, a linear elastic material model within small strains assumption is applied. The influence of the deformation‐dependent porosity on the instability is studied for 2D simulations, such as a multilayered geometry with different elastic parameters. The presented coupled nonlinear system of differential equations is simulated with the finite element method. Furthermore, a stabilization technique based on the quasi‐compressibility method is used.