Transport in Porous Media最新文献

In this paper, we study the Forchheimer-extended Darcy–Brinkman–Boussinesq fluid flow through a thin channel filled with porous medium using methods of asymptotic analysis. The fluid inside the channel is cooled (or heated) by the surrounding medium, and the flow is governed by the prescribed pressure drop between the pipe’s ends. Employing asymptotic analysis with respect to the small parameter representing the channel’s thickness, we derive a first-order asymptotic approximation for the velocity, pressure and temperature. The velocity approximation explicitly acknowledges the thermal effects as well as the inertial effects. These effects are clearly visualized in the provided numerical examples. Finally, we rigorously justify the obtained asymptotic model via the error estimates in suitable norms in order to indicate the order of accuracy of the proposed approximate solution.

Wettability, as represented by contact angles, impacts the multifluid configuration inside porous media, which determines the media’s upscaled behavior. An accurate description of the wettability is therefore crucial in determining and understanding macroscopic flow behavior, such as relative permeability and capillary pressure. Traditional experimental and numerical studies determine the aggregate wettability of a medium as a single parameter assigned to the whole sample. However, the wettability could vary spatially throughout the domain. Advances in micro-CT scanning have improved the capability to see the solid and fluid distribution inside porous media. This has led to more recent developments of different numerical methods to determine the wettability distribution based on segmented micro-CT images. This paper reviews different numerical methods for wettability characterization on three-dimensional (3D) pore-scale images of fluid distribution, concerning their methodology, accuracy, and computational cost where applicable. This study tries to cover all numerical methods for characterizing wettability distribution based on the segmented micro-CT images as of the time of this manuscript. We have divided the methods into six categories: geometry-, topology-, multiphase-, machine learning-, thermodynamic-, and event-based methods. Developments within each category are reviewed, and the different categories are compared. While no category stands out, as they all have different strengths and weaknesses, the geometry-based method tends to be most versatile and robust.

This article focuses on single phase compressible gas flow in porous media, especially hydrogen (H_2) or other gases like air. It includes a comprehensive literature review on analytical approaches to gas flow, Klinkenberg effect, and other effects like gravitational acceleration (super-gravity cases). The review investigates previous findings for ideal gas flow under isothermal conditions under various conditions – including one-dimensional (1D) permeametric flow conditions – taking into account perfect gas compressibility and the Klinkenberg effect due to gas slippage in fine pores. Usually, gravitational acceleration is neglected in the gas flow literature: this classical assumption is assessed quantitatively, and a new 1D analytical solution is developed at steady state for the case of strong gravitational acceleration, as may arise under centrifugal conditions. On the other hand, new 1D analytical solutions are developed for space-time gas pressure profiles and for mass flux density profiles in the porous column, with or without Klinkenberg effect. These analytical solutions are tested and compared to numerical simulations, both Finite Volume and Finite Element. Both the gas pressure profiles and the mass flux density profiles approach the exact steady state at large times. Furthermore, it is is demonstrated that the proposed analytical solution for gas pressure is a fair approximation over a broad range of time scales, from early times up to large times approaching steady state.

The steady free convection and entropy generation in a differentially heated square inclined enclosure filled with a saturated bidisperse porous medium (BDPM) is analysed. The governing equations of the model, consisted by the continuity equation, Darcy equation and energy for both phases, containing interphase transfer terms, are transformed in terms of non-dimension variables. The numerical solution of both phases of flow and heat transfer is achieved through the utilisation of a modified finite difference technique. After the process of discretisation, the algebraic system is solved using the successive over relaxation method. The influence of the involved parameters on the flow and heat transfer characteristics (stream functions, isotherms, and Nusselt numbers) is observed as well as the entropy generation for monodisperse and bidisperse porous medium cases. The results are focused on the behaviour of the flow at different angles of the inclination of the cavity. A strong correlation was observed between the present findings and previously published results in the open literature, for a vertical cavity.

The water–gas dispersion system, in which gas is stabilized as microsized bubbles within a liquid phase, constitutes a stable two-phase system with a uniform spatial distribution. This method has proven effective for enhancing oil recovery in low-permeability reservoirs, demonstrating notable success in field trials. This study investigated the pore-scale mechanism of microbubble-induced vortex dynamics on residual oil mobilization through integrated microscopic visualization experiments and numerical simulations. Key findings reveal three critical phenomena: (1) Microbubble coalescence generates microscale vortices at merged interfaces through surface energy release; (2) these vortices enhance multiphase transport via three coupled mechanisms, intensifying interfacial energy–momentum transfer to modify oil film flow regimes, amplifying shear stress for oil film detachment, and accelerating mass transfer to reduce crude oil viscosity through oil–water–gas mixing; (3) dynamic pressure fluctuations associated with vortex formation–dissipation cycles exhibit a maximum pressure differential of 29.56 kPa, synergistically mobilizing residual oil trapped in isobaric pore throats and blind-end structures—the primary reservoirs of post waterflood residual oil. The interaction between microscale vortices and pore-scale turbulence promotes mutual amplification, increasing the pressure fluctuation intensity while increasing the fluid sweep efficiency. These insights establish a theoretical foundation for optimizing microbubble systems through controlled vortex dynamics, offering strategic implications for improving capillary-trapped oil recovery in complex porous media.

This paper presents a comprehensive modeling framework for turbulent flow and phase-change phenomena in porous media. The study revisits the double-decomposition concept for macroscopic turbulence modeling, where instantaneous variables are averaged in both time and space, leading to distinct forms of the governing equations. The model extends the “One-Energy Equation Model” to simulate melting and solidification of pure substances and alloys, treating the solid phase as a porous medium with low porosity and permeability. During phase transition, thermal equilibrium is assumed in the mushy zone, while viscous and form drag effects are adjusted based on temperature. The latent heat is treated implicitly in the energy equation, and the liquid fraction is updated iteratively. Numerical solutions employ the SIMPLE algorithm with the Strong Implicit Procedure for inner iterations. Validation against existing literature demonstrates the model’s accuracy for pure substances.

We introduce a framework for analysing thermosolutal convection within a Kelvin–Voigt fluid of first order using a Brinkman–Darcy porous medium. This setup involves heating and salting from below, leading to a scenario where the thermal and solutal gradients compete: Thermal gradients tend to destabilise the system, whereas solutal gradients have a stabilising effect. Additionally, we explore scenarios where heating occurs from below while salting is introduced from above. This study examines how couple stresses affect the dynamics. We calculate the threshold at which instability occurs, noting the complexity of the instability surface’s shape. Factors such as the Kelvin–Voigt property, couple stresses, Brinkman, and Prandtl numbers are significant, stabilising forces, especially when the convection exhibits oscillatory behaviour. Details on the instability surface’s quantitative aspects are provided. Furthermore, we touch upon the issue of nonlinear stability in this context.

Permeability is an important parameter characterizing ablative thermal protection system (TPS) materials as it impacts the internal pressure that builds within the material during the production of pyrolysis gas. Experiments to measure permeability must provide good sealing to ensure that the measured flow is only through the sample of interest; however, for TPS materials that have been partially charred, the sample geometry can complicate this measurement. Prior measurement techniques were found to be inadequate for such charred samples. A new method was developed which can robustly and repeatably mount and seal irregularly shaped centimeter scale samples of porous media such that their Darcy permeabilities and Klinkenberg molecular slip coefficients can be measured. Such measurements were achieved using steady flows of nitrogen at absolute pressures up to 1000 Torr. Two techniques were devised for processing test articles to be compatible with the experiment. The first of these methods involves the direct casting of porous media into thermoset resin and can accommodate uneven or irregularly shaped test articles as occur for charred TPS. The second method involves the mounting of porous media into a constrictive sleeve lined with thermoplastic adhesive. This second method better preserves the two outer surfaces of the TPS sample. A commercially available porous TPS material, Zuram, was subjected to partial thermal decomposition in nitrogen and then studied using the developed techniques. The method for sealing the samples was found to enable measurements on these charred samples and showed the permeability increases by a factor of 4 in a nonlinear manner during the early stages of mass loss.

The Connectedness Theory is a mathematical approach to understanding the interactions between any number of phases in a complex medium that have different physical properties. It arose from the development of an Archie’s Law for n-phases when it is applied to fluid permeability. We have shown that Connectedness Theory allows for relative permeabilities to be expressed as ratios of connectednesses. This approach demonstrates why the sum of the non-wetting phase and wetting phase relative permeabilities is always less than unity. In its most general form the Connectedness Theory for two-phase relative permeabilities has eight independent parameters and allows both the fractions of immobile and mobile wetting phase and non-wetting phase, and the phase exponents to vary as a function of wetting phase and non-wetting phase saturation. However, if we make the common assumption that the irreducible wetting phase saturation and residual non-wetting phase saturation are constant and that the phase exponents are also constant, we can use the Connectedness Theory to prove the Brooks and Corey approach to relative permeability modelling and to relate its lambda parameters to phase exponents. In doing so, we also show that the wetting phase relative permeability endpoint is not an independent parameter but arises from variability of phase exponents and hence connectednesses as a function of fluid saturations, and that the two Brooks and Corey coefficients are interdependent. Finally, the Connectedness Theory also predicts that in principle one relative permeability curve can be calculated from the other. Since the theory upon which it is based is valid for any number of different phases, the two-phase scenario followed by most of this work is easily extended to three-phase relative permeabilities.

Super-resolution imaging techniques use deep learning to create large-scale, high-resolution images by combining a low-resolution image encompassing a large volume with high-resolution images on a smaller volume; however, applications to date have been limited to determining the pore structure only. We have successfully applied an enhanced deep super-resolution (EDSR) method to three-dimensional X-ray images of two fluid phases in the pore space of water-wet and mixed-wet Bentheimer sandstone, producing high-resolution results that capture both the pore space and two fluid phases within it, while expanding the field of view. We calculated and compared the geometrical and physical properties, including porosity, permeability, saturation, interfacial area, interfacial curvature, and contact angle derived from high-resolution, super-resolution, and low-resolution images. This comparison confirms that our super-resolution outcomes are consistent with the ground truth and far superior to low-resolution results.