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Carbon dioxide (CO2) storage reservoirs commonly exhibit sedimentary architecture that reflects fluvial deposition. The heterogeneity in petrophysical properties arising from this architecture influences the dynamics of injected CO2. We…

Geophysics · Physics 2022-10-20 Naum I. Gershenzon , Robert W. Ritzi , David F. Dominic , Edward Mehnert

Understanding the migration and trapping of CO$_2$ in the subsurface is vital to geologic carbon storage projects. Traditional characterization methods employ steady-state co-injection experiments to determine relative permeability and…

The physical mechanism of CO2 trapping in porous media by capillary trapping (pore scale) incorporates a number of related processes, i.e. residual trapping, trapping due to hysteresis of the relative permeability, and trapping due to…

The injection of CO$_2$ into underground reservoirs provides a long term solution for anthropogenic emissions. A variable injection method (such as ramping the flow rate up or down) provides flexibility to injection sites, and could…

Fluid Dynamics · Physics 2023-07-27 Catherine Spurin , Sharon Ellman , Tom Bultreys , Hamdi Tchelepi

Geological heterogeneities essentially affect the dynamics of a CO2 plume in subsurface environments. Previously we showed how the dynamics of a CO2 plume is influenced by the multi-scale stratal architecture in deep saline reservoirs. The…

Steady-state upscaling of relative permeability is studied for a range of reservoir models. Both rate-dependent upscaling and upscaling in the capillary and viscous limits are considered. In particular, we study fluvial depositional…

Fluid Dynamics · Physics 2017-08-01 Lars Hov Odsæter , Carl Fredrik Berg , Alf Birger Rustad

A computationally efficient method to calculate the capillary pressure-saturation relations of immiscible multiphase flow on two-dimensional pore morphologies is presented here. The method is an extension of the Pore Morphology Method that…

Soft Condensed Matter · Physics 2025-01-14 Fernando Alonso-Marroquin , Martin P. Andersson

We discuss the problem of trapping and mobilization of nonwetting fluids during immiscible two phase displacement processes in porous media. Capillary desaturation curves give residual saturations as a function of capillary number.…

Materials Science · Physics 2007-05-23 A. Lucian , R. Hilfer

Carbon dioxide (CO2) trapping in capillary networks of reservoir rocks is a pathway to long-term geological storage. At pore scale, the CO2 trapping potential depends on injection pressure, temperature, and the rock's interaction with the…

We consider an immiscible two-phase flow in a heterogeneous one-dimensional porous medium. We suppose particularly that the capillary pressure field is discontinuous with respect to the space variable. The dependence of the capillary…

Analysis of PDEs · Mathematics 2009-11-06 Clément Cancès

In this study, we investigate the complexity of two-phase flow (air/water) in a heterogeneous soil sample by using complex network theory, where the supposed porous media is non-deformable media, under the time-dependent gas pressure. Based…

Computational Engineering, Finance, and Science · Computer Science 2010-08-11 Hamed. O. Ghaffari , Mamdou Fall , Erman. Evgin

In this two-part study we investigate the phase behaviour of a fluid spatially confined in a semi-infinite rectangular pore formed by three orthogonal walls and connected to a reservoir maintaining constant values of pressure and…

Soft Condensed Matter · Physics 2013-09-23 P. Yatsyshin , N. Savva , S. Kalliadasis

We consider a one-dimensional problem modeling two-phase flow in heterogeneous porous media made of two homogeneous subdomains, with discontinuous capillarity at the interface between them. We suppose that the capillary forces vanish inside…

Analysis of PDEs · Mathematics 2009-11-06 Clément Cancès

A lattice-gas model with heterogeneity is developed for the description of fluid condensation in finite sized one-dimensional pores of arbitrary shape. An exact solution of the model is presented for zero-temperature that reproduces the…

Statistical Mechanics · Physics 2013-08-09 Thomas P. Handford , Francisco J. Perez-Reche , Sergei N. Taraskin

Conventional measurements of two-phase flow in porous media often use completely immiscible fluids, or are performed over time-scales of days to weeks. If applied to the study of gas storage and recovery, these measurements do not properly…

Fluid Dynamics · Physics 2024-06-18 Ademola Isaac Adebimpe , Sajjad Foroughi , Branko Bijeljic , Martin J. Blunt

Wettability is a pore-scale property that has an important impact on capillarity, residual trapping, and hysteresis in porous media systems. In many applications, the wettability of the rock surface is assumed to be constant in time and…

Fluid Dynamics · Physics 2020-07-15 Abay M. Kassa , Sarah E. Gasda , K. Kumar , F. A. Radu

Capillary heterogeneity is increasingly recognized as a first-order control on gas plume migration and trapping in aquifers and storage formations. We show that spatial variability in the water-methane contact angle, determined by…

In this paper we consider a degenerate pseudoparabolic equation for the wetting saturation of an unsaturated two-phase flow in porous media with dynamic capillary pressure-saturation relationship where the relaxation parameter depends on…

Analysis of PDEs · Mathematics 2018-01-08 Josipa-Pina Milišić

In Part II of this study we consider two cases of three-phase coexistence. First, the capped capillary may allow for vapour, drop-like, and slab-like phases to coexist at the same values of temperature and chemical potential. Second, the…

Soft Condensed Matter · Physics 2013-09-23 P. Yatsyshin , N. Savva , S. Kalliadasis

Capillary droplets form due to surface tension when two immiscible fluids are mixed. We describe the motion of gravity-driven capillary droplets flowing through narrow constrictions and obstacle arrays in both simulations and experiments.…

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