The origin of non-thermal fluctuations in multiphase flow in porous media
M Rücker, A Georgiadis, RT Armstrong, H Ott… - Frontiers in …, 2021 - frontiersin.org
Core flooding experiments to determine multiphase flow in properties of rock such as
relative permeability can show significant fluctuations in terms of pressure, saturation, and …
relative permeability can show significant fluctuations in terms of pressure, saturation, and …
A semi-discrete Lagrangian–Eulerian scheme for hyperbolic-transport models
In this work, we introduce a new semi-discrete scheme based on the so-called no-flow
curves and its numerical analysis for solving initial value problems that involve one …
curves and its numerical analysis for solving initial value problems that involve one …
Travelling Waves in a PDE–ODE Coupled Model of Cellulolytic Biofilms with Nonlinear Diffusion
We analyze travelling wave (TW) solutions for nonlinear systems consisting of an ODE
coupled to a degenerate PDE with a diffusion coefficient that vanishes as the solution tends …
coupled to a degenerate PDE with a diffusion coefficient that vanishes as the solution tends …
High order numerical methods for flows with hysteretic fluxes
H Fan, CW Shu - Applied Numerical Mathematics, 2023 - Elsevier
A second order method and a limited variation WENO numerical scheme are proposed for
the Scanning Hysteresis Model (SHM) which describes continuum flows with hysteretic …
the Scanning Hysteresis Model (SHM) which describes continuum flows with hysteretic …
A study of non-equilibrium wave groups in two-phase flow in high-contrast porous media with relative permeability hysteresis
Non-equilibrium models are applicable in various physical situations, including phase
transitions, hysteresis, and chemical reactions, among others. To model the dynamics of …
transitions, hysteresis, and chemical reactions, among others. To model the dynamics of …
Capillary rise in partially saturated rigid porous media
JI Siddique, DM Anderson - Journal of Fluid Mechanics, 2024 - cambridge.org
We explore predictions of two models of one-dimensional capillary rise in rigid and partially
saturated porous media. One is an existing one from the literature and the second is a free …
saturated porous media. One is an existing one from the literature and the second is a free …
[HTML][HTML] Existence and properties of solutions of the extended play-type hysteresis model
K Mitra - Journal of Differential Equations, 2021 - Elsevier
This paper analyses the existence and properties of solutions of the extended play-type
model which was proposed in [16] to incorporate hysteresis in unsaturated flow through …
model which was proposed in [16] to incorporate hysteresis in unsaturated flow through …
Travelling waves in a PDE-ODE coupled system with nonlinear diffusion
We analyze travelling wave (TW) solutions for nonlinear systems consisting of an ODE
coupled to a degenerate PDE with a diffusion coefficient that vanishes as the solution tends …
coupled to a degenerate PDE with a diffusion coefficient that vanishes as the solution tends …
Numerical investigation of spontaneous imbibition in an anisotropic reservoir
In this study, co-current spontaneous imbibition in two-dimensional reservoir formations
saturated with two immiscible and incompressible fluids is investigated. A computational …
saturated with two immiscible and incompressible fluids is investigated. A computational …
Travelling wave solutions for gravity fingering in porous media flows
We study an imbibition problem for porous media. When a wetted layer is above a dry
medium, gravity leads to the propagation of the water downwards into the medium. In …
medium, gravity leads to the propagation of the water downwards into the medium. In …