scholarly journals Mathematical modeling and numerical algorithm for the gas displacement by water in an inhomogeneous porous medium

2020 ◽  
Vol 1546 ◽  
pp. 012084
Author(s):  
I I Kholmatova
Keyword(s):  
Mathematical Modeling ◽  
Porous Medium ◽  
Numerical Algorithm ◽  
Inhomogeneous Porous Medium

Modified Reynolds Equation for Aerostatic Porous Radial Bearings With Quadratic Forchheimer Pressure-Flow Assumption

2007 ◽  
Author(s):  
Rodrigo Nicoletti ◽  
Zilda C. Silveira ◽  
Benedito M. Purquerio
Keyword(s):  
Mathematical Modeling ◽  
Porous Medium ◽  
Linear Model ◽  
Dynamic Characteristics ◽  
Reynolds Equation ◽  
Dimensional Parameter ◽  
Pressure Flow ◽  
Darcy Model ◽  
Linear Effects ◽  
Modified Reynolds Equation

The mathematical modeling of aerostatic porous bearings, represented by the Reynolds equation, depends on the assumptions for the flow in the porous medium. One proposes a modified Reynolds equation based on the quadratic Forchheimer assumption, which can be used for both linear and quadratic conditions. Numerical results are compared to those obtained with the linear Darcy model. It is shown that, the non-dimensional parameter Φ, related to non-linear effects, strongly affects the bearing dynamic characteristics, but for values of Φ > 10, the results tend to those obtained with the linear model.

The equations of immiscible viscous displacement in a porous medium

1981 ◽  
Vol 59 (1) ◽  
pp. 45-56 ◽  
Author(s):  
T. J. T. Spanos
Keyword(s):  
Porous Medium ◽  
Statistical Theory ◽  
Boundary Conditions ◽  
Initial Conditions ◽  
Continuum Theory ◽  
Immiscible Displacement ◽  
Macroscopic Scale ◽  
Inertial Terms ◽  
Inhomogeneous Porous Medium ◽  
Relative Motions

A statistical theory for the construction of the equations of viscous displacement in a porous medium is considered. This yields a continuum theory for immiscible displacement which can be applied to either a homogeneous or inhomogeneous porous medium. The relative motions of the fluid are considered in terms of the motion of surfaces of constant saturation which are smoothed surfaces at the macroscopic scale considered. The boundary conditions and initial conditions at the injection boundary are considered as well as the boundary conditions and breakthrough conditions at the recovery boundary and the side boundary conditions. The inertial terms are included in the equations and shown to be of importance in describing these initial conditions and the breakthrough conditions.

A hyperbolic mathematical modeling for describing the transition saturated/unsaturated in a rigid porous medium

2017 ◽  
Vol 95 ◽  
pp. 168-177 ◽  
Author(s):  
Maria Laura Martins-Costa ◽  
Dario Monte Alegre ◽  
Felipe Bastos de Freitas Rachid ◽  
Luiz Guilherme C.M. Jardim ◽  
Rogério M. Saldanha da Gama
Keyword(s):  
Mathematical Modeling ◽  
Porous Medium

scholarly journals A class of exactly solvable free-boundary inhomogeneous porous medium flows

2007 ◽  
Vol 20 (1) ◽  
pp. 93-97 ◽  
Author(s):  
S.D. Howison ◽  
I. Loutsenko ◽  
J.R. Ockendon
Keyword(s):  
Porous Medium ◽  
Free Boundary ◽  
Exactly Solvable ◽  
Inhomogeneous Porous Medium

Stationary Filtration in a Fractal Inhomogeneous Porous Medium

2005 ◽  
Vol 78 (4) ◽  
pp. 832-834
Author(s):  
B. A. Suleimanov ◽  
E. M. Abbasov ◽  
A. O. Efendieva
Keyword(s):  
Porous Medium ◽  
Inhomogeneous Porous Medium
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