scholarly journals Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory

1990 ◽  
Vol 21 (4) ◽  
pp. 823-836 ◽  
Author(s):  
Todd Arbogast ◽  
Jim Douglas, Jr. ◽  
Ulrich Hornung
Keyword(s):  
Single Phase ◽  
Double Porosity ◽  
Homogenization Theory ◽  
Phase Flow ◽  
Single Phase Flow ◽  
Double Porosity Model ◽  
Porosity Model

scholarly journals Analysis of a multiple-porosity model for single-phase flow through naturally fractured porous media

2003 ◽  
Vol 2003 (7) ◽  
pp. 327-364 ◽  
Author(s):  
Anna Maria Spagnuolo ◽  
Steve Wright
Keyword(s):  
Single Phase ◽  
Flow System ◽  
Double Porosity ◽  
Phase Flow ◽  
Fractured Reservoir ◽  
Single Phase Flow ◽  
Naturally Fractured ◽  
Flow Through ◽  
Multiple Porosity ◽  
Porosity Model

A derivation of a multiple-porosity model for the flow of a single phase, slightly compressible fluid in a multiscale, naturally fractured reservoir is presented by means of recursive use of homagnetization theory. We obtain a model which generalizes the double-porosity model of Arbogast et al. (1990) to a flow system with an arbitrary finite number of scales.

Homogenization of a stochastic model of a single phase flow in partially fissured media

2021 ◽  
pp. 1-38
Author(s):  
Chigoziem Emereuwa ◽  
Mogtaba Mohammed
Keyword(s):  
Stochastic Model ◽  
Stochastic Partial Differential Equations ◽  
Single Phase ◽  
Double Porosity ◽  
Perforated Domain ◽  
Probability Measures ◽  
Porous System ◽  
Single Phase Flow ◽  
Phase Fluid ◽  
Porosity Model

In this paper, we present new homogenization results of a stochastic model for flow of a single-phase fluid through a partially fissured porous medium. The model is a double-porosity model with two flow fields, one associated with the system of fissures and the other associated with the porous system. This model is mathematically described by a system of nonlinear stochastic partial differential equations defined on perforated domain. The main tools to derive the homogenized stochastic model are the Nguetseng’s two-scale convergence, tightness of constructed probability measures, Prokhorov and Skorokhod compactness process and Minty’s monotonicity method.

Critical review on wax deposition in single-phase flow

Fuel ◽  
2021 ◽  
Vol 293 ◽  
pp. 120358
Author(s):  
Charlie van der Geest ◽  
Aline Melchuna ◽  
Letícia Bizarre ◽  
Antonio C. Bannwart ◽  
Vanessa C.B. Guersoni
Keyword(s):  
Critical Review ◽  
Single Phase ◽  
Phase Flow ◽  
Single Phase Flow ◽  
Wax Deposition
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