Bookcover of Non-equilibrium two-phase flow in porous media
Booktitle:

Non-equilibrium two-phase flow in porous media

Homogenization and numerical simulation

LAP LAMBERT Academic Publishing (2016-05-10 )

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ISBN-13:

978-3-659-88441-2

ISBN-10:
3659884413
EAN:
9783659884412
Book language:
English
Blurb/Shorttext:
The book is devoted to the study of a non-equilibrium two-phase flow through a ɛ-periodic double porosity media. The mesoscopic model consists of equations derived from the mass conservation laws along with a generalized Darcy law in the framework of the non-equilibrium Kondaurov flow model. The mobility and capillary pressure functions for the matrix part are the functions of the saturation and the non-equilibrium parameter. The fractured medium consists of periodically repeating blocks and fractures. Using the method of two-scale asymptotic expansions we derive the macroscopic model which is written in terms of the homogenized phase pressures, saturation, and the non-equilibrium parameter. It is shown that the homogenized model can be represented as usual equations of two-phase immiscible incompressible flow, except for the addition of two source terms calculated by a solution to a local problem in the matrix block being a boundary value problem for a non-equilibrium imbibition equation given in terms of the real saturation and a non-equilibrium parameter. The results of numerical simulation of the incompressible non-equilibrium two-phase flow are also presented.
Publishing house:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
By (author) :
Pankratov Leonid, Konyukhov Andrey, Voloshin Anton
Number of pages:
72
Published on:
2016-05-10
Stock:
Available
Category:
Mechanics, acoustics
Price:
39.90 €
Keywords:
Homogenization, Immiscible, non-equilibrium model, Two-phase flow, double porosity media

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