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Mathematical Models for Poroelastic Flows

ASDE: MATHEMATICAL MODELS FOR POROELASTIC FLOWS

Mathematics

Mathematics & Science

Gt Product Group

Binding Format

Marketing Imprint Name

B2B GT

CL Carton Count

Imprint Name

B2B & B2C

The book is devoted to rigorous derivation of macroscopic mathematical models as a homogenization of exact mathematical models at the microscopic level. The idea is quite natural: one first must describe the joint motion of the elastic skeleton and the fluid in pores at the microscopic level by means of classical continuum mechanics, and then use homogenization to find appropriate approximation models (homogenized equations). The Navier-Stokes equations still hold at this scale of the pore size in the order of 5 – 15 microns. Thus, as we have mentioned above, the macroscopic mathematical models obtained are still within the limits of physical applicability. These mathematical models describe different physical processes of liquid filtration and acoustics in poroelastic media, such as isothermal or non-isothermal filtration, hydraulic shock, isothermal or non-isothermal acoustics, diffusion-convection, filtration and acoustics in composite media or in porous fractured reservoirs. Our research is based upon the Nguetseng two-scale convergent method.

POST SECONDARY FOUR YEAR

COLFR

COLSO

COLJR

COLSR

Duration

Duration Unit Of Measure

Transaction Type

Front Cover.
Editorial Board.
Other Frontmatter.
Title Page.
Copyright Page.
Dedication.
Frontispiece.
Preface.
Contents.
Introduction.
1: Isothermal Liquid Filtration.
2: Filtration of a Compressible Thermo-Fluid.
3: Hydraulic Shock in Incompressible Poroelastic Media.
4: Double Porosity Models for a Liquid Filtration.
5: Filtration in Composite Incompressible Media.
6: Isothermal Liquid Filtration.
7: Non-isothermal Acoustics in Poroelastic Media.
8: Isothermal Acoustics in Composite Media.
9: Double Porosity Models for Acoustics.
10: Diffusion and Convection in Porous Media.
11: The Muskat Problem.
Elements of Continuum Mechanics.
Auxiliary Mathematical Topics.
References.

Mathematical Models for Poroelastic Flows.css-1p8rvzy{position:absolute;padding-left:8px;}

Mathematical Models for Poroelastic Flows