عنوان

Mathematical Models for Poroelastic Flow

9789462390157

IR

EN-52497

انگلیسی

IR

Mathematical Models for Poroelastic Flow

[Book]

/ electronic resource

Paris

: Atlantis Press :Imprint: Atlantis Press,

, 2014.

XXXVIII, 449 s. 25 illus., 3 illus. in color. , online resource..

(Atlantis Studies in Differential Equations

; 1,2214-6253)

9789462390140.

Electronic

Summary: 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 @2013 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.

Isothermal Liquid Filtration -- Filtration of a compressible thermo-fluid -- Hydraulic shock in incompressible poroelastic media -- Double porosity models for a liquid filtration -- Filtration in composite incompressible media -- Isothermal acoustics in poroelastic media -- Non-isothermal acoustics in poroelastic media -- Isothermal acoustics in composite media -- Double porosity models for acoustics -- Diffusion and convection in porous media -- The Muskat problem.

Atlantis Studies in Differential Equations ;1,2214-6253

Mathematics

Differential equations, partial

Mathematical physics

Mechanics

Mathematics

Partial Differential Equations

Mathematical Methods in Physics

Mechanics

Meirmanov, Anvarbek.

SpringerLink (Online service)

ایران

9789462390140.pdf

عادی

عادی

9789462390140.pdf

متن

old catalog

e

BL

1

a

Y