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Field name	Details
Dewey Class	515.353
Title	Mathematical Models for Poroelastic Flows ([EBook]) / by Anvarbek Meirmanov.
Author	Meirmanov, Anvarbek
Other name(s)	SpringerLink (Online service)
Publication	Paris Atlantis Press 2014.
Physical Details	XXXVIII, 449 pages:. 25 illus., 3 illus. in color. : online resource.
ISBN	9789462390157
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions and access ia available through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.2991/978-94-6239-015-7
Links to Related Works	Subject References: Differential equations, Partial . Mathematical Methods in Physics . Mathematical Physics . Mathematics . Mechanics . Partial differential equations . Authors: Meirmanov, Anvarbek . Corporate Authors: SpringerLink (Online service) . Series: Atlantis Studies in Differential Equations . Classification: 515.353 . 515.353 (DDC 23) .

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Mathematical Models for Poroelastic Flows

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