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Buchumschlag
Gespeichert in:
Bibliographische Detailangaben
Beteilige Person: Meirmanov, Anvarbek M. 1947- (VerfasserIn)
Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: Paris Atlantis Press 2014
Schriftenreihe:Atlantis studies in differential equations 1
Links:https://doi.org/10.2991/978-94-6239-015-7
https://doi.org/10.2991/978-94-6239-015-7
https://doi.org/10.2991/978-94-6239-015-7
https://doi.org/10.2991/978-94-6239-015-7
https://doi.org/10.2991/978-94-6239-015-7
https://doi.org/10.2991/978-94-6239-015-7
https://doi.org/10.2991/978-94-6239-015-7
https://doi.org/10.2991/978-94-6239-015-7
https://doi.org/10.2991/978-94-6239-015-7
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ISBN:9789462390140
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DOI:10.2991/978-94-6239-015-7
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Datensatz im Suchindex

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adam_text MATHEMATICAL MODELS FOR POROELASTIC FLOWS / MEIRMANOV, ANVARBEK : 2014 TABLE OF CONTENTS / INHALTSVERZEICHNIS 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 DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. MATHEMATICAL MODELS FOR POROELASTIC FLOWS / MEIRMANOV, ANVARBEK : 2014 ABSTRACT / INHALTSTEXT 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 DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spellingShingle Meirmanov, Anvarbek M. 1947-
Mathematical models for poroelastic flows
Atlantis studies in differential equations
title Mathematical models for poroelastic flows
title_auth Mathematical models for poroelastic flows
title_exact_search Mathematical models for poroelastic flows
title_full Mathematical models for poroelastic flows Anvarbek Meirmanov
title_fullStr Mathematical models for poroelastic flows Anvarbek Meirmanov
title_full_unstemmed Mathematical models for poroelastic flows Anvarbek Meirmanov
title_short Mathematical models for poroelastic flows
title_sort mathematical models for poroelastic flows
url https://doi.org/10.2991/978-94-6239-015-7
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