Advances in Geophysical and Environmental Mechanics and Mathematics

Introduction to the Thermodynamically Constrained Averaging Theory for Porous Medium Systems

Authors: Gray, William G., Miller, Cass T.

  • Self-contained introduction to the derivation of conservation, thermodynamic, and evolution equations for modeling multiphase porous media systems
  • Formulates entropy inequalities that can be used to guide the closure of governing equation systems
  • Includes detailed applications to formulate models for flow and transport consistent across scales
  • Presents a forward-looking discussion of open research problems in multi-scale porous medium systems
see more benefits

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-04010-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-04009-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: December 15, 2016
  • ISBN 978-3-319-35501-6
  • Free shipping for individuals worldwide
About this book

Thermodynamically constrained averaging theory provides a consistent method for upscaling conservation and thermodynamic equations for application in the study of porous medium systems. The method provides dynamic equations for phases, interfaces, and common curves that are closely based on insights from the entropy inequality. All larger scale variables in the equations are explicitly defined in terms of their microscale precursors, facilitating the determination of important parameters and macroscale state equations based on microscale experimental and computational analysis. The method requires that all assumptions that lead to a particular equation form be explicitly indicated, a restriction which is useful in ascertaining the range of applicability of a model as well as potential sources of error and opportunities to improve the analysis.

Table of contents (12 chapters)

  • Elements of Thermodynamically Constrained Averaging Theory

    Gray, William G. (et al.)

    Pages 1-36

  • Microscale Conservation Principles

    Gray, William G. (et al.)

    Pages 37-85

  • Microscale Thermodynamics

    Gray, William G. (et al.)

    Pages 87-134

  • Microscale Equilibrium Conditions

    Gray, William G. (et al.)

    Pages 135-165

  • Microscale Closure for a Fluid Phase

    Gray, William G. (et al.)

    Pages 167-199

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-04010-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-04009-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: December 15, 2016
  • ISBN 978-3-319-35501-6
  • Free shipping for individuals worldwide
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Introduction to the Thermodynamically Constrained Averaging Theory for Porous Medium Systems
Authors
Series Title
Advances in Geophysical and Environmental Mechanics and Mathematics
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-04010-3
DOI
10.1007/978-3-319-04010-3
Hardcover ISBN
978-3-319-04009-7
Softcover ISBN
978-3-319-35501-6
Series ISSN
1866-8348
Edition Number
1
Number of Pages
XXXIV, 582
Number of Illustrations and Tables
1 b/w illustrations, 11 illustrations in colour
Topics