GeoPlanet: Earth and Planetary Sciences

Modelling Water Flow in Unsaturated Porous Media

Accounting for Nonlinear Permeability and Material Heterogeneity

Authors: Szymkiewicz, Adam

  • Provides consistent presentation of two approaches to modelling water flow in unsaturated porous media
  • Presents in-depth discussion of the numerical solution algorithm with improved method for averaging of the permeability coefficient
  • Analyzes the applicability of the Richards' model for heterogeneous media
see more benefits

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-3-642-23559-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-3-642-23558-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-3-642-42658-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

The book focuses on two issues related to mathematical and numerical modelling of flow in unsaturated porous media. In the first part numerical solution of the governing equations is discussed, with particular emphasis on the spatial discretization of highly nonlinear permeability coefficient. The second part deals with large scale flow in heterogeneous porous media of binary structure. Upscaled models are developed and it is shown that the presence of material heterogeneities may give rise to additional non-equilibrium terms in the governing equations or to hysteresis in the averaged constitutive relationships.

Reviews

“I enjoyed reading it and I would recommend it to all researchers in this subject area. What I like about this exposition is that theoretical concepts and methods are illustrated with simple examples, linked to laboratory experiments and supplemented by numerical simulations. Another useful feature of this book is that the advantages and disadvantages of each method are clearly explained and potential ways for alleviating the limitations of the method are discussed. … As a result, the book can be used as standard tutorial for the way various upscaling methods for water flow in unsaturated porous media are applied. This is an authoritative document that promises to become a milestone publication and a standard reference book in modeling water flow in unsaturated porous media systems.” (Prof. Dr.-Ing. Rainer Helmig, Universität Stuttgart, July 16, 2012)

Table of contents (8 chapters)

  • Introduction

    Szymkiewicz, Adam

    Pages 1-8

  • Mathematical Models of Flow in Porous Media

    Szymkiewicz, Adam

    Pages 9-47

  • Numerical Solution of Flow Equations

    Szymkiewicz, Adam

    Pages 49-90

  • Computation of Inter-Nodal Permeabilities for Richards Equation

    Szymkiewicz, Adam

    Pages 91-138

  • Upscaling from Darcy Scale to Field Scale

    Szymkiewicz, Adam

    Pages 139-175

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-3-642-23559-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-3-642-23558-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-3-642-42658-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Modelling Water Flow in Unsaturated Porous Media
Book Subtitle
Accounting for Nonlinear Permeability and Material Heterogeneity
Authors
Series Title
GeoPlanet: Earth and Planetary Sciences
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-23559-7
DOI
10.1007/978-3-642-23559-7
Hardcover ISBN
978-3-642-23558-0
Softcover ISBN
978-3-642-42658-2
Series ISSN
2190-5193
Edition Number
1
Number of Pages
XXII, 238
Topics