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  • © 2013

Modelling Water Flow in Unsaturated Porous Media

Accounting for Nonlinear Permeability and Material Heterogeneity

Authors:

  • 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
  • Includes supplementary material: sn.pub/extras

Part of the book series: GeoPlanet: Earth and Planetary Sciences (GEPS)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xxi
  2. Introduction

    • Adam Szymkiewicz
    Pages 1-8
  3. Mathematical Models of Flow in Porous Media

    • Adam Szymkiewicz
    Pages 9-47
  4. Numerical Solution of Flow Equations

    • Adam Szymkiewicz
    Pages 49-90
  5. Upscaling from Darcy Scale to Field Scale

    • Adam Szymkiewicz
    Pages 139-175
  6. Summary

    • Adam Szymkiewicz
    Pages 235-237

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)

Authors and Affiliations

  • , Department of Geotechnics, Geology, Gdansk University of Technology, Gdansk, Poland

    Adam Szymkiewicz

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access