The Mathematics of Fluid Flow Through Porous Media. Myron B. Allen, III

The Mathematics of Fluid Flow Through Porous Media - Myron B. Allen, III


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       Myron B. Allen

       University of Wyoming

      This edition first published 2021

      © 2021 John Wiley & Sons, Inc.

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       Library of Congress Cataloging‐in‐Publication Data Applied for:

      ISBN: 9781119663843

      Cover Design: Wiley

      Cover Image: © Myron B. Allen

      Table of Contents

      1  Cover

      2  Title page

      3  Copyright

      4  Preface

      5  1: Introduction 1.1 Historical Setting 1.2 Partial Differential Equations (PDEs) 1.3 Dimensions and Units 1.4 Limitations in Scope

      6  2: Mechanics 2.1 Kinematics of Simple Continua 2.2 Balance Laws for Simple Continua 2.3 Constitutive Relationships 2.4 Two Classic Problems in Fluid Mechanics 2.5 Multiconstituent Continua

      7  3: Single‐fluid Flow Equations 3.1 Darcy's Law 3.2 Non‐Darcy Flows 3.3 The Single‐fluid Flow Equation 3.4 Potential Form of the Flow Equation 3.5 Areal Flow Equation 3.6 Variational Forms for Steady Flow 3.7 Flow in Anisotropic Porous Media

      8  4: Single‐fluid Flow Problems 4.1 Steady Areal Flows with Wells 4.2 The Theis Model for Transient Flows 4.3 Boussinesq and Porous Medium Equations

      9  5: Solute Transport 5.1 The Transport Equation 5.2 One‐Dimensional Advection 5.3 The Advection–Diffusion Equation 5.4 Transport with Adsorption

      10  6: Multifluid Flows 6.1


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