The Mathematics of Fluid Flow Through Porous Media
Myron B. Allen
University of Wyoming
This edition first published 2021
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Library of Congress Cataloging‐in‐Publication Data Applied for:
ISBN: 9781119663843
Cover Design: Wiley
Cover Image: © Myron B. Allen
To Professor George F. Pinder, who has lit the path for so many.
Table of Contents
1 Cover
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