Читать книгу The Mathematics of Fluid Flow Through Porous Media - Myron B. Allen III - Страница 5

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 Capillarity 6.2 Variably Saturated Flow 6.3 Two‐fluid Flows 6.4 The Buckley–Leverett Problem 6.5 Viscous Fingering 6.6 Three‐fluid Flows 6.7 Three‐fluid Fractional Flow Analysis

11  7: Flows With Mass Exchange 7.1 General Compositional Equations 7.2 Black‐oil Models 7.3 Compositional Flows in Porous Media 7.4 Fluid‐phase Thermodynamics

12  Appendix A: Dedicated Symbols

13  Appendix B: Useful Curvilinear Coordinates B.1 Polar Coordinates B.2 Cylindrical Coordinates B.3 Spherical Coordinates

14  Appendix C: The Buckingham Pi Theorem C.1 Physical Dimensions and Units C.2 The Buckingham Theorem

15  Appendix D: Surface Integrals D.1 Definition of a Surface Integral D.2 The Stokes Theorem D.3 A Corollary to the Stokes Theorem

16  Bibliography

17  Index

18  End User License Agreement