A method for computing unsteady flows in porous media

✍ Scribed by R Raghavan, E Ozkan

• Publisher: Longman
• Year: 1994
• Tongue: English
• Leaves: 135
• Series: Pitman Research Notes in Mathematics Series
• Category: Library

✦ Table of Contents

Cover......Page 1
Title Page......Page 8
Copyright Page......Page 9
Table of Contents......Page 10
Preface......Page 12
Nomenclature......Page 14
1.1. Equations for flow through porous solids......Page 18
1.2. Diffusion with impulsive and concentrated sources. Distributions......Page 21
1.3. Integral representation of solutions to the diffusion equation; the fundamental solution......Page 26
2.2. Flow in linear (slab) porous media......Page 30
2.3. Flow in cylindrical porous media......Page 33
2.4. Flow in rectangular parallelepipeds......Page 39
III: Treatment of Extraction Points......Page 52
3.1. Pressure distribution in slab reservoirs......Page 53
3.2. Pressure distribution in cylindrical porous media......Page 63
3.3. Pressure distribution in rectangular parallelepipeds......Page 65
4.1. The integral......Page 72
4.2. The series......Page 78
4.4. The series......Page 80
4.5. The series......Page 81
4.6. Flow in a domain bounded by two parallel planes that are impermeable. Some applications......Page 87
4.7. A note on the ratios......Page 92
4.8. Flow in cylindrical porous media. Some Applications......Page 95
4.9. Flow in rectangular parallelepipeds. Some Applications......Page 96
5.1. Duhamel’s formula......Page 116
5.2. Flow in naturally-fractured or fissured porous media......Page 118
5.3. Layered porous media......Page 122
5.4. Wellbore hydraulics......Page 124
Appendix—Fundamental Solution for Slab Reservoirs......Page 130
Subject Index......Page 134