[eBook Code] Hydrodynamics of Time-Periodic Groundwater Flow (eBook Code, 1st)

Preface vii

Notation xi

Acknowledgments xvii

Part I: Introduction 1

1 Introduction 3

Part II: Problem Definition 7

2 Initial Boundary Value Problem for Hydraulic Head 9

3 Hydraulic Head Components and Their IBVPs 13

4 Periodic Transient Components 15

5 BVP for Harmonic Constituents 21

6 Polar Form of Space BVP 29

7 Complex-Variable Form of Space BVP 37

8 Comparison of Space BVP Forms 43

Part III: Elementary Examples 45

9 Examples: 1D Flow in Ideal Media 47

10 Examples: 1D Flow in Exponential Media 63

11 Examples: 1D Flow in Power Law Media 89

12 Examples: 2D and 3D Flow in Ideal Media 95

13 Examples: Uniform-Gradient Flow 107

Part IV: Essential Concepts 121

14 Attenuation, Delay, and Gradient Collinearity 123

15 Time Variation of Specific-Discharge Constituent 131

Part V: Stationary Points 149

16 Stationary Points: Basic Concepts 151

17 Stationary Points: Amplitude and Phase 157

18 Flow Stagnation 171

Part VI: Wave Propagation 181

19 Harmonic, Hydraulic Head Waves 183

20 Wave Distortion 199

21 Waves in One Dimension 215

22 Wave Equation 225

Part VII: Energy Transport 231

23 Mechanical Energy of Groundwater 233

24 Mechanical Energy: Time Averages 239

25 Mechanical Energy of Single-Constituent Fields 249

Part VIII: Conclusion 261

26 Conclusion 263

Part IX: Appendices 269

A Hydraulic Head Components 271

B Useful Results from Trigonometry 273

C Linear Transformation of Space Coordinates 275

D Complex Variables 281

E Kelvin Functions 283

Bibliography 291

Index 295