Hydrodynamics of time-periodic groundwater flow :
xvii, 304 pages : illustrations ; 29 cm. - (Geophysical monograph ; 224.) Content notes : 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
