Hydrodynamics of Time–Periodic Groundwater Flow – Diffusion Waves in Porous Media

<p>Preface vii</p>
<p>Notation xi</p>
<p>Acknowledgments xvii</p>
<p>Part I: Introduction 1</p>
<p>1 Introduction 3</p>
<p>Part II: Problem Definition 7</p>
<p>2 Initial Boundary Value Problem for Hydraulic Head 9</p>
<p>3 Hydraulic Head Components and Their IBVPs 13</p>
<p>4 Periodic Transient Components 15</p>
<p>5 BVP for Harmonic Constituents 21</p>
<p>6 Polar Form of Space BVP 29</p>
<p>7 Complex–Variable Form of Space BVP 37</p>
<p>8 Comparison of Space BVP Forms 43</p>
<p>Part III: Elementary Examples 45</p>
<p>9 Examples: 1D Flow in Ideal Media 47</p>
<p>10 Examples: 1D Flow in Exponential Media 63</p>
<p>11 Examples: 1D Flow in Power Law Media 89</p>
<p>12 Examples: 2D and 3D Flow in Ideal Media 95</p>
<p>13 Examples: Uniform–Gradient Flow 107</p>
<p>Part IV: Essential Concepts 121</p>
<p>14 Attenuation, Delay, and Gradient Collinearity 123</p>
<p>15 Time Variation of Specific–Discharge Constituent 131</p>
<p>Part V: Stationary Points 149</p>
<p>16 Stationary Points: Basic Concepts 151</p>
<p>17 Stationary Points: Amplitude and Phase 157</p>
<p>18 Flow Stagnation 171</p>
<p>Part VI: Wave Propagation 181</p>
<p>19 Harmonic, Hydraulic Head Waves 183</p>
<p>20 Wave Distortion 199</p>
<p>21 Waves in One Dimension 215</p>
<p>22 Wave Equation 225</p>
<p>Part VII: Energy Transport 231</p>
<p>23 Mechanical Energy of Groundwater 233</p>
<p>24 Mechanical Energy: Time Averages 239</p>
<p>25 Mechanical Energy of Single–Constituent Fields 249</p>
<p>Part VIII: Conclusion 261</p>
<p>26 Conclusion 263</p>
<p>Part IX: Appendices 269</p>
<p>A Hydraulic Head Components 271</p>
<p>B Useful Results from Trigonometry 273</p>
<p>C Linear Transformation of Space Coordinates 275</p>
<p>D Complex Variables 281</p>
<p>E Kelvin Functions 283</p>
<p>Bibliography 291</p>
<p>Index 295</p>