Description

Book Synopsis

Hydrodynamics of Time-Periodic Groundwater Flowintroduces the emerging topic of periodic fluctuations in groundwater. While classical hydrology has often focused on steady flow conditions, many systems display periodic behavior due to tidal, seasonal, annual, and human influences. Describing and quantifying subsurface hydraulic responses to these influences may be challenging to those who are unfamiliar with periodically forced groundwater systems. The goal of this volume is to present a clear and accessible mathematical introduction to the basic and advanced theory of time-periodic groundwater flow, which is essential for developing a comprehensive knowledge of groundwater hydraulics and groundwater hydrology.

Volume highlights include:

  • Overview of time-periodic forcing of groundwater systems
  • Definition of the Boundary Value Problem for harmonic systems in space and time
  • Examples of 1-, 2-, and 3-dimensional flow in various media

    • Table of Contents

    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

Hydrodynamics of TimePeriodic Groundwater Flow

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    A Hardback by Joe S. Depner, Todd C. Rasmussen

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      Publisher: John Wiley & Sons Inc
      Publication Date: 13/01/2017
      ISBN13: 9781119133940, 978-1119133940
      ISBN10: 1119133947
      Also in:
      Earth sciences

      Description

      Book Synopsis

      Hydrodynamics of Time-Periodic Groundwater Flowintroduces the emerging topic of periodic fluctuations in groundwater. While classical hydrology has often focused on steady flow conditions, many systems display periodic behavior due to tidal, seasonal, annual, and human influences. Describing and quantifying subsurface hydraulic responses to these influences may be challenging to those who are unfamiliar with periodically forced groundwater systems. The goal of this volume is to present a clear and accessible mathematical introduction to the basic and advanced theory of time-periodic groundwater flow, which is essential for developing a comprehensive knowledge of groundwater hydraulics and groundwater hydrology.

      Volume highlights include:

      • Overview of time-periodic forcing of groundwater systems
      • Definition of the Boundary Value Problem for harmonic systems in space and time
      • Examples of 1-, 2-, and 3-dimensional flow in various media

        • Table of Contents

        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

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