{"product_id":"hydrodynamics-of-time-periodic-groundwater-flow-isbn-9781119133940","title":"Hydrodynamics of Time-Periodic Groundwater Flow","description":"\u003cp\u003e\u003ci\u003eHydrodynamics of Time-Periodic Groundwater Flow\u003c\/i\u003e introduces 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.\u003c\/p\u003e \u003cp\u003eVolume highlights include:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eOverview of time-periodic forcing of groundwater systems\u003c\/li\u003e \u003cli\u003eDefinition of the Boundary Value Problem for harmonic systems in space and time\u003c\/li\u003e \u003cli\u003eExamples of 1-, 2-, and 3-dimensional flow in various media\u003c\/li\u003e \u003cli\u003eAttenuation, delay, and gradients, stationary points and flow stagnation\u003c\/li\u003e \u003cli\u003eWave propagation and energy transport\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eHydrodynamics of Time-Periodic Groundwater\u003c\/i\u003e \u003ci\u003eFlow\u003c\/i\u003e presents numerous examples and exercises to reinforce the essential elements of the theoretical development, and thus is eminently well suited for self-directed study by undergraduate and graduate students. This volume will be a valuable resource for professionals in Earth and environmental sciences who develop groundwater models., including in the fields of groundwater hydrology, soil physics, hydrogeology, geoscience, geophysics, and geochemistry. Time-periodic phenomena are also encountered in fields other than groundwater flow, such as electronics, heat transport, and chemical diffusion. Thus, students and professionals in the field of chemistry, electronic engineering, and physics will also find this book useful.\u003cbr\u003e\u003cbr\u003eRead an interview with the editors to find out more:\u003cbr\u003e\u003ca href=\"https:\/\/eos.org\/editors-vox\/a-foundation-for-modeling-time-periodic-groundwater-flow\"\u003ehttps:\/\/eos.org\/editors-vox\/a-foundation-for-modeling-time-periodic-groundwater-flow\u003c\/a\u003e\u003c\/p\u003e \u003cp\u003ePreface vii\u003c\/p\u003e \u003cp\u003eNotation xi\u003c\/p\u003e \u003cp\u003eAcknowledgments xvii\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart I: Introduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1 Introduction 3\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart II: Problem Definition 7\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2 Initial Boundary Value Problem for Hydraulic Head 9\u003c\/p\u003e \u003cp\u003e3 Hydraulic Head Components and Their IBVPs 13\u003c\/p\u003e \u003cp\u003e4 Periodic Transient Components 15\u003c\/p\u003e \u003cp\u003e5 BVP for Harmonic Constituents 21\u003c\/p\u003e \u003cp\u003e6 Polar Form of Space BVP 29\u003c\/p\u003e \u003cp\u003e7 Complex-Variable Form of Space BVP 37\u003c\/p\u003e \u003cp\u003e8 Comparison of Space BVP Forms 43\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart III: Elementary Examples 45\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9 Examples: 1D Flow in Ideal Media 47\u003c\/p\u003e \u003cp\u003e10 Examples: 1D Flow in Exponential Media 63\u003c\/p\u003e \u003cp\u003e11 Examples: 1D Flow in Power Law Media 89\u003c\/p\u003e \u003cp\u003e12 Examples: 2D and 3D Flow in Ideal Media 95\u003c\/p\u003e \u003cp\u003e13 Examples: Uniform-Gradient Flow 107\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart IV: Essential Concepts 121\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14 Attenuation, Delay, and Gradient Collinearity 123\u003c\/p\u003e \u003cp\u003e15 Time Variation of Specific-Discharge Constituent 131\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart V: Stationary Points 149\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16 Stationary Points: Basic Concepts 151\u003c\/p\u003e \u003cp\u003e17 Stationary Points: Amplitude and Phase 157\u003c\/p\u003e \u003cp\u003e18 Flow Stagnation 171\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart VI: Wave Propagation 181\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e19 Harmonic, Hydraulic Head Waves 183\u003c\/p\u003e \u003cp\u003e20 Wave Distortion 199\u003c\/p\u003e \u003cp\u003e21 Waves in One Dimension 215\u003c\/p\u003e \u003cp\u003e22 Wave Equation 225\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart VII: Energy Transport 231\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e23 Mechanical Energy of Groundwater 233\u003c\/p\u003e \u003cp\u003e24 Mechanical Energy: Time Averages 239\u003c\/p\u003e \u003cp\u003e25 Mechanical Energy of Single-Constituent Fields 249\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart VIII: Conclusion 261\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e26 Conclusion 263\u003c\/p\u003e \u003cp\u003ePart IX: Appendices 269\u003c\/p\u003e \u003cp\u003eA Hydraulic Head Components 271\u003c\/p\u003e \u003cp\u003eB Useful Results from Trigonometry 273\u003c\/p\u003e \u003cp\u003eC Linear Transformation of Space Coordinates 275\u003c\/p\u003e \u003cp\u003eD Complex Variables 281\u003c\/p\u003e \u003cp\u003eE Kelvin Functions 283\u003c\/p\u003e \u003cp\u003eBibliography 291\u003c\/p\u003e \u003cp\u003eIndex 295\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTodd Rasmussen\u003c\/b\u003e is a Professor of Hydrology and Water Resources at the University of Georgia (UGA). He is a member of the Faculty of Water Resources, the Faculty of Engineering, and the Academy of the Environment at UGA. He is an associate editor for the Journal of Hydrology, and has been an associate editor for Water Resources Research and Hydrogeology Journal. He received his PhD from the Department of Hydrology and Water Resources, College of Engineering and Mines, at the University of Arizona in 1988. His publications focus on uid ow and contaminant transport through surface and subsurface environments, including the physical, chemical, mathematical, and statistical description and quantification of hydrologic processes. He was a co-author of the AGU Geophysical Monograph 42 (Evans et al., 2001) as well as multiple journal articles specifically related to subsurface periodic behavior (Toll and Rasmussen, 2007; Rasmussen and Mote, 2007; Rasmussen et al., 2003).\u003c\/p\u003e \u003cp\u003e\u003cb\u003eJoe Depner\u003c\/b\u003e graduated with an M.S. from the Department of Hydrology and Water Resources at the University of Arizona in 1985. His thesis topic was Estimation of the three-dimensional anisotropic spatial covariance of log permeability using single-hole and cross-hole packer test data from fractured granites, under the direction of Professor Shlomo P. Neuman, which was subsequently published (Neuman and Depner, 1988). He has also published on the topic of periodic flow in groundwater (Depner, 2000). He has worked professionally for multiple private consulting services and for Pacific Northwest National Laboratory in Hanford, WA.\u003c\/p\u003e","brand":"American Geophysical Union","offers":[{"title":"Default Title","offer_id":47989393260773,"sku":"NP9781119133940","price":190.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781119133940.jpg?v=1761783936","url":"https:\/\/k12savings.com\/products\/hydrodynamics-of-time-periodic-groundwater-flow-isbn-9781119133940","provider":"K12savings","version":"1.0","type":"link"}