Mark Goltz, Junqi Huang

Analytical Modeling of Solute Transport in Groundwater

Using Models to Understand the Effect of Natural Processes on Contaminant Fate and Transport

• Gebundenes Buch

Produktbeschreibung

A strong teaching tool, this book goes well beyond previous endeavors in its ability to not only teach the models used in hydrogeology, but apply and understand their impacts. It includes a compendium of one, two, and three dimensional analytical solutions to illustrate how different processes can impact the movement and ultimate fate of a subsurface contaminant. Collecting the many loose solutions in one volume, this book offers students a practical resource accompanied by a CD that aids in simulating the impact of processes and parameter values on transport behavior.

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Teaches, using simple analytical models how physical, chemical, and biological processes in the subsurface affect contaminant transport * Uses simple analytical models to demonstrate the impact of subsurface processes on the fate and transport of groundwater contaminants * Includes downloadable modeling tool that provides easily understood graphical output for over thirty models * Modeling tool and book are integrated to facilitate reader understanding * Collects analytical solutions from many sources into a single volume and, for the interested reader, shows how these solutions are derived from the governing model equations

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Produktdetails

• Verlag: John Wiley & Sons / Wiley
• Seitenzahl: 272
• Erscheinungstermin: 3. Mai 2011
• Englisch
• Abmessung: 236mm x 155mm x 23mm
• Gewicht: 590g
• ISBN-13: 9780470242346
• ISBN-10: 0470242345
• Artikelnr.: 30589823

Autorenporträt

Mark Goltz is a well-known authority in the field of hydrogeology and subsurface contaminant transport and remediation. He is Distinguished Professor Emeritus of Engineering and Environmental Management at the Air Force Institute of Technology, where he conducted research into the fate and transport of groundwater contaminants and contaminated groundwater remediation technologies. He has published numerous works in these areas. Junqi Huang is a hydrologist in the Ground Water and Ecosystems Restoration Division, National Risk Management Research Laboratory, US EPA. He is an experienced hydrogeological modeler, with expertise developing models for groundwater flow and transport, groundwater management, and contaminated groundwater remediation strategies.

Inhaltsangabe

List of Symbols xi Preface xv Acknowledgments xvii About the Companion
Website xix 1 Modeling 1 1.1 Introduction 1 1.2 Definitions 3 1.3 A Simple
Model - Darcy's Law and Flow Modeling 3 1.3.1 Darcy's Law 3 1.3.2 Flow
Equation 5 1.3.3 Example Application of Darcy's Law and the Flow Equation 8
1.3.4 Note of Caution - Know Model Assumptions and Applicable Conditions 9
1.3.5 Superposition (For a Fuller Discussion of Superposition Applied to
Groundwater Flow, See Reilly et al., 1984) 13 1.3.6 Example Application of
the Principle of Superposition 13 References 16 2 Contaminant Transport
Modeling 19 2.1 Introduction 19 2.2 Fate and Transport Processes 19 2.2.1
Advection 19 2.2.2 Dispersion 20 2.2.3 Sorption 22 2.2.4 Chemical and
Biological Reactions 24 2.3 Advective-Dispersive-Reactive (ADR) Transport
Equation 25 2.3.1 Reaction Submodel 27 2.3.2 Sorption Submodel 28 2.3.2.1
Linear Equilibrium 28 2.3.2.2 Rate-Limited Sorption 28 2.4 Model Initial
and Boundary Conditions 29 2.4.1 Initial Conditions 30 2.4.2 Boundary
Conditions 31 2.5 Nondimensionalization 32 References 35 3 Analytical
Solutions to 1-D Equations 37 3.1 Solving the ADR Equation with
Initial/Boundary Conditions 37 3.2 Using Superposition to Derive Additional
Solutions 38 3.3 Solutions 40 3.3.1 AnaModelTool Software 40 3.3.2 Virtual
Experimental System 41 3.4 Effect of Advection 41 3.5 Effect of Dispersion
43 3.6 Effect of Sorption 48 3.6.1 Linear, Equilibrium Sorption 48 3.6.2
Rate-Limited Sorption 51 3.6.2.1 First-Order Kinetics 51 3.6.2.2
Diffusion-Limited 57 3.7 Effect of First-Order Degradation 60 3.8 Effect of
Boundary Conditions 64 3.8.1 Effect of Boundary Conditions on Breakthrough
Curves 64 3.8.2 Volume-Averaged Resident Concentration Versus Flux-Averaged
Concentration 66 References 68 4 Analytical Solutions to 3-D Equations 71
4.1 Solving the ADR Equation with Initial/Boundary Conditions 71 4.2 Using
Superposition to Derive Additional Solutions 72 4.3 Virtual Experimental
System 72 4.4 Effect of Dispersion 73 4.5 Effect of Sorption 78 4.5.1
Linear, Equilibrium Sorption 78 4.5.2 Rate-Limited Sorption 80 4.6 Effect
of First-Order Degradation 83 5 Method of Moments 87 5.1 Temporal Moments
87 5.1.1 Definition 87 5.1.2 Evaluating Temporal Moments 88 5.1.3 Temporal
Moment Behavior 88 5.1.3.1 Advective-Dispersive Transport with First-Order
Degradation and Linear Equilibrium Sorption 88 5.1.3.2 Advective-Dispersive
Transport with First-Order Degradation and Rate-Limited Sorption 97 5.2
Spatial Moments 102 5.2.1 Definition 102 5.2.2 Evaluating Spatial Moments
103 5.2.3 Spatial Moment Behavior 104 5.2.3.1 Advective-Dispersive
Transport with First-Order Degradation and Linear Equilibrium Sorption 104
5.2.3.2 Advective-Dispersive Transport with First-Order Degradation and
Rate-Limited Sorption 105 References 120 6 Application of Analytical Models
to Gain Insight into Transport Behavior 121 6.1 Contaminant Remediation 121
6.2 Borden Field Experiment 124 References 127 A Solution to
One-Dimensional ADR Equation with First-Order Degradation Kinetics Using
Laplace Transforms 129 Reference 132 B Solution to One-Dimensional ADR
Equation with Zeroth-Order Degradation Kinetics Using Laplace Transforms
133 Reference 135 C Solutions to the One-Dimensional ADR in Literature 137
References 140 D User Instructions for AnaModelTool Software 141 E Useful
Laplace Transforms 145 E.1 Laplace Transforms from van Genuchten and Alves
(1982) 145 Reference 148 F Solution to Three-Dimensional ADR Equation with
First-Order Degradation Kinetics for an Instantaneous Point Source Using
Laplace and Fourier Transforms 149 References 151 G Solution to
Three-Dimensional ADR Equation with Zeroth-Order Degradation Kinetics for
an Instantaneous Point Source Using Laplace and Fourier Transforms 153
References 155 H Solutions to the Three-Dimensional ADR in Literature 157
References 160 I Derivation of the Long-Time First-Order Rate Constant to
Model Decrease in Concentrations at a Monitoring Well Due to Advection,
Dispersion, Equilibrium Sorption, and First-Order Degradation
(Three-Dimensional Infinite System with an Instantaneous Point Source) 161
J Application of Aris' Method of Moments to Calculate Temporal Moments 163
K Application of Modified Aris' Method of Moments to Calculate Spatial
Moments Assuming Equilibrium Sorption 165 L Application of Modified Aris'
Method of Moments to Calculate Spatial Moments Assuming Rate-Limited
Sorption 167 L.1 Zeroth Spatial Moment 168 L.2 First Spatial Moment 168 L.3
Second Spatial Moment 168 M Derivation of Laplace Domain Solutions to a
Model Describing Radial Advective/Dispersive/Sorptive Transport to an
Extraction Well 171 References 173 N AnaModelTool Governing Equations,
Initial and Boundary Conditions, and Source Code 175 N.1 Model 101 175 N.2
Model 102 176 N.3 Model 103 178 N.4 Model 104 179 N.5 Model 104M 180 N.6
Model 105 182 N.7 Model 106 184 N.8 Model 107 185 N.9 Model 108 187 N.10
Model 109 189 N.11 Model 201 191 N.12 Model 202 193 N.13 Model 203 195 N.14
Model 204 197 N.15 Model 205 200 N.16 Model 206 201 N.17 Model 207 203 N.18
Model 208 206 N.19 Model 301 207 N.20 Model 302 210 N.21 Model 303 212 N.22
Model 304 215 N.23 Model 305 217 N.24 Model 306 220 N.25 Model 401 222 N.26
Model 402 223 N.27 Model 403 225 N.28 Model 404 227 N.29 Model 405 229 N.30
Model 406 232 Index 235