Analytical Modeling of Solute Transport in Groundwater

1 - Cover [Seite 1]
2 - Title Page [Seite 5]
3 - Copyright [Seite 6]
4 - Contents [Seite 7]
5 - List of Symbols [Seite 13]
6 - Preface [Seite 17]
7 - Acknowledgments [Seite 19]
8 - About the Companion Website [Seite 21]
9 - Chapter 1 Modeling [Seite 23]
9.1 - 1.1 Introduction [Seite 23]
9.2 - 1.2 Definitions [Seite 25]
9.3 - 1.3 A Simple Model - Darcy's Law and Flow Modeling [Seite 25]
9.3.1 - 1.3.1 Darcy's Law [Seite 25]
9.3.2 - 1.3.2 Flow Equation [Seite 27]
9.3.3 - 1.3.3 Example Application of Darcy's Law and the Flow Equation [Seite 30]
9.3.4 - 1.3.4 Note of Caution - Know Model Assumptions and Applicable Conditions [Seite 31]
9.3.5 - 1.3.5 Superposition (For a Fuller Discussion of Superposition Applied to Groundwater Flow, See Reilly et al., 1984) [Seite 35]
9.3.6 - 1.3.6 Example Application of the Principle of Superposition [Seite 35]
9.4 - References [Seite 38]
10 - Chapter 2 Contaminant Transport Modeling [Seite 41]
10.1 - 2.1 Introduction [Seite 41]
10.2 - 2.2 Fate and Transport Processes [Seite 41]
10.2.1 - 2.2.1 Advection [Seite 41]
10.2.2 - 2.2.2 Dispersion [Seite 42]
10.2.3 - 2.2.3 Sorption [Seite 44]
10.2.4 - 2.2.4 Chemical and Biological Reactions [Seite 46]
10.3 - 2.3 Advective-Dispersive-Reactive (ADR) Transport Equation [Seite 47]
10.3.1 - 2.3.1 Reaction Submodel [Seite 49]
10.3.2 - 2.3.2 Sorption Submodel [Seite 50]
10.4 - 2.4 Model Initial and Boundary Conditions [Seite 51]
10.4.1 - 2.4.1 Initial Conditions [Seite 52]
10.4.2 - 2.4.2 Boundary Conditions [Seite 53]
10.5 - 2.5 Nondimensionalization [Seite 54]
10.6 - References [Seite 57]
11 - Chapter 3 Analytical Solutions to 1-D Equations [Seite 59]
11.1 - 3.1 Solving the ADR Equation with Initial/Boundary Conditions [Seite 59]
11.2 - 3.2 Using Superposition to Derive Additional Solutions [Seite 60]
11.3 - 3.3 Solutions [Seite 62]
11.3.1 - 3.3.1 AnaModelTool Software [Seite 62]
11.3.2 - 3.3.2 Virtual Experimental System [Seite 63]
11.4 - 3.4 Effect of Advection [Seite 63]
11.5 - 3.5 Effect of Dispersion [Seite 65]
11.6 - 3.6 Effect of Sorption [Seite 70]
11.6.1 - 3.6.1 Linear, Equilibrium Sorption [Seite 70]
11.6.2 - 3.6.2 Rate-Limited Sorption [Seite 73]
11.7 - 3.7 Effect of First-Order Degradation [Seite 82]
11.8 - 3.8 Effect of Boundary Conditions [Seite 86]
11.8.1 - 3.8.1 Effect of Boundary Conditions on Breakthrough Curves [Seite 86]
11.8.2 - 3.8.2 Volume-Averaged Resident Concentration Versus Flux-Averaged Concentration [Seite 88]
11.9 - References [Seite 90]
12 - Chapter 4 Analytical Solutions to 3-D Equations [Seite 93]
12.1 - 4.1 Solving the ADR Equation with Initial/Boundary Conditions [Seite 93]
12.2 - 4.2 Using Superposition to Derive Additional Solutions [Seite 94]
12.3 - 4.3 Virtual Experimental System [Seite 94]
12.4 - 4.4 Effect of Dispersion [Seite 95]
12.5 - 4.5 Effect of Sorption [Seite 100]
12.5.1 - 4.5.1 Linear, Equilibrium Sorption [Seite 100]
12.5.2 - 4.5.2 Rate-Limited Sorption [Seite 102]
12.6 - 4.6 Effect of First-Order Degradation [Seite 105]
13 - Chapter 5 Method of Moments [Seite 109]
13.1 - 5.1 Temporal Moments [Seite 109]
13.1.1 - 5.1.1 Definition [Seite 109]
13.1.2 - 5.1.2 Evaluating Temporal Moments [Seite 110]
13.1.3 - 5.1.3 Temporal Moment Behavior [Seite 110]
13.2 - 5.2 Spatial Moments [Seite 124]
13.2.1 - 5.2.1 Definition [Seite 124]
13.2.2 - 5.2.2 Evaluating Spatial Moments [Seite 125]
13.2.3 - 5.2.3 Spatial Moment Behavior [Seite 126]
13.3 - References [Seite 142]
14 - Chapter 6 Application of Analytical Models to Gain Insight into Transport Behavior [Seite 143]
14.1 - 6.1 Contaminant Remediation [Seite 143]
14.2 - 6.2 Borden Field Experiment [Seite 146]
14.3 - References [Seite 149]
15 - Appendix A Solution to One-Dimensional ADR Equation with First-Order Degradation Kinetics Using Laplace Transforms [Seite 151]
15.1 - Reference [Seite 154]
16 - Appendix B Solution to One-Dimensional ADR Equation with Zeroth-Order Degradation Kinetics Using Laplace Transforms [Seite 155]
16.1 - Reference [Seite 157]
17 - Appendix C Solutions to the One-Dimensional ADR in Literature [Seite 159]
17.1 - References [Seite 162]
18 - Appendix D User Instructions for AnaModelTool Software [Seite 163]
19 - Appendix E Useful Laplace Transforms [Seite 167]
19.1 - E.1 Laplace Transforms from van Genuchten and Alves (1982) [Seite 167]
19.2 - Reference [Seite 170]
20 - Appendix F Solution to Three-Dimensional ADR Equation with First-Order Degradation Kinetics for an Instantaneous Point Source Using Laplace and Fourier Transforms [Seite 171]
20.1 - References [Seite 173]
21 - Appendix G Solution to Three-Dimensional ADR Equation with Zeroth-Order Degradation Kinetics for an Instantaneous Point Source Using Laplace and Fourier Transforms [Seite 175]
21.1 - References [Seite 177]
22 - Appendix H Solutions to the Three-Dimensional ADR in Literature [Seite 179]
22.1 - References [Seite 182]
23 - Appendix 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) [Seite 183]
24 - Appendix J Application of Aris' Method of Moments to Calculate Temporal Moments [Seite 185]
25 - Appendix K Application of Modified Aris' Method of Moments to Calculate Spatial Moments Assuming Equilibrium Sorption [Seite 187]
26 - Appendix L Application of Modified Aris' Method of Moments to Calculate Spatial Moments Assuming Rate-Limited Sorption [Seite 189]
26.1 - L.1 Zeroth Spatial Moment [Seite 190]
26.2 - L.2 First Spatial Moment [Seite 190]
26.3 - L.3 Second Spatial Moment [Seite 190]
27 - Appendix M Derivation of Laplace Domain Solutions to a Model Describing Radial Advective/Dispersive/Sorptive Transport to an Extraction Well [Seite 193]
27.1 - References [Seite 195]
28 - Appendix N AnaModelTool Governing Equations, Initial and Boundary Conditions, and Source Code [Seite 197]
28.1 - N.1 Model 101 [Seite 197]
28.2 - N.2 Model 102 [Seite 198]
28.3 - N.3 Model 103 [Seite 200]
28.4 - N.4 Model 104 [Seite 201]
28.5 - N.5 Model 104M [Seite 202]
28.6 - N.6 Model 105 [Seite 204]
28.7 - N.7 Model 106 [Seite 206]
28.8 - N.8 Model 107 [Seite 207]
28.9 - N.9 Model 108 [Seite 209]
28.10 - N.10 Model 109 [Seite 211]
28.11 - N.11 Model 201 [Seite 213]
28.12 - N.12 Model 202 [Seite 215]
28.13 - N.13 Model 203 [Seite 217]
28.14 - N.14 Model 204 [Seite 219]
28.15 - N.15 Model 205 [Seite 222]
28.16 - N.16 Model 206 [Seite 223]
28.17 - N.17 Model 207 [Seite 225]
28.18 - N.18 Model 208 [Seite 228]
28.19 - N.19 Model 301 [Seite 229]
28.20 - N.20 Model 302 [Seite 232]
28.21 - N.21 Model 303 [Seite 234]
28.22 - N.22 Model 304 [Seite 237]
28.23 - N.23 Model 305 [Seite 239]
28.24 - N.24 Model 306 [Seite 242]
28.25 - N.25 Model 401 [Seite 244]
28.26 - N.26 Model 402 [Seite 245]
28.27 - N.27 Model 403 [Seite 247]
28.28 - N.28 Model 404 [Seite 249]
28.29 - N.29 Model 405 [Seite 251]
28.30 - N.30 Model 406 [Seite 254]
29 - Index [Seite 257]
30 - EULA [Seite 263]