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Analytical Modeling of Solute Transport in Groundwater: Using Models to Understand the Effect of Natural Processes on Contaminant Fate and Transport
Citation:
Goltz, M. AND J. Huang. Analytical Modeling of Solute Transport in Groundwater: Using Models to Understand the Effect of Natural Processes on Contaminant Fate and Transport. John Wiley & Sons, Inc., Hoboken, NJ, (2017).
Impact/Purpose:
Submitting to John Wiley & Sons, Inc.
Description:
In Chapter 1, models are introduced as partial differential equations (PDEs). Darcy’s law and the main equation of flow are then used as examples of simple models that describe the relationship between groundwater movement and hydraulic head. In Chapter 2, the principle of mass conservation is applied to derive the advection–dispersion–reaction (ADR) PDE that describes solute transport in groundwater. In Chapter 3, the one-dimensional ADR equation for specified initial and boundary conditions is solved using Laplace transforms. In Chapter 4, the same approach is used for solutions to the three-dimensional ADR. Chapter 5 presents the method of moments and shows how temporal and spatial moments may be used to analyze the impact of processes on contaminant fate and transport. Finally, in Chapter 6, the analytical models presented in the text are applied to “real-life” situations. It is the authors’ sincere hope that through this book undergraduate, graduate, and continuing education students who are studying contaminant hydrogeology and groundwater contamination remediation will improve their understanding of the complex processes that affect the fate and transport of subsurface contaminants.
