Table of Contents:
  • 1 Preliminary Concepts in Stochastic Processes
  • The Case for Stochastic Approaches
  • Preliminary Concepts of Random Fields
  • Scope of This Book
  • References
  • 2 Perturbation Theories for the Estimation of Macrodispersivities in Heterogeneous Aquifers
  • Introduction
  • Statistical Characterization of Random Fields
  • Flow in a Heterogeneous Porous Medium and the Spectrum of Specific Discharge Variations
  • Solute Transport in Heterogeneous Aquifers
  • Eulerian Approach
  • Lagrangian Approach
  • Unified View of Eulerian and Lagrangian Approaches and Some Illustrative Results.
  • Influence of the Plume Size on Macrodispersion
  • Comparison of Dispersivity Predictions Against Field Data and Numerical Simulations
  • Summary and Concluding Remarks
  • References
  • 3 Concentration Fluctuations, Dilution, and Risk Assessment: Role of Local Dispersion and Heterogeneity
  • Introduction
  • Background
  • Objective
  • Fundamentals
  • Seepage Velocity
  • Local Dispersion
  • Solute Transport Equation
  • Enhanced Spreading Due to Heterogeneity
  • Field Observations
  • Macrodispersion
  • Stochastic Model
  • Flow in a Random Hydraulic Conductivity Field
  • Solute Transport Simulation.
  • Disconnect Between Dilution and Spreading
  • Dilution-Spreading-Local Dispersion Characteristics
  • Cape Cod Bromide Tracer Data
  • Volume Occupied by Solute
  • Concentration Fluctuations and Risk
  • Irregularity of Concentration Distributions
  • Rise and Fall of the Concentration Coefficient of Variation
  • Conclusion
  • Acknowledgments
  • References
  • 4 Stochastic Analysis of Reactive Transport Processes in Heterogeneous Porous Media
  • Introduction
  • Subsurface Contaminants and Their Sources
  • Physical and Chemical Concepts in Reactive Transport Modeling.
  • Mass Transport in Saturated and Unsaturated Porous Media
  • Mass Transfer Processes: Sorption
  • Mass Transfer Processes: Transformation
  • Reactive Contaminant Transport: Field Observations
  • Stochastic Analysis of Reactive Contaminant Transport
  • Spatially Variable Linear Equilibrium Assumption Sorption in One-Dimensional Media with Homogeneous Hydraulic Conductivity
  • Spatially Variable Linear Sorption in Heterogeneous Media with No Local Dispersion (Lagrangian Analysis)
  • Spatially Variable Linear Sorption and Degradation in Heterogeneous Media with Local Dispersion (Eulerian Analysis).
  • Nonlinear Sorption and Kinetic Processes in Heterogeneous Media
  • Stochastic Analysis of Contaminant Breakthrough Curves
  • The Breakthrough Curve Concept in Heterogeneous Porous Media
  • Nonreactive Solute Travel Time
  • Reactive Solute Travel Time
  • Travel Time Moments for Nonequilibrium Sorption and Degradation
  • Reactive Contaminant Transport in the Vadose Zone
  • Conclusion
  • Acknowledgments
  • Table of Notation
  • References
  • 5 Streamtube Ensemble Techniques for Subsurface Multicomponent Reactive Transport
  • Introduction
  • Multicomponent Reaction Systems.