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Stochastic Methods in Subsurface Contaminant Hydrology

Abstract

  • This comprehensive book details the existing methodologies and emerging techniques available for performing stochastic analysis of contaminant transport through porous media. Methods of analysis include: perturbation methods, Green's functions, moment analysis, cumulant expansion methods, decomposition principles, and Kalman filtering approaches. Both Eulerian and Lagrangian viewpoints are represented, and diverse topics such as reactive and nonreactive transport, stochastic streamtube modeling, multicomponent systems, dilution and dispersion, and anomalous dispersion are discussed. Examples from field and laboratory experiments and simulation exercises illustrate several of these concepts.

    Stochastic Methods in Subsurface Contaminant Hydrology will appeal to students, researchers, and academicians interested in subsurface contaminant transport problems. Practitioners will also find this book useful, as it is an important reference for anyone interested in hydrology, environmental problems, soil physics, geology, and applied mathematics. Readers are expected to have a basic understanding of stochastic processes.

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Front Matter
i–xiii
    Chapter 1:
    Preliminary Concepts in Stochastic Processes
    1–11
      Chapter 2:
      Perturbation Theories for the Estimation of Macrodispersivities in Heterogeneous Aquifers
      13–61
        Chapter 3:
        Concentration Fluctuations, Dilution, and Risk Assessment: Role of Local Dispersion and Heterogeneity
        63–88
          Chapter 4:
          Stochastic Analysis of Reactive Transport Processes in Heterogeneous Porous Media
          89–167
            Chapter 5:
            Streamtube Ensemble Techniques for Subsurface Multicomponent Reactive Transport
            169–238
              Chapter 6:
              Theory and Applications of Time Moment Analysis to Study the Fate of Reactive Solutes in Soil
              239–279
                Chapter 7:
                Conservation Equations for Solute Transport by Unsteady and Steady Flows in Heterogeneous Aquifers: The Cumulant Expansion/Lie Operator Methodology
                281–306
                  Chapter 8:
                  Semigroup and Decomposition Methods in Solving Stochastic Subsurface Contamination Problems
                  307–326
                    Chapter 9:
                    Estimation and Prediction of Hydrogeochemical Parameters Using Extended Kalman Filtering
                    327–363
                      Chapter 10:
                      Anomalous Dispersion of Conservative Tracers: Theory and Three-Dimensional Particle Tracking Velocimetry Experiments
                      365–393
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                        Index
                        395–410