Dispersion in Heterogeneous Geological Formations
In spite of many years of intensive study, our current abilities to quantify and predict contaminant migration in natural geological formations remain severely limited. The heterogeneity of these formations over a wide range of scales necessitates consideration of sophisticated transport theories. The evolution of such theories has escalated to the point that a review of the subject seems timely. While conceptual and mathematical developments were crucial to the introduction of these new approaches, there are now too many publications that contain theoretical abstractions without regard to real systems, or incremental improvements to existing theories which are known not to be applicable. This volume brings together articles representing a broad spectrum of state-of-the-art approaches for characterization and quantification of contaminant dispersion in heterogeneous porous media.
Audience: The contributions are intended to be as accessible as possible to a wide readership of academics and professionals with diverse backgrounds such as earth sciences, subsurface hydrology, petroleum engineering, and soil physics.
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Preface Transport in Porous Media Special Issue
On Perturbative Expansions to the Stochastic Flow Problem
Recursive Conditional Moment Equations for Advective Transport in Randomly Heterogeneous Velocity Fields
The Relative Dispersion and Mixing of Passive Solutes in Transport in Geologic Media
Initial Analysis of Hydraulic and Tracer Experiments
LargeTime Spatial Covariance of Concentration of Conservative Solute and Application to the Cape Cod Tracer Test
Macrodispersivity and Largescale Hydrogeologic Variability
Role of Molecular Diffusion in Contaminant Migration and Recovery in an Alluvial Aquifer System
Methods of Quantum Field Theory in the Physics of Subsurface Solute Transport
The Tracer TransitTime Tail in Multipole Reservoir Flows
Fractional Dispersion Levy Motion and the MADE Tracer Tests
The Role of Probabilistic Approaches to Transport Theory in Heterogeneous Media
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a-stable advection analysis anomalous transport approach approximately aquifer asymptotic behavior boundary conditions BRIAN BERKOWITZ center of mass centroid coefficient computational contaminant migration convergence corresponding covariance CTRW Dagan defined density derivative differential equation diffusion dispersion distance distribution domain Dyson equation effective electrodes ensemble mean ergodic estimate expansion experiment exponential finite floodplain flow and transport flow cell fluctuations fractional ADE Gaussian geostatistical gradient Green's function groundwater heterogeneous aquifers hydraulic conductivity hydraulic head initial condition integral scale Kitanidis large-scale velocity length scales log conductivity longitudinal macrodispersion measurements Meerschaert Neuman normalized numerical observed parameter partial differential equation particle peak perturbation piezometers plot pore-scale porous media power-law predicted random field random variable realizations relative reservoir sampling simulations small-scale solute transport spatial moments Sposito statistically independent statistics stochastic theory subsurface tails tensor tracer test trajectories transition transport equation transverse values variance velocity field Water Resour Zhang