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Diffusion in Random Fields
This book presents, in an accessible and self-consistent way, the theory of diffusion in random velocity fields, together with robust numerical simulation approaches. The focus is on transport processes in natural porous media, with applications to contaminant transport in groundwater. Starting from basic information on stochastic processes, more challenging issues are subsequently addressed, such as the correlation structure of the diffusion process in random fields, the relation between memory effects and ergodic properties, derivation and parameterizations of evolution equations for probability densities, and the relation between measurements and spatio-temporal upscaling. Written for readers with a background in applied mathematics, engineering, physics or geophysics, the book offers an essential basis for further research in the stochastic modeling of groundwater systems.
Diffusion in Natural Porous Media
Diffusion in Natural Porous Media: Contaminant Transport, Sorption/Desorption and Dissolution Kinetics introduces the general principles of diffusion in the subsurface environment and discusses the implications for the fate and transport of contaminants in soils and groundwater. Emphasis is placed on sorption/desorption and the dissolution kinetics of organic contaminants, both of which are limited by the slow speed of molecular diffusion. Diffusion in Natural Porous Media: Contaminant Transport, Sorption/Desorption and Dissolution Kinetics compiles methods for calculating the diffusion coefficients of organic compounds (in aqueous solution or vapor phase) in natural porous media. The author...
Hydrodynamics of Time-Periodic Groundwater Flow
Hydrodynamics of Time-Periodic Groundwater Flow introduces the emerging topic of periodic fluctuations in groundwater. While classical hydrology has often focused on steady flow conditions, many systems display periodic behavior due to tidal, seasonal, annual, and human influences. Describing and quantifying subsurface hydraulic responses to these influences may be challenging to those who are unfamiliar with periodically forced groundwater systems. The goal of this volume is to present a clear and accessible mathematical introduction to the basic and advanced theory of time-periodic groundwater flow, which is essential for developing a comprehensive knowledge of groundwater hydraulics and g...
Groundwater Hydraulics and Pollutant Transport
This rigorous and comprehensive text provides fundamental information geared to students in either engineering or natural sciences courses dealing with groundwater. The first four chapters consider subsurface fluid flow, while the remaining twelve chapters cover subsurface contamination and pollutant transport. Charbeneau views the application of groundwater hydraulics and pollutant transport as a quantitative field. Although quantitative methods are exact, the fields of study are usually homogeneous; laboratory and field methods provide estimates for ideal (not real) fields. What impact does the use of ideal fields have on model predictions? The unknown answer places the study of subsurface...
Longitudinal Dispersion in Non-uniform Flow
Non-uniform flow is a flow in which the velocity at any given time changes from point to point along a streamline. In estuaries, such flows result from the cross-sectional area increasing in the downstream direction. A solution to the convective-diffusion equation for this type of estuary is obtained in terms of the estuarine geometry and the longitudinal diffusion coefficient. The model is applied to the results of two dye tracer experiments carried out in the upper Patuxent River during August 1969 from which the longitudinal dispersion coefficients were quantitated. The concept of a flushing velocity for an estuary is developed and defined. (Author).
A Diffusion Hydrodynamic Model
The Diffusion Hydrodynamic Model (DHM), as presented in the 1987 USGS publication, was one of the first computational fluid dynamics computational programs based on the groundwater program MODFLOW, which evolved into the control volume modeling approach. Over the following decades, others developed similar computational programs that either used the methodology and approaches presented in the DHM directly or were its extensions that included additional components and capacities. Our goal is to demonstrate that the DHM, which was developed in an age preceding computer graphics/visualization tools, is as robust as any of the popular models that are currently used. We thank the USGS for their approval and permission to use the content from the earlier USGS report.
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.
Unsaturated Zone Hydrology
Using a quantitative modeling approach, this volume offers a comprehensive exploration of the movement of water in the unsaturated zone (and associated transport phenomena) – the pathway of many contaminants to the saturated zone where much of the world's potable water is stored. It is the first book to combine research and knowledge on this subject from a wide variety of disciplines into a single source directed toward engineering and environmental training and applications. Deals with contaminant and heat transport in the unsaturated zone; includes a description of soils and their properties and unsaturated soil hydraulic properties; describes unsaturated zone processes; and thoroughly explores numerical modeling and uncertainty in modeling. A text for students in engineering and environmental science, and a reference for practicing engineers and scientists involved in the analysis of unsaturated zone contaminant problems.
