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Stochastic Analysis Of Field Scale Solute Transport In Heterogeneous Variably Saturated Soil Under A Transient Flow Regime
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Book Synopsis Stochastic Analysis of Field Scale Solute Transport in Heterogeneous Variably Saturated Soil Under a Transient Flow Regime by : Xavier Foussereau
Download or read book Stochastic Analysis of Field Scale Solute Transport in Heterogeneous Variably Saturated Soil Under a Transient Flow Regime written by Xavier Foussereau and published by . This book was released on 1999 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Solute Transport in Heterogeneous Geologic Media by : Tian-Chyi Jim Yeh
Download or read book An Introduction to Solute Transport in Heterogeneous Geologic Media written by Tian-Chyi Jim Yeh and published by Cambridge University Press. This book was released on 2023-02-28 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unified and comprehensive overview of physical explanations of the stochastic concepts of solute transport processes, important scaling issues, and practical tools for the analysis of solute transport.
Book Synopsis Stochastic Analysis Of Flow And Solute Transport In Heterogeneous Porous Media Using Perturbation Approach by :
Download or read book Stochastic Analysis Of Flow And Solute Transport In Heterogeneous Porous Media Using Perturbation Approach written by and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis of flow and solute transport problem in porous media are affected by uncertainty inbuilt both in boundary conditions and spatial variability in system parameters. The experimental investigation reveals that the parameters may vary in various scales by several orders. These affect the solute plume characteristics in field-scale problem and cause uncertainty in the prediction of concentration. The main focus of the present thesis is to analyze the probabilistic behavior of solute concentration in three dimensional(3-D) heterogeneous porous media. The framework for the probabilistic analysis has been developed using perturbation approach for both spectral based analytical and finite element based numerical method. The results of the probabilistic analysis are presented either in terms of solute plume characteristics or prediction uncertainty of the concentration. After providing a brief introduction on the role of stochastic analysis in subsurface hydrology in chapter 1, a detailed review of the literature is presented to establish the existing state-of-art in the research on the probabilistic analysis of flow and transport in simple and complex heterogeneous porous media in chapter 2. The literature review is mainly focused on the methods of solution of the stochastic differential equation. Perturbation based spectral method is often used for probabilistic analysis of flow and solute transport problem. Using this analytical method a nonlocal equation is solved to derive the expression of the spatial plume moments. The spatial plume moments represent the solute movement, spreading in an average sense. In chapter 3 of the present thesis, local dispersivity if also assumed to be random space function along with hydraulic conductivity. For various correlation coefficients of the random parameters, the results in terms of the field scale effective dispersivity are presented to demonstrate the effect of local dispersivity variation in space. The randomness of local.
Book Synopsis Stochastic Analysis of Flow and Transport in the Vadose Zone by : Alexander Yishan Sun
Download or read book Stochastic Analysis of Flow and Transport in the Vadose Zone written by Alexander Yishan Sun and published by . This book was released on 2000 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Field-Scale Water and Solute Flux in Soils by : Roth
Download or read book Field-Scale Water and Solute Flux in Soils written by Roth and published by Birkhäuser. This book was released on 2012-12-06 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the first workshop held at Monte Verità near Ascona, Switzerland on September 24-29, 1989. The workshop was designed to survey the current understanding of water and solute transport through unsaturated soils under field conditions, and to foster research by discussing some unresolved key issues relative to transport modeling and experimentation in four "Think Tank" groups. The first part of this book consists of the reports prepared by the Think Tank groups, who discussed the following topics: modeling approaches, effective large scale properties, evaluation of filed properties, and the role preferential flow. The second part contains a selection of reviewed original contributions presented at the workshop, with topics ranging from the presentation of results from large scale experiments, to improved or new modeling approaches, and to legal or policy aspects. This book is intended for researchers in soil science, hydrology, and environmental engineering who have an interest in transport and reaction processes in the unsaturated zone. It will provide them with a representative sample of current research activities, and with a group discussion of future research directions in four important areas of water and solute transport.
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1999 with total page 898 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Modeling of Macrodispersion in Unsaturated Heterogeneous Porous Media. Final Report by :
Download or read book Stochastic Modeling of Macrodispersion in Unsaturated Heterogeneous Porous Media. Final Report written by and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Spatial heterogeneity of geologic media leads to uncertainty in predicting both flow and transport in the vadose zone. In this work an efficient and flexible, combined analytical-numerical Monte Carlo approach is developed for the analysis of steady-state flow and transient transport processes in highly heterogeneous, variably saturated porous media. The approach is also used for the investigation of the validity of linear, first order analytical stochastic models. With the Monte Carlo analysis accurate estimates of the ensemble conductivity, head, velocity, and concentration mean and covariance are obtained; the statistical moments describing displacement of solute plumes, solute breakthrough at a compliance surface, and time of first exceedance of a given solute flux level are analyzed; and the cumulative probability density functions for solute flux across a compliance surface are investigated. The results of the Monte Carlo analysis show that for very heterogeneous flow fields, and particularly in anisotropic soils, the linearized, analytical predictions of soil water tension and soil moisture flux become erroneous. Analytical, linearized Lagrangian transport models also overestimate both the longitudinal and the transverse spreading of the mean solute plume in very heterogeneous soils and in dry soils. A combined analytical-numerical conditional simulation algorithm is also developed to estimate the impact of in-situ soil hydraulic measurements on reducing the uncertainty of concentration and solute flux predictions.
Book Synopsis Solution Methodology and Validation of Physics-based Stochastic Subsurface Solute Transport Equations by :
Download or read book Solution Methodology and Validation of Physics-based Stochastic Subsurface Solute Transport Equations written by and published by . This book was released on 1992 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Analysis of Large Scale Transient Unsaturated Flow in Soil by : Kahraman Ünlü
Download or read book Stochastic Analysis of Large Scale Transient Unsaturated Flow in Soil written by Kahraman Ünlü and published by . This book was released on 1989 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Journal of Hydrodynamics written by and published by . This book was released on 2005 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spring Meeting by : American Geophysical Union. Meeting
Download or read book Spring Meeting written by American Geophysical Union. Meeting and published by . This book was released on 1999 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Soil-Water Interactions by : Shingo Iwata
Download or read book Soil-Water Interactions written by Shingo Iwata and published by CRC Press. This book was released on 2020-08-26 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizing pioneering achievements, this work offers a clear and systematic description of various soil-water phenomena and their applications to soil problems such as water retention and the flux of water in soils and clays. This second edition contains material on the physical properties of adsorbed water, the application of fractal theory to solute and water flows in field soils, fingering research, and more.
Book Synopsis Selected Water Resources Abstracts by :
Download or read book Selected Water Resources Abstracts written by and published by . This book was released on 1989 with total page 1296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mechanism and Stochastic Dynamics of Transport in Darcy-scale Heterogeneous Porous Media by : Alessandro Comolli
Download or read book Mechanism and Stochastic Dynamics of Transport in Darcy-scale Heterogeneous Porous Media written by Alessandro Comolli and published by . This book was released on 2018 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solute transport in heterogeneous porous media in general exhibits anomalous behaviors, in the sense that it is characterized by features that cannot be explained in terms of traditional models based on the advection-dispersion equation with constant effective coefficients. Signatures of anomalous transport are the non-linear temporal growth of the variance of solute concentration, non- Gaussian density profiles and heavy-tailed breakthrough curves. Understanding and predicting transport behavior in groundwater systems is crucial for several environmental and industrial applications, including groundwater management and risk assessment for nuclear waste repositories. The complexity of this task lies in the intrinsic multi-scale heterogeneity of geological formations and in the large amount of degrees of freedom. Hence, the predictive description of transport requires a process of upscaling that is based on measurable medium and flow attributes. The time domain random walk (TDRW) and continuous time random walk (CTRW) approaches provide suitable frameworks for transport upscaling. In this thesis, we identify different mechanisms that induce anomalous transport and we quantify their impact on transport attributes. We propose average transport models that can be parameterized in terms of flow and medium properties. Among the mechanisms that induce non-Fickian behaviors, a pivotal role is played by the heterogeneity of the flow field, which is directly linked to medium disorder. Due to its importance, the impact of advective heterogeneity is studied throughout the thesis, alongside with other mechanisms. First, we consider solute trapping due to physical or chemical heterogeneity, which we parameterize in terms of a constant trapping rate and a distribution of return times. We observe three distinct transport regimes that are linked to characteristic trapping time scales. At early times, transport is advection- controlled until particles start to get trapped. Then, the increasing distance between mobile and immobile particles gives rise to a superdiffusive regime which finally evolves towards a trapping-controlled regime. Second, we study transport in correlated porous media. We show that particle motion describes a coupled CTRW that is parameterized in terms of the distribution of flow velocity and length scales. We show that disorder and correlation may lead to similar behaviors in terms of displacement moments, but the difference between these mechanisms is manifest in the distributions of particle positions and arrival times. Next, we study the relationship between flow and transport properties and the impact of different injection conditions on transport. To this end, the relationship between Eulerian and Lagrangian velocities is investigated. Lagrangian statistics evolves to a steady-state that depends on the injection conditions. We study the velocity organization in Darcy flows and we develop a CTRW model for transport that is parameterized in terms of flow and medium attributes only. This CTRW accounts for non-stationarity through Markovian velocity models. We study the impact of advective heterogeneity by considering different disorder scenarios. Finally, we quantify the impact of diffusion in layered and fibrous heterogeneous media by considering two disorder scenarios characterized by quenched random velocities and quenched retardation properties, respectively. These mechanisms lead to different, dimension-dependent disorder samplings that give rise to dual transport processes in space and time. Specifically, transport describes correlated Lévy flights in the random velocity model and correlated CTRWs in the random retardation model.
Book Synopsis Numerical Simulation of Solute Transport in Randomly Heterogeneous Porous Media by : Andrew Francis Burke Tompson
Download or read book Numerical Simulation of Solute Transport in Randomly Heterogeneous Porous Media written by Andrew Francis Burke Tompson and published by . This book was released on 1988 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Analysis of Transport of Conservative Solutes in Caisson Experiments by :
Download or read book Stochastic Analysis of Transport of Conservative Solutes in Caisson Experiments written by and published by . This book was released on 1995 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Los Alamos National Laboratory has conducted in the past a series of experiments of transport of conservative and reactive solutes. The experimental setup and the experimental results are presented in a series of reports. The main aim of the experiments was to validate models of transport of solutes in unsaturated flow at the caisson intermediate scale, which is much larger than the one pertaining to laboratory columns. First attempts to analyze the experimental results were by one-dimensional convective-dispersion models. These models could not explain the observed solute breakthrough curves and particularly the large solute dispersion in the caisson effluent Since there were some question marks about the uniformity of water distribution at the caisson top, the transport experiments were repeated under conditions of saturated flow. In these experiments constant heads were applied at the top and the bottom of the caisson and the number of concentration monitoring stations was quadrupled. The analysis of the measurements by the same one-dimensional model indicated clearly that the fitted dispersivity is much larger than the pore-sole dispersivity and that it grows with the distance in an approximately linear fashion. This led to the conclusion, raised before, that transport in the caisson is dominated by heterogeneity effects, i.e. by spatial variability of the material Such effects cannot be captured by traditional one-dimensional models. In order to account for the effect of heterogeneity, the saturated flow experiments have been analyzed by using stochastic transport modeling. The apparent linear growth of dispersivity with distance suggested that the system behaves like a stratified one. Consequently, the model of Dagan and Bresier has been adopted in order to interpret concentration measurements. In this simple model the caisson is viewed as a bundle of columns of different permeabilities, which are characterized by a p.d.f. (probability denasity function).
Book Synopsis A Solution of the Differential Equation of Longitudinal Dispersion in Porous Media by : Akio Ogata
Download or read book A Solution of the Differential Equation of Longitudinal Dispersion in Porous Media written by Akio Ogata and published by . This book was released on 1961 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
