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Analysis Of Solute Transport In Porous Media For Nonreactive And Sorbing Solutes Using Hybrid Fct Model
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Book Synopsis Analysis Of Solute Transport In Porous Media For Nonreactive And Sorbing Solutes Using Hybrid FCT Model by :
Download or read book Analysis Of Solute Transport In Porous Media For Nonreactive And Sorbing Solutes Using Hybrid FCT Model written by and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The thesis deals with the numerical modeling of nonreactive and nonlinearly sorbing solutes in groundwater and analysis of the effect of heterogeneity resulting from spatial variation of physical and chemical parameters on the transport of solutes. For this purpose, a hyƯbrid flux corrected transport (FCT) and central difference method based on operator-split approach is developed for advection-dispersion solute transport equation. The advective transport is solved using the FCT technique, while the dispersive transport is solved using a conventional, fully implicit, finite difference scheme. Three FCT methods are developed and extension to multidimensional cases are discussed. The FCT models developed are anlaysed using test problems possessing analytƯical solutions for one and two dimensional cases, while analysing advection and dispersion dominated transport situations. Different initial and boundary conditions, which mimic the laboratory and field situations are analysed in order to study numerical dispersion, peak cliping and grid orientation. The developed models are tested to study their relative merits and weaknesses for various grid Peclet and Courant numbers. It is observed from the one dimensional results that all the FCT models perform well for continuous solute sources under varying degrees of Courant number restriction. For sharp solute pulses FCT1 and FCT3 methods fail to simulate the fronts for advection dominated situations even for modƯerate Courant numbers. All the FCT models can be extended to multidimensions using a dimensional-split approach while FCT3 can be made fully multidimensional. It is observed that a dimensional-split approach allows use of higher Courant numbers while tracking the fronts accurately for the cases studied. The capability of the FCT2 model is demonstrated in handling situations where the flow is not aligned along the grid direction. It is observed that FCT2 method is devoid of grid orientation error, which is a common pr.
Book Synopsis Research Perspectives in Hydraulics and Water Resources Engineering by : Rama Prasad
Download or read book Research Perspectives in Hydraulics and Water Resources Engineering written by Rama Prasad and published by World Scientific. This book was released on 2002 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains ten state-of-the-art review articles on selected topics in hydraulics/fluid mechanics and water resources engineering.
Book Synopsis Modeling the Transport of Sorbing Solutes in Heterogeneous Porous Media by : Abdelkarim Mohd Asad Abulaban
Download or read book Modeling the Transport of Sorbing Solutes in Heterogeneous Porous Media written by Abdelkarim Mohd Asad Abulaban and published by . This book was released on 1994 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Flow And Transport In Porous Media - Proceedings Of The Summer School by : Brian Howard Gilding
Download or read book Flow And Transport In Porous Media - Proceedings Of The Summer School written by Brian Howard Gilding and published by World Scientific. This book was released on 1992-09-16 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents:Mathematical Modelling of Saturated and Unsaturated Groundwater Flow (B H Gilding)Applications of the Homogenization Method to Flow and Transport in Porous Media (U Hornung)Finite-Element-Approximation of Solute Transport in Porous Media with General Adsorption Processes (P Knabner)Free Boundary Problems in Fresh-Salt Goundwater Flow (C J van Duijn) Readership: Applied mathematicians and engineers. Keywords:Porous Media Equation;Diffusion Equation;Transport Equation;Infiltration Equation;Partial Differential Equation(PDE);Degenerate Parabolic Equation;Nonlinear PDE;Multiphase Flow in Porous Media;Nonlinear Diffusion;Reactive Solutes;Adsorption;Fresh and Salt Groundwater Flow;Homogenisation;Nonlinear Partial Differential Equations
Book Synopsis Simulation of Solute Transport Invariably Saturated Porous Media with Supplemental Information on Modifications to the U.S. Geological Survey's Computer Program VS2D by : R. W. Healy
Download or read book Simulation of Solute Transport Invariably Saturated Porous Media with Supplemental Information on Modifications to the U.S. Geological Survey's Computer Program VS2D written by R. W. Healy and published by . This book was released on 1990 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Non Fickian Solute Transport by : William Taylor
Download or read book Non Fickian Solute Transport written by William Taylor and published by . This book was released on 2015-02-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research-based book provides a mathematical approach based on stochastic calculus which describes state-of-the-art information regarding porous media science and engineering - prediction of dispersivity from covariance of hydraulic conductivity (velocity). The complication is of great significance for tracer examination, for improved recovery by injection of miscible gases, etc. The book elucidates a generalized mathematical model and efficient numerical methodologies that may greatly affect the stochastic porous media hydrodynamics. It begins with a descriptive basic analysis of the complication of scale dependence of the dispersion coefficient in porous media. Furthermore, relevant topics of stochastic calculus which would be helpful in modeling are discussed subsequently. An in-depth elaborative discussion regarding the development of a generalized stochastic solute transport model for any provided velocity covariance without conferring to fickian expectations from laboratory scale to field scale is also illustrated in this book. The mathematical approaches described in this book will serve as useful solutions for several other complications associated with chemical dispersion in porous media.
Book Synopsis Averaged Description of Flow (Steady and Transient) and Nonreactive Solute Transport in Random Porous Media by :
Download or read book Averaged Description of Flow (Steady and Transient) and Nonreactive Solute Transport in Random Porous Media written by and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In previous papers (Shvidler and Karasaki, 1999, 2001, 2005, and 2008) we presented and analyzed an approach for finding the general forms of exactly averaged equations of flow and transport in porous media. We studied systems of basic equations for steady flow with sources in unbounded domains with stochastically homogeneous conductivity fields. A brief analysis of exactly averaged equations of nonsteady flow and nonreactive solute transport was also presented. At the core of this approach is the existence of appropriate random Green's functions. For example, we showed that in the case of a 3-dimensional unbounded domain the existence of appropriate random Green's functions is sufficient for finding the exact nonlocal averaged equations for flow velocity using the operator with a unique kernel-vector. Examination of random fields with global symmetry (isotropy, transversal isotropy and orthotropy) makes it possible to describe significantly different types of averaged equations with nonlocal unique operators. It is evident that the existence of random Green's functions for physical linear processes is equivalent to assuming the existence of some linear random operators for appropriate stochastic equations. If we restricted ourselves to this assumption only, as we have done in this paper, we can study the processes in any dimensional bounded or unbounded fields and in addition, cases in which the random fields of conductivity and porosity are stochastically nonhomogeneous, nonglobally symmetrical, etc. It is clear that examining more general cases involves significant difficulty and constricts the analysis of structural types for the processes being studied. Nevertheless, we show that we obtain the essential information regarding averaged equations for steady and transient flow, as well as for solute transport.
Book Synopsis Non-fickian Solute Transport in Porous Media by : Don Kulasiri
Download or read book Non-fickian Solute Transport in Porous Media written by Don Kulasiri and published by Springer. This book was released on 2013-04-23 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advection-dispersion equation that is used to model the solute transport in a porous medium is based on the premise that the fluctuating components of the flow velocity, hence the fluxes, due to a porous matrix can be assumed to obey a relationship similar to Fick’s law. This introduces phenomenological coefficients which are dependent on the scale of the experiments. This book presents an approach, based on sound theories of stochastic calculus and differential equations, which removes this basic premise. This leads to a multiscale theory with scale independent coefficients. This book illustrates this outcome with available data at different scales, from experimental laboratory scales to regional scales.
Book Synopsis Solute Non-equilibrium Transport in Heterogeneous Porous Media by : Wenlin Chen
Download or read book Solute Non-equilibrium Transport in Heterogeneous Porous Media written by Wenlin Chen and published by . This book was released on 1994 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Transport of Sorbing Solutes in Randomly Heterogeneous Formations by :
Download or read book Transport of Sorbing Solutes in Randomly Heterogeneous Formations written by and published by . This book was released on 1993 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: Expressions for the spatial moments and macrodispersion tensor for sorbing solutes in heterogeneous formations were presented using a probabilistic model of a fluid residence time coupled with the particle position analysis. The fluid residence time was defined as a fraction of the actual time during which the particle stayed in the mobile fluid phase of the aquifer. The fluid residence time is a random variable whose variability comes as a result of the non-equilibrium sorption properties. The sorbing solute was assumed to be governed with first-order linear kinetics. The closed-form expressions were based on the stationarity in the kinetic process and on the first-order approximation in the hydraulic conductivity field and in the fluid residence time. The non-equilibrium effects were presented as a function of the spatial variability in hydraulic conductivity and temporal variability in the fluid residence time. The importance of the non-equilibrium processes in the field scale was found to be dependent on reaction rates, retardation factor, mean velocity, and on variance and correlation scale of the hydraulic conductivity. The time needed to reach the asymptotic macrodispersivity is dependent on the degree of non-equilibrium processes and distribution coefficient. The impact from the uncertainty in parameters upon the spatial moments was examined and compared with the organic tracer used in the Borden field experiment.
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 Travel Time Analysis of Kinetically Sorbing Solute in Heterogenous Porous Media by : Jan-Olof Selroos
Download or read book Stochastic Travel Time Analysis of Kinetically Sorbing Solute in Heterogenous Porous Media written by Jan-Olof Selroos and published by . This book was released on 1992 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Experimental and Numerical Analysis of Solute Transport Through Saturated Porous Media by : Sridhar Ranganathan
Download or read book Experimental and Numerical Analysis of Solute Transport Through Saturated Porous Media written by Sridhar Ranganathan and published by . This book was released on 1990 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Continuous Time Random Walk Analysis of Solute Transport in Fractured Porous Media by :
Download or read book Continuous Time Random Walk Analysis of Solute Transport in Fractured Porous Media written by and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this work is to discuss solute transport phenomena in fractured porous media, where the macroscopic transport of contaminants in the highly permeable interconnected fractures can be strongly affected by solute exchange with the porous rock matrix. We are interested in a wide range of rock types, with matrix hydraulic conductivities varying from almost impermeable (e.g., granites) to somewhat permeable (e.g., porous sandstones). In the first case, molecular diffusion is the only transport process causing the transfer of contaminants between the fractures and the matrix blocks. In the second case, additional solute transfer occurs as a result of a combination of advective and dispersive transport mechanisms, with considerable impact on the macroscopic transport behavior. We start our study by conducting numerical tracer experiments employing a discrete (microscopic) representation of fractures and matrix. Using the discrete simulations as a surrogate for the 'correct' transport behavior, we then evaluate the accuracy of macroscopic (continuum) approaches in comparison with the discrete results. However, instead of using dual-continuum models, which are quite often used to account for this type of heterogeneity, we develop a macroscopic model based on the Continuous Time Random Walk (CTRW) framework, which characterizes the interaction between the fractured and porous rock domains by using a probability distribution function of residence times. A parametric study of how CTRW parameters evolve is presented, describing transport as a function of the hydraulic conductivity ratio between fractured and porous domains.
Book Synopsis MOTIF - model of transport in fractured porous media version 3.6 with non-linear sorption in the solute transport module : annual status report on MOTIF improvements by : V. Guvanasen
Download or read book MOTIF - model of transport in fractured porous media version 3.6 with non-linear sorption in the solute transport module : annual status report on MOTIF improvements written by V. Guvanasen and published by . This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Nonideal Flow and Solute Transport in Unsaturated Porous Media by : Robert J. Mitchell
Download or read book Nonideal Flow and Solute Transport in Unsaturated Porous Media written by Robert J. Mitchell and published by . This book was released on 1996 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
