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Monday, April 27, 2020 | History

3 edition of Dispersion in heterogeneous nonuniform anisotropic porous media found in the catalog.

Dispersion in heterogeneous nonuniform anisotropic porous media

Robert Albert Greenkorn

Dispersion in heterogeneous nonuniform anisotropic porous media

  • 377 Want to read
  • 5 Currently reading

Published by [Environmental Protection Agency, Water Quality Office]; for sale by the Supt. of Docs., U.S. Govt. Print. Off. in Washington .
Written in English

    Subjects:
  • Dispersion.,
  • Laminar flow.,
  • Mixing.,
  • Porosity.

  • Edition Notes

    Statementby Robert A. Greenkorn.
    SeriesWater pollution control research series
    ContributionsUnited States. Environmental Protection Agency. Water Quality Office.
    Classifications
    LC ClassificationsTC171 .G67
    The Physical Object
    Paginationx, 82 p.
    Number of Pages82
    ID Numbers
    Open LibraryOL4067188M
    LC Control Number79611638

    Computation of the Longitudinal Dispersion Coe cient in an Adsorbing Porous Medium Using Homogenization Aiske Rijnks1, Mohamed Darwish2, and Hans Bruining;3 1StatoilHydro ASA, 2Shell Exploration & Production International Centre, 3TU Delft Corresponding author: Section of Geoengineering, Faculty of Civil Engineering and Geosciences, TU Delft. Numerical Simulation of Flows in Highly Heterogeneous Porous Media R. Lazarov, Y. Efendiev, J. Galvis, K. Shi, J. Willems The Second International Conference on Engineering and Computational Mathematics (ECM) Hong Kong, Decem . An upscaled Lattice Boltzmann Method (LBM) for flow simulations in heterogeneous porous media at the Darcy scale is proposed in this paper. In the Darcy-scale simulations, the Shan-Chen force model is used to simplify the algorithm. The proposed upscaled LBM uses coarser grids to represent the average effects of the fine-grid simulations. In the upscaled LBM, each coarse Cited by: 7.   Landman AJ, Schotting R, Egorov A, Demidov D. Density-dependent dispersion in heterogeneous porous media Part II: Comparison with nonlinear models. Advances in Water Resources. b; 30 (12)– Landman AJ, Schotting RJ. Heat and brine transport in porous media: the Oberbeck-Boussinesq approximation revisited. Transport in Porous by: 5.

    Samer Majdalani, Vincent Guinot, Carole Delenne and Hicham Gebran, Modelling solute dispersion in periodic heterogeneous porous media: Model benchmarking against intermediate scale experiments, Journal of Hydrology, /l, , (), ().


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Dispersion in heterogeneous nonuniform anisotropic porous media by Robert Albert Greenkorn Download PDF EPUB FB2

DISPERSION IN HETEROGENEOUS NONUNIFORM ANISOTROPIC POROUS MEDIA Robert A. Greenkorn School of Chemical Engineering Purdue University Lafayette, Indiana for the WATER QUALITY OFFICE ENVIRONMENTAL PROTECTION AGENCY Grant No.

DLL (Formerly WPK&) September For salo by the Superintendent of Documents, U.S. Get this from a library. Dispersion in heterogeneous nonuniform anisotropic porous media. Dispersion in heterogeneous nonuniform anisotropic porous media book Albert Greenkorn; Purdue University.

School of Chemical Engineering.; United States. Environmental Protection Agency. Water Quality Office.] -- The objective of this project is to study the theory and measurement of dispersion during miscible flow in heterogeneous nonuniform.

A tensor model for the dispersion coefficient for saturated flow in anisotropic, homogeneous porous media is proposed. The tensor components are evaluated from experiments with an anisotropic, homogeneous porous medium, constructed from thin, alternating layers of two types of sand, having different mean particle sizes.

Determination of structure of porous media / F.A.L. Dullien, V.K. Batra --Advances in theory of fluid motion in porous media / Stephen Whitaker --Anisotropic permeability in porous media / Philip A. Rice [and others] --Diffusion and flow of gases in porous solids / Gordon R. Youngquist --Non-Newtonian flow through porous media / J.

George. Dispersion variance for transport in heterogeneous porous media spatially nonuniform uncertainties to predictions of flows, and new tools for extracting fluid. negligible impact on the overall longitudinal dispersion in porous media.

The dispersion integrals are evaluated using a Monte Carlo integration technique. An analysis of the permeability in nonuniform porous media is used to establish a proper flow field for the analysis of.

@article{osti_, title = {Dispersion and adsorption in porous media flow}, author = {Banks, R.B. and Ali, I.}, abstractNote = {The authors conclude that adsorption is an important phenomenon in mixing of miscible fluids in a porous media consisting of glass spheres.

The writers contend that this conclusion is not substantiated by experimental data presented in the. Anomalous dispersion in chemically heterogeneous media induced by long-range disorder correlation Article in Journal of Fluid Mechanics March with Dispersion in heterogeneous nonuniform anisotropic porous media book Reads How we measure 'reads'.

Part of the Theory and Applications of Transport in Porous Media book series (TATP, volume 19) In their attempt to describe dispersion phenomena in mathematical form several authors arrived at the conclusion, that a porous medium possesses a coefficient of dispersion, which has the character of a by: 8.

Anomalous transport processes in porous media have become a central physical issue due to the increasing amount of processes and applications where it Cited by: 1. Gas dispersion in a set of three different porous materials with similar particle size, as a function of material tortuosity and anisotropy ratio, was investigated.

The materials were packed with different spatial orientations of the individual particles so as to create media with different tortuosity and anisotropy ratios. Three different media (slate chips, wood chips, and Cited by: LOVE WAVE DISPERSION IN HETEROGENEOUS ANISOTROPIC MEDIA* IION L. ANDEKSONf.\n analysis is made of Love-wave propagation in a medium comlxxctl of transverselv isotropic layers.

This is the kind of anisotropy which most commonly occurs at the surface of the earth, and in particular is displayed by bedded Size: KB. Vorticity and upscaled dispersion in 3D heterogeneous porous media Mariaines Di Dato (1), Gabriele Chiogna (2), Felipe de Barros (3), Alberto Bellin (1), and Aldo Fiori (4) (1) Dipartimento di Ingegneria Civile Ambientale e Meccanica, University of Trento, Trento, Italy (@ Anisotropy and Heterogeneity of Porous Media 1.

Practical Knowledge and heterogeneous if dependent on position – is isotropic at the point of measurement if K is independent of the direction, and anisotropic if it varies with the direction of File Size: 46KB. The experiments were conducted in two laboratory flow cells (A and B) filled with porous media.

The design of the experimental flow cells is illustrated in Fig. internal dimensions of flow cells A and B are ×× m and ×× m, in the x- y- and z-directions, flow cells were designed to allow flow to be established with a mean gradient Cited by: The possibilities of generalizing the dispersion equations of flow through porous media are investigated.

Based on the hypothesis (‘Bear's hypothesis’) that only that part of each velocity component is of significance which is either parallel or normal to the mean flow direction, the general form of the dispersion is by: A theoretical and experimental investigation has been made of the longitudinal dispersion of chemically and dynamically passive solutes during flow through nonuniform, isotropic porous media.

Both theoretical and experimental results are limited to the high Peclet number, low Reynolds number flow regime. The goal of the theoretical investigation is to provide a. Introduction [2] The problem of transport of chemical species in porous media is a generic problem for scientists, chemical engineers, reservoir engineers, etc.

Usual theories of transport, based on a Fickian dispersion process, have often proven to be quite inadequate when tested on natural formations. These formations have a nonideal behavior (in contrast with the ideal Cited by:   () Convection, dispersion, and interfacial transport of contaminants: Homogeneous porous media.

Advances in Water Resources() Transport in ordered and disordered porous media: volume-averaged equations, closure problems, and comparison with by: MODELING FLUID FLOW IN HETEROGENEOUS AND ANISOTROPIC POROUS MEDIA by Xiaomin Zhao and M.

Naft Toksoz Earth Resources Laboratory Department ofEarth, Atmospheric, and Planetary Sciences Massachusetts Institute ofTechnology Cambridge, MA ABSTRACT Permeability distribution inreservoirs is very important for the flow ofwater oroil and gas. Abstract. This paper describes a study, based on core data, of the directional permeability of a sandstone reservoir.

Directional air permeabilities are explained and correlated with lithology by the tensor theory of permeability, which is extended to the more general case of heterogeneous anisotropic porous by: 2. Propagation in anisotropic media Linear anisotropic media Only the restriction of [A u] in the phase plane plays a role.

We thus have to find the two eigenvectors and eigenvalues of a 2x2 symmetric matrix ⇒ 2 real eigenvalues 1/n’² and 1/n’’²(we will show later that they must be positive) ⇒ orthogonal eigenvectors D’⊥D’’. Macroscopic modelling of dispersion pro-cesses in isotropic porous media is usually based on the convective-diffusion equation: D L @2C @z2 þ 1 r @ @r D Tr @C @r ¼ u @C @z þ @C @t (1) where C is the mean solute concentration, u (¼U/1, where U is the superficial velocity and 1 the porosity of the porous media of inert particles with.

TRANSVERSE DISPERSION IN LIQUID FLOW THROUGH POROUS MEDIA BY EUGENE S. SIMPSON ABSTRACT It is assumed that a line source of tracer elements exists in a porous medium through which an incompressible fluid is flowing. Each tracer element is assumed (a) to be completely miscibleCited by: Asymptotic dispersion in 2D heterogeneous porous media determined by parallel numerical simulations Jean-Raynald de Dreuzy,1 Anthony Beaudoin,2,3 and Jocelyne Erhel2 Received 2 August ; revised 30 July ; accepted 14 August ; published XX Month A procedure has been developed by which dispersion coefficients may be estimated in general porous media.

The formulation utilizes the Taylor hypothesis which states that the dispersion coefficient tensor equals the covariance of the pore velocity fluctuations times Cited by: 7. Chattaraj, R., Samal, S.K., Mahanti, N.C., ().

Dispersion of Love wave propagating in irregular anisotropic porous stratum under initial stress. International Journal of Geomechanics 13(4): [ Links ] Chatopadhyay, A., (). On the dispersion equation for Love wave due to irregularity in the thickness of non-homogeneous crustal by: 3.

Non-Fickian dispersion in porous media explained by heterogeneous microscale matrix diffusion Philippe Gouze,1 Yasmin Melean,1 Tanguy Le Borgne,1 Marco Dentz,2 and Jesus Carrera3 Received 21 November ; revised 7 May ; accepted 28 July ; published 13 November dispersion coefficient and show that unless one studies solute transport in the advection dominated regime, it is not appropriate to take D T to be 1 order of magnitude less than D L.

Citation: Bijeljic, B., and M. Blunt (), Pore-scale modeling of transverse dispersion in porous media, Water Resour. Res., 43, W12S11, doi anisotropic porous medium into a ditch.

General 2D permeability matrix Our question was: Will our 2D drainage theory for a uniformly draining ditch be valid for a class of porous media with 3D anisotropy. The answer is yes. It is valid for general 3D anisotropy, defining the effective 2D permeability matrix presented here x y yx yy xx xy K K K KFile Size: 1MB.

Dispersion and advection in unsaturated porous media enhanced by anion exclusion. Solving the Nernst‐Planck Equation in Heterogeneous Porous Media With Finite Volume Methods: Averaging.

Diffusion and dispersion in porous rocks are of current interest to the oil industry. This interest arises because of the influence of dispersion on miscible-displacement processes.

In a recovery process utilizing a zone of miscible fluid, there is the possibility of losing miscibility by dissipating the miscible fluid or by channeling or. investigated propagation of Love waves in saturated porous anisotropic layer.

Kakar and Gupta () studied Love waves in an intermediate heterogeneous layer lying in between homogeneous and inhomogeneous isotropic elastic half-spaces.

More recently, Kundu et al. (a; b) have examined Love wave propagation in fiber-reinforced media. DISPERSION IN GROUND WATER FLOWING THROUGH HETEROGENEOUS MATERIALS By H. SKIBITZKE and G. KOBINSON ABSTRACT Laboratory studies of dispersion in water flowing through porous media show that the heterogeneity of the medium is the dominant dispersive factor.

All other factors have insignificant effects on dispersion. INTRODUCTIONCited by: Due to the difficulty of characterizing complex heterogeneities with mathematical equations, the analytical solution based on the convection-dispersion equation assumes dispersion that is independent of time and space.

However, moreestablished results suggest that dispersion varies with space due to the complexity of a porous structure and the effect of large e heterogeneities. to minimize the dispersion error, (3) can be efficiently imple-mented using the fast Fourier transform algorithm, and (4) handles propagation in heterogeneous media very efficiently.

k-space methods can be viewed as a class of integrating factors originated from scattering problems in the computa-tional wave theory [22], [23]. The non-isothermal transport during flow in porous media is studied for single- and dual-scale porous media.

A new combined experimental/numerical approach to estimating the thermal dispersion tensor is introduced and applied for both isotropic (single-scale) and anisotropic (dual-scale) porous media.

The equiva. cells for stratified porous media [11]. In a later work by Quintard et al.[12], a one-equation model, without involving large-scale mass equilibrium, was derived for studying mass dispersion in heterogeneous porous 35 media.

In addition, solutions to the closure problems have also been carried out for two-equation models inCited by: 7. @article{osti_, title = {Dispersion measurement as a method of quantifying geologic characterization and defining reservoir heterogeneity.

Annual report, J Septem }, author = {Menzie, D E}, abstractNote = {Since reservoirs are heterogeneous, nonuniform, and anisotropic, the success or failure of many enhanced oil recovery techniques. advection and dispersion as well as adsorption are some of the key factors and play an important role in spreading of a contaminant.

Numerous theoretical and experimental studies have been carried out to investigate the mechanisms of solute movement in porous media considering Krupp and Elrick, ; Huang et al., ,Author: Mohammad Reza Fadaei Tehrani, Raheleh Feizy, Homayoun Jahanian.

In optics, dispersion is the phenomenon in which the phase velocity of a wave depends on its frequency. Media having this common property may be termed dispersive mes the term chromatic dispersion is used for specificity.

Although the term is used in the field of optics to describe light and other electromagnetic waves, dispersion in the same sense can apply to .Dispersion in periodic porous media B. Amazian, A.

Bourgeat, M. Jurak Dispersion in periodic porous media – p.1/ANISOTROPIC Q AND VELOCITY DISPERSION where z1 and z2 are time constants, and Q, defines the value of the quality factor which remains nearly constant over the selected frequency fange.

The elastic limit is reached when z1 + z2, in which case M, + that Q, = Re [M,]/Im [M,], v = 1, 2 represent the bulk and shear quality factors, respectively, and that the.