Analytical solutions for monodisperse and polydisperse colloid transport in uniform fractures

Scott C. James; Constantinos V. Chrysikopoulos

doi:10.1016/S0927-7757(03)00316-9

Analytical solutions for monodisperse and polydisperse colloid transport in uniform fractures

Scott C. James, Constantinos V. Chrysikopoulos

Civil & Environmental Engineering

Sandia National Laboratories, New Mexico

Research output: Contribution to journal › Article › peer-review

41 Scopus citations

Abstract

Analytical solutions are derived describing the transport of suspensions of monodisperse as well as polydisperse colloid plumes of neutral buoyancy within a fracture with uniform aperture. Various initial and boundary conditions are considered. It is shown that both the finite colloid size and the characteristics of the colloid diameter distribution significantly affect the shape of colloid concentration breakthrough curves. Furthermore, increasing the standard deviation of the colloid diameter enhances colloid spreading and increases the number of attached colloids when colloid-wall interactions are taken into account. Excellent agreement between available experimental data and the analytical solution for the case of an instantaneous release of monodisperse colloids in a natural fracture is observed.

Original language	British English
Pages (from-to)	101-118
Number of pages	18
Journal	Colloids and Surfaces A: Physicochemical and Engineering Aspects
Volume	226
Issue number	1-3
DOIs	https://doi.org/10.1016/S0927-7757(03)00316-9
State	Published - 30 Sep 2003

Keywords

Analytical solutions
Effective parameters
Filtration
Monodisperse colloids
Polydisperse colloids
Uniform fracture

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10.1016/S0927-7757(03)00316-9

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title = "Analytical solutions for monodisperse and polydisperse colloid transport in uniform fractures",

abstract = "Analytical solutions are derived describing the transport of suspensions of monodisperse as well as polydisperse colloid plumes of neutral buoyancy within a fracture with uniform aperture. Various initial and boundary conditions are considered. It is shown that both the finite colloid size and the characteristics of the colloid diameter distribution significantly affect the shape of colloid concentration breakthrough curves. Furthermore, increasing the standard deviation of the colloid diameter enhances colloid spreading and increases the number of attached colloids when colloid-wall interactions are taken into account. Excellent agreement between available experimental data and the analytical solution for the case of an instantaneous release of monodisperse colloids in a natural fracture is observed.",

keywords = "Analytical solutions, Effective parameters, Filtration, Monodisperse colloids, Polydisperse colloids, Uniform fracture",

author = "James, {Scott C.} and Chrysikopoulos, {Constantinos V.}",

note = "Funding Information: S.C.J. is grateful for the support provided by the University of California, Irvine through the Regents{\textquoteright} Fellowship. S.C.J. would also like to acknowledge John Pezzullo of Georgetown University for many stimulating discussions. Many thanks to Brian Berkowitz of the Weizmann Institute of Science, Rheovat, Israel whose thoughtful and detailed review substantially improved this manuscript. Sandia is a multiprogram laboratory operated by Sandia Corporation, a Lockheed Martin Company for the United States Department of Energy's National Nuclear Security Administration under contract DE-AC04-94AL85000. ",

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T1 - Analytical solutions for monodisperse and polydisperse colloid transport in uniform fractures

AU - James, Scott C.

AU - Chrysikopoulos, Constantinos V.

N1 - Funding Information: S.C.J. is grateful for the support provided by the University of California, Irvine through the Regents’ Fellowship. S.C.J. would also like to acknowledge John Pezzullo of Georgetown University for many stimulating discussions. Many thanks to Brian Berkowitz of the Weizmann Institute of Science, Rheovat, Israel whose thoughtful and detailed review substantially improved this manuscript. Sandia is a multiprogram laboratory operated by Sandia Corporation, a Lockheed Martin Company for the United States Department of Energy's National Nuclear Security Administration under contract DE-AC04-94AL85000.

PY - 2003/9/30

Y1 - 2003/9/30

N2 - Analytical solutions are derived describing the transport of suspensions of monodisperse as well as polydisperse colloid plumes of neutral buoyancy within a fracture with uniform aperture. Various initial and boundary conditions are considered. It is shown that both the finite colloid size and the characteristics of the colloid diameter distribution significantly affect the shape of colloid concentration breakthrough curves. Furthermore, increasing the standard deviation of the colloid diameter enhances colloid spreading and increases the number of attached colloids when colloid-wall interactions are taken into account. Excellent agreement between available experimental data and the analytical solution for the case of an instantaneous release of monodisperse colloids in a natural fracture is observed.

AB - Analytical solutions are derived describing the transport of suspensions of monodisperse as well as polydisperse colloid plumes of neutral buoyancy within a fracture with uniform aperture. Various initial and boundary conditions are considered. It is shown that both the finite colloid size and the characteristics of the colloid diameter distribution significantly affect the shape of colloid concentration breakthrough curves. Furthermore, increasing the standard deviation of the colloid diameter enhances colloid spreading and increases the number of attached colloids when colloid-wall interactions are taken into account. Excellent agreement between available experimental data and the analytical solution for the case of an instantaneous release of monodisperse colloids in a natural fracture is observed.

KW - Analytical solutions

KW - Effective parameters

KW - Filtration

KW - Monodisperse colloids

KW - Polydisperse colloids

KW - Uniform fracture

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U2 - 10.1016/S0927-7757(03)00316-9

DO - 10.1016/S0927-7757(03)00316-9

M3 - Article

AN - SCOPUS:0141923017

SN - 0927-7757

VL - 226

SP - 101

EP - 118

JO - Colloids and Surfaces A: Physicochemical and Engineering Aspects

JF - Colloids and Surfaces A: Physicochemical and Engineering Aspects

IS - 1-3

ER -

Analytical solutions for monodisperse and polydisperse colloid transport in uniform fractures

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Keywords

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