URI | http://purl.tuc.gr/dl/dias/F8BDAA09-ADB9-4FF9-B398-9C94E0A57ACC | - |
Identifier | https://doi.org/10.1016/0309-1708(94)90032-9 | - |
Language | en | - |
Extent | 14pages | en |
Title | Analytical solutions for one-dimensional colloid transport in saturated fractures | en |
Creator | Chrysikopoulos Constantinos | en |
Creator | Χρυσικοπουλος Κωνσταντινος | el |
Creator | Assem Abdel-Salam | en |
Content Summary | Closed-form analytical solutions for colloid transport in single rock fractures with
and without colloid penetration into the rock matrix are derived for constant
concentration as well as constant flux boundary conditions. A single fracture is
idealized as two semi-infinite parallel plates. It is assumed that colloidal particles
undergo irreversible deposition onto fracture surfaces and may penetrate into the
rock matrix, and deposit irreversibly onto rock matrix solid surfaces. The
solutions are obtained by taking Laplace transforms to the governing transport
equations and boundary conditions with respect to time and space. For the case
of no colloid penetration into the rock matrix, the solutions are expressed in terms
of exponentials and complimentary error functions; whereas, for the case of
colloid penetration into the rock matrix, the solutions are expressed in terms of
convolution integrals and modified Bessel functions. The impact of the model
parameters on colloid transport is examined. The results from several simulations
indicate that liquid-phase as well as deposited colloid concentrations in the
fracture are sensitive to the fracture surface deposition coefficient, the fracture
aperture, and the Brownian diffusion coefficient for colloidal particles penetrating
the rock matrix. Furthermore, it is shown that the differences between the two
boundary conditions investigated are minimized at dominant advective transport
conditions. The constant concentration condition overestimates liquid-phase
colloid concentrations, whereas the constant flux condition leads to conservation
of mass.
| en |
Type of Item | Peer-Reviewed Journal Publication | en |
Type of Item | Δημοσίευση σε Περιοδικό με Κριτές | el |
License | http://creativecommons.org/licenses/by/4.0/ | en |
Date of Item | 2015-09-18 | - |
Date of Publication | 1994 | - |
Bibliographic Citation | A. A. Salam, C. V. Chrysikopoulos, "Analytical solutions for one-dimensional colloid transport in saturated fractures ",Adv.n Wa. Res.,vol.17,no. 5,pp. 283- 296,1994.doi :10.1016/0309-1708(94)90032-9 | en |