the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
Time dependent dispersivity behavior of non-reactive solutes in a system of parallel fractures
Abstract. In order to obtain meaningful predictions of contaminant transport, an accurate way of quantifying dispersivity needs to be developed. Results from the theoretical studies suggest that dispersion and the associated dispersivity is non-fickian near the source of contaminant and it grows with travel time and distance. In most tests of a limited duration it is quite probable that the asymptotic regime is not reached, and a proper interpretation of the test should be based on the time-dependent results due to the difficulty associated with the expensive experimental setups added to the marked scarcity of field data. An attempt has been made using spatial moment analysis to evaluate the time dependent dispersivity for a system of parallel fractures with matrix diffusion. The study is limited to non-reactive solutes, having a constant continuous source. An empirical relation to evaluate the dispersivity was developed by us based on the sensitivity analysis, when distinct parallel fractures have constant aperture width and is found to be functions of matrix porosity, matrix diffusion coefficient and injected fracture velocity at pre-asymptotic stage. The system becomes more complex when the aperture widths of the distinct parallel fractures are varied, as it appears that the initial development period of non-fickian behavior may be long due to the continuous lateral mixing of the solute body. It is found that dispersivity at pre-asymptotic regime increases with the coefficient of variation for distinct parallel fractures with varying aperture widths.
- Preprint
(737 KB) - Metadata XML
- BibTeX
- EndNote
- Printer-friendly version
- Supplement
-
RC S310: 'referee comment', Anonymous Referee #2, 18 Jun 2006
-
AC S1017: 'Reply to the Comments of Referee # 2', Debasmita Misra, 27 Sep 2006
-
AC S1017: 'Reply to the Comments of Referee # 2', Debasmita Misra, 27 Sep 2006
-
RC S538: 'no comment', Anonymous Referee #1, 24 Jul 2006
-
AC S999: 'Reply to the Comments of Referee # 1', Debasmita Misra, 25 Sep 2006
-
AC S999: 'Reply to the Comments of Referee # 1', Debasmita Misra, 25 Sep 2006
- Printer-friendly version
- Supplement
-
RC S310: 'referee comment', Anonymous Referee #2, 18 Jun 2006
-
AC S1017: 'Reply to the Comments of Referee # 2', Debasmita Misra, 27 Sep 2006
-
AC S1017: 'Reply to the Comments of Referee # 2', Debasmita Misra, 27 Sep 2006
-
RC S538: 'no comment', Anonymous Referee #1, 24 Jul 2006
-
AC S999: 'Reply to the Comments of Referee # 1', Debasmita Misra, 25 Sep 2006
-
AC S999: 'Reply to the Comments of Referee # 1', Debasmita Misra, 25 Sep 2006
Viewed
| HTML | XML | Total | BibTeX | EndNote | |
|---|---|---|---|---|---|
| 1,110 | 455 | 61 | 1,626 | 83 | 89 |
- HTML: 1,110
- PDF: 455
- XML: 61
- Total: 1,626
- BibTeX: 83
- EndNote: 89
Cited
12 citations as recorded by crossref.
- Gravity-driven fingers in fractures: Experimental study and dispersion analysis by moment method for a point-source injection J. Mainhagu et al. 10.1016/j.jconhyd.2012.02.004
- Review of non-equilibrium flow and transport models in saturated porous media A. Chandel & D. Swami 10.32438/WPE.222021
- Subsurface transport of nuclear wastes in the Indian subcontinent G. Suresh Kumar 10.1080/09715010.2014.984249
- Non-reactive solute transport modelling with time-dependent dispersion through stratified porous media A. GULERIA et al. 10.1007/s12046-019-1056-6
- One-dimensional uniform and time varying solute dispersion along transient groundwater flow in a semi-infinite aquifer M. Singh et al. 10.2478/s11600-014-0208-7
- Analytical Solution for Two-Dimensional Solute Transport in Finite Aquifer with Time-Dependent Source Concentration M. Singh et al. 10.1061/(ASCE)EM.1943-7889.0000177
- Numerical Modeling on Benzene Dissolution into Groundwater and Transport of Dissolved Benzene in a Saturated Fracture-Matrix System V. Renu & G. Kumar 10.1007/s40710-016-0166-y
- Numerical Solution of Two-Dimensional Solute Transport System Using Operational Matrices S. Jaiswal et al. 10.1007/s11242-017-0986-x
- Comparative Study of Analytical Solutions for Time-Dependent Solute Transport Along Unsteady Groundwater Flow in Semi-infinite Aquifer M. Kumar Singh et al. 10.4236/ijg.2011.24048
- Numerical modeling of reactive solute transport in a single fracture with matrix diffusion under complex boundary condition G. Suresh Kumar & T. Rakesh 10.1080/09715010.2014.981956
- Application of temporal moments to interpret solute transport with time-dependent dispersion A. Guleria et al. 10.1007/s12046-020-01402-5
- Simulating Scale Dependencies on Dispersive Mass Transfer in Porous Media Under Various Boundary Conditions N. Natarajan et al. 10.1007/s40996-020-00383-z
