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Tracer dispersion in porous media
Thesis (M. Sc.) -- University of Stellenbosch, 1992.
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| Format: | Thesis |
| Language: | English |
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Stellenbosch : Stellenbosch University
2012
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| _version_ | 1867613984962641920 |
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| access_status_str | Open Access |
| author | Diedericks, Gerhardus Petrus Jacobus |
| author2 | Du Plessis, J. P. |
| author_browse | Diedericks, Gerhardus Petrus Jacobus Du Plessis, J. P. |
| author_facet | Du Plessis, J. P. Diedericks, Gerhardus Petrus Jacobus |
| author_sort | Diedericks, Gerhardus Petrus Jacobus |
| collection | Thesis |
| dc_rights_str_mv | Stellenbosch University |
| description | Thesis (M. Sc.) -- University of Stellenbosch, 1992. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/69828 |
| institution | Stellenbosch University (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:44:50.018Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2012 |
| publishDateRange | 2012 |
| publishDateSort | 2012 |
| publisher | Stellenbosch : Stellenbosch University |
| publisherStr | Stellenbosch : Stellenbosch University |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/69828 Tracer dispersion in porous media Diedericks, Gerhardus Petrus Jacobus Du Plessis, J. P. Stellenbosch University. Faculty of Science. Dept. of Applied Mathematics. Porous materials Tracers (Chemistry) Dissertations -- Applied mathematics Thesis (M. Sc.) -- University of Stellenbosch, 1992. The purpose of this study is to investigate the possibility of describing the movement of a tracer, diluted in a fluid phase while traversing a porous medium, by a means of a newly developed porous medium model. Starting with a microscopic balance law for a constituent of a multispecies mixture and employing the principles of continuum mechanics and a volumetric averaging approach, the macroscopic balance equation for a tracer traversing a porous medium is derived. The main concern of the study then is to derive a macroscopic expression for the dispersive flux which appears in the latter equation as a result of the averaging. The dispersive flux is analysed according to a porous medium model developed by Du Plessis and Masliyah. The geometric nature of the model makes it possible to address the microstructure of the porous medium specifically in order to model the fluid–solid interactions, which is a direct cause of mechanical dispersion. Although a suitable expression for the divergence of the dispersive flux in the streamwise direction is not obtained, this study does point out certain conditions under which streamwise dispersion can be adequately modelled. An expression for the divergence of the dispersive flux in the transverse direction is obtained in terms of macroscopic and measurable parameters. The nature of the coefficient of transverse dispersion which appears in the expression of the dispersive flux is analysed and interpreted. This study indicates that it is possible to analyse tracer dispersion according to the porous medium model developed by Du Plessis and Masliyah, and aims to form a mathematical basis from which mechanical dispersion can be more accurately described. Masters 2012-08-27T12:27:17Z 2012-08-27T12:27:17Z 1992 Thesis http://hdl.handle.net/10019.1/69828 en Stellenbosch University 100 pages : ill. application/pdf Stellenbosch : Stellenbosch University |
| spellingShingle | Porous materials Tracers (Chemistry) Dissertations -- Applied mathematics Diedericks, Gerhardus Petrus Jacobus Tracer dispersion in porous media |
| title | Tracer dispersion in porous media |
| title_full | Tracer dispersion in porous media |
| title_fullStr | Tracer dispersion in porous media |
| title_full_unstemmed | Tracer dispersion in porous media |
| title_short | Tracer dispersion in porous media |
| title_sort | tracer dispersion in porous media |
| topic | Porous materials Tracers (Chemistry) Dissertations -- Applied mathematics |
| url | http://hdl.handle.net/10019.1/69828 |
| work_keys_str_mv | AT diedericksgerharduspetrusjacobus tracerdispersioninporousmedia |