Invasion Percolation in Presence of Gravity
Simultaneous capillary dominated displacement of the wetting and non-wetting phases are processes of interest in many disciplines including modeling of the penetration of polluting liquids in hydrology or the secondary migration in petroleum reservoir engineering. Percolation models and in particula...
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| Format: | Article |
| Language: | English |
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Iranian Institute of Research and Development in Chemical Industries (IRDCI)-ACECR
2010-03-01
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| Series: | Iranian Journal of Chemistry & Chemical Engineering |
| Subjects: | |
| Online Access: | http://www.ijcce.ac.ir/article_6731_f053f141328dd70311c25b2a4fcfb540.pdf |
| _version_ | 1818766278188335104 |
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| author | Sara Ma’soum Mohsen Masihi |
| author_facet | Sara Ma’soum Mohsen Masihi |
| author_sort | Sara Ma’soum |
| collection | DOAJ |
| description | Simultaneous capillary dominated displacement of the wetting and non-wetting phases are processes of interest in many disciplines including modeling of the penetration of polluting liquids in hydrology or the secondary migration in petroleum reservoir engineering. Percolation models and in particular invasion percolation is well suited to characterize the slow immiscible displacement of two fluids when both the gravity and viscous effects are negligible. In particular, the characteristic of the percolating cluster and the other important percolation properties at the breakthrough can be inferred. However, with the inclusion of the gravity forces, the behavior may change. For example, as the magnitudes of the gravity forces are comparable to the capillary forces, we have observed a transition in the structure of the interface (i.e. invasion front) depending on the dimensionless Bond number (i.e. ratio of gravity to capillary forces). We have taken a numerical study of the displacement of two immiscible fluids in the presence of the gravity force in a network of random pores. The main contribution is to investigate the effect of heterogeneity by considering various throat size distributions. We consider the injection to take place from one side of the system and displace the displaced fluid from the other side. The condition of the stability or instability of the front (or interface) is observed to be dependent on the dimensionless bond number as well as the heterogeneity of the system. |
| first_indexed | 2024-12-18T08:31:27Z |
| format | Article |
| id | doaj.art-ac10dad85be643319f9b0e315cd78288 |
| institution | Directory Open Access Journal |
| issn | 1021-9986 1021-9986 |
| language | English |
| last_indexed | 2024-12-18T08:31:27Z |
| publishDate | 2010-03-01 |
| publisher | Iranian Institute of Research and Development in Chemical Industries (IRDCI)-ACECR |
| record_format | Article |
| series | Iranian Journal of Chemistry & Chemical Engineering |
| spelling | doaj.art-ac10dad85be643319f9b0e315cd782882022-12-21T21:14:27ZengIranian Institute of Research and Development in Chemical Industries (IRDCI)-ACECRIranian Journal of Chemistry & Chemical Engineering1021-99861021-99862010-03-0129171826731Invasion Percolation in Presence of GravitySara Ma’soum0Mohsen Masihi1Faculty of Chemical and Petroleum Engineering, Sharif University of Technology, P.O. Box 11365-9465 Tehran, I.R. IRANFaculty of Chemical and Petroleum Engineering, Sharif University of Technology, P.O. Box 11365-9465 Tehran, I.R. IRANSimultaneous capillary dominated displacement of the wetting and non-wetting phases are processes of interest in many disciplines including modeling of the penetration of polluting liquids in hydrology or the secondary migration in petroleum reservoir engineering. Percolation models and in particular invasion percolation is well suited to characterize the slow immiscible displacement of two fluids when both the gravity and viscous effects are negligible. In particular, the characteristic of the percolating cluster and the other important percolation properties at the breakthrough can be inferred. However, with the inclusion of the gravity forces, the behavior may change. For example, as the magnitudes of the gravity forces are comparable to the capillary forces, we have observed a transition in the structure of the interface (i.e. invasion front) depending on the dimensionless Bond number (i.e. ratio of gravity to capillary forces). We have taken a numerical study of the displacement of two immiscible fluids in the presence of the gravity force in a network of random pores. The main contribution is to investigate the effect of heterogeneity by considering various throat size distributions. We consider the injection to take place from one side of the system and displace the displaced fluid from the other side. The condition of the stability or instability of the front (or interface) is observed to be dependent on the dimensionless bond number as well as the heterogeneity of the system.http://www.ijcce.ac.ir/article_6731_f053f141328dd70311c25b2a4fcfb540.pdfpore scalemodellingimmiscible displacementinvasion percolationgravity |
| spellingShingle | Sara Ma’soum Mohsen Masihi Invasion Percolation in Presence of Gravity Iranian Journal of Chemistry & Chemical Engineering pore scale modelling immiscible displacement invasion percolation gravity |
| title | Invasion Percolation in Presence of Gravity |
| title_full | Invasion Percolation in Presence of Gravity |
| title_fullStr | Invasion Percolation in Presence of Gravity |
| title_full_unstemmed | Invasion Percolation in Presence of Gravity |
| title_short | Invasion Percolation in Presence of Gravity |
| title_sort | invasion percolation in presence of gravity |
| topic | pore scale modelling immiscible displacement invasion percolation gravity |
| url | http://www.ijcce.ac.ir/article_6731_f053f141328dd70311c25b2a4fcfb540.pdf |
| work_keys_str_mv | AT saramasoum invasionpercolationinpresenceofgravity AT mohsenmasihi invasionpercolationinpresenceofgravity |