Impact of Saturation on Evaporation-Driven Density Instabilities in Porous Media: Mathematical and Numerical Analysis Article Swipe
Carina Bringedal
,
Stefanie Kiemle
,
C.J. van Duijn
,
Rainer Helmig
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1007/s11242-025-02207-y
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1007/s11242-025-02207-y
Evaporation from a porous medium partially saturated with saline water, causes the salinity (salt concentration) to increase near the top of the porous medium as water leaves while salt stays behind. As the density of the water increases with increased salt concentration, the evaporation leads to a gravitational unstable setting, where density instabilities can form. Whether density instabilities form, depends on a large range of parameters like the evaporation rate and intrinsic permeability of the porous medium, but also on the water saturation. As water saturation decreases, the storage, convection and diffusion of salt also decrease, which all influence the onset of instabilities. By performing a linear stability analysis on the governing equations, we give criteria for onset of instabilities, with a particular focus on impact of saturation. While decreased storage and diffusion make onset of instabilities more unstable, decreased convection has a stabilizing effect on the onset of instabilities. We find that their combined influence is that lower saturation overall gives earlier onset times. Numerical simulations give information about the further development of these instabilities. With this knowledge we can predict whether and when density instabilities occur, and how they will influence the further development of salt concentration in the porous medium.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1007/s11242-025-02207-y
- https://link.springer.com/content/pdf/10.1007/s11242-025-02207-y.pdf
- OA Status
- hybrid
- References
- 39
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4413339718
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4413339718Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1007/s11242-025-02207-yDigital Object Identifier
- Title
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Impact of Saturation on Evaporation-Driven Density Instabilities in Porous Media: Mathematical and Numerical AnalysisWork title
- Type
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articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2025Year of publication
- Publication date
-
2025-08-20Full publication date if available
- Authors
-
Carina Bringedal, Stefanie Kiemle, C.J. van Duijn, Rainer HelmigList of authors in order
- Landing page
-
https://doi.org/10.1007/s11242-025-02207-yPublisher landing page
- PDF URL
-
https://link.springer.com/content/pdf/10.1007/s11242-025-02207-y.pdfDirect link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
-
hybridOpen access status per OpenAlex
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https://link.springer.com/content/pdf/10.1007/s11242-025-02207-y.pdfDirect OA link when available
- Concepts
-
Porous medium, Saturation (graph theory), Hydrogeology, Mechanics, Evaporation, Porosity, Numerical analysis, Materials science, Geology, Statistical physics, Geotechnical engineering, Thermodynamics, Physics, Mathematics, Mathematical analysis, CombinatoricsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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39Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.While | 129 |
| abstract_inverted_index.about | 170 |
| abstract_inverted_index.focus | 124 |
| abstract_inverted_index.form, | 59 |
| abstract_inverted_index.form. | 55 |
| abstract_inverted_index.gives | 162 |
| abstract_inverted_index.large | 63 |
| abstract_inverted_index.leads | 45 |
| abstract_inverted_index.lower | 159 |
| abstract_inverted_index.onset | 101, 118, 135, 148, 164 |
| abstract_inverted_index.range | 64 |
| abstract_inverted_index.stays | 30 |
| abstract_inverted_index.their | 154 |
| abstract_inverted_index.these | 175 |
| abstract_inverted_index.water | 26, 37, 82, 85 |
| abstract_inverted_index.where | 51 |
| abstract_inverted_index.which | 97 |
| abstract_inverted_index.while | 28 |
| abstract_inverted_index.causes | 11 |
| abstract_inverted_index.effect | 145 |
| abstract_inverted_index.impact | 126 |
| abstract_inverted_index.leaves | 27 |
| abstract_inverted_index.linear | 107 |
| abstract_inverted_index.medium | 5, 24 |
| abstract_inverted_index.occur, | 188 |
| abstract_inverted_index.porous | 4, 23, 76, 202 |
| abstract_inverted_index.saline | 9 |
| abstract_inverted_index.times. | 165 |
| abstract_inverted_index.water, | 10 |
| abstract_inverted_index.Whether | 56 |
| abstract_inverted_index.behind. | 31 |
| abstract_inverted_index.density | 34, 52, 57, 186 |
| abstract_inverted_index.depends | 60 |
| abstract_inverted_index.earlier | 163 |
| abstract_inverted_index.further | 172, 195 |
| abstract_inverted_index.medium, | 77 |
| abstract_inverted_index.medium. | 203 |
| abstract_inverted_index.overall | 161 |
| abstract_inverted_index.predict | 182 |
| abstract_inverted_index.storage | 131 |
| abstract_inverted_index.whether | 183 |
| abstract_inverted_index.Abstract | 0 |
| abstract_inverted_index.analysis | 109 |
| abstract_inverted_index.combined | 155 |
| abstract_inverted_index.criteria | 116 |
| abstract_inverted_index.increase | 17 |
| abstract_inverted_index.salinity | 13 |
| abstract_inverted_index.setting, | 50 |
| abstract_inverted_index.storage, | 89 |
| abstract_inverted_index.unstable | 49 |
| abstract_inverted_index.Numerical | 166 |
| abstract_inverted_index.decrease, | 96 |
| abstract_inverted_index.decreased | 130, 140 |
| abstract_inverted_index.diffusion | 92, 133 |
| abstract_inverted_index.governing | 112 |
| abstract_inverted_index.increased | 40 |
| abstract_inverted_index.increases | 38 |
| abstract_inverted_index.influence | 99, 156, 193 |
| abstract_inverted_index.intrinsic | 72 |
| abstract_inverted_index.knowledge | 179 |
| abstract_inverted_index.partially | 6 |
| abstract_inverted_index.saturated | 7 |
| abstract_inverted_index.stability | 108 |
| abstract_inverted_index.unstable, | 139 |
| abstract_inverted_index.convection | 90, 141 |
| abstract_inverted_index.decreases, | 87 |
| abstract_inverted_index.equations, | 113 |
| abstract_inverted_index.parameters | 66 |
| abstract_inverted_index.particular | 123 |
| abstract_inverted_index.performing | 105 |
| abstract_inverted_index.saturation | 86, 160 |
| abstract_inverted_index.Evaporation | 1 |
| abstract_inverted_index.development | 173, 196 |
| abstract_inverted_index.evaporation | 44, 69 |
| abstract_inverted_index.information | 169 |
| abstract_inverted_index.saturation. | 83, 128 |
| abstract_inverted_index.simulations | 167 |
| abstract_inverted_index.stabilizing | 144 |
| abstract_inverted_index.permeability | 73 |
| abstract_inverted_index.concentration | 199 |
| abstract_inverted_index.gravitational | 48 |
| abstract_inverted_index.instabilities | 53, 58, 137, 187 |
| abstract_inverted_index.concentration) | 15 |
| abstract_inverted_index.concentration, | 42 |
| abstract_inverted_index.instabilities, | 120 |
| abstract_inverted_index.instabilities. | 103, 150, 176 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 4 |
| citation_normalized_percentile.value | 0.44728946 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |