Investigating rough single-fracture permeabilities with persistent homology
<p>The permeability of rock fractures is a crucial parameter for flow processes in the subsurface. In the last few decades, different methods were developed to investigate on permeability in fractures, such as flow-through experiments, numerical flow simulations, or empirical equations. In rec...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Copernicus Publications
2024-03-01
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| Series: | Solid Earth |
| Online Access: | https://se.copernicus.org/articles/15/353/2024/se-15-353-2024.pdf |
| _version_ | 1797263306802593792 |
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| author | M. Fuchs A. Suzuki T. Hasumi P. Blum |
| author_facet | M. Fuchs A. Suzuki T. Hasumi P. Blum |
| author_sort | M. Fuchs |
| collection | DOAJ |
| description | <p>The permeability of rock fractures is a crucial parameter for flow processes in the subsurface. In the last few decades, different methods were developed to investigate on permeability in fractures, such as flow-through experiments, numerical flow simulations, or empirical equations. In recent years, the topological method of persistent homology was also used to estimate the permeability of fracture networks and porous rocks but not for rough single fractures yet. Hence, we apply persistent homology analysis on a decimetre-scale, rough sandstone bedding joint. To investigate the influence of roughness, three different data sets are created to perform the analysis: (1) 200 <span class="inline-formula">µm</span>, (2) 100 <span class="inline-formula">µm</span>, and (3) 50 <span class="inline-formula">µm</span> resolutions. All estimated permeabilities were then compared to values derived by experimental air permeameter measurements and numerical flow simulation. The results reveal that persistent homology analysis is able to estimate the permeability of a single fracture, even if it tends to slightly overestimate permeabilities compared to conventional methods. Previous studies using porous media showed the same overestimation trend. Furthermore, the expenditure of time for persistent homology analysis, as well as air permeameter measurements and numerical flow simulation, was compared, which showed that persistent homology analysis can be also an acceptable alternative method.</p> |
| first_indexed | 2024-04-25T00:10:55Z |
| format | Article |
| id | doaj.art-1a07604436aa427dbb1569b5d27f6214 |
| institution | Directory Open Access Journal |
| issn | 1869-9510 1869-9529 |
| language | English |
| last_indexed | 2024-04-25T00:10:55Z |
| publishDate | 2024-03-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Solid Earth |
| spelling | doaj.art-1a07604436aa427dbb1569b5d27f62142024-03-13T11:06:22ZengCopernicus PublicationsSolid Earth1869-95101869-95292024-03-011535336510.5194/se-15-353-2024Investigating rough single-fracture permeabilities with persistent homologyM. Fuchs0A. Suzuki1T. Hasumi2P. Blum3Institute of Applied Geosciences (AGW), Karlsruhe Institute of Technology (KIT), Kaiserstraße 12, 76131 Karlsruhe, GermanyInstitute of Fluid Science, Tohoku University, 2-1-1 Katahira, Aoba-ku, Sendai, Miyagi, 980-8577, JapanInstitute of Fluid Science, Tohoku University, 2-1-1 Katahira, Aoba-ku, Sendai, Miyagi, 980-8577, JapanInstitute of Applied Geosciences (AGW), Karlsruhe Institute of Technology (KIT), Kaiserstraße 12, 76131 Karlsruhe, Germany<p>The permeability of rock fractures is a crucial parameter for flow processes in the subsurface. In the last few decades, different methods were developed to investigate on permeability in fractures, such as flow-through experiments, numerical flow simulations, or empirical equations. In recent years, the topological method of persistent homology was also used to estimate the permeability of fracture networks and porous rocks but not for rough single fractures yet. Hence, we apply persistent homology analysis on a decimetre-scale, rough sandstone bedding joint. To investigate the influence of roughness, three different data sets are created to perform the analysis: (1) 200 <span class="inline-formula">µm</span>, (2) 100 <span class="inline-formula">µm</span>, and (3) 50 <span class="inline-formula">µm</span> resolutions. All estimated permeabilities were then compared to values derived by experimental air permeameter measurements and numerical flow simulation. The results reveal that persistent homology analysis is able to estimate the permeability of a single fracture, even if it tends to slightly overestimate permeabilities compared to conventional methods. Previous studies using porous media showed the same overestimation trend. Furthermore, the expenditure of time for persistent homology analysis, as well as air permeameter measurements and numerical flow simulation, was compared, which showed that persistent homology analysis can be also an acceptable alternative method.</p>https://se.copernicus.org/articles/15/353/2024/se-15-353-2024.pdf |
| spellingShingle | M. Fuchs A. Suzuki T. Hasumi P. Blum Investigating rough single-fracture permeabilities with persistent homology Solid Earth |
| title | Investigating rough single-fracture permeabilities with persistent homology |
| title_full | Investigating rough single-fracture permeabilities with persistent homology |
| title_fullStr | Investigating rough single-fracture permeabilities with persistent homology |
| title_full_unstemmed | Investigating rough single-fracture permeabilities with persistent homology |
| title_short | Investigating rough single-fracture permeabilities with persistent homology |
| title_sort | investigating rough single fracture permeabilities with persistent homology |
| url | https://se.copernicus.org/articles/15/353/2024/se-15-353-2024.pdf |
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