Influence of porosity on tidal deformation in planetary bodies
| Název práce v češtině: | Vliv porozity na slapovou deformaci planet a měsíců |
|---|---|
| Název v anglickém jazyce: | Influence of porosity on tidal deformation in planetary bodies |
| Klíčová slova: | slapová deformace|poro(visko)elasticita|počítačové modelování |
| Klíčová slova anglicky: | tidal deformation|poro(visco)elasticity|numerical modelling |
| Akademický rok vypsání: | 2023/2024 |
| Typ práce: | diplomová práce |
| Jazyk práce: | angličtina |
| Ústav: | Katedra geofyziky (32-KG) |
| Vedoucí / školitel: | doc. RNDr. Marie Běhounková, Ph.D. |
| Řešitel: | skrytý - zadáno a potvrzeno stud. odd. |
| Datum přihlášení: | 13.05.2024 |
| Datum zadání: | 13.05.2024 |
| Datum potvrzení stud. oddělením: | 13.05.2024 |
| Konzultanti: | doc. RNDr. Ondřej Souček, Ph.D. |
| Zásady pro vypracování |
| Exploring tidal deformation and its measurements presents a unique opportunity to probe the interiors of planetary bodies. Furthermore, the associated tidal dissipation can play a significant role in shaping planets' internal thermal evolution. Consequently, understanding the impact of planetary structure and rheological characteristics is crucial for accurately interpreting measurements and assessing long-term thermal evolution.
Although current research primarily focuses on the effects of advanced empirical rheological descriptions, the role of porosity in tidal deformation remains poorly understood (Liao et al., 2020; Rovira-Navarro et al., 2022; Kamata, 2023). Quantifying the influence of porosity on deformation becomes particularly significant for planetary bodies subjected to intense tidal heating, where substantial melting can occur, leading to the formation of porous regions. Similarly, the interiors of small moons, characterized by low gravity, may exhibit unconsolidated and porous structures (Roberts, 2015; Choblet et al., 2017). This thesis aims to explore the behaviour of a poroelastic or poroviscoelastic medium and its impact on tidal response and dissipation. Within this thesis, the equations governing the deformation of such a medium will be derived (Cheng, 2016) and the corresponding weak form of these equations will be formulated. The numerical implementation will be conducted using the Firedrake or Fenics package (Ham et al., 2023; Alnaes et al., 2015). Specifically, the numerical investigations will concentrate on the porous core of Enceladus, a small moon of Saturn. The results will be compared with published results (Liao et al., 2020; Rovira-Navarro et al., 2022; Kamata et al., 2023). |
| Seznam odborné literatury |
| Alnæs, M.S., Blechta, J., Hake, J. et al. (2015). Supporting computer code for 'The FEniCS Project Version 1.5' (release notes). [Software].
Cheng, A. H.-D. (2016). Poroelasticity. Springer; 1st ed. 2016 edition, ISBN-10: 3319252003. https://doi.org/10.1007/978-3-319-25202-5 Choblet, G., Tobie, G., Sotin, C., Běhounková, M., Čadek, O., Postberg, F. and O. Souček (2017). Powering prolonged hydrothermal activity inside Enceladus, Nature Astronomy 1, 841-847, https://doi.org/10.1038/s41550-017-0289-8. Ham, D. A., Kelly, P. H. J., Mitchell, L., Cotter, C. J., Kirby, R. C., Sagiyama, K., Bouziani, N., Vorderwuelbecke, S., Gregory, T. J., Betteridge, J., Shapero, D. R., Nixon-Hill, R. W., Ward, C. J., Farrell, P. E., Brubeck, P. D., Marsden, I., Gibson, T. H., Homolya, M., Sun, T., McRae, A. T. T., Luporini, F., Gregory, A., Lange, M., Funke, S. W., Rathgeber, F., & Bercea, G.-T., Markall, G. R. (2023). Firedrake User Manual (First edition). Imperial College London, University of Oxford, Baylor University and University of Washington, https://doi.org/10.25561/104839. Kamata, S. (2023). Poroviscoelastic gravitational dynamics. Journal of Geophysical Research: Planets, 128, e2022JE007700. https://doi.org/10.1029/2022JE007700 Liao, Y., Nimmo, F., & Neufeld, J. A. (2020). Heat production and tidally driven fluid flow in the permeable core of Enceladus. Journal of Geophysical Research: Planets, 125, e2019JE006209. https://doi.org/10.1029/2019JE006209 Roberts, J.H. (2015). The fluffy core of Enceladus, Icarus 258, pp. 54-66. https://doi.org/10.1016/j.icarus.2015.05.033 Rovira‐Navarro, M., Katz, R.F., Liao, Y. van der Wal, W., Nimmo, F. (2022), The tides of Enceladus' porous core, Journal of Geophysical Research: Planets, 127(5), e2021JE007117. https://doi.org/10.1029/2021JE007117 |