The birth of a volcano: A nonlinear convective model for rock melting at the asthenosphere—Lithosphere boundary
The investigation of the physical processes determining the melting of the lithospheric rocks is of crucial importance for understanding the volcanic dynamics and its related consequences. Rock melting begins when a sufficiently high temperature is experienced by the rock solidus. The heat transfer...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-06-01
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| Series: | Applications in Engineering Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666496824000050 |
| _version_ | 1827222919253590016 |
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| author | Carmelo Filippo Munafò Cataldo Godano Francesco Oliveri |
| author_facet | Carmelo Filippo Munafò Cataldo Godano Francesco Oliveri |
| author_sort | Carmelo Filippo Munafò |
| collection | DOAJ |
| description | The investigation of the physical processes determining the melting of the lithospheric rocks is of crucial importance for understanding the volcanic dynamics and its related consequences. Rock melting begins when a sufficiently high temperature is experienced by the rock solidus. The heat transfer from the asthenosphere to the lithosphere can be assumed as the main mechanism accountable for the partial melting of rocks, and initiating magma generation. The heat transfer to the lithosphere is considered to be governed mainly by the convective motion inside the asthenosphere. In order to mathematically describe this process, a generalization of a nonlinear convective 1D model, possibly representing a useful though simplified model for the birth of a volcano, and already analyzed from an analytical viewpoint (Godano et al., 2022), is investigated; here, we solve numerically some physically meaningful initial and boundary value problems, and discuss the results. |
| first_indexed | 2024-03-07T16:53:18Z |
| format | Article |
| id | doaj.art-afd915bf3849436c816adca2e9736d8b |
| institution | Directory Open Access Journal |
| issn | 2666-4968 |
| language | English |
| last_indexed | 2025-03-21T16:46:08Z |
| publishDate | 2024-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Applications in Engineering Science |
| spelling | doaj.art-afd915bf3849436c816adca2e9736d8b2024-06-16T05:47:15ZengElsevierApplications in Engineering Science2666-49682024-06-0118100179The birth of a volcano: A nonlinear convective model for rock melting at the asthenosphere—Lithosphere boundaryCarmelo Filippo Munafò0Cataldo Godano1Francesco Oliveri2Dipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e, Scienze della Terra, Università di Messina, Viale F. Stagno d’Alcontres 31, 98166 Messina, ItalyDipartimento di Matematica e Fisica, Università della Campania “Luigi Vanvitelli”, Caserta, Italy; INGV - Osservatorio Vesuviano, Napoli, ItalyDipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e, Scienze della Terra, Università di Messina, Viale F. Stagno d’Alcontres 31, 98166 Messina, Italy; Corresponding author.The investigation of the physical processes determining the melting of the lithospheric rocks is of crucial importance for understanding the volcanic dynamics and its related consequences. Rock melting begins when a sufficiently high temperature is experienced by the rock solidus. The heat transfer from the asthenosphere to the lithosphere can be assumed as the main mechanism accountable for the partial melting of rocks, and initiating magma generation. The heat transfer to the lithosphere is considered to be governed mainly by the convective motion inside the asthenosphere. In order to mathematically describe this process, a generalization of a nonlinear convective 1D model, possibly representing a useful though simplified model for the birth of a volcano, and already analyzed from an analytical viewpoint (Godano et al., 2022), is investigated; here, we solve numerically some physically meaningful initial and boundary value problems, and discuss the results.http://www.sciencedirect.com/science/article/pii/S2666496824000050Rock melting at the asthenosphereLithosphere boundaryNonlinear convection |
| spellingShingle | Carmelo Filippo Munafò Cataldo Godano Francesco Oliveri The birth of a volcano: A nonlinear convective model for rock melting at the asthenosphere—Lithosphere boundary Applications in Engineering Science Rock melting at the asthenosphere Lithosphere boundary Nonlinear convection |
| title | The birth of a volcano: A nonlinear convective model for rock melting at the asthenosphere—Lithosphere boundary |
| title_full | The birth of a volcano: A nonlinear convective model for rock melting at the asthenosphere—Lithosphere boundary |
| title_fullStr | The birth of a volcano: A nonlinear convective model for rock melting at the asthenosphere—Lithosphere boundary |
| title_full_unstemmed | The birth of a volcano: A nonlinear convective model for rock melting at the asthenosphere—Lithosphere boundary |
| title_short | The birth of a volcano: A nonlinear convective model for rock melting at the asthenosphere—Lithosphere boundary |
| title_sort | birth of a volcano a nonlinear convective model for rock melting at the asthenosphere lithosphere boundary |
| topic | Rock melting at the asthenosphere Lithosphere boundary Nonlinear convection |
| url | http://www.sciencedirect.com/science/article/pii/S2666496824000050 |
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