A simplified model for hydraulic fracturing and its role in seismicity
In this study we propose a simple mathematical model to evaluate the seismic energy (magnitude) generated by the injection of a pressurized liquid in a geothermal area. The aim is to distinguish between induced and triggered seismicity. We compute the induced seismicity by a simple equation that all...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-09-01
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| Series: | Applications in Engineering Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666496821000285 |
| _version_ | 1819037419929862144 |
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| author | Antonio Giovinetto Giordano Montegrossi Lorenzo Fusi Angiolo Farina Fabio Rosso |
| author_facet | Antonio Giovinetto Giordano Montegrossi Lorenzo Fusi Angiolo Farina Fabio Rosso |
| author_sort | Antonio Giovinetto |
| collection | DOAJ |
| description | In this study we propose a simple mathematical model to evaluate the seismic energy (magnitude) generated by the injection of a pressurized liquid in a geothermal area. The aim is to distinguish between induced and triggered seismicity. We compute the induced seismicity by a simple equation that allows to evaluate the energy contribution of the human activity. By using the classical linear elastic fracture theory, we obtain a formula that correlates the strain energy to the injection pressure, to the material parameters of the rock under consideration and to the characteristic seismic length. We compare the results of the model with a series of recorded data available in the literature, showing that our model is capable of defining the maximum magnitude of seismic events caused by human activity. Consequently, the model puts in evidence the “triggered” events with larger magnitude that are produced by the elastic energy accumulated in the rocks at depth by other natural means (e.g. tectonic). |
| first_indexed | 2024-12-21T08:21:07Z |
| format | Article |
| id | doaj.art-177a4d3e041b4aa79372461e5abe15fc |
| institution | Directory Open Access Journal |
| issn | 2666-4968 |
| language | English |
| last_indexed | 2024-12-21T08:21:07Z |
| publishDate | 2021-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Applications in Engineering Science |
| spelling | doaj.art-177a4d3e041b4aa79372461e5abe15fc2022-12-21T19:10:25ZengElsevierApplications in Engineering Science2666-49682021-09-017100062A simplified model for hydraulic fracturing and its role in seismicityAntonio Giovinetto0Giordano Montegrossi1Lorenzo Fusi2Angiolo Farina3Fabio Rosso4Dipartimento di Matematica e Informatica “Ulisse Dini”, Universitá degli Studi di Firenze, Viale Morgagni 67/a, Firenze 50134, ItalyCNR-Institute of Geosciences and Earth Resources, Via G. La Pira, 4, Florence 50121, Italy; INSTM - Consorzio Interuniversitario Nazionale per la Scienza e Tecnologia dei Materiali, Via G. Giusti 9, Firenze, ItalyCorresponding author.; Dipartimento di Matematica e Informatica “Ulisse Dini”, Universitá degli Studi di Firenze, Viale Morgagni 67/a, Firenze 50134, Italy; INSTM - Consorzio Interuniversitario Nazionale per la Scienza e Tecnologia dei Materiali, Via G. Giusti 9, Firenze, ItalyDipartimento di Matematica e Informatica “Ulisse Dini”, Universitá degli Studi di Firenze, Viale Morgagni 67/a, Firenze 50134, ItalyDipartimento di Matematica e Informatica “Ulisse Dini”, Universitá degli Studi di Firenze, Viale Morgagni 67/a, Firenze 50134, ItalyIn this study we propose a simple mathematical model to evaluate the seismic energy (magnitude) generated by the injection of a pressurized liquid in a geothermal area. The aim is to distinguish between induced and triggered seismicity. We compute the induced seismicity by a simple equation that allows to evaluate the energy contribution of the human activity. By using the classical linear elastic fracture theory, we obtain a formula that correlates the strain energy to the injection pressure, to the material parameters of the rock under consideration and to the characteristic seismic length. We compare the results of the model with a series of recorded data available in the literature, showing that our model is capable of defining the maximum magnitude of seismic events caused by human activity. Consequently, the model puts in evidence the “triggered” events with larger magnitude that are produced by the elastic energy accumulated in the rocks at depth by other natural means (e.g. tectonic).http://www.sciencedirect.com/science/article/pii/S2666496821000285SeismicityFracture theoryWestergaard solution |
| spellingShingle | Antonio Giovinetto Giordano Montegrossi Lorenzo Fusi Angiolo Farina Fabio Rosso A simplified model for hydraulic fracturing and its role in seismicity Applications in Engineering Science Seismicity Fracture theory Westergaard solution |
| title | A simplified model for hydraulic fracturing and its role in seismicity |
| title_full | A simplified model for hydraulic fracturing and its role in seismicity |
| title_fullStr | A simplified model for hydraulic fracturing and its role in seismicity |
| title_full_unstemmed | A simplified model for hydraulic fracturing and its role in seismicity |
| title_short | A simplified model for hydraulic fracturing and its role in seismicity |
| title_sort | simplified model for hydraulic fracturing and its role in seismicity |
| topic | Seismicity Fracture theory Westergaard solution |
| url | http://www.sciencedirect.com/science/article/pii/S2666496821000285 |
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