Internal friction in the Earth' crust and transverse seismic waves
A transverse harmonic seismic wave, which propagates through the upper fractured layer of the Earth towards the Earth's surface, is considered. It is shown that the attenuation of a seismic wave in the Earth's upper crust is due to internal friction, i.e., friction between the sides of mic...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-01-01
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| Series: | AIMS Geosciences |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/geosci.2022006?viewType=HTML |
| _version_ | 1819062215815200768 |
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| author | Boris I. Birger |
| author_facet | Boris I. Birger |
| author_sort | Boris I. Birger |
| collection | DOAJ |
| description | A transverse harmonic seismic wave, which propagates through the upper fractured layer of the Earth towards the Earth's surface, is considered. It is shown that the attenuation of a seismic wave in the Earth's upper crust is due to internal friction, i.e., friction between the sides of micro-fractures. Such a damping mechanism does not work in the deeper layers of the Earth where high lithostatic pressure prevents the movement along fractures. The governing equation for a brittle fractured medium is nonlinear. In the study of wave propagation, an approximate method of harmonic linearization is used. It is shown that internal friction in the upper crust leads to the transformation of a transverse harmonic wave into a shock wave. |
| first_indexed | 2024-12-21T14:55:15Z |
| format | Article |
| id | doaj.art-c1c44339a844417fa0a462e265acb2d6 |
| institution | Directory Open Access Journal |
| issn | 2471-2132 |
| language | English |
| last_indexed | 2024-12-21T14:55:15Z |
| publishDate | 2022-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Geosciences |
| spelling | doaj.art-c1c44339a844417fa0a462e265acb2d62022-12-21T18:59:47ZengAIMS PressAIMS Geosciences2471-21322022-01-0181849710.3934/geosci.2022006Internal friction in the Earth' crust and transverse seismic wavesBoris I. Birger 0Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, Moscow 123242, RussiaA transverse harmonic seismic wave, which propagates through the upper fractured layer of the Earth towards the Earth's surface, is considered. It is shown that the attenuation of a seismic wave in the Earth's upper crust is due to internal friction, i.e., friction between the sides of micro-fractures. Such a damping mechanism does not work in the deeper layers of the Earth where high lithostatic pressure prevents the movement along fractures. The governing equation for a brittle fractured medium is nonlinear. In the study of wave propagation, an approximate method of harmonic linearization is used. It is shown that internal friction in the upper crust leads to the transformation of a transverse harmonic wave into a shock wave.https://www.aimspress.com/article/doi/10.3934/geosci.2022006?viewType=HTMLfracture and flowcreep and deformationfrictionnon-linear differential equationsseismic attenuationwave propagation |
| spellingShingle | Boris I. Birger Internal friction in the Earth' crust and transverse seismic waves AIMS Geosciences fracture and flow creep and deformation friction non-linear differential equations seismic attenuation wave propagation |
| title | Internal friction in the Earth' crust and transverse seismic waves |
| title_full | Internal friction in the Earth' crust and transverse seismic waves |
| title_fullStr | Internal friction in the Earth' crust and transverse seismic waves |
| title_full_unstemmed | Internal friction in the Earth' crust and transverse seismic waves |
| title_short | Internal friction in the Earth' crust and transverse seismic waves |
| title_sort | internal friction in the earth crust and transverse seismic waves |
| topic | fracture and flow creep and deformation friction non-linear differential equations seismic attenuation wave propagation |
| url | https://www.aimspress.com/article/doi/10.3934/geosci.2022006?viewType=HTML |
| work_keys_str_mv | AT borisibirger internalfrictionintheearthcrustandtransverseseismicwaves |