Slip of a one-body dynamical spring-slider model in the presence of slip-weakening friction and viscosity
This study is focused on analytic study at small displacements and numerical simulations of slip of a one-body dynamical slider-slider model in the presence of slip-weakening friction and viscosity. Analytic results with numerical computations show that the displacement of the slider is controlled b...
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| Format: | Article |
| Language: | English |
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Istituto Nazionale di Geofisica e Vulcanologia (INGV)
2016-11-01
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| Series: | Annals of Geophysics |
| Subjects: | |
| Online Access: | http://www.annalsofgeophysics.eu/index.php/annals/article/view/7063 |
| _version_ | 1818137147913273344 |
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| author | Jeen-Hwa Wang |
| author_facet | Jeen-Hwa Wang |
| author_sort | Jeen-Hwa Wang |
| collection | DOAJ |
| description | This study is focused on analytic study at small displacements and numerical simulations of slip of a one-body dynamical slider-slider model in the presence of slip-weakening friction and viscosity. Analytic results with numerical computations show that the displacement of the slider is controlled by the decreasing rate, [gamma], of friction force with slip and viscosity, [eta], of fault-zone material. The natural period of the system with slip-weakening friction and viscosity is longer than that of the system without the two factors. There is a solution regime for [eta] and [gamma] to make the slider slip steadily without strong attenuation. The viscous effect is stronger than the frictional effect. Meanwhile, a change of [eta] results in a larger effect on the slip of the slider than a change of [gamma]. Numerical simulations are made for a one-body dynamical slider-slider model in the presence of three slip-weakening friction laws, i.e., the thermal-pressurization (TP) friction law, the softening-hardening (SH) friction law, and a simple slip-weakening (SW) friction law, and viscosity. Results show that slip-weakening friction and viscosity remarkably affect slip of the slider. The TP and SW friction laws cause very similar results. The results caused by the SH friction law are quite different from those by the other two. For the cases in study, the fixed points are not an attractor. |
| first_indexed | 2024-12-11T09:51:41Z |
| format | Article |
| id | doaj.art-aebc9b5e5bcd45fca1c28494b7c6aa7a |
| institution | Directory Open Access Journal |
| issn | 1593-5213 2037-416X |
| language | English |
| last_indexed | 2024-12-11T09:51:41Z |
| publishDate | 2016-11-01 |
| publisher | Istituto Nazionale di Geofisica e Vulcanologia (INGV) |
| record_format | Article |
| series | Annals of Geophysics |
| spelling | doaj.art-aebc9b5e5bcd45fca1c28494b7c6aa7a2022-12-22T01:12:23ZengIstituto Nazionale di Geofisica e Vulcanologia (INGV)Annals of Geophysics1593-52132037-416X2016-11-0159510.4401/ag-70636125Slip of a one-body dynamical spring-slider model in the presence of slip-weakening friction and viscosityJeen-Hwa Wang0Institute of Earth Sciences, Academia Sinica, Taipei, TaiwanThis study is focused on analytic study at small displacements and numerical simulations of slip of a one-body dynamical slider-slider model in the presence of slip-weakening friction and viscosity. Analytic results with numerical computations show that the displacement of the slider is controlled by the decreasing rate, [gamma], of friction force with slip and viscosity, [eta], of fault-zone material. The natural period of the system with slip-weakening friction and viscosity is longer than that of the system without the two factors. There is a solution regime for [eta] and [gamma] to make the slider slip steadily without strong attenuation. The viscous effect is stronger than the frictional effect. Meanwhile, a change of [eta] results in a larger effect on the slip of the slider than a change of [gamma]. Numerical simulations are made for a one-body dynamical slider-slider model in the presence of three slip-weakening friction laws, i.e., the thermal-pressurization (TP) friction law, the softening-hardening (SH) friction law, and a simple slip-weakening (SW) friction law, and viscosity. Results show that slip-weakening friction and viscosity remarkably affect slip of the slider. The TP and SW friction laws cause very similar results. The results caused by the SH friction law are quite different from those by the other two. For the cases in study, the fixed points are not an attractor.http://www.annalsofgeophysics.eu/index.php/annals/article/view/7063One-body spring-slider modelDisplacementSlip-weakening frictionViscosity |
| spellingShingle | Jeen-Hwa Wang Slip of a one-body dynamical spring-slider model in the presence of slip-weakening friction and viscosity Annals of Geophysics One-body spring-slider model Displacement Slip-weakening friction Viscosity |
| title | Slip of a one-body dynamical spring-slider model in the presence of slip-weakening friction and viscosity |
| title_full | Slip of a one-body dynamical spring-slider model in the presence of slip-weakening friction and viscosity |
| title_fullStr | Slip of a one-body dynamical spring-slider model in the presence of slip-weakening friction and viscosity |
| title_full_unstemmed | Slip of a one-body dynamical spring-slider model in the presence of slip-weakening friction and viscosity |
| title_short | Slip of a one-body dynamical spring-slider model in the presence of slip-weakening friction and viscosity |
| title_sort | slip of a one body dynamical spring slider model in the presence of slip weakening friction and viscosity |
| topic | One-body spring-slider model Displacement Slip-weakening friction Viscosity |
| url | http://www.annalsofgeophysics.eu/index.php/annals/article/view/7063 |
| work_keys_str_mv | AT jeenhwawang slipofaonebodydynamicalspringslidermodelinthepresenceofslipweakeningfrictionandviscosity |