Stability analysis of slip of a one-body spring-slider model in the presence of thermal pressurization
This study is focused on stability of slip in a one-body spring-slider system, with stiffness k of the slider, in the presence of thermal pressurizationfor two end-member models of thermal pressurization, i.e., the adiabatic-undrained- deformation (AUD) model and slip-on-a-plane (SOP) model. Analyti...
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| Format: | Article |
| Language: | English |
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Istituto Nazionale di Geofisica e Vulcanologia (INGV)
2013-08-01
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| Series: | Annals of Geophysics |
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| Online Access: | http://www.annalsofgeophysics.eu/index.php/annals/article/view/5548 |
| _version_ | 1819207757633421312 |
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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 stability of slip in a one-body spring-slider system, with stiffness k of the slider, in the presence of thermal pressurizationfor two end-member models of thermal pressurization, i.e., the adiabatic-undrained- deformation (AUD) model and slip-on-a-plane (SOP) model. Analytic studies based on the functions of frictional stress, t<sub>f</sub>, versus slip, d, of the two models show that k<sub>cr</sub>=|dt<sub>f</sub>/dd| at d=0 is the critical stiffness of the system. k<sub>cr</sub> is a finite positive value for the AUD model and infinity for the SOP model. Slip is stable when k>k<sub>cr</sub> and unstable when k<k<sub>cr</sub>. Analytic stability conditions of slip from the equations of motions of a one-body spring-slider model with the t<sub>f</sub>–d function of the ADU model are also those from |dt<sub>f</sub>/dd| at d=0. Under ADU thermal pressurization, modeled final slip and maximum velocity for k=5 to 31 MPa/m, with k<sub>cr</sub>=30 MPa/m, both decrease with increasing k. The motions become very weak when k≥k<sub>cr</sub>, thus being unable to result in unstable motions. The phase portraits of v versus d for k<30 MPa/m show the existence of a non-zero unstable fixed point. |
| first_indexed | 2024-12-23T05:28:34Z |
| format | Article |
| id | doaj.art-e8b12bc76a604452b1478c89078dd9d2 |
| institution | Directory Open Access Journal |
| issn | 1593-5213 2037-416X |
| language | English |
| last_indexed | 2024-12-23T05:28:34Z |
| publishDate | 2013-08-01 |
| publisher | Istituto Nazionale di Geofisica e Vulcanologia (INGV) |
| record_format | Article |
| series | Annals of Geophysics |
| spelling | doaj.art-e8b12bc76a604452b1478c89078dd9d22022-12-21T17:58:33ZengIstituto Nazionale di Geofisica e Vulcanologia (INGV)Annals of Geophysics1593-52132037-416X2013-08-0156310.4401/ag-55485861Stability analysis of slip of a one-body spring-slider model in the presence of thermal pressurizationJeen-Hwa Wang0Institute of Earth Sciences, Academia Sinica, Taipei,This study is focused on stability of slip in a one-body spring-slider system, with stiffness k of the slider, in the presence of thermal pressurizationfor two end-member models of thermal pressurization, i.e., the adiabatic-undrained- deformation (AUD) model and slip-on-a-plane (SOP) model. Analytic studies based on the functions of frictional stress, t<sub>f</sub>, versus slip, d, of the two models show that k<sub>cr</sub>=|dt<sub>f</sub>/dd| at d=0 is the critical stiffness of the system. k<sub>cr</sub> is a finite positive value for the AUD model and infinity for the SOP model. Slip is stable when k>k<sub>cr</sub> and unstable when k<k<sub>cr</sub>. Analytic stability conditions of slip from the equations of motions of a one-body spring-slider model with the t<sub>f</sub>–d function of the ADU model are also those from |dt<sub>f</sub>/dd| at d=0. Under ADU thermal pressurization, modeled final slip and maximum velocity for k=5 to 31 MPa/m, with k<sub>cr</sub>=30 MPa/m, both decrease with increasing k. The motions become very weak when k≥k<sub>cr</sub>, thus being unable to result in unstable motions. The phase portraits of v versus d for k<30 MPa/m show the existence of a non-zero unstable fixed point.http://www.annalsofgeophysics.eu/index.php/annals/article/view/5548Slip stabilityOne-body spring-slider systemFrictionThermal pressurizationAUD and SOP models |
| spellingShingle | Jeen-Hwa Wang Stability analysis of slip of a one-body spring-slider model in the presence of thermal pressurization Annals of Geophysics Slip stability One-body spring-slider system Friction Thermal pressurization AUD and SOP models |
| title | Stability analysis of slip of a one-body spring-slider model in the presence of thermal pressurization |
| title_full | Stability analysis of slip of a one-body spring-slider model in the presence of thermal pressurization |
| title_fullStr | Stability analysis of slip of a one-body spring-slider model in the presence of thermal pressurization |
| title_full_unstemmed | Stability analysis of slip of a one-body spring-slider model in the presence of thermal pressurization |
| title_short | Stability analysis of slip of a one-body spring-slider model in the presence of thermal pressurization |
| title_sort | stability analysis of slip of a one body spring slider model in the presence of thermal pressurization |
| topic | Slip stability One-body spring-slider system Friction Thermal pressurization AUD and SOP models |
| url | http://www.annalsofgeophysics.eu/index.php/annals/article/view/5548 |
| work_keys_str_mv | AT jeenhwawang stabilityanalysisofslipofaonebodyspringslidermodelinthepresenceofthermalpressurization |