Anomalous Fall-Off in Velocity Power Spectra Caused by Sliding with Asymmetric Friction

Rui X. Wong; Elena Pasternak; Arcady V. Dyskin

doi:10.1007/978-3-031-22213-9_19

Anomalous Fall-Off in Velocity Power Spectra Caused by Sliding with Asymmetric Friction

Rui X. Wong, Elena Pasternak, Arcady V. Dyskin

Research output: Chapter in Book/Conference paper › Conference paper › peer-review

Abstract

Friction resisting sliding over contacted surfaces of faults or shear fractures is usually considered independent of the sliding direction. However, when the rock near sliding surface is anisotropic with a symmetry axis inclined to the sliding direction, normal constraint induces asymmetry, whereby friction forces resisting sliding in opposite directions are different. In this case the applied oscillatory force produces sliding towards the direction with the smallest friction such that macroscopic movement can occur even when the driving force oscillates around zero. Furthermore, friction asymmetry leads to emerging of a critical value of friction in the hard direction: for friction forces lower than the critical value the exponent of the fall-off of the velocity power spectra is near the conventional −1, while when the friction force reaches the critical value the exponent drops to −2. This phenomenon can be used for reconstructing the structure of rocks surrounding sliding fractures/faults.

Original language	English
Title of host publication	Multiscale Processes of Instability, Deformation and Fracturing in Geomaterials - Proceedings of 12th International Workshop on Bifurcation and Degradation in Geomechanics
Editors	Elena Pasternak, Arcady Dyskin
Publisher	Springer Science + Business Media
Pages	182-189
Number of pages	8
ISBN (Print)	9783031222122
DOIs	https://doi.org/10.1007/978-3-031-22213-9_19
Publication status	Published - 2023
Event	12th International Workshop on Bifurcation and Degradation in Geomechanics - Perth, Australia Duration: 28 Nov 2022 → 1 Dec 2022

Publication series

Name	Springer Series in Geomechanics and Geoengineering
ISSN (Print)	1866-8755
ISSN (Electronic)	1866-8763

Conference

Conference	12th International Workshop on Bifurcation and Degradation in Geomechanics
Abbreviated title	IWBDG 2022
Country/Territory	Australia
City	Perth
Period	28/11/22 → 1/12/22

Access to Document

10.1007/978-3-031-22213-9_19

Cite this

Wong, R. X., Pasternak, E., & Dyskin, A. V. (2023). Anomalous Fall-Off in Velocity Power Spectra Caused by Sliding with Asymmetric Friction. In E. Pasternak, & A. Dyskin (Eds.), Multiscale Processes of Instability, Deformation and Fracturing in Geomaterials - Proceedings of 12th International Workshop on Bifurcation and Degradation in Geomechanics (pp. 182-189). (Springer Series in Geomechanics and Geoengineering). Springer Science + Business Media. https://doi.org/10.1007/978-3-031-22213-9_19

Wong, Rui X. ; Pasternak, Elena ; Dyskin, Arcady V. / Anomalous Fall-Off in Velocity Power Spectra Caused by Sliding with Asymmetric Friction. Multiscale Processes of Instability, Deformation and Fracturing in Geomaterials - Proceedings of 12th International Workshop on Bifurcation and Degradation in Geomechanics. editor / Elena Pasternak ; Arcady Dyskin. Springer Science + Business Media, 2023. pp. 182-189 (Springer Series in Geomechanics and Geoengineering).

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title = "Anomalous Fall-Off in Velocity Power Spectra Caused by Sliding with Asymmetric Friction",

abstract = "Friction resisting sliding over contacted surfaces of faults or shear fractures is usually considered independent of the sliding direction. However, when the rock near sliding surface is anisotropic with a symmetry axis inclined to the sliding direction, normal constraint induces asymmetry, whereby friction forces resisting sliding in opposite directions are different. In this case the applied oscillatory force produces sliding towards the direction with the smallest friction such that macroscopic movement can occur even when the driving force oscillates around zero. Furthermore, friction asymmetry leads to emerging of a critical value of friction in the hard direction: for friction forces lower than the critical value the exponent of the fall-off of the velocity power spectra is near the conventional −1, while when the friction force reaches the critical value the exponent drops to −2. This phenomenon can be used for reconstructing the structure of rocks surrounding sliding fractures/faults.",

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language = "English",

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booktitle = "Multiscale Processes of Instability, Deformation and Fracturing in Geomaterials - Proceedings of 12th International Workshop on Bifurcation and Degradation in Geomechanics",

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Wong, RX, Pasternak, E & Dyskin, AV 2023, Anomalous Fall-Off in Velocity Power Spectra Caused by Sliding with Asymmetric Friction. in E Pasternak & A Dyskin (eds), Multiscale Processes of Instability, Deformation and Fracturing in Geomaterials - Proceedings of 12th International Workshop on Bifurcation and Degradation in Geomechanics. Springer Series in Geomechanics and Geoengineering, Springer Science + Business Media, pp. 182-189, 12th International Workshop on Bifurcation and Degradation in Geomechanics, Perth, Western Australia, Australia, 28/11/22. https://doi.org/10.1007/978-3-031-22213-9_19

Anomalous Fall-Off in Velocity Power Spectra Caused by Sliding with Asymmetric Friction. / Wong, Rui X.; Pasternak, Elena ; Dyskin, Arcady V.
Multiscale Processes of Instability, Deformation and Fracturing in Geomaterials - Proceedings of 12th International Workshop on Bifurcation and Degradation in Geomechanics. ed. / Elena Pasternak; Arcady Dyskin. Springer Science + Business Media, 2023. p. 182-189 (Springer Series in Geomechanics and Geoengineering).

Research output: Chapter in Book/Conference paper › Conference paper › peer-review

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T1 - Anomalous Fall-Off in Velocity Power Spectra Caused by Sliding with Asymmetric Friction

AU - Wong, Rui X.

AU - Pasternak, Elena

AU - Dyskin, Arcady V.

PY - 2023

Y1 - 2023

N2 - Friction resisting sliding over contacted surfaces of faults or shear fractures is usually considered independent of the sliding direction. However, when the rock near sliding surface is anisotropic with a symmetry axis inclined to the sliding direction, normal constraint induces asymmetry, whereby friction forces resisting sliding in opposite directions are different. In this case the applied oscillatory force produces sliding towards the direction with the smallest friction such that macroscopic movement can occur even when the driving force oscillates around zero. Furthermore, friction asymmetry leads to emerging of a critical value of friction in the hard direction: for friction forces lower than the critical value the exponent of the fall-off of the velocity power spectra is near the conventional −1, while when the friction force reaches the critical value the exponent drops to −2. This phenomenon can be used for reconstructing the structure of rocks surrounding sliding fractures/faults.

AB - Friction resisting sliding over contacted surfaces of faults or shear fractures is usually considered independent of the sliding direction. However, when the rock near sliding surface is anisotropic with a symmetry axis inclined to the sliding direction, normal constraint induces asymmetry, whereby friction forces resisting sliding in opposite directions are different. In this case the applied oscillatory force produces sliding towards the direction with the smallest friction such that macroscopic movement can occur even when the driving force oscillates around zero. Furthermore, friction asymmetry leads to emerging of a critical value of friction in the hard direction: for friction forces lower than the critical value the exponent of the fall-off of the velocity power spectra is near the conventional −1, while when the friction force reaches the critical value the exponent drops to −2. This phenomenon can be used for reconstructing the structure of rocks surrounding sliding fractures/faults.

KW - Anisotropic friction

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KW - Shear fracture sliding

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T3 - Springer Series in Geomechanics and Geoengineering

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BT - Multiscale Processes of Instability, Deformation and Fracturing in Geomaterials - Proceedings of 12th International Workshop on Bifurcation and Degradation in Geomechanics

A2 - Pasternak, Elena

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PB - Springer Science + Business Media

T2 - 12th International Workshop on Bifurcation and Degradation in Geomechanics

Y2 - 28 November 2022 through 1 December 2022

ER -

Wong RX, Pasternak E , Dyskin AV. Anomalous Fall-Off in Velocity Power Spectra Caused by Sliding with Asymmetric Friction. In Pasternak E, Dyskin A, editors, Multiscale Processes of Instability, Deformation and Fracturing in Geomaterials - Proceedings of 12th International Workshop on Bifurcation and Degradation in Geomechanics. Springer Science + Business Media. 2023. p. 182-189. (Springer Series in Geomechanics and Geoengineering). doi: 10.1007/978-3-031-22213-9_19

Anomalous Fall-Off in Velocity Power Spectra Caused by Sliding with Asymmetric Friction

Abstract

Publication series

Conference

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Constricted hydraulic fracture opening

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Anomalous Fall-Off in Velocity Power Spectra Caused by Sliding with Asymmetric Friction

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Projects

Constricted hydraulic fracture opening

Cite this