Stiffness evolution of granular layers and the origin of repetitive, slow, stick-slip frictional sliding

Granular Matter - Tập 17 - Trang 447-457 - 2015
John Leeman1, Marco Maria Scuderi1, Chris Marone1, Demian Saffer1
1The Pennsylvania State University, University Park, USA

Tóm tắt

We demonstrate the frictional behaviors of steady state sliding, stick-slip, and repetitive, slow stick-slip sliding through a carefully-designed suite of laboratory experiments focused on exploring the role of loading system stiffness in controlling the frictional response to shear. We performed tests on sheared layers of baking flour, with three configurations of loading blocks made of steel and cast acrylic to achieve different stiffnesses. Slide-hold-slide and velocity step tests were conducted and analyzed in a rate-and-state friction framework. With compliant loading blocks, the material exhibits unstable stick-slip behavior with slow-slip events of duration up to 20 s. Slow-slip has been difficult to achieve in the lab and has only been observed for a narrow variety of boundary conditions and materials. Our results suggest that this behavior is strongly controlled by the stiffness of the system, the strain history of the sample, and shear fabric evolution. We describe a new suite of automated tools that greatly improve friction analysis and provide insight to the underlying mechanisms of slow stick-slip. We demonstrate that layer stiffness evolves with shear strain and modifies the mechanical behavior of stick-slip sliding. Our work suggests that slow earthquakes in tectonic fault zones may be linked to shear fabric development and associated changes in local stiffness, likely in combination with variations in frictional constitutive properties and effective stress.

Tài liệu tham khảo

Anthony, J.L., Marone, C.: Influence of particle characteristics on granular friction. J. Geophys. Res. 110(B8), B08,409 (2005) Baumberger, T., Berthoud, P.: Physical analysis of the state- and rate-dependent friction law. II. Dynamic friction. Phys. Rev. B 60(6), 3928–3939 (1999). doi:10.1103/physrevb.60.3928 Bayart, E., Rubin, A., Marone, C.: Evolution of fault friction following large velocity jumps. In: AGU Fall Meeting Abstracts, vol. 1, p. 0180 (2006) Beeler, N., Tullis, T., Weeks, J.: The roles of time and displacement in the evolution effect in rock friction. Geophys. Res. Lett. 21(18), 1987–1990 (1994) Beroza, G.C., Ide, S.: Slow earthquakes and nonvolcanic tremor. Ann. Rev. Earth Planet. Sci. 39(1), 271–296 (2011) Brace, W.F., Byerlee, J.D.: Stick-slip as a mechanism for earthquakes. Science 153(3739), 990–992 (1966). doi:10.1126/science.153.3739.990 Brace, W.F., Byerlee, J.D.: Mechanical instabilities observed in laboratory experiments on rocks. Eos Trans. AGU 50(5), 400 (1969). doi:10.1029/eo050i005p00400-05 Buishand, T.A.: Some methods for testing the homogeneity of rainfall records. J. Hydrol. 58(1), 11–27 (1982) Dieterich, J.H.: Time-dependent friction in rocks. J. Geophys. Res. 77(20), 3690–3697 (1972) Dieterich, J.H.: Time-dependent friction and the mechanics of stick-slip. Pure Appl. Geophys. 116(4–5), 790–806 (1978) Frye, K.M., Marone, C.: Effect of humidity on granular friction at room temperature. J. Geophys. Res. 107(B11), 2309 (2002) Gu, J.C., Rice, J.R., Ruina, A.L., Tse, S.T.: Slip motion and stability of a single degree of freedom elastic system with rate and state dependent friction. J. Mech. Phys. Solids 32(3), 167–196 (1984) Heslot, F., Baumberger, T., Perrin, B., Caroli, B., Caroli, C.: Creep, stick-slip, and dry-friction dynamics: experiments and a heuristic model. Phys. Rev. E 49(6), 4973 (1994) Ide, S., Shelly, D.R., Beroza, G.C.: Mechanism of deep low frequency earthquakes: further evidence that deep non-volcanic tremor is generated by shear slip on the plate interface. Geophys. Res. Lett. 34(3), L03,308 (2007) Ikari, M.J., Marone, C., Saffer, D.M.: On the relation between fault strength and frictional stability. Geology 39(1), 83–86 (2011). doi:10.1130/g31416.1 Ikari, M.J., Marone, C., Saffer, D.M., Kopf, A.J.: Slip weakening as a mechanism for slow earthquakes. Nat. Geosci. 6(6), 468–472 (2013) Jaeger, J.C.: Friction of rocks and stability of rock slopes. Géotechnique 21(2), 97–134 (1971). doi:10.1680/geot.1971.21.2.97 Johnson, P.A., Ferdowsi, B., Kaproth, B.M., Scuderi, M., Griffa, M., Carmeliet, J., Guyer, R.A., Le Bas, P.Y., Trugman, D.T., Marone, C.: Acoustic emission and microslip precursors to stick-slip failure in sheared granular material. Geophys. Res. Lett. 40(21), 5627–5631 (2013). doi:10.1002/2013gl057848 Kaproth, B.M., Marone, C.: Slow earthquakes, preseismic velocity changes, and the origin of slow frictional stick-slip. Science 341(6151), 1229–1232 (2013) Karner, S.L., Marone, C.: Effects of loading rate and normal stress on stress drop and stick-slip recurrence interval. Geophys. Monogr. Ser. 120, 187–198 (2000) Karner, S.L., Marone, C., Evans, B.: Laboratory study of fault healing and lithification in simulated fault gouge under hydrothermal conditions. Tectonophysics 277(1), 41–55 (1997) Knuth, M., Marone, C.: Friction of sheared granular layers: role of particle dimensionality, surface roughness, and material properties. Geochem. Geophys. Geosyst. 8(3), Q03012 (2007). doi:10.1029/2006GC001327 Leeman, J.R., Scuderi, M.M., Marone, C., Saffer, D.M., Shinbrot, T.: On the origin and evolution of electrical signals during frictional stick slip in sheared granular material. J. Geophys. Res.: Solid Earth (2014). doi:10.1002/2013jb010793 Logan, J., Dengoz, C., Higgs, N., Wang, Z.: Fabrics of experimental fault zones: their development and relationship to mechanical behavior. Fault Mech. Transp. Prop. Rocks 51, 33 (1992) Mair, K., Abe, S.: Breaking up: comminution mechanisms in sheared simulated fault gouge. Pure Appl. Geophys. 168(12), 2277–2288 (2011) Mair, K., Frye, K.M., Marone, C.: Influence of grain characteristics on the friction of granular shear zones. J. Geophys. Res.: Solid Earth (1978–2012) 107(B10), ECV 4-1–ECV 4-9 (2002) Marone, C.: Laboratory-derived friction laws and their application to seismic faulting. Ann. Rev. Earth Planet. Sci. 26(1), 643–696 (1998). doi:10.1146/annurev.earth.26.1.643 Marone, C., Kilgore, B.: Scaling of the critical slip distance for seismic faulting with shear strain in fault zones. Nature 362(6421), 618–621 (1993). doi:10.1038/362618a0 Marone, C., Saffer, D.M.: The mechanics of frictional healing and slip instability during the seismic cycle. In: Gerald Schubert (ed.) Treatise on Geophysics, 2nd edn, pp. 111–138. Elsevier, Oxford (2015) Obara, K.: Nonvolcanic deep tremor associated with subduction in southwest Japan. Science 296(5573), 1679–1681 (2002) Page, E.: Continuous inspection schemes. Biometrika 41(1/2), 100–115 (1954) Peng, Z., Gomberg, J.: An integrated perspective of the continuum between earthquakes and slow–slip phenomena. Nat. Geosci. 3(9), 599–607 (2010) Raimondo, M., Tajvidi, N.: A peaks over threshold model for change-point detection by wavelets. Stat. Sin. 14(2), 395–412 (2004) Rice, J.R.: Constitutive relations for fault slip and earthquake instabilities. Pure Appl. Geophys. 121(3), 443–475 (1983) Rice, J.R.: Gu, Jc: Earthquake aftereffects and triggered seismic phenomena. PAGEOPH 121(2), 187–219 (1983). doi:10.1007/bf02590135 Richardson, E., Marone, C.: Effects of normal stress vibrations on frictional healing. J. Geophys. Res. 104(B12), 28,859 (1999). doi:10.1029/1999jb900320 Scott, D.R., Marone, C.J., Sammis, C.G.: The apparent friction of granular fault gouge in sheared layers. J. Geophys. Res.: Solid Earth (1978–2012) 99(B4), 7231–7246 (1994)