Journal : Acta Geophysica
Article : Induced strains and defect continuum theory: Internal reorganization of load

Authors :
Yamasaki, K.
Department of Earth and Planetary Sciences, Faculty of Science, Kobe University, Nada, Kobe, Japan, yk2000@kobe-u.ac.jp,
Teisseyre, R.
Institute of Geophysics, Polish Academy of Sciences, Warszawa, Poland, rt@igf.edu.pl,
Abstract : Induced strains play an important role in mining regions and water dam areas. We consider a mechanism of reorganization of the applied stress load by some changes in rock-body defect distribution caused by human activity. A defect content increases with increasing stress load and related deformations; hence, a relationship could appear between seismic risk and deformation level. Recent progress in the Asymmetric Continuum Theory permits to consider some internal reorganization of the applied load due to internal defect content and distribution; in this paper we consider an increase of internal defect densities due to mining works and the appearance of reorganized internal stress distribution. A generalization of the Peach–Koehler forces acting on the defects makes it possible to define formation of induced strains; a character of resulting strains may essentially differ from the applied load. In the case of an axial load, this approach helps to understand formation of shear or rotational micro-fractures, usually recognized as fragmentation and slip motions.

Keywords : asymmetric continuum, induced strains, fragmentation and slip motions,
Publishing house : Instytut Geofizyki PAN
Publication date : 2012
Number : Vol. 60, no. 1
Page : 24 – 42

Bibliography
: Droste, Z., and R. Teisseyre (1959), The mechanism of the earthquakes in terms of the dislocation theory, Ann. Geofis. 12, 2, 179-188.
Eshelby, J.D., F.C Frank, and F.R.N. Nabarro (1951), The equilibrium of linear arrays of dislocations, Phil. Mag. 42, 351-364.
Gomberg, J., and D. Agnew (1996), The accuracy of seismic estimates of dynamic strains: An evaluation using strainmeter and seismometer data from Piñon Flat observatory, California, Bull. Seismol. Soc. Am. 86, 1A, 212-220.
Kossecka, E., and R. DeWitt (1977), Disclination kinematics, Arch. Mech. 29, 633-651.
Lee, W.H.K., M. Çelebi, M.I. Todorovska, and H. Igel (2009), Introduction to the special issue on rotational seismology and engineering applications, Bull. Seismol. Soc. Am. 99, 2B, 945-957.
Peach, M., and J.S. Koehler (1950), The forces exerted on dislocations and the stress fields produced by them, Phys. Rev. 80, 3, 436-439.
Rybicki, K. (1986), Dislocations and their geophysical applications. In: R. Teisseyre (ed.), Continuum Theories in Solid Earth Physics, Elsevier–PWN, Warszawa, 18-186.
Steketee, J.A. (1958), On Volterra’s dislocations in a semi-infinite elastic medium, Can. J. Phys. 36, 2, 192-205.
Teisseyre, K.P. (2007), Analysis of a group of seismic events using rotational components, Acta Geophys. 55, 4, 535-553.
Teisseyre, K.P. (2011), Spin and twist motions in the earthquake preparation processes: analysis of records, Acta Geophys. 59, 1, 5-28.
Teisseyre, R. (1985), Creep-flow and earthquake rebound: system of the internal stress evolution, Acta Geophys. Pol. 33, 1, 11-23.
Teisseyre, R. (2008), Asymmetric continuum: standard theory. In: R. Teisseyre, H. Nagahama, and E. Majewski (eds.), Physics of Asymmetric Continuum: Extreme and Fracture Processes, Springer-Verlag, Berlin, 95-109.
Teisseyre, R. (2009), Tutorial on new developments in the physics of rotational motions, Bull. Seismol. Soc. Am. 99, 2B, 1028-1039.
Teisseyre, R. (2011), Why rotation seismology: cofrontation between classic and asymmetric theories, Bull. Seismol. Soc. Am. 101, 4, 1683-1691.
Teisseyre, R., and M. Górski (2009a), Fundamental Deformations in Asymmetric Continuum, Bull. Seismol. Soc. Am. 99, 2B, 1132-1136.
Teisseyre, R., and M. Górski (2009b), Transport in fracture processes: fragmentation and slip, Acta Geophys. 57, 3, 583-599.
Teisseyre, R., and M. Górski (2011), Earthquake fragmentation and slip processes: spin and shear-twist wave mosaic, Acta Geophys. 59, 3, 453-469.
DOI :
Qute : Yamasaki, K. ,Teisseyre, R. ,Teisseyre, R. , Induced strains and defect continuum theory: Internal reorganization of load. Acta Geophysica Vol. 60, no. 1/2012
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