Summary
The spatial extent of the dilatant zone and its time variations associated with preseismic fault creep are very sensitive to the dilatant constitutive law. For a power law of the form γ=δ·I n/22 (where γ is dilatant strain, δ is a constant andI 2 is the deviatoric stress invariant) the ratio of dilatant scale to depth of faulting is significantly less than unity forn=2 (‘microcrack dilatancy’), about unity forn=1 (‘joint dilatancy’), and much larger than unity forn=1/2 (‘sand pile dilatancy’). Consequently it is necessary to establish thein situ nature of the dilatant process in order to understand the onset, distribution and development of crustal dilatant regions.
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Aggarwal, N. P., Sykes, L. R., Simpson, D. W. andRichards, P. G. (1975),Spatial and temporal variations in t s /t p and in P wave residuals at Blue Mountain Lake, New York, J. Geophys. Res.80, 718–732.
Brace, W. F., Paulding, B. W., Jr, andScholz, C. (1966),Dilatancy in the fracture of Crystalline rocks, J. Geophys. Res.71, 3939–3956.
Brady, B. (1975),Theory of earthquakes I, Pure appl. Geophys., this issue.
Byerlee, J. D. (1970),The mechanics of stick-slip, Tectonophys.9, 475–586.
Cottrell, A. H.,Dislocations and Plastic Flow in Crystals (Clarendon Press, Oxford 1953).
Frank, F. C. (1965),On dilatancy in relation to seismic sources, Rev. of Geophys.3, 485–503.
Goodman, R. (1974),The mechanical properties of joints, inAdvances in Rock Mechanics, Vol. IA, pp. 127–140.
Head, A. D. (1953),Edge dislocations in inhomogeneous media, Proc. Phys. Soc., LondonB66, 793–801.
Mjachkin, V. I., Brace, W. F., Sobolev, G. A., andDietrich, J. H. (1975),Two models for earthquake forerunners, Pure appl. Geophys., this issue.
Nur, A. (1972),Dilatancy, pore fluids, and premonitory variations of t s /t p travel times, Bull. Seism. Soc. Am.62, 1217.
Nur, A., andSchultz, P.,Fluid flow and faulting, 2. Proc. Conf. on Tectonic Problems of the San Andreas Fault System (Stanford Univ. Press 1973).
Prager, W.,Introduction to Mechanics of Continua (Ginn & Co., Boston 1961).
Reynolds, O. (1885),On the dilatancy of media composed of rigid particles in contact, Phil. Mag. Ser. 5,20, 469–481.
Savage, J. C., andBurford, R. O. (1970),Accumulation of tectonic strain in California, Bull. Seism. Soc. Am.60, 1877–1896.
Scholz, C. H., Sykes, L. R., andAggarwal, Y. P. (1973),Earthquake prediction: a physical basis, Science181, 803–810.
Stuart, W. D. (1975),Diffusionless dilatancy, Geophys. Res. Lett., in press.
Stuart, W. D., andDietrich, J. D. (1974),Continuum theory of rock dilatancy, inAdvances in Rock Mechanics, Vol. IIA, p. 530.
Stuart, W. D., andJohnston, M. J. S. (1974),Tectonic implications of anomalous tilt before central California earthquakes, EOS,56, 1196.
Turcotte, D. L., andSpence, D. A. (1974),An analysis of strain accumulation on a strike slip fault, J. Geophys. Res.79, 4407–4412.
Wise, D. U. (1968),Regional and subcontinental sized fracture system detectable by topographic shadow techniques, inProc. Conf. on Research in Tectonics, Geol. Survey, Canada, GSC 68-52, pp. 175–199.
Whitcomb, J. H., Garmany, J. D., andAnderson, D. L. (1973),Earthquake prediction: variation of seismic velocities before the San Fernando earthquake, Science180, 632.
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Nur, A. A note on the constitutive law for dilatancy. PAGEOPH 113, 197–206 (1975). https://doi.org/10.1007/BF01592910
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DOI: https://doi.org/10.1007/BF01592910