Summary
Volume changes in geologic materials have been measured with strain gauges, cantilever displacement gauges, or through observation of either pore or total volume. When porosity is less than 0.05, compaction is small or absent; apart from elastic strains in the minerals, dilatancy predominates, beginning at 50 to 75 percent of the fracture stress difference. When initial porosity exceeds about 0.05, compaction and dilatancy may overlap. The onset of dilatancy has not been identified, but most of the dilatancy occurs within about 10 percent of the fracture stress difference. In low porosity rocks, dilatancy increases initial porosity by a factor of 2 or more; in porous rocks or granular aggregates the increase is only 20 to 50 percent. However, the actual pore volume increase is larger in rocks of high initial porosity. Hence, earthquake precursors which depend on the magnitude of dilatancy should be more pronounced in porous rocks or in fault gouge. In contrast, precursors which are based on fractional changes in some porosity-related property may be more pronounced in rocks of low initial porosity. Future work is particularly needed on constitutive relations suitable for major classes of rocks, on the effects of stress cycling in porous rocks, on the effects of high temperature and pore fluids on dilatancy and compaction, and on the degree of localization of strain prior to fracture.
Similar content being viewed by others
References
Jaeger, J. C. andCook, N. G. W.,Fundamentals of Rock Mechanics, Methuen, London 1969.
Edmond, J. M. andPaterson, M. S. (1972),Volume changes during the deformation of rocks at high pressures, Int. J. Rock Mech. Min. Sci.9, 161.
Paterson, M. S.,Experimental deformation of minerals and rocks under pressure, inMechanical Behaviour of Materials Under Pressure, ed. H. Ll. D. Pugh, Elsevier Publ. Co. Ltd., London, 1970, 191.
Brace, W. F. andOrange, A. S. (1968),Electrical resistivity changes in saturated rocks during fracture and frictional sliding, J. Geophys. Res.73, 1433.
Brace, W. F. andJones, A. H. (1971),Comparison of uniaxial deformation in shock and static loading of three rocks, J. Geophys. Res.76, 4913.
Schock, R. N. andHeard, H. C. (1970),Static mechanical properties and shock loading response of granite, J. Geophys. Res.79, 1662.
Cook, N. G. W. (1970),An experiment proving that dilatancy is a pervasive volumetric property of brittle rock loaded to failure, Rock Mechanics2, 181.
Spetzler, H., Scholz, C. H. andLu, Chi-Ping J. (1974),Strain and creep measurements on rocks by holographic interferometry, Pure and Appl. Geophys.112, 571.
Spetzler, J., Soga, N., Mizutani, H. andMartin, R. J., III,Strain fields associated with fracture under high pressure, viewed with holographic interferometry, inHigh-Pressure Research: Applications to Geophysics, ed. M. H. Manghnani and S. Akimoto, Academic Press, New York, 1977.
Brace, W. F., Paulding, B. W. Jr. andScholz, C. (1966),Dilatancy in the fracture of crystalline rocks, J. Geophys. Res.71, 3939.
Shipman, F. H., Johnson, J. N. andGreen, S. J.,Mechanical properties of two highly porous geologic materials, Terra Tek, Inc., Final Report, Contr. No. DAAG46-72-C-0169, April 1974.
Schock, R. N., Abey, A. E., Bonner, B. P., Duba, A. andHeard, H. C.,Mechanical properties of Nugget sandstone, Lawrence Livermore Lab. Rept., UCRL-51447, 28 Aug., 1973a, 17 pp.
Brace, W. F. andRiley, D. K. (1972),Static uniaxial deformation of 15 rocks to 30 kb, Int. J. Rock Mech. Min. Sci.9, 271
Schatz, J. F. (1976),Models of inelastic volume deformation for porous geologic materials, ASME Appl. Mech. Div.16, 141.
Schock, R. N., Heard, H. C. andStephens, D. R. (1973b),Stress-strain behavior of a granodiorite and two graywackes on compression to 20 kilobars, J. Geophys. Res.78, 5922.
Heard, H. C. (1977),Comparison of the flow properties of rocks at crustal conditions, Philos. Trans. Roy. Soc. London, in press.
Goetze, C. (1977),The mechanisms of creep in olovine, Philos. Trans. Roy. Soc. London, in press.
Paterson, M. S. andWeaver, C. W. (1970),Deformation of polycrystalline MgO under pressure, J. Am. Ceram. Soc.53, 463.
Heard, H. C., Duba, A., Abey, A. E. andSchock, R. N.,Mechanical properties of Blair dolomite, Lawrence Livermore Lab. Rept. UCRL-51465, 19 Oct., 1973.
Hadley, K. (1975a),Dilatancy in rock at elevated temperatures (Abstr.), Trans. Amer. Geophys. Un.56, 1060.
Rao, M. V. M. S. andRamana, Y. V. (1974),Dilatant behavior of ultramafic rocks during fracture, Int. J. Rock Mech. Min. Sci.11, 193.
Ismail, I. A. H. andMurrell, S. F. (1976),Dilatancy and the strength of rocks containing pore water under undrained conditions, Geophys. J. R. astr. Soc.44, 107.
Tapponnier, P. andBrace, W. F. (1976),Development of stress-induced microcracks in Westerly granite, Int. J. Rock Mech. Min. Sci.13, 103.
Nelson, A. C. andWang, Chi-Yuen (1977),Nondestructive observation of internal cracks in stressed rocks Int. J. Rock Mech. Min. Sci.13, 103.
Hadley, K. (1976b),Comparison of calculated and observed crack densities and seismic velocities in Westerly granite, J. Geophys. Res.81, 3484.
Hadley, K. (1976a),The effect of cyclic stress on dilatancy: Another look, J. Geophys. Res.81, 2471
Haimson, B. C.,Mechanical behavior of rock under cyclic loading, inAdvanced Rock Mechanics IIA, National Science Foundation, Washington, 1974, 373.
Scholz, C. H. andKranz, R. (1974),Notes on dilatancy recovery, J. Geophys. Res.79, 2132.
Zoback, M. D. andByerlee, J. D. (1975),The effect of cyclic differential stress on dilatancy in Westerly granite under uniaxial and triaxial conditions, J. Geophys. Res.80, 1526.
Lockner, D. andByerlee, J. D. (1977),Acoustic emission and creep in rock at high confining pressure and differential stress, Bull. Seismol. Soc. Amer.67, 247.
Scholz, C. H. (1968),Experimental study of the fracturing process in brittle rock, J. Geophys. Res.73, 1447.
Liu, Hsi-Ping andLivanos, A. C. R. (1976),Dilatancy and precursory bulging along incipient fracture zones in uniaxially compressed Westerly granite, J. Geophys. Res.81, 3495.
Hadley, K. (1975b),Azimuthal variation of dilatancy, J. Geophys. Res.80, 4845.
Costantino, M. S. andSchock, R. N.,A constitutive relation for compressive loading in Nugget sandstone, Lawrence Livermore Lab. Rept. UCRL-52036, 17 March, 1976, 17 pp.
Mencl, V. (1965),Dilatancy of rocks, Rock Mech. Engrg. Geol.3, 58.
Goodman, R. E.,The deformability of joints, Amer. Soc. for Testing Matls. STP 477, 1970, 174.
Goodman, R. E. andOhnishi, Y. (1973),Undrained shear testing of jointed rock Rock Mechanics5, 129.
Pratt, H. R., Black, A. D. andBrace, W. F. (1974),Friction and deformation of jointed quartz diorite, Proc., 3rd Intl. Cong. Rock Mech., Denver, Vol. II, Part A, 306.
Sundaram, P. N., Goodman, R. E. andWang, Chi-Yuen (1976),Precursory and coseismic water pressure variations in stick-slip experiments, Geology4, 108.
Logan, J.,Laboratory and field investigations of fault gouge, Unpubl. Progr. Rept., Texas A and M Univ., 15 April. 1977, 95 pp.
Zoback, M. D. andByerlee, J. D. (1976),A note on the deformational and fluid flow behavior of crushed granite, Int. J. Rock Mech. Min. Sci.13, 291.
Jones, A. andButters, S., Unpubl. studies, Terra Tek, Inc. 1977.
Kranz, R. L. andScholz, C. H. (1977),Critical dilatant volume of rocks at the onset of tertiary creep, J. Geophys. Res.82, 4893.
Cherry, J. T., Schock, R. N. andSweet, J. (1975),A theoretical model of the dilatant behavior of a brittle rock, Pure and Appl. Geophys.113, 183.
Cleary, M. andRudnicki, J. W.,The initiation and propagation of dilatant rupture zones in geological materials, inThe Effect of Voids on Material Deformation, Vol. 16, ed. S. C. Cowen, ASME, New York 1976, 13.
Schock, R. N. (1976),A constitutive relation describing dilatant behavior in climax stock grandiorite, Int. J. Rock Mech. Min. Sci.13, 221.
Stuart, W. D. (1974),Diffusionless dilatancy model for earthquake precursors, Geophys. Res. Letters1, 261.
Stuart, W. D. andDietrich, J. D.,Continuum theory of dilatancy inAdvances in Rock Mechanics, Natl. Acad. Sci., Washington 1974, 530.
Freudenthal, A. M.,Constitutive equations of rock with shear dilatancy, Unpubl. Tech. Rept. (AROD), George Wash. Univ., Washington, April 1975.
Holcomb, D. J.,A quantitative model of dilatancy in dry rock and its application to Westerly granite, Preprint 3/1/77, CIRES, Univ. of Colo., Boulder, 1977, 37 pp.
Johnson, J. N. andGreen, S. J. (1976),The mechanical response of porous media subject to static loads, inThe Effect of Voids on Material Deformation, ASME Appl. Mech. Div.16, 93.
Brace, W. F. (1977), unpublished study.
Crouch, S. L. (1970),Experimental determination of volumetric strains in failed rock, Int. J. Rock Mech. Min. Sci.7, 589.
Ko, Hon-Yim andScott, R. F. (1967),Deformation of sand in shear, J. Soil Mech. and Foundtns. Div., ASCE 93, Proc. Paper 5470, 283.
Wilkening, W. W. Dilatational deformation and fracture in Barre granite, ScD thesis, M.I.T., 1976, 114 pp.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Brace, W.F. Volume changes during fracture and frictional sliding: A review. PAGEOPH 116, 603–614 (1978). https://doi.org/10.1007/BF00876527
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00876527