pure and applied geophysics

, Volume 142, Issue 3–4, pp 467–489 | Cite as

Some comparisons between mining-induced and laboratory earthquakes

  • A. McGarr
Earthquake Source Mechanics and Fracture Mechanics: Theory and Observation

Abstract

Although laboratory stick-slip friction experiments have long been regarded as analogs to natural crustal earthquakes, the potential use of laboratory results for understanding the earthquake source mechanism has not been fully exploited because of essential difficulties in relating seismographic data to measurements made in the controlled laboratory environment. Mining-induced earthquakes, however, provide a means of calibrating the seismic data in terms of laboratory results because, in contrast to natural earthquakes, the causative forces as well as the hypocentral conditions are known. A comparison of stick-slip friction events in a large granite sample with mining-induced earthquakes in South Africa and Canada indicates both similarities and differences between the two phenomena. The physics of unstable fault slip appears to be largely the same for both types of events. For example, both laboratory and mining-induced earthquakes have very low seismic efficiencies\(\eta = \tau _a /\bar \tau\) where τa is the apparent stress and\(\bar \tau\) is the average stress acting on the fault plane to cause slip; nearly all of the energy released by faulting is consumed in overcoming friction. In more detail, the mining-induced earthquakes differ from the laboratory events in the behavior of η as a function of seismic momentM0. Whereas for the laboratory events η≃0.06 independent ofM0, η depends quite strongly onM0 for each set of induced earthquakes, with 0.06 serving, apparently, as an upper bound. It seems most likely that this observed scaling difference is due to variations in slip distribution over the fault plane. In the laboratory, a stick-slip event entails homogeneous slip over a fault of fixed area. For each set of induced earthquakes, the fault area appears to be approximately fixed but the slip is inhomogeneous due presumably to barriers (zones of no slip) distributed over the fault plane; at constant\(\bar \tau\), larger events correspond to largerτa as a consequence of fewer barriers to slip. If the inequality τa/\(\bar \tau\) ≤ 0.06 has general validity, then measurements of τaEa/M0, where μ is the modulus of rigidity andEa is the seismically-radiated energy, can be used to infer the absolute level of deviatoric stress at the hypocenter.

Key words

Stick-slip friction mining-induced earthquakes seismic efficiency 

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References

  1. Abercrombie, R., andLeary, P. (1993),Source Parameters of Small Earthquakes Recorded at 2.5 km Depth, Cajon Pass, Southern California: Implications for Earthquake Scaling, Geophys. Res. Lett.20, 1511–1514.Google Scholar
  2. Adams, J., Wetmiller, R. J., Hasegawa, H. S., andDrysdale, J. (1991),The First Surface Faulting from a Historical Intraplate Earthquake in North America, Nature352, 617–619.Google Scholar
  3. Aki, K. (1966),Generation and Propagation of G Waves from the Niigata Earthquake of June 16, 1964, 2, Estimation of Earthquake Moment, Released Energy, and Stress-strain Drop from the G Wave Spectrum, Bull. Earthquake Res Inst. Tokyo Univ.44, 73–88.Google Scholar
  4. Aki, K., andRichards, P. G.,Quantitative Seismology: Theory and Methods (Freeman, Cooper, San Francisco, CA 1980).Google Scholar
  5. Boatwright, J. (1980),A Spectral Theory for Circular Seismic Sources; Simple Estimates of Source Dimension, Dynamic Stress Drop, and Radiated Seismic Energy, Bull. Seismol. Soc. Am.70, 1–27.Google Scholar
  6. Brace, W. F., andByerlee, J. D. (1966),Stick Slip as a Mechanism for Earthquakes, Science153, 990–992.Google Scholar
  7. Brummer, R. K., andRokke, A. J.,Case studies on large rockbursts in South African gold mines. InRockbursts and Seismicity in Mines (ed. Fairhurst, C.) (Balkema, Rotterdam 1990), pp. 323–329.Google Scholar
  8. Brune, J. N. (1970),Tectonic Stress and the Spectra of Seismic Shear Waves from Earthquakes, J. Geophys. Res.75, 4997–5009. (Correction (1971), J. Geophys. Res.76, 5002.)Google Scholar
  9. Brune, J. N.,The physics of earthquake strong motion. InSeismic Risk and Engineering Decisions (ed. Lomnitz, C., and Rosenbluth, E.) (Elsevier, New York 1976) pp. 141–177.Google Scholar
  10. Churcher, J. M.,The effect of propagation path on the measurement of seismic parameters. InRockbursts and Seismicity in Mines (ed. Fairhurst, C.) (Balkema, Rotterdam 1990) pp. 205–209.Google Scholar
  11. Cook, N. G. W.,The seismic location of rockbursts. InProc Fifth Rock Mechanics Symposium (Pergamon Press, Oxford 1963) pp. 493–516.Google Scholar
  12. Cook, N. G. W., Hoek, E., Pretorius, J. P. G., Ortlepp, W. D., andSalamon, M. D. G. (1965),Rock Mechanics Applied to the Study of Rockbursts, J. S. Afr. Inst. Min. Metall.,66, 435–528.Google Scholar
  13. Das, S., andAki, K. (1977),Fault Plane with Barriers: A Versatile Earthquake Model, J. Geophys. Res.82, 5658–5670.Google Scholar
  14. Das, S. andKostrov, B. V. (1983),Breaking of a Single Asperity: Rupture Process and Seismic Radiation, J. Geophys. Res.88, 4277–4288.Google Scholar
  15. Dieterich, J. H. (1979),Modelling of Rock Friction, 1. Experimental Results and Constitutive Equations, J. Geophys. Res.84, 2161–2168.Google Scholar
  16. Dieterich, J. H. (1981),Potential for Geophysical Experiments in Large-scale Tests, Geophys. Res. Lett.8, 653–656.Google Scholar
  17. Dieterich, J. H. (1992),Earthquake Nucleation on Faults with Rate-and State-dependent Strength, Tectonophysics211, 115–134.Google Scholar
  18. Fletcher, J. B., Boatwright, J., Haar, L., Hanks, T., andMcGarr, A. (1984),Source Parameters for Aftershocks of the Oroville, California, Earthquake, Bull. Seismol. Soc. Am.74, 1101–1123.Google Scholar
  19. Gay, N. C., andOrtlepp, W. D. (1979),Anatomy of a Mining-induced Fault Zone, Geol. Soc. Am. Bull.90, 47–58.Google Scholar
  20. Gibowicz, S. J., Young, R. P., Talebi, S., andRawlence, D. J. (1991),Source Parameters of Microseismic Events at the Underground Research Laboratory in Manitoba, Canada: Scaling Relations for the Events with Moment Magnitude Smaller than — 2, Bull. Seismol. Soc. Am.,81, 1157–1182.Google Scholar
  21. Hanks, T. C. (1977),Earthquake Stress Drops, Ambient Tectonic Stress and Stresses that Drive Plate Motions, Pure. Appl. Geophys.115, 441–458.Google Scholar
  22. Hanks, T. C. (1992),Small Earthquakes, Tectonic Forces, Science256, 1430–1432.Google Scholar
  23. Hanks, T. C., andWyss, M. (1972),The Use of Body Wave Spectra in the Determination of Seismic Source Parameters, Bull. Seismol. Soc. Am.62, 561–589.Google Scholar
  24. Hanks, T. C., andKanamori, H. (1979),A Moment Magnitude Scale, J. Geophys. Res.,84, 2348–2350.Google Scholar
  25. Heaton, T. H. (1990),Evidence for, and Implications of Self-healing Pulse of Slip in Earthquake Rupture, Phys. Earth Planet. Sci.16, 1–20.Google Scholar
  26. Houston, H. (1990),A Comparison of Broadband Source Spectra, Seismic Energies, and Stress Drops of the 1989 Loma Prieta and 1988 Armenian Earthquakes, Geophys. Res. Lett.17, 1413–1416.Google Scholar
  27. Kanamori, H., Hong-Kie, T., Dreger, D., andHauksson, E. (1992),Initial Investigation of the Landers, California, Earthquake of 28 June 1992 Using Terrascope, Geophys. Res. Lett.19, 2267–2270.Google Scholar
  28. Keilis-Borok, V. I. (1959),On Estimation of the Displacement in an Earthquake Source and of Source Dimension, Ann. Geofis.12, 205–214.Google Scholar
  29. Lachenbruch, A. H., andMcGarr, A. (1990),Stress and heat flow. U.S. Geological Survey Professional Paper1515, The San Andreas Fault System (ed. Wallace, R.) pp. 261–277.Google Scholar
  30. Lockner, D. A., andOkubo, P. G. (1983),Measurements of Frictional Heating in Granite, J. Geophys. Res.88, 4313–4320.Google Scholar
  31. Madariaga, R. (1976),Dynamics of an Expanding Circular Fault, Bull. Seismol. Soc. Am.66, 639–666.Google Scholar
  32. Martin, C. D., andYoung, R. P.,The effect of excavation-induced seismicity on the strength of Lac du Bonnet granite. InRockbursts and Seismicity in Mines (ed. Young, R. P.) (Balkema, Rotterdam 1993) pp. 367–371.Google Scholar
  33. McGarr, A. (1976),Seismic Moments and Volume Changes, J. Geophys. Res.81, 1487–1494.Google Scholar
  34. McGarr, A. (1984),Scaling of Ground Motion Parameters, State of Stress, and Focal Depth, J. Geophys. Res.89, 6969–6979.Google Scholar
  35. McGarr, A. (1991),Observations Constraining Near-source Ground Motion Estimated from Locally Recorded Seismograms, J. Geophys. Res.96, 16,495–16,508.Google Scholar
  36. McGarr, A. (1992a),An Implosive Component in the Seismic Moment Tensor of a Mining-induced Tremor, Geophys. Res. Lett.19, 1579–1582.Google Scholar
  37. McGarr, A. (1992b),Moment Tensors of Ten Witwatersrand Mine Tremors, Pure Appl. Geophys.139, 781–800.Google Scholar
  38. McGarr, A.,Factors influencing the strong ground motion from mining-induced tremors. InRockbursts and Seismicity in Mines (ed. Young, R. P.) (Balkema, Rotterdam 1993) pp. 3–12.Google Scholar
  39. McGarr, A., Spottiswoode, S. M., andGay, N. C. (1975),Relationship of Mine Tremors to Induced Stresses and to Rock Properties in the Focal Region, Bull. Seismol. Soc. Am.65, 981–993.Google Scholar
  40. McGarr, A., andGay, N. C. (1978),State of Stress in the Earth's Crust, Ann. Rev. Earth Planet. Sci.6, 405–436.Google Scholar
  41. McGarr, A., Spottiswoode, S. M., Gay, N. C., andOrtlepp, W. D. (1979),Observations Relevant to Seismic Driving Stress, Stress Drop, and Efficiency, J. Geophys. Res.84, 2251–2261.Google Scholar
  42. McGarr, A., Bicknell, J., Sembera, E., andGreen, R. W. E. (1989),Analysis of Exceptionally Large Tremors in Two Gold Mining Districts of South Africa, Pure Appl. Geophys.129, 295–307.Google Scholar
  43. Ortlepp, W. D. (1978),The—Mechanism of a Rockburst, Proc. of the 19th U.S. Rock Mechanics Symposium, University of Nevada, Reno, 476–483.Google Scholar
  44. Savage, J. C., andWood, M. D. (1971),The Relationship Between Apparent Stress and Stress Drop. Bull. Seismol. Soc. Am.61, 1381–1388.Google Scholar
  45. Scholz, C. H.,The Mechanics of Earthquakes and Faulting (Cambridge Univ. Press, Cambridge, U.K. 1990).Google Scholar
  46. Sieh, K. E. et al. (1993),Near-field Investigations of the Landers Earthquake Sequence, April to July 1992, Science260, 171–176.Google Scholar
  47. Spottiswoode, S. M. (1980),Source Mechanism Studies on Witwatersrand Seismic Events, Ph.D. Thesis, University of Witwatersrand, Johannesburg, South Africa.Google Scholar
  48. Spottiswoode, S. M., andMcGarr, A. (1975),Source Parameters of Tremors in a Deep-level Gold Mine, Bull. Seismol. Soc. Am.65, 93–112.Google Scholar
  49. Talebi, S., andYoung, R. P.,Failure mechanism of crack propagations induced by shaft excavation at the Underground Research Laboratory. InRock at Greath Depth 3 (eds. Maury, V., and Fourmaintraux, D.) (Balkema, Rotterdam 1990) pp. 1455–1461.Google Scholar
  50. Urbancic, T. I., andYoung, R. P. (1993),Space-time Variations in Source Parameters of Mininginduced Seismic Events with M<0, Bull. Seismol. Soc. Am.83, 378–397.Google Scholar
  51. Vassiliou, M. S. andKanamori, H. (1982),The Energy Release in Earthquakes, Bull. Seismol. Soc. Am.72, 371–387.Google Scholar
  52. Vernik, L., andZoback, M. D.,Effects of rock elastic and strength properties in estimation of the state of stress at depth. InRock at Greath Depth 2 (eds. Maury, V., and Fourmaintraux, D.) (Balkema, Rotterdam 1990) pp. 1033–1040.Google Scholar
  53. Walsh, J. B. (1971),Stiffness in Faulting and Friction Experiments J. Geophys. Res.,76, 8597–8598.Google Scholar
  54. Wyss, M., andBrune, J. N. (1968),Seismic Moment, Stress, and Source Dimensions for Earthquakes in the California-Nevada Region, J. Geophys. Res.73, 4681–4694.Google Scholar
  55. Young, R. P., Talebi, S., Hutchins, D. A., andUrbancic, T. I. (1989),Analysis of Mining-induced Microseismic Events at Strathcona Mine, Sudbury, Canada, Pure Appl. Geophys.129, 455–474.Google Scholar

Copyright information

© Birkhäuser Verlag 1994

Authors and Affiliations

  • A. McGarr
    • 1
  1. 1.U.S. Geological SurveyMenlo ParkUSA

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