Effect of Intermediate Principal Stress on Rock Fractures

  • Chang, Chan-Dong (Department of Geology and Earth Environmental Science, Chungnam National University)
  • 발행 : 2004.01.31

초록

Laboratory experiments were conducted in order to find effects of the intermediate principal stress of ${\sigma}_{2}$ on rock fractures and faults. Polyaxial tests were carried out under the most generalized compressive stress conditions, in which different magnitudes of the least and intermediate principal stresses ${\sigma}_{3}$ and ${\sigma}_{2}$ were maintained constant, and the maximum stress ${\sigma}_{1}$, was increased to failure. Two crystalline rocks (Westerly granite and KTB amphibolite) exhibited similar mechanical behavior, much of which is neglected in conventional triaxial compression tests in which ${\sigma}_{2}$ = ${\sigma}_{3}$. Compressive rock failure took the form of a main shear fracture, or fault, steeply dipping in ${\sigma}_{3}$ direction with its strike aligned with ${\sigma}_{2}$ direction. Rock strength rose significantly with the magnitude of ${\sigma}_{2}$, suggesting that the commonly used Mohr-type failure criteria, which ignore the ${\sigma}_{2}$ effect, predict only the lower limit of rock strength for a given ${\sigma}_{3}$ level. The true triaxial failure criterion for each of the crystalline rocks can be expressed as the octahedral shear stress at failure as a function of the mean normal stress acting on the fault plane. It is found that the onset of dilatancy increases considerably for higher ${\sigma}_{2}$. Thus, ${\sigma}_{2}$ extends the elastic range for a given ${\sigma}_{3}$ and, hence, retards the onset of the failure process. SEM inspection of the micromechanics leading to specimen failure showed a multitude of stress-induced microcracks localized on both sides of the through-going fault. Microcracks gradually align themselves with the ${\sigma}_{1}$-${\sigma}_{2}$ plane as the magnitude of ${\sigma}_{2}$ is raised.

키워드

참고문헌

  1. Ashby, M.E and Sammis, CG, 1990, The damage mechanics of brittle solids in compression. Pure and Applied Geophysics, 133, 489-521 https://doi.org/10.1007/BF00878002
  2. Brace, W.F., 1964, Brittle fracture of rocks. In Judd, W.R., (ed.), State of Stress in the Earth's Crust, Elsevier, New York, 111-174
  3. Brace, W.F., Pauling, B.W., and Scholz, C.H., 1966, Dilatancy in the fracture of crystalline rocks. Journal of Geophysical Research, 71, 3939-3953 https://doi.org/10.1029/JZ071i016p03939
  4. Chang, C. and Haimson, B., 2000, True triaxial strength and deformability of the German Continental Deep Drilling Program (KTB) deep hole amphibolite. Journal of Geophysical Research, 105, 18999-19013 https://doi.org/10.1029/2000JB900184
  5. Drucker, D.C. and Prager, W., 1952, Soil mechanics and plastic analysis or limit design. Quarterly of Applied Mathematics, 10, 157-165
  6. Ewy, R.T., 1998, Wellbore stability predictions using a modified Lade criterion. In Proceedings of Eurock 98: SPE/ISRM Rock Mechanics in Petroleum Engineering, Society of Petroleum Engineers, 1, SPE/ISRM paper no. 47251, 247-254
  7. Freudenthal, A., 1951, The inelastic behavior and failure of concrete. In Proceedings of First U.S. National Congress of Applied Mechanics, American Society of Mechanical Engineers, New York, 641-646
  8. Hoek, E. and Brown, E.T., 1980, Empirical strength criterion for rock masses. Journal of Geotechnical Engineering. ASCE, 106, 1013-1035
  9. Jaeger, J.C and Cook, N.G.W., 1979, Fundamentals of Rock Mechanics, 3rd ed., Chapman and Hall, New York, 593 p
  10. Krech, W.W., Henderson, F.A., and Hjelmstad, K.E., 1974, A standard rock suite for rapid excavation research. Bureau of Mines Report of Investigations no. 7865, 29 p
  11. Lockner, D.A., Byerlee, J.D., Kuksenko, V., Ponomarev, A., and Sidorin, A., 1991, Quasi-static fault growth and shear fracture energy in granite, Nature, 350, 39-42 https://doi.org/10.1038/350039a0
  12. McGarr, A. and Gay, N.C., 1978, State of stress in the earth's crust. Annual Review of Earth and Planetary Sciences, 6, 405-436 https://doi.org/10.1146/annurev.ea.06.050178.002201
  13. Mogi, K., 1971, Fracture and flow of rocks under high triaxial compression, Journal of Geophysical Research, 76, 1255-1269 https://doi.org/10.1029/JB076i005p01255
  14. Nadai, A., 1950, Theory of Flow and Fracture of Solids, 1, McGraw-Hill, New York
  15. Quinn, A.W., 1954, Bedrock geology of Rhode Island. Transactions of the New York Academy of Sciences, 264-269
  16. Rauen, A. and Winter, H., 1995, Petrophysical properties. In KTB Report 95-2, Niedersachsisches Landesamt fur Bodenforschung, Hannover, Germany, D1-D45