Resonant acoustic spectroscopy of microfracture in a Westerly granite sample

Journal of Geophysical Research: Solid Earth

Volumn 108, Issue 10, 2003, Pages

  Lebedev, A V ^a   Bredikhin, V V ^a   Soustova, I A ^a   Sutin, A M ^b   Kusunose, K ^c  

^a INSTITUTE OF APPLIED PHYSICS   (Russian Federation)

^b STEVENS INSTITUTE OF TECHNOLOGY   (United States)

^c NATIONAL INSTITUTE OF ADVANCED INDUSTRIAL SCIENCE AND TECHNOLOGY AIST   (Japan)

Author keywords

Acoustic spectroscopy; Anisotropy of rocks; Microcracking

Indexed keywords

ACOUSTIC METHOD; FRACTURE MECHANICS; GRANITE; MICROCRACK; ROCK MECHANICS; SPECTROSCOPY;

EID: 1442340197     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: None     Document Type: Article

References (61)

1. Anderson, D. L., B. Minster, and D. Cole, The effect of oriented cracks on seismic velocities, J. Geophys. Res., 79, 4011-4016, 1974.
2. Birch, F., Velocity and attenuation from resonant vibrations of spheres of rock, glass, and steel, J. Geophys. Res., 80, 756-764, 1975.
3. Birch, F., The velocity of compressional waves in rocks to 10 kbars, part I, J. Geophys. Res., 65, 1083-1102, 1960.
4. Birch, F., The velocity of compressional waves in rocks to 10 kbars, part 2, J. Geophys. Res., 66, 2199-2224, 1961.
5. Brace, W. F., B. W. J. Paulding, and C. H. Scholz, Dilatancy in the fracture of crystalline rocks, J. Geophys. Res., 71, 3939-3953, 1966.
6. Brace, W. F., E. Silver, K. Hadley, and C. Goetze, Cracks and pores: A closer look, Science, 178, 162-164, 1972.
7. Cannelli, G., R. Cantelli, F. Cordero, and F. Trequattrini, Dynamics of hydrogen, oxygen, and dislocations in Yttrium by acoustic spectroscopy, Phys. Rev. B, 55, 14,865-14,871, 1997.
8. Chiroiu, V., P. P. Delsanto, L. Munteanu, C. Rugina, and M. Scalerandi, Determination of the second- and third-order elastic constants in Al from the natural frequencies, J. Acoust. Soc. Am., 102, 193-198, 1997.
9. Chu, Y. C., and S. I. Rokhlin, Stability of determination of composite moduli from velocity data in planes of symmetry for weak and strong anisotropy, J. Acoust. Soc. Am., 95, 213-225, 1994.
10. Clark, S. P., Jr., (Ed.), Handbook of Physical Constants, Mem. Geol. Soc. America, 97, 197 pp., 1966.
11. Demarest, H., Cube-resonance method to determine the elastic constants of solids, J. Acoust. Soc. Am., 49, 768-775, 1971.
12. Foster, K., S. L. Fairburn, R. G. Leisure, S. Kim, D. Balzar, G. Alers, and H. Ledbetter, Acoustic study of texture in polycrystalline brass, J. Acoust. Soc. Am., 105, 2663-2668, 1999.
13. Gist, G. A., Fluid effects on velocity and attenuation in sandstones, J. Acoust. Soc. Am., 96, 1158-1173, 1994.
14. Guyer, R. A., and P. A. Johnson, Nonlinear mesoscopic elasticity: Evidence for a new class of materials, Phys. Today, 52, 30-36, 1999.
15. Hadley, K., Comparison of calculated and observed crack densities and seismic velocities in Westerly granite, J. Geophys. Res., 81, 3484-3494, 1976.
16. Heyliger, P., and H. Ledbetter, Detection of surface and subsurface flaws in homogeneous and composite solids by resonant ultrasound, J. Nondestr. Eval., 17, 79-87; 1998.
17. Hudson, J. A., Overall properties of a cracked solid, Math. Proc. Cambridge Philos. Soc., 88, 371-384, 1980.
18. Hudson, J. A., Overall elastic properties of isotropic materials with arbitrary distribution of circular cracks, Geophys. J. Int., 102, 465-469, 1990.
19. Isaak, D. G., J. D. Carnes, O. L. Anderson, and H. Oda, Elasticity of fused silica spheres under pressure using resonant ultrasound spectroscopy, J. Acoust. Soc. Am., 104, 2200-2206, 1998.
20. Johnson, J. E., and N. I. Christensen, Seismic anisotropy of shales, J. Geophys. Res., 100, 5991-6003, 1995.
21. Kawakata, H., A. Cho, T. Kiyama, K. Kusunose, and M. Shimada, Three-dimensional observations of faulting process in Westerly granite under uniaxial and triaxial conditions by X-ray CT scan. Tectonophysics, 313, 293-305, 1999.
22. Kielczynski, P. J., A. Morean, and J. F. Bussière, Determination of texture coefficients in hexagonal polycrystalline aggregates with orthorhombic symmetry using ultrasounds, J. Acoust. Soc. Am., 95, 813-827, 1994.
23. Kikoin, I. K., Handbook of Physical Values (in Russian), Atomizdat, Moscow, 1976.
24. Kranz, R. L., Microcracks in rocks: A review, Tectonophysics, 100, 449-480, 1983.
25. Kudo, Y., K. Hashimoto, O. Sano, and K. Nakagawa, How to evaluate the principal axes for anisotropic rocks (in Japanese with English abstract), J. Soc. Mater. Sci. Jpn.; 38, 209-215, 1989.
26. Kuster, G. T., and M. N. Toksöz, Velocity and attenuation of seismic waves in two-phase media, Geophysics, 39, 587-618, 1974.
27. Landau, L. D., E. M. Lifshitz, A. M. Kosevich, and L. P. Pitaevskii, Theory of Elasticity, Pergamon, New York, 1986.
28. Lebedev, A. V., Use of a linear prognosis method in ultra sound spectroscopy of rock samples, Acoust. Phys., 48, 381-389, 2002.
29. Lebedev, A. V., L. A. Ostrovsky, and I. A. Soustova, Calculation of natural frequencies for a solid cylinder, Project F37750018-35, Tech. Rep. 2.6.6, Inst. of Appl. Phys., Los Alamos Natl. Lab., Los Alamos, N. M., 1998.
30. Lebedev, A. V., L. A. Ostrovsky, I. A. Soustova, A. M. Sutin, and P. A. Johnson, Resonant acoustic spectroscopy of low Q-factor samples, Acoust. Phys., 49, 92-99, 2003.
31. Lockner, D. A., J. B. Walsh, and J. D. Byerlee, Changes in velocity and attenuation during deformation of granite, J. Geophys. Res., 82, 5374-5378, 1977.
32. Lucet, N., and B. Zinszner, Effect of heterogeneities and anisotropy on sonic and ultrasonic attenuation in rocks, Geophysics, 57, 1018-1026, 1992.
33. Mah, M., and D. R. Schmitt, Experimental determination of the elastic coefficients of an orthorhombic material, Geophysics, 66, 1217-1225, 2001.
34. Mason, W. P., K. J. Marfurt, D. N. Beshers, and J. T. Kuo, Internal friction of metal spheres showing the effect of the anisotropy of the component metals, J. Acoust. Soc. Am., 62, 1206-1212, 1977.
35. Mavko, G.; T. Mukeji, and J. Dvorkin, The Rock Physics Handbook. Tools for Seismic Analysis in Porous Media, Cambridge Univ. Press, New York, 1998.
36. Migliori, A., and J. L. Sarrao, Resonant Ultrasound Spectroscopy, John Wiley, Hoboken, N. J., 1997.
37. 4, Phys. Rev. B, 41, 2098-2101, 1990.
38. Minachi, A., D. K. Hsu, and R. B. Thompson, Single-sided determination of elastic constants of thick composites using acoustoultrasonic technique, J. Acoust. Soc. Am., 96, 353-362, 1994.
39. Nazarov, V. E., L. A. Ostrovsky, I. A. Soustova, and A. M. Sutin, Nonlinear acoustics of micro-inhomogeneous media, Phys. Earth Planet. Inter., 50, 65-73, 1988.
40. Nishizawa, O., Seismic velocity anisotropy in a medium containing oriented cracks-Transversely isotropic case, J. Phys. Earth, 30, 331-347, 1982.
41. Nur, A., Effect of stress on velocity anisotropy in rocks with cracks, J. Geophys. Res., 76, 2022-2034, 1971.
42. O'Connell, R. J., and B. Budiansky, Seismic velocities in dry and saturated cracked solids, J. Geophys. Res., 79, 5412-5426, 1974.
43. Ogi, H., M. Hirao, and T. Honda, Ultrasonic attenuation and grain-size evaluation using electromagnetic acoustic resonance, J. Acoust. Soc. Am., 98, 458-464, 1995.
44. Ohno, I., S. Yamamoto, O. Anderson, and J. Noda, Determination of elastic constants of trigonal crystals by the rectangular parallelepiped resonance method, J. Phys. Chem. Solids, 47, 1103-1122, 1986.
45. Ostrovsky, L. A., A. V. Lebedev, A. L. Matveyev, A. I. Potapov, A. M. Sutin, I. A. Soustova, and P. A. Johnson, Application of three-dimensional resonant acoustic spectroscopy method to rock and building materials, J. Acoust. Soc. Am., 110, 1770-1777, 2001.
46. Power, W. L., T. E. Tullis, and J. D. Weeks, Roughness and wear during brittle faulting, J. Geophys. Res., 93, 15,268-15,278, 1988.
47. Scholz, C. H., and T. A. Koczynski, The response of rock to large cyclic loads, J. Geophys. Res., 84, 5525-5534, 1979.
48. Siegfried, R., and G. Simmons, Characterization of oriented cracks with differential strain analysis, J. Geophys. Res., 83, 1269-1278, 1978.
49. Skudrzyk, E. J., Die Grundlagen der Akustik, Springer-Verlag, New York, 1954.
50. Skudrzyk, E., The mean-value method of predicting the dynamic response of complex vibrators, J. Acoust. Soc. Am., 67, 1105-1135, 1980.
51. Sneddon, I. N., and D. S. Berry, The Classical Theory of Elasticity, Springer-Verlag, New York, 1958.
52. Sumino, Y., I. Ohno, and M. Kumazawa, Measurement of elastic constants and internal frictions on single-crystal MgO by rectangular parallelepiped resonance, J. Phys. Earth, 24, 263-273, 1976.
53. TenCate, J. A., and T. J. Shankland, Slow dynamics in the nonlinear elastic response of Berea sandstone, Geophys. Res. Lett., 23, 3019-3022, 1996.
54. Thomsen, L., Weak elastic anisotropy, Geophysics, 51, 1954-1966, 1986.
55. Ulrich, T. J., K. R. McCall, and R. A. Guyer, Determination of elastic moduli of rock samples using resonant ultrasound spectroscopy, J. Acoust. Soc. Am., 111, 1667-1674, 2002.
56. Valdes, S. H. D., and C. Soutis, Delamination detection in composite laminates from variations of their modal characteristics, J. Sound Vibration, 228, 1-9, 1999.
57. Visscher, W., A. Migliori, T. Bell, and R. Reinert, On the normal modes of free vibrations of inhomogeneous and anisotropic elastic objects, J. Acoust. Soc. Am., 90, 2154-2162, 1991.
58. Vuorinen, J. E., R. B. Schwarz, and C. McCullough, Elastic constants of an aluminum-alumina unidirectional composite, J. Acoust. Soc. Am., 108, 574-579, 2000.
59. Wang, Z., Seismic anisotropy in sedimentary rocks, part 1: A single-plug laboratory method, Geophysics, 67, 1415-1422, 2002.
60. White, J. E., Underground Sound, Application of Seismic Waves, Elsevier Sci., New York, 1983.
61. Zinszner, B., P. A. Johnson, and P. N. J. Rasolofosaon, Influence of change in physical state on elastic nonlinear response in rock: Significance of effective pressure and water saturation, J. Geophys. Res., 102, 8105-8120, 1997.