Unified phenomenological model for the mechanical behavior of rocks

Geophysics

Volumn 74, Issue 5, 2009, Pages

  Rasolofosaon, Patrick N J ^a  

^a IFP ENERGIES NOUVELLES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; DEGREES OF FREEDOM (MECHANICS); ROCK MECHANICS; STRAIN;

ANALYTIC FUNCTIONS; EXPERIMENTAL SPECTRA; FREQUENCY DEPENDENCE; MATHEMATICAL TOOLS; MECHANICAL BEHAVIOR; ORDERS OF MAGNITUDE; PHENOMENOLOGICAL MODELING; UNIFIED MODELING;

ROCKS;

CONFERENCE PROCEEDING; MECHANICAL PROPERTY; MODELING; NUMERICAL METHOD; ROCK MECHANICS; STRAIN; STRESS-STRAIN RELATIONSHIP;

EID: 71049179867     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.3169505     Document Type: Conference Paper

References (46)

1. Arts, R. J., P. N. J. Rasolofosaon, and B. E. Zinszner, 1991, Complete inversion of the anisotropic elastic tensor in rocks - Experiment versus theory: 61st Annual International Meeting, SEG, Expanded Abstracts, 1538-1541.
2. Azoune, L., 2006, Experimental and theoretical studies of dynamic nonlinear elasticity in anisotropic rocks: Ph.D. thesis, Université Pierre et Marie Curie (Paris VI).
3. Azoune, L., and P. N. J. Rasolofosaon, 2004, Nonlinear elasticity with hysteresis in arbitrary anisotropic rocks - Direct and inverse problems: 66th Annual Conference and Exhibition, EAGE, P092.
4. Azoune, L., and P. N. J. Rasolofosaon, 2005, Complete mechanical description of anisotropic sedimentary rocks - Experiments versus theory: 2nd North African/Mediterranean Petroleum & Geosciences Conference and Exhibition, P18.
5. Bertotti, G., 1992, Dynamic generalization of the Preisach model of hysteresis: IEEE Transactions on Magnetics, 28, 2599-2601. emg IEMGAQ 0018-9464 10.1109/20.179569
6. Bou Matar, O., S. Dos Santos, S. Calle, T. Goursolle, S. Venaverbeke, and K. Van den Abeele, 2006, Simulations of nonlinear time reversal imaging of damaged materials: European Conference on Non-Destructive Testing, Th.1.5.2.
7. Bourbié, T., O. Coussy, and B. Zinszner, 1987, Acoustics of porous media: Editions Technip.
8. Carcione, J., 2007, Wave fields in real media - Wave propagation in anisotropic, anelastic, porous and electromagnetic media: Elsevier, 2nd ed., rev.
9. Carcione, J., and F. Cavallini, 1994, A rheological model for anelastic anisotropic media with application to seismic wave propagation: Geophysical Journal International, 119, 338-348. gji GJINEA 0956-540X 10.1111/j.1365-246X.1994.tb00931.x
10. Daemen, J. J. K., and R. A. Schultz, 1995, Rock mechanics - Proceedings of the 35th U.S. symposium: Balkema.
11. Eberhardt-Phillips, D., D.-H. Han, and M. D. Zoback, 1989, Empirical relationship among seismic velocity, effective pressure, and clay content in sandstones: Geophysics, 54, 82-89. gpy GPYSA7 0016-8033 10.1190/1.1442580
12. Gist, G. A., 1994, Fluid effects on velocity and attenuation in sandstones: Journal of the Acoustical Society of America, 96, 1158-1173. jas JASMAN 0001-4966 10.1121/1.410389
13. Guyer, R. A., and P. A. Johnson, 1999, Nonlinear mesoscopic elasticity: Evidence for a new class of materials: Physics Today, 52, 30-35. pto PHTOAD 0031-9228
14. Guyer, R. A., K. R. McCall, and G. N. Boitnott, 1995, Hysteresis, discrete memory and nonlinear wave propagation - A new paradigm: Physical Review Letters, 74, 3491-3494. prl PRLTAO 0031-9007 10.1103/ PhysRevLett.74.3491
15. Guyer, R. A., K. R. McCall, G. N. Boitnott, L. B. Hilbert Jr., and T. J. Plona, 1997, Quantitative implementation of Preisach-Mayergoyz space to find static and dynamic elastic moduli in rock: Geophysical Research Letters, 25, 1585-1588. gpr GPRLAJ 0094-8276 10.1029/98GL51231
16. Helbig, K., 1994, Foundations of anisotropy for exploration seismics: Pergamon Press.
17. Helbig, K., and P. N. J. Rasolofosaon, 2000, A theoretical paradigm for describing hysteresis and nonlinear elasticity in arbitrary anisotropic rocks, in L. Ikelle and A. Gangi, eds., Anisotropy 2000: Fractures, converted waves and case studies: SEG, 383-398.
18. Helbig, K., and P. N. J. Rasolofosaon, 2009, Kelvin's eigensystems in anisotropic poroelasticity: Geophysics, this issue. 10.1190/1.3052114 GPYSA7 0016-8033
19. Jaeger, J. C., and N. G. W. Cook, 1976, Fundamentals of rock mechanics: Chapman & Hall.
20. Jakobsen, M., 2004, The interacting inclusion model of wave-induced fluid flow: Geophysical Journal International, 158, 1168-1176. gji GJINEA 0956-540X 10.1111/j.1365-246X.2004.02360.x
21. Jakobsen, M., and M. Chapman, 2009, Unified theory of global and squirt flow in cracked porous media: Geophysics, 74, no. 2, WA65-WA76. gpy GPYSA7 0016-8033 10.1190/1.3078404
22. Jakobsen, M., and T. A. Johansen, 2005, Effects of drained and undrained deformations on viscoelastic waves in rock-like composites: International Journal of Solids and Structures, 42, 1597-1611. ijl IJSOAD 0020-7683 10.1016/j.ijsolstr.2004.07.016
23. Jakobsen, M., T. A. Johansen, and C. McCann, 2003, The acoustic signature of fluid flow in complex porous media: Journal of Applied Geophysics, 54, 219-246. c4u JAGPEA 0926-9851 10.1016/ j.jappgeo.2002.11.004
24. Johnson, D., S. Kostek, and A. Norris, 1993, Measurement of nonlinear formation parameters using sonic borehole tool: U.S. Patent #5 485 431.
25. Johnson, P. A., 1999, The new wave in acoustic testing: Materials World, 7, 544-546. 8vl MORLEE 0967-8638
26. Johnson, P. A., 2006, Nonequilibrium nonlinear-dynamics in solids: State of the art, in P. P. Delsanto, ed., The universality of nonclassical nonlinearity with applications to nondestructive evaluations and ultrasonics: Springer, 49-69.
27. Johnson, P. A., and X. Jia, 2005, Nonlinear dynamics, granular media and dynamic earthquake triggering: Nature, 473, 871-874. bnh NATUAS 0028-0836 10.1038/nature04015
28. Johnson, P. A., and P. N. J. Rasolofosaon, 1996, Manifestation of nonlinear elasticity in rock: Convincing evidences over large frequency and strain intervals from laboratory studies: Nonlinear Processes in Geophysics, 3, 77-88. b4h ZZZZZZ 1023-5809
29. Kahn, T., and S. K. McGuire, 2005, Elastic nonlinearity of reservoir rocks - A paradigm shift: CSEG Recorder, May 2005, 44-52.
30. Kelvin, Lord (W. Thomson), 1856, Elements of a mathematical theory of elasticity: Part 1 - On stresses and strains: Philosophical Transactions of the Royal Society, 166, 481-498. pta PTRMAD 0962-8428
31. Kelvin, Lord (W. Thomson), 1878, Mathematical theory of elasticity [in the article Elasticity]: Encyclopaedia Britannica, 9th ed., 7, 796-825.
32. Klein, C., and C. S. Hurlbut, 1985, Manual of mineralogy: John Wiley & Sons.
33. Lawrence, Z., P. Bodin, C. Langston, F. Pearce, J. Gomberg, P. Johnson, F.-Y. Meng, and T. Brackman, 2008, Induced dynamic nonlinear ground response at Garner Valley, California: Bulletin of the Seismological Society of America, 98, 1412-1428. bss BSSAAP 0037-1106 10.1785/ 0120070124
34. Liu, H., 1989, Traitement du signal et série de Volterra - Applications à la dynamique non-linéaire des structures: Ph.D. thesis, Conservatoire National des Arts et Métiers.
35. Mavko, G., T. Mukerji, and J. Dvorkin, 2003, The rock physics handbook: Tools for seismic analysis in porous media: Cambridge University Press.
36. Muller, M., D. Mitton, M. Talmant, P. A. Johnson, and P. Laugier, 2008, Nonlinear ultrasound can detect accumulated damage in human bone: Journal of Biomechanics, 41, 1062-1068. jbi JBMCB5 0021-9290 10.1016/ j.jbiomech.2007.12.004
37. Nye, J. F., 1957, Physical properties of crystals: Oxford University Press.
38. Ostrovsky, L., and P. A. Johnson, 2001, Dynamic nonlinear elasticity in geomaterials: Rivista del Nuovo Cimento, 24, 1-46. rnc RNUCAC 0035-5917
39. Ostrovsky, L., A. Lebedev, A. Matveyev, A. Potapov, A. Sutin, I. Soustova, and P. Johnson, 2001, Application of three-dimensional resonant acoustic spectroscopy method to rock and building materials: Journal of the Acoustical Society of America, 110, 4-20. jas JASMAN 0001-4966 10.1121/1.1402255
40. Preisach, F., 1935, Über die magnetische Nachwirkung: Zeitschrift für Physik, 94, 277-302. 10.1007/BF01349418
41. Rosenberg, R. M., 1965, On normal modes of general class of nonlinear dual mode systems: Journal of Applied Mechanics, 29, 275-283. jah JAMCAV 0021-8936
42. Thomsen, L. A., 1995, Elastic anisotropy due to aligned cracks in porous rock: Geophysical Prospecting, 43, 805-829. 8uc GPPRAR 0016-8025 10.1111/ j.1365-2478.1995.tb00282.x
43. Thomsen, L. A., 2002, Understanding seismic anisotropy in exploration and exploitation: SEG/EAGE Distinguished Instructor Short Course No. 5: SEG.
44. Ulrich, T. J., P. A. Johnson, and A. M. Sutin, 2006, Imaging nonlinear scatterers applying the time reversal mirror: Journal of the Acoustical Society of America, 119, 1514-1518. jas JASMAN 0001-4966 10.1121/ 1.2168413
45. Ulrich, T. J., P. A. Johnson, M. Müller, D. Mitton, M. Talmant, and P. Laugier, 2007, Application of nonlinear dynamics to monitoring progressive fatigue damage in human cortical bone: Applied Physics Letters, 91, 213901. apl APPLAB 0003-6951 10.1063/1.2809565
46. Zimmerman, R. W., W. Somerton, and M. King, 1986, Compressibility of porous rocks: Journal of Geophysical Research, 91, 12765-12777. jgr JGREA2 0148-0227 10.1029/JB091iB12p12765