Effects of pressure and saturating fluid on wave velocity and attenuation in anisotropic rocks

International Journal of Rock Mechanics and Mining Sciences

Volumn 40, Issue 3, 2003, Pages 389-403

  Carcione, J M ^a   Helbig, K ^b   Helle, H B ^c  

^a ISTITUTO NAZIONALE DI OCEANOGRAFIA E DI GEOFISICA SPERIMENTALE OGS   (Italy)

^b E and P Research Centre ^*  (Germany)

^c STATOIL   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; ATTENUATION; PORE PRESSURE; STRESS ANALYSIS;

ANISOTROPIC ROCKS;

ROCKS;

ANISOTROPIC MEDIUM; BIOT THEORY; PORE PRESSURE; POROELASTICITY; ROCK MECHANICS; SATURATION; SEISMIC ATTENUATION; WAVE VELOCITY;

EID: 0038218570     PISSN: 13651609     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1365-1609(03)00016-9     Document Type: Article

References (58)

1. Winterstein DF. Velocity anisotropy: terminology for geophysicists. Geophysics 1990;55: 1070-88.
2. Carcione JM, Cavallini F. Energy balance and fundamental relations in anisotropic-viscoelastic media. Wave Motion 1993;18: 11-20.
3. Carcione JM, Cavallini F, Helbig K. Anisotropic attenuation and material symmetry. Acustica 1998;84:495-502.
4. Biot MA. Theory of elasticity and consolidation for a porous anisotropic solid. J Appl Phys 1955;26:182-5.
5. Biot MA. Theory of deformation of a porous viscoelastic anisotropic solid. J Appl Phys 1956;27:459-67.
6. Biot MA, Willis DG. The elastic coefficients of the theory of consolidation. J Appl Mech 1957;24:594-601.
7. Brown R, Korringa J. On the dependence of the elastic properties of a porous rock on the compressibility of the pore fluid. Geophysics 1975;40:608-16.
8. Carroll MM. Mechanical response of fluid-saturated porous materials. In: Rimrott FPJ, Tabarrok B, editors. Theoretical and applied mechanics. Proceedings of the 15th International Congress on Theoretical and Applied Mechanics, Toronto, 1980. p. 251-62.
9. Thompson M, Willis JR. A reformulation of the equations of anisotropic poroelasticity. J Appl Mech ASME 1991;58:612-6.
10. Cheng AH. Material coefficients of anisotropic poroelasticity. Int J Rock Mech Min Sci Geomech Abstr 1997;34:199-205.
11. Lo TW, Coyner KB, Toksöz MN. Experimental determination of elastic anisotropy of Berea sandstone, Chicopea shale, and Chelmsford granite. Geophysics 1986;51:164-71.
12. Aoki T, Tan CP, Bramford WE. Effects of deformation and strength anisotropy on boreholes failures in saturated rocks. Int J Rock Mech Min Sci Geomech Abstr 1993;30:1031-14.
13. Rasolofosaon PN, Zinszner BE. Comparison between permeability anisotropy and elasticity anisotropy of reservoirs rocks. Geophysics 2002,67:230-40.
14. Norris AN. Dispersive plane wave propagation in periodically layered anisotropic media. Proc R Ir Acad 1992;92A(1):49-67.
15. Ben-Menahem A, Gibson R.L. Directional attenuation of SH-waves in anisotropic poroelastic media. J Acoust Soc Am 1993;93:3057-65.
16. Parra JO. The transversely isotropic poroelastic wave equation including the Biot and the squirt mechanisms: theory and application. Geophysics 1997;62:309-18.
17. Gelinsky S, Shapiro SA. Poroelastic backus-averaging for anisotropic, layered fluid and gas saturated sediments. Geophysics 1997;62:1867-78.
18. Gelinsky S, Shapiro SA, Mü T, Gurevich B. Dynamic poroelasticity of thinly layered structures. Int J Solids Struct 1998;35:4739-51.
19. Carcione JM. Energy balance and fundamental relations in dynamic anisotropic poro-viscoelasticity. Proc R Soc London Ser A 2001a; 457:331-48.
20. Carcione JM. Wave fields in real media: wave propagation in anisotropic, anelastic and porous media, Handbook of Geophysical Exploration, vol. 31. Amsterdam: Pergamon, 2001.
21. Hudson JA. The effect of fluid pressure on wavespeeds in a cracked solid. Geophys J Int 2000;143:302-10.
22. Tod SR. The effects of stress and fluid pressure on the anisotropy of interconnected cracks. Geophys J Int 2000;149:149-56.
23. Kjartansson E. Constant Q-wave propagation and attenuation. J Geophys Res 1979;84:4737-48.
24. Carcione JM, Cavallini F, Mainardi F, Hanyga A. Time-domain modeling of constant-Q seismic waves using fractional derivatives. Pure Appl Geophys 2002;159:1719-36.
25. Keller JD. Acoustic wave propagation in composite fluid-saturated media. Geophysics 1989;54:1554-63.
26. Johnson DL, Koplik J, Dashen R. Theory of dynamic permeability and tortuosity in fluid-saturated porous media. J Fluid Mech 1987;176:379-402.
27. Carcione JM, Gangi A. Gas generation and overpressure: effects on seismic attributes. Geophysics 2000;65:1769-79.
28. Carcione JM, Gangi A. Non-equilibrium compaction and abnormal pore-fluid pressures: effects on seismic attributes. Geophys Prosp 2000;48:521-37.
29. Luo X., Vasseur G. Geopressuring mechanism of organic matter cracking: numerical modeling. AAPG Bull 1996;80:856-74.
30. Rubey WW, Hubbert MK. Role of fluid pressure mechanics of overthrust faulting, II. Overthrust belt in geosynclinal area of Western Wyoming in light of fluid pressure hypothesis. Geol Soc Am 1959;70:167-205.
31. Zimmerman RW. Compressibility of sandstones. Amsterdam: Elsevier, 1991.
32. Cadoret T, Marion D, Zinszner B. Influence of frequency and fluid distribution on elastic wave velocities in partially saturated limestones. J Geophys Res 1995;100:9789-803.
33. Dvorkin J, Moos D, Packwood JL, Nur A. Identifying patchy saturation from well logs. Geophysics 1999;64:1756-9.
34. Brie A, Pampuri F, Marsala AF, Meazza O. Shear sonic interpretation in gas-bearing sands. Proceedings of the SPE Annual Technical Conference, #30595, 1995. p. 701-10.
35. Auld BA. Acoustic fields and waves in solids. Malabar, FL: Robert E. Krieger, 1991.
36. Dvorkin J, Nolen-Hoeksema R, Nur A. The squirt-flow mechanism: macroscopic description. Geophysics 1994;59:428-38.
37. Biot MA. Mechanics of deformation and acoustic propagation in porous media. J Appl Phys 1962;33:1482-98.
38. Ben-Menahem A, Singh SG. Seismic waves and sources. New York: Springer, 1981.
39. Prasad M, Manghnani MH. Effects of pore and differential pressure on compressional wave velocity and quality factor in Berea and Michigan sandstones. Geophysics 1997;62: 1163-76.
40. Berryman JG. Effective stress for transport properties of inhomogeneous porous rock. J Geophys Res 1992;97(B12):17409-24.
41. Guéguen Y, Palciauskas, V. Introduction to the physics of rocks. Princeton, NJ: Princeton University Press, 1994.
42. Mavko G, Mukerji T, Dvorkin J. The rock physics handbook: tools for seismic analysis in porous media. Cambridge: Cambridge University Press, 1998.
43. Mavko G, Nur A. Effect of a percolation threshold in the Kozeny-Carman relation. Geophysics 1997;62:1480-2.
44. Gangi A. The variation of mechanical and transport properties of cracked rock with pressure. In: Einstein HH, editor. Rock mechanics from research to application, Proceedings of the 22nd US Symposium on Rock Mechanics, Cambridge, MA. 1981. p. 88-89.
45. Stoll RD, Bryan GM. Wave attenuation in saturated sediments. J Acoust Soc Am 1970;47: 1440-7.
46. Auriault JL, Borne L, Chambon R. Dynamics of porous saturated media, checking of the generalized law of Darcy. J Acoust Soc Am 1985;77:1641-50.
47. Bland DR. The theory of linear viscoelasticity. Oxford: Pergamon Pres, 1960.
48. Scott-Blair GW. Survey of general and applied rheology. London: Pitman, 1949.
49. Carcione JM. Cavallini F. A rheological model for anelastic anisotropic media with applications to seismic wave propagation. Geophys J Int 1994;119:338-48.
50. Reid RC, Prausnitz JM, Poling BE. The properties of gases and liquids. New York: McGraw-Hill, 1987.
51. Carcione JM, Poletto F. Sound velocity of drilling mud saturated with reservoir gas. Geophysics 2000;65:646-51.
52. Mann DM, Mackenzie AS. Prediction of pore fluid pressures in sedimentary basins. Mar Petrol Geol 1990;7:55-65.
53. Bear J, Bachmat Y. Introduction to modeling of transport phenomena in porous media. Dordrecht: Kluwer Academic Publishers, 1990.
54. Bear J, Braester C, Menier PC. Effective and relative permeabilities of anisotropic porous media. Transp Porous Media 1987;2:301-16.
55. Hudson JA, Liu E. Effective elastic properties of heavily faulted structures. Geophysics 1999;64:479-85.
56. Jakobsen MH, Hudson JA, Minshull TA, Singh SC.Elastic properties of hydrate-bearing sediments using effective medium theory. J Geophys Res 2000;105:561-77.
57. Liu E, Hudson JA, Pointer T. Equivalent medium representation of fractured rock. J Geophys Res 2000;105:2981-3000.
58. Thomson W. (Lord Kelvin), Elements of a mathematical theory of elasticity. Phil Trans R Soc 1856;166:481-98.