Poroelastic modeling of seismic boundary conditions across a fracture

Journal of the Acoustical Society of America

Volumn 122, Issue 2, 2007, Pages 831-847

  Nakagawa, Seiji ^a   Schoenberg, Michael A ^b  

^a LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

^b NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE PROPAGATION; BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; FLOW OF FLUIDS; FRACTURE; MATHEMATICAL MODELS; MECHANICAL PERMEABILITY;

FLUID PRESSURE; FLUID-BEARING FRACTURE; WAVE-FRACTURE INTERACTION; WAVE-INDUCED PARTICLE VELOCITY;

SEISMIC WAVES;

ARTICLE; BIOMECHANICS; CORRELATION COEFFICIENT; FLUID FLOW; MATHEMATICAL MODEL; MEMBRANE PERMEABILITY; PRIORITY JOURNAL; SOUND; VELOCITY;

CALIFORNIA; ELASTICITY; GEOLOGY; KINETICS; MODELS, THEORETICAL; NATURAL DISASTERS; PRESSURE; REPRODUCIBILITY OF RESULTS; SOUND;

EID: 34547623742     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.2747206     Document Type: Article

References (39)

1. Adams, J. T., and Dart, C. (1998). " The appearance of potential sealing faults on borehole images., " in Faulting, Fault Sealing and Fluid Flow in Hydrocarbon Reservoirs, edited by, G. Jones,,, Q. J. Fisher,, and, R. J. Knipe,, Geol. Soc. Spec. Publ. 147, 71-86.
2. Aydin, A. (1978). " Small faults formed as deformation bands in sandstone., " Pure Appl. Geophys. 116, 913-930.
3. Bakulin, A., and Molotkov, L. (1997). " Poroelastic medium with fractures as limiting case of stratified poroelastic medium with thin and soft Biot layers., " 67th Annual International Meeting, SEG, Expanded Abstracts, 1001-1004.
4. Bakulin, A., Grechka, V., and Tsvankin, I. (2000). " Estimation of fracture parameters from reflection seismic data. I. HTI model due to a single fracture set., " Geophysics 65, 1788-1802.
5. Berryman, J. G., and Wang, H. F. (1995). " The elastic coefficients of double-porosity models for fluid transport in jointed rock., " J. Geophys. Res. 100, 24611-24627.
6. Berryman, J. G., and Wang, H. F. (2000). " Elastic wave propagation and attenuation in a double-porosity dual-permeability medium., " Int. J. Rock Mech. Min. Sci. 37, 63-78.
7. Biot, M. A. (1956a). " Theory of elastic waves in a fluid-saturated porous solid. I. Low frequency range., " J. Acoust. Soc. Am. 28, 168-178.
8. Biot, M. A. (1956b). " Theory of elastic waves in a fluid-saturated porous solid. II. High frequency range., " J. Acoust. Soc. Am. 28, 179-191.
9. Brajanovski, M., Gurevich, B., and Schoenberg, M. (2005). " A model for P-wave attenuation and dispersion in a porous medium permeated by aligned fractures., " Geophys. J. Int. 163, 372-384.
10. Cheng, A. H.-D. (1997). " Material coefficients of anisotropic poroelasticity., " Int. J. Rock Mech. Min. Sci. 34 (2), 199-205.
11. Coates, R. T., and Schoenberg, M. (1995). " Finite-difference modeling of faults and fractures., " Geophysics 60 (5), 1514-1526.
12. Dutta, N. C., and Od́, H. (1979a). " Attenuation and dispersion of compressional waves in fluid-filled porous rocks with partial gas saturation (White Model)-I. Biot theory., " Geophysics 44, 1777-1788.
13. Dutta, N. C., and Od́, H. (1979b). " Attenuation and dispersion of compressional waves in fluid-filled porous rocks with partial gas saturation (White Model)-II. Results., " Geophysics 44, 1806-1812.
14. Gelinsky, S., and Shapiro, S. A. (1997). " Dynamic-equivalent medium approach for thinly layered saturated sediments., " Geophys. J. Int. 128, F1-F4.
15. Gurevich, B., Marschall, R., and Schapiro, S. A. (1994). " Effect of fluid flow on seismic reflections from a thin layer in a porous medium., " J. Seism. Explor. 3, 125-140.
16. Gurevich, B., Zyrianov, V. B., and Lopatnikov, S. L. (1997). " Seismic attenuation in finely layered porous rocks: Effects of fluid flow and scattering., " Geophysics 62 (1), 319-324.
17. Gurevich, B., and Schoenberg, M. A. (1999). " Interface conditions for Biot's equations of poroelasticity., " J. Acoust. Soc. Am. 105 (5), 2585-2589.
18. Haskell, N. A. (1953). " The dispersion of surface waves in multilayered media., " Bull. Seismol. Soc. Am. 43, 17-34.
19. Hsu, C.-J., and Schoenberg, M. A. (1993). " Acoustic waves through a simulated fractured medium., " Geophysics 58 (7), 964-977.
20. Johnson, D. L. (2001). " Theory of frequency dependent acoustics in patchy-saturated porous media., " J. Acoust. Soc. Am. 110 (2), 682-694.
21. Johnson, D. L., Koplik, J., and Dashen, R. (1987). " Theory of dynamic permeability and tortuosity in fluid-saturated porous media., " J. Fluid Mech. 176, 379-402.
22. Kennett, B. L. N. (1983). Seismic Wave Propagation in Stratified Media (Cambridge University Press, Cambridge).
23. Nakagawa, S., Nihei, K. T., and Myer, L. R. (2002). " Elastic wave propagation along a set of parallel fractures., " Geophys. Res. Lett. 29, 31-1-31-4.
24. Nihei, K. T., Weidong, Y., Myer, L. R., Cook, N. G. W., and Schoenberg, M. A. (1999). " Fracture channel waves., " J. Geophys. Res. 104 (B3), 4769-4781.
25. Norris, A. N. (1993). " Low-frequency dispersion and attenuation in partially saturated rocks., " J. Acoust. Soc. Am. 94, 359-370.
26. Pride, S. R., Tromeur, E., and Berryman, J. G. (2002). " Biot slow-wave effects in stratified rock., " Geophysics 67 (1), 271-281.
27. Pride, S. R. (2003). " Relationships between seismic and hydrological properties., " in Hydrogeophysics, edited by, Y. Rubin, and, S. Hubbard, (Kluwer Academic, New York), pp. 1-31.
28. Pride, S. R., and Berryman, J. G. (2003a). " Linear dynamics of double-porosity and dual-permeability materials, I. Governing equations and acoustic attenuation., " Phys. Rev. E 68, 036603.
29. Pride, S. R., and Berryman, J. G. (2003b). " Linear dynamics of double-porosity and dual-permeability materials. II. Fluid transport equation., " Phys. Rev. E 68, 036604.
30. Pyrak-Nolte, L. J., and Cook, N. G. W. (1987). " Elastic interface waves along a fracture., " Geophys. Res. Lett. 14 (11), 1107-1110.
31. Pyrak-Nolte, L. J., and Morris, J. P. (2000). " Single fractures under normal stress: The relation between fracture specific stiffness and fluid flow., " Int. J. Rock Mech. Min. Sci. 37, 245-262.
32. Pyrak-Nolte, L., Cook, N. G. W., and Myer, L. R. (1990). " Transmission of seismic waves across single natural fractures., " J. Geophys. Res. 95, 8516-8538.
33. Rokhlin, S. I., and Wang, Y. J. (1991). " Analysis of boundary conditions for elastic wave interaction with an interface between two solids., " J. Acoust. Soc. Am. 89 (2), 503-515.
34. Schoenberg, M. A. (1980). " Elastic wave behavior across linear slip interfaces., " J. Acoust. Soc. Am. 68, 1516-1521.
35. Schoenberg, M. A., and Protazio, J. (1992). " Zoeppritz rationalized and generalized to anisotropy., " J. Seism. Explor. 1 (2), 125-144.
36. Schoenberg, M. A., and Sayers, C. M. (1995). " Seismic anisotropy of fractured rock., " Geophysics 60, 204-211.
37. Shapiro, S. A., and Müller, T. M. (1999). " Seismic signatures of permeability in heterogeneous porous media., " Geophysics 64 (1), 99-103.
38. Sibson, R. H. (1977). " Fault rock and fault mechanisms., " J. Geol. Soc. (London) 133, 191-213.
39. White, J. E., Mikhahaylova, N. G., and Lyakhovistsky, F. M. (1975). " Low-frequency seismic waves in fluid-saturated layered rocks., " Izv., Acad. Sci., USSR, Phys. Solid Earth 11, 654-659.