Shear wave dispersion and attenuation in periodic systems of alternating solid and viscous fluid layers

International Journal of Solids and Structures

Volumn 43, Issue 25-26, 2006, Pages 7673-7683

  Gurevich, Boris ^a,b   Ciz, Radim ^b  

^a CURTIN UNIVERSITY   (Australia)

^b CSIRO   (Australia)

Author keywords

Attenuation; Dispersion; Poroelasticity; Shear wave; Viscous fluid

Indexed keywords

ANISOTROPY; ASYMPTOTIC STABILITY; ATTENUATION; NATURAL FREQUENCIES; SHEAR WAVES; VISCOELASTICITY; VISCOUS FLOW;

POROELASTIC MECHANISMS; POROELASTICITY; VISCOUS FLUID; VISCOUS FLUID LAYERS;

WAVE PROPAGATION;

EID: 33750290355     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2006.03.024     Document Type: Article

References (23)

1. Auriault J.-L. Dynamic behaviour of a porous medium saturated by a Newtonian fluid. Int. J. Eng. Sci. 18 (1980) 775-785
2. Bedford A. Application of Biot's equations to a medium of alternating fluid and solid layers. J. Wave-Mater. Interact. 1 (1986) 34-53
3. Berryman J.G. Scattering by a spherical inhomogeneity in a fluid-saturated porous medium. J. Math. Phys. 26 (1985) 1408-1419
4. Biot M.A. Theory of propagation of elastic waves in a fluid saturated porous solid. II. Higher frequency range. J. Acoust. Soc. Am. 28 (1956) 179-191
5. Biot M.A. Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range. J. Acoust. Soc. Am. 28 (1956) 168-178
6. Biot M.A. Mechanics of deformation and acoustic propagation in porous media. J. Appl. Phys. 33 (1962) 1482-1498
7. Bird R.B., Curtiss Ch.F., Armstrong R.C., and Hassager O. Dynamics of Polymeric Liquids (1987), J. Wiley & Sons, New York
8. Boutin C., and Auriault J.-L. Dynamic behaviour of porous media saturated by a viscoelastic fluid. Application to bituminous concretes. Int. J. Eng. Sci 28 (1990) 1157-1181
9. Brekhovskikh L.M. Waves in Layered Media (1981), Academic Press
10. Burridge R., and Keller J.B. Poroelasticity equations derived from microstructure. J. Acoust. Soc. Am. 70 (1981) 1140-1146
11. Christensen R.M. Mechanics of Composite Materials (1979), John Wiley & Sons
12. Craig V.S.J., Neto C., and Williams D.R.M. Shear-dependent boundary slip in an aqueous Newtonian fluid. Phys. Rev. Lett. 87 (2001) 054504 (1-4)
13. Frenkel J. On the theory of seismic and seismoelectric phenomena in moist soil. J. Phys. 8 (1944) 230-241
14. Gurevich B. Low-frequency shear wave propagation in periodic systems of alternating solid and viscous fluid layers. J. Acoust. Soc. Am. 106 (1999) 57-60
15. Gurevich B. Effect of fluid viscosity on elastic wave attenuation in porous rocks. Geophysics 67 (2002) 264-270
16. Landau L., and Lifshitz E. Fluid Mechanics (1987), Pergamon Press, Inc
17. Levy T. Propagation of waves in a fluid-saturated porous elastic solid. Int. J. Eng. Sci 17 (1979) 1005-1014
18. Molotkov, L.A., Bakulin, A.V., 1996. About the relation between the effective model of layered fluid-solid medium and transversely isotropic Biot model, European Association of Geoscientists and Engineers, Extended Abstracts, Paper C013.
19. Pride S.R., Gangi A.F., and Morgan F.D. Deriving the equations of motion for porous isotropic media. J. Acoust. Soc. Am. 92 (1992) 3278-3290
20. Rytov S.M. Acoustical properties of a thinly laminated medium. Sov. Phys. Acoust. 2 (1956) 68-80
21. Schoenberg M. Wave propagation in alternating fluid/soil layers. Wave Motion 6 (1984) 303-320
22. Schoenberg M., and Sen P.N. Wave propagation in alternating solid and viscous fluid layers: Size effects in attenuation and dispersion of fast and slow waves. Appl. Phys. Lett. 48 (1986) 1249-1251
23. Tsiklauri D., and Beresnev I. Properties of elastic waves in a non-Newtonian(Maxwell) fluid-saturated porous medium. Transp. Porous Media 53 (2003) 39-50