Wave velocities in a pre-stressed anisotropic elastic medium

Journal of Earth System Science

Volumn 115, Issue 2, 2006, Pages 257-265

  Sharma, M D ^a   Garg, Neetu ^a  

^a KURUKSHETRA UNIVERSITY   (India)

Author keywords

Anisotropy; Group velocity; Phase velocity; Pre stress

Indexed keywords

ANISOTROPY; NUMERICAL MODEL; PHASE VELOCITY; WAVE PROPAGATION;

EID: 33746335298     PISSN: 02534126     EISSN: 02534126     Source Type: Journal    
DOI: 10.1007/BF02702040     Document Type: Article

References (27)

1. Ben-Menahem A and Sena A G 1990 Seismic source theory in stratified anisotropic media; J. Geophys. Res. 95 15,395-15,427.
2. Biot M A 1939 Non-linear theory of elasticity and the linearized case for a body under initial stress; Phil. Mag. 27(7) 468-489.
3. Biot M A 1940 Influence of initial stress on elastic waves; J. Appl. Phys. 11 522-530.
4. Biot M A 1965 Mechanics of Incremental Deformation (New York: John Wiley) p. 214.
5. Cauchy A L 1827 Exercise de Mathematique, vol 2 (Paris: Bure Feres).
6. Chai J-F and Wu T-T 1996 Determination of surface wave velocities in a prestressed anisotropic solid; NDT & E Int. 29 281-292.
7. Crampin S 1981 A review of wave motion in anisotropic and cracked elastic media; Wave Motion 3 343-391.
8. Crampin S 1987 Geological and industrial implications of extensive dilatancy anisotropy; Nature 328 491-496.
9. Crampin S 1994 The fracture criticality of crustal rocks; Geophys. J. Int. 118 428-438.
10. Crampin S, McGonigle R and Bamford D 1980 Estimating crack parameters from observations of P wave velocity anisotropy; Geophysics 45 345-360.
11. Degtyar A D and Rokhlin S I 1995 Absolute stress determination in orthotropic materials from angular dependence of ultrasonic velocities; J. Appl. Phys. 78 1547-1556.
12. Degtyar A D and Rokhlin S I 1997 Stress effect on ultrasonic wave propagation through the solid-solid and liquid-solid plane interface; Reviews of Progress in Quantitative NDE Vol. 16B (eds) D O Thompson and D E Chimenti (New York: Plenum) pp. 1699-1706.
13. Degtyar A D and Rokhlin S I 1998 Stress effect on boundary conditions and elastic wave propagation through an interface between anisotropic media; J. Acoust. Soc. Am. 104 1992-2003.
14. Doyle M, McGonigle R and Crampin S 1982 The effects of crack anisotropy on the hypocentral locations of local earthquakes; Geophys. J. R. Astr. Soc. 69 137-157.
15. Gibson Jr. R L and Toksoz M N 1990 Permeability estimation from velocity anisotropy in fractured rocks; J. Geophys. Res. 95 15,643-15,656.
16. Hadley G 1993 Linear Algebra (New Delhi: Narosa) pp. 260-262.
17. Hayes M 1963 Wave propagation and uniqueness in pre-stressed elastic solids; Proc. Roy. Soc. London A274 500-506.
18. Hudson J A 2001 Effect of fluid pressure on wave speeds in cracked solids; Geophys. J. Int. 143 302-310.
19. Man C-S and Lu W Y 1987 Towards an acoustoelastic theory for measurements of residual stress; J. Elast. 17 159-182.
20. Norris A N and Sinha B K 1995 Speed of a wave along a fluid/solid interface in the presence of anisotropy and prestress; J. Acoust. Soc. Am. 98 1147-1154.
21. Prikazchikov D A and Rogerson G A 2003 Some comments on the dynamic properties of anisotropic and strongly anisotropic pre-stressed elastic solids; Int. J. Engg. Sci. 41 149-171.
22. Rasolofosaon P N J and Zinszner B E 2002 Comparison between permeability anisotropy and elasticity anisotropy of reservoir rocks; Geophysics 67 230-240.
23. Sayers C M, Johnson G M and Denyer G 2002 Predrill pore-pressure prediction using seismic data; Geophysics 67 1286-1292.
24. Sharma M D and Gogna M L 1991 Propagation of Love waves in an initially stressed medium consisting of slow elastic layer lying over a liquid-saturated porous solid half-space; J. Acoust. Soc. Am. 89 2584-2588.
25. Sharma M D 2002 Group velocity in general direction in a general anisotropic medium; Int. J. Solids & Struct. 39 3277-3288.
26. Sinha B K, Kostek S and Norris A N 1995 Stoneley and flexural modes in pressurised boreholes; J. Geophys. Res. 100 22,375-22,381.
27. Tolstoy I 1982 On elastic waves in prestressed solid; J. Geophys. Res. 87 6823-6827.