Diffraction of plane SV waves by a shallow circular-arc canyon in a saturated poroelastic half-space

Soil Dynamics and Earthquake Engineering

Volumn 26, Issue 6-7, 2006, Pages 582-610

  Liang, Jianwen ^a   Ba, Zhenning ^a   Lee, Vincent W ^b  

^a TIANJIN UNIVERSITY   (China)

^b University of Southern California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFRACTION; POISSON RATIO; PORE PRESSURE; POROSITY; SCATTERING; WAVE EQUATIONS;

INCIDENT ANGLES; SATURATED POROELASTIC HALF-SPACE; SHALLOW CIRCULAR-ARC CANYON; SURFACE DISPLACEMENT AMPLITUDES; WAVE FUNCTION EXPANSION METHOD;

SURFACE WAVES;

CANYON; HALF SPACE; POISSON RATIO; PORE PRESSURE; POROELASTICITY; WAVE DIFFRACTION; WAVE SCATTERING;

EID: 33746016630     PISSN: 02677261     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.soildyn.2006.01.011     Document Type: Article

References (31)

1. Trifunac M.D. Scattering of plane SH waves by a semi-cylindrical canyon. Earthquake Eng Struc Dynam 1 (1973) 267-281
2. Wong H.L., and Trifunac M.D. Scattering of plane SH-waves by a semi-elliptical canyon. Earthquake Eng Struc Dynam 3 (1974) 157-169
3. Cao H., and Lee V.W. Scattering of plane SH waves by circular cylindrical canyons with variable depth-to-width. European J Earthquake Eng 3 2 (1989) 29-37
4. Yuan X., and Liao Z. Scattering of plane SH waves by a cylindrical canyon of circular-arc cross-section. Soil Dynam Earthquake Eng 13 (1994) 407-412
5. Cao H., and Lee V W. Scattering and diffraction of plane P waves by circular-cylindrical canyons with variable depth-to-width ratio. Soil Dynam Earthquake Eng 9 (1990) 141-150
6. Lee V W., and Cao H. Diffraction of SV waves by circular cylindrical canyons of various depths. J Eng Mech-ASCE 115 (1989) 2035-2056
7. 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
8. Deresiewicz H. The effect of boundaries on wave propagation in a liquid-filled porous solid, I: reflection of plane waves at a free plane boundary (non-dissipative case). Bull Seismol Soc Am 50 4 (1960) 599-607
9. Deresiewicz H. The effect of boundaries on wave propagation in a liquid-filled porous solid, II: love waves in a porous layer. Bull Seismol Soc Am 51 1 (1961) 51-59
10. Deresiewicz H., and Rice J.T. The effect of boundaries on wave propagation in a liquid-filled porous solid, III: refection of plane waves at a free plane boundary (general case). Bull Seismol Soc Am 52 3 (1962) 595-625
11. Deresiewicz H. The effect of boundaries on wave propagation in a liquid-filled porous solid, IV: surface waves in a half-space. Bull Seismol Soc Am 52 3 (1962) 627-638
12. Deresiewicz H., and Skalak R. On uniqueness in dynamic poroelasticity. Bull Seismol Soc Am 53 4 (1963) 783-788
13. Deresiewicz H., and Rice J.T. The effects of boundaries on wave propagation in a liquid-filled porous solid, V: transmission across a plane interface. Bull Seismol Soc Am 54 1 (1964) 409-416
14. Deresiewicz H. The effect of boundaries on wave propagation in a liquid-filled porous solid, VI: love waves in a double surface layer. Bull Seismol Soc Am 54 1 (1964) 417-423
15. Deresiewicz H. The effect of boundaries on wave propagation in a liquid-filled porous solid, VII: surface waves in a half-space in the presence of a liquid layer. Bull Seismol Soc Am 54 1 (1964) 425-430
16. Deresiewicz H., and Wolf B. The effects of boundaries on wave propagation in a liquid-filled porous solid, VIII: reflection of plane waves at an irregular boundary. Bull Seismol Soc Am 54 5 (1964) 1537-1561
17. Deresiewicz H. The effect of boundaries on wave propagation in a liquid-filled porous solid, IX: love waves in a porous internal stratum. Bull Seis Soc Am 55 5 (1965) 919-923
18. Deresiewicz H., and Levy A. The effect of boundaries on wave propagation in a liquid-filled porous solid, X: transmission through a stratified medium. Bull Seismol Soc Am 57 3 (1967) 381-391
19. Yang J., and Sato T. Analytical study of saturation effects on seismic vertical amplification of a soil layer. Geotechnique 51 2 (2001) 161-165
20. Lin C.H., Lee V.W., and Trifunac M.D. The reflection of plane waves in a poroelastic half-space fluid saturated with inviscid fluid. Soil Dynam Earthqukae Eng 25 (2005) 205-223
21. Berryman J.G. Confirmation of Biot's theory. Appl Phys Lett 34 4 (1980) 382-384
22. Biot M.A., and Willis D.G. The elastic coefficients of the theory of consolidation. J Appl Mech 24 (1957) 594-601
23. Todorovska M.I., and Lee V.W. A note on scattering of Rayleigh waves by shallow circular canyons: analytical approach. Bull Indian Soc Earthquake Tech 28 2 (1991) 1-16
24. Lee V.W., and Karl J. On deformation near a circular underground cavity subjected to incident plane P waves. European J Earthquake Eng 7 1 (1993) 29-36
25. Lee V.W., and Karl J. Diffraction of SV waves by underground, circular, cylindrical cavities. Soil Dynam Earthquake Eng 11 (1992) 445-456
26. Liang J., Zhang Y., Gu X., and Lee V.W. Surface motion of circular-arc layered alluvial valley for incident plane SH waves. Chin J Geotech Eng 22 4 (2000) 396-401
27. Liang J., Yan L., and Lee V.W. Scattering of plane P waves by circular-arc layered alluvial valleys: an analytical solution. Acta Seismol Sinica 14 2 (2001) 176-195
28. Liang J., Yan L., and Lee V.W. Effect of a covering layer in a circular-arc canyon on incident plane SV waves. Acta Seismologica Sinica 14 6 (2001) 660-675
29. Davis C.A., Lee V.W., and Bardet J.P. Transverse response of underground cavities and pipes to incident SV waves. Earthquake Eng Struc Dynam 30 (2001) 383-410
30. Abramowitz M, Stegun IA. Handbook of mathematical functions, with formulas, graphs, and mathematical tables. New York: Dover; 1972. p. 355-389.
31. Liang J, You H, Lee VW. Scattering of SV waves by a canyon in a fluid-saturated, poroelastic layered half-space, modeled using the indirect boundary element method. Soil Dynamics and Eaarthquake Eng 2005; in press, doi:10.1016/j.soildyn.2006.01.012.