Dispersion of Love Wave Propagating in Irregular Anisotropic Porous Stratum under Initial Stress
Publication: International Journal of Geomechanics
Volume 13, Issue 4
Abstract
Propagation of a Love wave in an initially stressed fluid-saturated anisotropic porous layer with an irregular boundary sandwiched between two isotropic half-spaces has been studied. The irregularity is assumed to be rectangular, and the perturbation method is used to obtain the displacement field in the porous layer. Finally, the dispersion relation for the assumed model is obtained, and the result is compared with those derived for the flat layer theory. The effect of porosity, initial stress, and irregularity of the porous layer in phase velocity is studied and shown graphically.
Get full access to this article
View all available purchase options and get full access to this article.
References
Bhattacharya, J. (1962). “On the dispersion curve for Love waves due to irregularity in the thickness of the transversely isotropic crustal layer.” Beitr. Geophys, 71, 324–333.
Biot, M. A (1956a). “Theory of elastic waves in a fluid-saturated porous solid: I. Low frequency range.” J. Acoust. Soc. Am. 28(1), 168–178.
Biot, M. A. (1956b). “Theory of elastic waves in a fluid-saturated porous solid: II. High frequency range.” J. Acoust. Soc. Am., 28(2), 179–191.
Chattopadhyay, A., et al. (2010). “Effects of irregularity and anisotropy on the propagation of shear waves.” Int. J. Eng. Sci. Technol., 2(1), 116–126.
Chattopadhyay, A., and De, R. K. (1983). “Love wave in a porous layer with irregular interface.” Int. J. Eng. Sci., 21(11), 1195–1203.
Chattopadhyay, A., and Pal, A. K. (1983). “Dispersion curves of SH waves caused by irregularity in the prestressed internal stratum.” Acta Geophys. Pol., 31(1), 37–49.
Deresiewicz, H. (1964a). “The effect of boundaries on wave propagation in a liquid-filled porous solid: II. The Love waves in a double surface layer.” Bull. Seismol. Soc. Am., 54, 417–423.
Deresiewicz, H. (1964b). “The effect of boundaries on wave propagation in a liquid-filled porous solid: IX. The Love waves in a porous internal stratum.” Bull. Seismol. Soc. Am., 54, 919–923.
Eringen, A. C. and Samuels, C. J. (1959). “Impact and moving loads on a slightly curved elastic half space.” J. Appl. Mech., 26, 491–498.
Ewing, W. M., Jardetzky, W. S., and Press, F. (1957). Elastic waves in layered media, McGraw Hill, New York.
Ghorai, A. P., Samal, S. K., and Mahanti, N. C. (2010). “Love waves in a fluid-saturated porous layer under a rigid boundary and lying over an elastic half-space under gravity.” Appl. Math. Modell., 34(7), 1873–1883.
Guo, Y., and Chen, W. (2008). “On free wave propagation in anisotropic layered media.” Acta Mechan. Sol. Sin., 21(6), 500–506.
Jinchi, L., Ahmed, E., Linjun, Y., Law K. H., and Conte J. P. (2011). “Large-scale numerical modeling.” Geotech. Earthq. Eng., 11(6), 490–503.
Ke, L. L., Wang, Y. S., and Zhang, Z. M. (2006). “Love waves in an inhomogeneous fluid saturated porous layered half-space with linearly varying properties.” Soil. Dyn. Earthq. Eng., 26(6–7), 574–581.
Kuznetsov, S. V. (2006). “Love waves in layered anisotropic media.” J. Appl. Math. Mech., 70(1), 116–127.
Mal, A. K. (1962). “On the frequency equation for Love waves due to abrupt thickening of the crustal layer.” Geofis. Pura Appl., 52(1), 59–68.
Misra, A., and Marangos, O. (2011). “Rock-joint micromechanics: Relationship of roughness to closure and wave propagation.” Int. J. Geomech., 11(6), 431–439.
Pilant, W. L. (1979). Elastic waves in the earth, Elsevier, Amsterdam, Netherlands.
Semblat, J. F. (2011). “Modeling seismic wave propagation and amplification in 1D/2D/3D linear and nonlinear unbounded medium.” Int. J. Geomech., 11(6), 440–448.
Sinha, N. (1967). “Propagation of Love waves in a non-homogeneous stratum of finite depth sandwiched between two semi-infinite isotropic media.” Pure Appl. Geophys., 67(1), 65–70.
Stoneley, R. (1924). “The elastic waves at the surface of separation of two solids.” Proc. Roy. Soc. (London), A, 106, 416–428.
Wang, Y. S., and Zhang, Z. M. (1998). “Propagation of the Love waves in a transversely isotropic fluid-saturated porous layered half-space.” J. Acoust. Soc. Am., 103(2), 695–701.
Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 13 • Issue 4 • August 2013
Pages: 402 - 408
Copyright
© 2013 American Society of Civil Engineers.
History
Received: May 15, 2011
Accepted: Jun 5, 2012
Published online: Aug 9, 2012
Published in print: Aug 1, 2013
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.