Effect of Initial Stress on Propagation of Love Waves in an Anisotropic Porous Layer
محورهای موضوعی : EngineeringS Gupta 1 , A Chattopadhyay 2 , D.K Majhi 3
1 - Department of Applied Mathematics, Indian School of Mines
2 - Department of Applied Mathematics, Indian School of Mines
3 - Department of Applied Mathematics, Indian School of Mines
کلید واژه: Phase velocity, Love wave, Anisotropic, Initial stress, Dispersion equation,
چکیده مقاله :
In the present paper, effect of initial stresses on the propagation of Love waves has been investigated in a fluid saturated, anisotropic, porous layer lying in welded contact over a prestressed, non-homogeneous elastic half space. The dispersion equation of phase velocity has been derived. It has been found that the phase velocity of Love waves is considerably influenced by porosity and anisotropy of the porous layer, inhomogeneity of the half-space and prestressing present in the media, the layer and the half-space. The effect of the medium characteristics on the propagation of Love waves has been discussed and results of numerical calculations have been presented graphically.
[1] Biot M.A., 1955, Theory of elasticity and consolidation for a porous anisotropic solid, Journal of Applied Physics 26: 182-185.
[2] Biot M.A., 1956, Theory of deformation of a porous viscoelastic anisotropic solid, Journal of Applied Physics 27: 459-467.
[3] Biot M.A., 1956, Theory of propagation of elastic waves in fluid saturated porous solid, Journal of the Acoustical Society of America 28: 168-178.
[4] Biot M.A., 1962, Mechanics of deformation and acoustic propagation in porous media, Journal of Applied Physics 33: 1482-1498.
[5] Deresiewicz H., 1960, The effect of boundaries on wave propagation in a liquid filled porous solid-I, Bulletin of the Seismological Society of America 50: 599-607.
[6] Deresiewicz H.,1961,The effect of boundaries on wave propagation in a liquid filled porous solid-II, Love waves in a porous layer, Bulletin of the Seismological Society of America 51: 51-59.
[7] Deresiewicz H., 1962, The effect of boundaries on wave propagation in a liquid filled porous solid-IV, Bulletin of the Seismological Society of America 52: 627-638.
[8] Deresiewicz H., 1964, The effect of boundaries on wave propagation in a liquid filled porous solid-VI, Bulletin of the Seismological Society of America 54: 417-423.
[9] Deresiewicz H., 1965, The effect of boundaries on wave propagation in a liquid filled porous solid-IX, Bulletin of the Seismological Society of America 55: 919-923.
[10] Bose S.K., 1962, Wave propagation in marine sediments and water saturated soils, Pure and Applied Geophysics 52: 27-40.
[11] Deresiewicz H., Rice J.T. 1962, The effect of boundaries on wave propagation in a liquid porous solid-III, Bulletin of the Seismological Society of America 52, 595-625.
[12] Rao R.V.M., Sarma R.K., 1978, Love wave propagation in poro-elasticity, Defence Science Journal 28(4): 157-160.
[13] Burridge R., Vargas C.A., 1979, The fundamental solution in dynamic poro-elasticity, Geophysical Journal of the Royal Astronomical Society 58: 61-90.
[14] Love A.E.H., 1944, A Treatise on Mathematical Theory of Elasticity, Dover Publication, New York, Fourth Edition.
[15] Nowinski J.L, 1977, The Effect of High Initial Stress on the Propagation of Love Wave in an isotropic Elastic Incompressible Medium, in: Some Aspects of Mechanics of Continua (a book dedicated as a tribute to the memory of Prof. B.Sen), Part 1: 14-28, Jadavpur University, India.
[16] Chattopadhyay A., De R.K., 1983, Love type waves in a porous layer with irregular interface, International Journal of Engineering. Science 21: 1295-1303.
[17] Weiskopf W.H., 1945, Stresses in soils under a foundation, Journal of the Franklin Institute 239: 445-465.
[18] Biot M.A., 1965, Mechanics of Incremental Deformation, John Wiley and Sons Inc., New York.
[19] Dey S., Roy N., Dutta A.,1989, Propagation of Love waves in an initially stressed anisotropic porous layer lying over a pre-stressed non-homogeneous elastic half-space; Acta Geophysica Polonica 37(1): 21-36.
[20] Ghasemi H., Zare M., Fukushima Y., 2008, Ranking of several ground-motion models for seismic hazard analysis in Iran, Journal of Geophysics and Engineering 5(3), 301-310.
[21] Ghasemi H., Zare M., Fukushima Y., Koketsu K., 2009, An empirical spectral ground-motion model for Iran, Journal of Seismology 13: 499-515.
