Transference of SH-Waves in Fluid Saturated Porous Medium Sandwiched Between Heterogeneous Half-Spaces

Subject Areas : Engineering

S.A Sahu ¹ , S Chaudhary ² , P.K Saroj ³ , A Chattopadhyay ⁴

1 - Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad, India
2 - Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad, India
3 - Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad, India
4 - Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad, India

Received: 2017-06-28 Accepted : 2017-08-25 Published : 2017-09-01

Keywords:

References:

[1] Biot M.A., 1956, Theory of propagation of elastic waves in a fluid saturated porous solid I: Low frequency range, The Journal of the Acoustical Society of America 28(2): 168-178.
[2] Biot M.A., 1956, Theory of propagation of elastic waves in a fluid saturated porous solid II: High frequency range, The Journal of the Acoustical Society of America 28(2): 179-191.
[3] Biot M.A., 1956, Propagation of elastic waves in a liquid filled porous solid, Journal of Applied Physics 27: 459-467.
[4] Bhattacharya S.N., 1970, Exact solution of SH-wave equation for inhomogeneous media, Bulletin of the Seismological Society of America 60(6): 1847-1859.
[5] Chattopadhyay A., De R.K., 1983, Love type waves in a porous layer with irregular interface, International Journal of Engineering Science 21: 1295-1303.
[6] Chattopadhyay A., Chakraborty M., Mahata N.P., 1986, SH waves in a porous layer of non uniform thickness, Trans Engineers 34: 3-13.
[7] Dey S., 1987, Longitudinal and shear waves in an elastic medium with void pores, Proceedings of the Indian National Science Academy, India.
[8] Gubbins D., 1990, Seismology and Plate Tectonics, Cambridge University, Press Cambridge, New York.
[9] Pradhan A., Samal S.K., Mahanti N.C., 2002, Shear waves in a fluid saturated elastic plate, Sadhana 27(6): 595-604.
[10] Kumar R., Hundal B.S., 2003, Wave propagation in a fluid saturated incompressible porous medium, Indian Journal of Pure and Applied Mathematics 4: 651-665.
[11] Edelman I., 2004, Surface wave in porous medium interface: low frequency range, Wave Motion 39: 111-127.
[12] Chattopadhyay A., Kumari P., 2007, Propagation of shear waves in an anisotropic medium, International Journal of Applied Mathematics and Science 55(1): 2699-2706.
[13] Roy A., 2009, SH wave propagation in laterally heterogeneous medium, Springer Proceedings in Physics 126: 335-338.
[14] Gaur V.K., Rani S., 2010, Surface wave propagation in non-dissipative porous medium, International Journal of Educational Administration 2: 443-454.
[15] Chattopadhyay A, Gupta S, Sharma V.K., Kumari P, 2010, Effect of point source and heterogeneity on the propagation of SH-waves, International Journal of Applied Mathematics and Mechanics 6: 76-89.
[16] Samal S.K., Chattaraj R., 2011, Surface wave propagation in fiber-reinforced anisotropic elastic layer between liquid saturated porous half space, Acta Geophysica 59(3): 470-482.
[17] Kakar R, Kakar S, 2012, Propagation of love waves in non-homogeneous elastic media, Journal of Academia and Industrial Research 1: 61-67.
[18] Sahu S.A., Saroj P.K., Dewangan N., 2014, SH-waves in viscoelastic heterogeneous layer over half-space with self-weight, Archive of Applied Mechanics 84: 235-245.
[19] Kakar R, 2015, SH-wave velocity in a fiber-reinforced anisotropic layer overlying a gravitational heterogeneous half-space, Multidiscipline Modeling in Materials and Structures 11(3): 386-400.
[20] Ewing W.M., Jardetzky W.S., Press F., 1957, Elastic Waves in Layered Media, McGraw-Hill, New York.
[21] Chattopadhyay A., Samal S.K., Banerjee D., 2002, Propagation of shear waves in fluid saturated porous layer with initial stress, Acta Ciencia Indicia 28(3): 423-430.
[22] Kundu S., Gupta S., Majhi D.K., 2013, Love wave propagation in porous rigid layer lying over an initially stressed half-space, International Journal of Applied Physics and Mathematics 3(2): 140-142.
[23] Kundu S., Manna S., Gupta S., 2014, Love wave dispersion in pre-stressed homogeneous medium over a porous half-space with irregular boundary surfaces, International Journal of Solid and Structures 51: 3689-3697.