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ANALYTIC APPROACH FOR LOVE WAVE DISPERSION IN AN INHOMOGENEOUS LAYER LYING OVER AN IRREGULAR POROUS HALF-SPACE

Year 2019, Volume: 9 Issue: 3, 626 - 638, 01.09.2019

Abstract

The present work examines the possibility of Love wave dispersion in an irregular interface of two di erent media expressively as an inhomogeneous layer and porous half-space. Dispersion equation has been computed in a compact form following the expansion of transformation method, perturbation technique, Whittaker equation and its derivative. The dispersion equation coincides with the classical equation of Love type wave which agrees with the pre-established results. The graphs are sketched to show the e ect of porosity, irregularity and inhomogeneous parameters.

References

  • Ahmed, S.M., Dahab, S.A.(2010), Propagation of Love waves in an orthotropic granular layer under initial stress overlying semi infinite granular medium, J Vib Control. 16(12), pp. 1-15 .
  • Biot, M.A.(1956), Theory of propagation of elastic waves in a fluid saturated porous solid, I, Low frequency range, J. Acoust. Soc. Am., 28(2), pp. 168-178.
  • Biot, M.A.(1956), Theory of propagation of elastic waves in a fluid saturated porous solid, II, Higher frequency range, J. Acoust. Soc. Am., 28(2), pp. 169-191.
  • Chattopadhyay, A., Gupta, S., Sharma, V.K, Kumari,P.(2010), Propagation of shear waves in vis- coelastic medium of irregular boundaries, Acta Geophys., 58(2), pp. 195-214.
  • Chattaraj, R., Samal, S.K.(2013), Love waves in the fibre reinforced layer over a gravitating half-space, Acta Geophys., 61(5), pp. 1170-1183.
  • Gupta, S., Pramanik, A. (2015), Torsional surface wave in an inhomogeneous layer over a fluiid satu- rated porous half space, J Mech. , 32(1), pp. 113-121.
  • Gubbins, D. (1990), Seismology and plate tectonics, Cambridge University Press.
  • Gharoi, A.P., Kamal, S.K., Mahanti, N.C.(2010), Love waves in a fluid saturated porous half space under a rigid boundary and lying over an elastic half space under gravity, Appl Math Model., 34(7), pp. 1873-1883.
  • Kundu, S., Gupta, S., Chatopadhyay, A., Majhi, D.K.(2013), Love wave propagation in porous rigid layer lying over an initially stressed half space, International journal of applied physics and mathemat- ics,3(2), pp. 140-142.
  • Ke, L-L, Wang, Y.S., Zhang, Z.M.(2006), Love waves in an inhomogeneous fluid saturated porous half space with linearly varying properties, Soil Dyn Earthq Eng., 26(6-7), pp. 574-581.
  • Son, M.S., Kang, Y.J. (2012), Propagation of shear waves in a poroelastic layer constrained between two elastic layer, Appl Math Model., 36(8), pp. 3685-3695.
  • Singh, S.S.(2011), Love wave at a layer medium bounded by irregular boundary surfaces, J Vib Control., 17(5), pp. 789-795.
  • Tuncay, K., Corapcioglu, M.Y. (1996), Body waves in poroelastic media saturated by two immiscible fluids, J. Geophys. Res., 101(B11), pp. 149-159.
  • Vaishnav, P.K., Kundu, S., Gupta, S., Saha, A.(2016), Propagation of Love type wave in porous medium over an orthotropic semi infinite medium with rectangular irregularity, Math Probl Eng.
  • Wang, Y., Zhang, Z.M.(1998), J. Acoust. Soc. Am., 103(2), pp. 659-701.
Year 2019, Volume: 9 Issue: 3, 626 - 638, 01.09.2019

Abstract

References

  • Ahmed, S.M., Dahab, S.A.(2010), Propagation of Love waves in an orthotropic granular layer under initial stress overlying semi infinite granular medium, J Vib Control. 16(12), pp. 1-15 .
  • Biot, M.A.(1956), Theory of propagation of elastic waves in a fluid saturated porous solid, I, Low frequency range, J. Acoust. Soc. Am., 28(2), pp. 168-178.
  • Biot, M.A.(1956), Theory of propagation of elastic waves in a fluid saturated porous solid, II, Higher frequency range, J. Acoust. Soc. Am., 28(2), pp. 169-191.
  • Chattopadhyay, A., Gupta, S., Sharma, V.K, Kumari,P.(2010), Propagation of shear waves in vis- coelastic medium of irregular boundaries, Acta Geophys., 58(2), pp. 195-214.
  • Chattaraj, R., Samal, S.K.(2013), Love waves in the fibre reinforced layer over a gravitating half-space, Acta Geophys., 61(5), pp. 1170-1183.
  • Gupta, S., Pramanik, A. (2015), Torsional surface wave in an inhomogeneous layer over a fluiid satu- rated porous half space, J Mech. , 32(1), pp. 113-121.
  • Gubbins, D. (1990), Seismology and plate tectonics, Cambridge University Press.
  • Gharoi, A.P., Kamal, S.K., Mahanti, N.C.(2010), Love waves in a fluid saturated porous half space under a rigid boundary and lying over an elastic half space under gravity, Appl Math Model., 34(7), pp. 1873-1883.
  • Kundu, S., Gupta, S., Chatopadhyay, A., Majhi, D.K.(2013), Love wave propagation in porous rigid layer lying over an initially stressed half space, International journal of applied physics and mathemat- ics,3(2), pp. 140-142.
  • Ke, L-L, Wang, Y.S., Zhang, Z.M.(2006), Love waves in an inhomogeneous fluid saturated porous half space with linearly varying properties, Soil Dyn Earthq Eng., 26(6-7), pp. 574-581.
  • Son, M.S., Kang, Y.J. (2012), Propagation of shear waves in a poroelastic layer constrained between two elastic layer, Appl Math Model., 36(8), pp. 3685-3695.
  • Singh, S.S.(2011), Love wave at a layer medium bounded by irregular boundary surfaces, J Vib Control., 17(5), pp. 789-795.
  • Tuncay, K., Corapcioglu, M.Y. (1996), Body waves in poroelastic media saturated by two immiscible fluids, J. Geophys. Res., 101(B11), pp. 149-159.
  • Vaishnav, P.K., Kundu, S., Gupta, S., Saha, A.(2016), Propagation of Love type wave in porous medium over an orthotropic semi infinite medium with rectangular irregularity, Math Probl Eng.
  • Wang, Y., Zhang, Z.M.(1998), J. Acoust. Soc. Am., 103(2), pp. 659-701.
There are 15 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

S. Gupta This is me

S. Pramanik This is me

- Smita This is me

A. Pramanik This is me

Publication Date September 1, 2019
Published in Issue Year 2019 Volume: 9 Issue: 3

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