Geomechanics and Engineering

  • 제15권1호
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  • Pages.645-657
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  • 2018
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  • 2005-307X(pISSN)
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  • 2092-6219(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Torsional waves in fluid saturated porous layer clamped between two anisotropic media

  • Gupta, Shishir (Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines)) ;
  • Kundu, Santimoy (Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines)) ;
  • Pati, Prasenjit (Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines)) ;
  • Ahmed, Mostaid (Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines))
  • 투고 : 2017.07.25
  • 심사 : 2017.08.19
  • 발행 : 2018.05.20
⟨ 이전 논문 다음 논문 ⟩

초록

The paper aims to analyze the behaviour of torsional type surface waves propagating through fluid saturated inhomogeneous porous media clamped between two inhomogeneous anisotropic media. We considered three types of inhomogeneities in upper anisotropic layer which varies exponentially, quadratically and hyperbolically with depth. The anisotropic half space inhomogeneity varies linearly with depth and intermediate layer is taken as inhomogeneous fluid saturated porous media with sinusoidal variation. Following Biot, the dispersion equation has been derived in a closed form which contains Whittaker's function and its derivative, for approximate result that have been expanded asymptotically up to second term. Possible particular cases have been established which are in perfect agreement with standard results and observe that when one of the upper layer vanishes and other layer is homogeneous isotropic over a homogeneous half space, the velocity of torsional type surface waves coincides with that of classical Love type wave. Comparative study has been made to identify the effects of various dimensionless parameters viz. inhomogeneity parameters, anisotropy parameters, porosity parameter, and initial stress parameters on the torsional wave propagation by means of graphs using MATLAB. The study has its own relevance in connection with the propagation of seismic waves in the earth where fluid saturated poroelastic layer is present.

키워드

과제정보

연구 과제번호 : Study of torsional wave in anisotropic and non-homogeneous media

연구 과제 주관 기관 : Council of Scientific and Industrial Research (CSIR)

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