International Research journal of Management Science and Technology

  ISSN 2250 - 1959 (online) ISSN 2348 - 9367 (Print) New DOI : 10.32804/IRJMST

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SURFACE WAVE PROPAGATION POROUS SOLIDS SATURATED BY MULTIPHASE FLUIDS

    1 Author(s):  SUMAN

Vol -  2, Issue- 2 ,         Page(s) : 169 - 176  (2011 ) DOI : https://doi.org/10.32804/IRJMST

Abstract

Following the work of Fillunger and Von Terzaghi as described in section 1.2, Biot (1941) generalized it for three-dimensional problems. Later Biot (1956a, b) developed the dynamic theory for wave propagation in fluid-saturated porous media. He used Lagrange’s equations to derive a set of coupled differential equations that govern the motions of solid and fluid phases. Biot (1962a, b) extended this theory in the wider context of mechanics and obtained the new and simplified derivations of the funda- mental equations of propagation in poroelastic solid. An exact procedure was provided for the evaluation of the dynamic properties of the fluid motion relative to the solid.

Shearer, P. M. (2009). Introduction to seismology. Cambridge University Press, Cambridge.
Shekhar,  S.  & Parvez,  I.  A. (2010).  Effect  of  rotation,  magnetic  field  and  initial stresses on propagation of plane waves in transversely isotropic dissipative half space. Applied Mathematics, 4, 107-113.
Sheriff, R. E. & Geldart  L. P. (1995). Exploration  seismology, history, theory and data acquisition. Cambridge University Press, Cambridge, 2nd Edition.
Singh, A. K., Parween, Z., Das, A. & Chattopadhyay, A. (2017). Influence of loosely- bonded sandwiched initially stressed visco-elastic layer on torsional wave propagation. Journal of Mechanics, 33(03), 351-368.
Singh, B.  & Sindhu, R. (2011). Propagation of waves at an interface between a liquid half-space   and   an   orthotropic   micropolar   solid   half-space.   Advances  in Acoustics and Vibration, Article ID 159437, 5 pages.
Singh,  I.,  Madan,  D.  K.  &  Gupta,  M.  (2010).  Propagation  of  elastic  waves  in prestressed medium. Journal  of Applied Mathematics, Article ID-817680, 1-11.
Steeb,  H.,  Kurzeja,  P.  S.  &  Schmalholz,  S.  M.  (2012).  Wave  propagation  in unsaturated porous media. Acta Mechanica, 225(8), 2435–2448.
Stokes, G. G. (1849). On the theories of the internal friction of fluids in motion and of equilibrium and motion of elastic solids. Transactions  of Cambridge Philosophical  Society, 8, 287-319.
Stoneley,  R.  (1924).  Elastic  waves  at  the  surface  of  separation  of  two  solids.Proceedings of Royal Society of London, 106, 416-428.
Udias, A. (1999). Principles of seismology. Cambridge University Press, Cambridge.

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