Abstract

PurposeThe purpose of this paper is establish a model of the equations of a two‐dimensional problem of fluid saturated porous medium for a half space.Design/methodology/approachA state space approach has been applied to solve the problem. Normal mode analysis is used to obtain the exact expressions for normal stress, tangential stress and pore pressure.FindingsA computer programme is developed and numerical results are obtained for normal stress, tangential stress and pore pressure and depicted graphically for a special model. A particular case of interest has also been deduced from the present investigation.Originality/valueThe disturbance due to force in normal and tangential direction and porosity effect have been observed by the method of normal mode analysis.

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