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Purpose

The 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/approach

A 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.

Findings

A 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/value

The 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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