### ASA 128th Meeting - Austin, Texas - 1994 Nov 28 .. Dec 02

## 3pSA9. Wave propagation in thermoporoelastic plate.

**H. S. Paul
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V. M. Murali
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*Dept. of Math., Indian Inst. of Technol., Madras 600 036, India
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Governing equations for wave propagation of a thermoporoelastic plate are
derived. The material obeys the theory of Pecker and Dersiewicz [C. Pecker and
H. Dersiewicz, Acta Mech. 16, 45--64 (1973)]. The temperatures of solid and
liquid phases are assumed to be different. Due to temperature difference in
both phases at every point in the medium, there is a coupling parameter in heat
conduction equations. The frequency equation is obtained for stress-free and
thermally insulated boundary conditions. Numerical results are calculated for
isothermal and adiabatic wave propagation corresponding to kerosene filled
sandstone. Phase velocities and the attenuation factor are plotted against
frequencies for symmetric and antisymmetric mode. In an isothermal case, the
phase velocity oscillates sharply for the symmetric mode but it is not so sharp
for the antisymmetric mode. But the behavior of the attenuation factor is
reverse. In the adiabatic case, the phase velocity oscillates very less, up to
frequency of 2 Hz; afterwards, it oscillates for both modes. In the attenuation
factor, there is rapid oscillation throughout for the antisymmetric mode but it
is less in the symmetric mode. Oscillation is almost absent between 2.5 and 4.5
Hz in the symmetric mode. The phase velocity is higher for the isothermal case
than the adiabatic case whereas it is opposite for the attenuation factor.