Quasi-Static Deformation Caused by Seismic and Heat Sources in a Thermoelastic Solid in Contact with a Porous Solid

Abstract

A study of deformation, with quasi-static assumption, of a medium, which consists of thermoelastic solid and poroelastic solid half-spaces, due to seismic sources and heat source in thermoelastic solid is carried out.  The formulated quasi-static problem is solved using Airy’s stress function approach. The expressions of Airy’s stress function and temperature difference function in an unbounded thermoelastic medium due to various types of seismic sources and heat source are obtained. For line forces, dip-slip dislocation and line heat source in the thermoelastic solid medium, the solutions in the form of displacements, stresses, pore pressure and temperature difference function are obtained. For a vertical dip-slip dislocation, analytical solutions are derived for particular cases of adiabatic and isothermal conditions in the thermoelastic medium and undrained and drained conditions in the poroelastic medium.  The results, so obtained, have been verified by making comparison with earlier results. Numerical results for displacements, pore pressure, temperature difference function and stresses have also been computed for vertical dip-slip fault. Temperature profile and stresses contours have also been plotted for line heat source.