SOME SOLUTIONS FOR STATIC AND PSEUDO-STATIC DEFORMATION IN LAYERED, NONISOTHERMAL, POROUS MEDIA

Solution methods for a variety of problems in layered, nonisothermal media are developed. Deformation, stress, and temperature fields, induced when internal sources of strain and heat are embedded in linear elastic and linear fluid infiltrated poroelastic media, are calculated. Since in the limit considered, the energy equation is decoupled from the equation of momentum balance, the solution techniques are easily extended to the case of a time-dependent source for heat supply. The solutions are generated using standard propagator matrix techniques and are given in the form of Fourier-Bessel integrals. By integrating the response functions over an appropriate surface or source volume, the deformation, stress, and temperature fields for both solid and fluid phases can be derived for finite source regions.

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