ANALYTICAL SOLUTIONS OF STATIONARY COUPLED THERMO-HYDRO-MECHANICAL PROBLEMS

Semi-analytical or closed analytical solutions of the stationary thermo-hydro-mechanical fields can be obtained if the fields are stationary and the geometry is cylindrical or spherical. The fundamental difficulty of the problem is the non-linear convective term that appears in the heat transport equation. If Peclet's number is small, the problem can be treated as a regular perturbation problem, and the zeroth and first order perturbation terms are rather easily derived in closed form. If the strain is plane, the choice of boundary conditions at the outer boundary has a strong influence on the solution. The difference between the solutions for plane and spherical strain is considerable, not only far from but also near the heat source.