The long-tem thermally elastic responses of a saturated elastic stratum containing a deep point/line heat source of constant strength are studied in this paper. To simulate the stratified earth medium, the soil mass is modeled as anisotropic with properties differing in the horizontal and vertical directions. on the basis of the fundamental solutions caused by a deep point heat source, analytic solutions of the ground deformation,pore water pressure distribution,effective stresses and temperature changes of the porous medium due to the deep line heat source are presented using the appropriate line integral techniquis. keywords: point heat source,Line heat source,fundamental solution,closed-form solution