The dissertation presents a study of the resolution of thermo-hydraulic coupling problems, through the use of numerical techniques. The study has the objective the implementations validation of the temperature gradients effects in the moisture flux. For this, the program UNSATCHEM-2D is used to simulate the flow of water in mediums of variable saturation to two dimensions, transport of heat, transport of CO2 and solute transport. The program developed by Simunek and Suarez (1993), has open code (written in Fortran 77), where the governing equations of flow and transport of heat are solved for the method of the finite elements. Starting from the original program UNSATCHEM-2D, alterations were carried out in the code in order to allow the partial coupling (staggered) of moisture flow and heat flow as described by de Vries (1958). In parallel, changes were developed in the software MTool (Tecgraf/PUC-Rio), used as pre- and posprocessor. Later, the modifications carried out in the program were validated by the comparison of the numeric solution results with experimental results starting from a column test (Bach, 1989), with acceptable results. Concluding, simulations are presented with internal and external sources of heat together with the use of atmospheric boundary conditions, one that simulates covers for mining wastes.