In the present study, the authors describe a method for a coupled analysis of saturated porous media together with the consideration of convection using the mixture theory, in which density and the coefficient of kinematic viscosity are treated to be depending on temperature variation. The density of water also considered to be a function of pore pressure. Then we performed a series of analyses for some typical situations. The results emphasis the importance of consideration of convection in heat transport. We further checked the effect of temperature and pore pressure on the density of water. It should be noted that the classical Boussinesq approximation implies the density depends only on the temperature change. However, we found out that the results are not different from those of the classical Boussinesq approximation.