This paper summarises an analytical and numerical study of combined heat and mass transfer driven by buoyancy, due to temperature and concentration variations in saturated anisotropic porous media. The left and right vertical walls are submitted to horizontal thermal and compositional gradients, while the horizontal top and bottom walls are adiabatic and impermeable. The momentum conservation equation is Brinkman-extended Darcy equation, and the set of coupled equations is solved using the classical finite volume method. In the case of positive buoyancy number, numerical simulations are reported in terms of average heat (Nu) and mass transfer (Sh) across the cavity for A = 1, 10³ < Ra* < 10⁴, Pr = 0.71, 10^-3 ≤ K^r ≤ 10³, 1 ≤ Le ≤ 10. The results show the existence of three regimes: diffusive one for low values of K^r convective regime where Nu and Sh increase with increasing K^r and fully channelling convective regime where Nu and Sh become independent from K^r and reach a constant values Nu_max and Sh_max for high values of permeability ratio. The different regimes depend on the Darcy number Da, the porous thermal Rayleigh number Ra*, the Lewis number Le and the buoyancy forces ratio N. In the boundary layer regime for the Darcy`s case, a scale analysis is applied to predict the evolution of the Nusselt and Sherwood numbers with hydraulic anisotropy. A good agreement of the numerical simulations and the analytical predictions is obtained and correlation is established.