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The heat and mass transfer through porous building envelope has an important impact on the hydrothermal performance of building enclosure, energy consumption and indoor environment. This article proposes a lattice Boltzmann method to simulate the double-diffusive mixed convection, fluid-solid conjugate heat transfer and adsorption process by porous media in an enclosure simultaneously. A double distribution lattice-Boltzmann model is established to implement heat transfer between fluid and solid and the adsorption behavior of porous media. The numerical investigations are performed at the pore scale with the considerations of interparticle, interfacial, and intraparticle heat and mass transfer characteristics. At Richardson number Ri=1.0, Lewis number Le=10, Buoyancy ratio Br=1.0, Prandtl number Pr=0.7, Grashof number Gr=104 and porosity ɛ=0.79, investigating absorption behaviour and time consumption concluded that increasing particle size led to a moderating adsorption rate and more time consumed to approach the saturation adsorption. Streamlines, isotherms, isoconcentrations, and the average Nusselt number Nuav and Sherwood number Shav also reported in detail.