In this research, the gas-liquid adsorption process in the intermediate fiber membrane contactor with the heterogeneous flow pattern in the dry state is modeled. Two-dimensional mathematical modeling is intended to solve the equilibrium equations of mass. Pure water is used as the liquid phase in the membrane duct and pure CO2 is used as the gas phase in the shell. Unlike other studies that consider the contactor as three areas of shell, membrane and tube, in this modeling by dividing the asymmetric membrane contactor into four parts of the shell, the dense layer of membrane surface, membrane block and tube, For the first time, the effect of dense surface layer of asymmetric membranes with different porosity compared to membrane mass was considered in the model.