Wettability alteration may be a time-dependent process controlled by exposure to a reactive fluid, leading to dynamic changes in constitutive functions over time. New dynamic models for capillary pressure and relative permeability have been developed based on pore-scale simulation of displacement processes where the contact angle changes dynamically. The form of the dynamic models is simple and the parameters can be easily predicted from a laboratory data measuring contact angle change over time. A convergent and robust iterative linearization scheme with a stabilization term was developed for simulation of multiphase flow with a capillary pressure function that is non-local in time. The impact of dynamic wettability alteration on migration and trapping will be studied for realistic CO2 storage scenarios.