The natural enhanced weathering (EW) must be significantly accelerated by optimizing the local triple-phase environment prior to practical large-scale carbon dioxide removal (CDR). The implementation of stirred-slurry reactor (SSR) for enhancing mass transport and reaction rates of the EW-based CO2 capture process has not yet been reported. We conducted a hybrid modelling approach, in which mechanistic and data-driven models are integrated, for the scaled-up batch SSRs designed for EW-based CO2 capture. It is revealed that CO2 mass transport into the aqueous phase has significant impact on the overall capture performance. The scaled-up batch system is found to perform comparably to the continuous system in terms of CO2 capture rate, energy and water consumption. The energy consumption for gas enrichment in the batch system is expected to be less than 50% of that in continuous systems. Multi-objective optimisation reveals the efficacy and accuracy of the hybrid modeling within low energy consumption ranges.