Sedimentary geology focuses on the formation and evolution of the Earth’s surface. Various physical, chemical and biological processes are responsible for supplying and distributing sediments. The presence of sedimentary rocks of siliciclastic and carbonate origins are dominant in subaqueous environments. Carbonate rocks are originated from biochemical processes involving the deposition and decomposition of calcium rich organism such as algae, shells and corals. These types of rocks are of great interest for the oil and gas industry due to their potential to form good hydrocarbon reservoirs. Therefore, this work studies the formation and evolution of carbonate platforms, most common in clear and hot waters. A deterministic mathematical model is proposed to represent the evolution of carbonate platforms given a set of entry data like initial subsidence, growth rates and sea level fluctuations. Based on this mathematical model a tridimensional carbonate sedimentation computational simulator, CarbSM, was developed taking into account three carbonate factories: platform interior, platform margin and deep-water carbonates. These environments are linked to maximum in situ growth rates and the resulting rates are obtained through a series of restriction functions, such as: depth, marine conditions and clastic sedimentation. This way, the developed tool can simulate the evolution of carbonate platforms within diverse geological scenarios. CarbSM offers an extensive user interface and uses computer graphics rendering techniques for data input and interactive tridimensional visualization of the simulated models.