Abstract: Systems and methods generate and use a digital twin in a hydrocarbon system. The systems and methods can perform the following operations: (1) performing a plurality of simulations in a hyperdimensional space to generate outputs; (2) using the outputs of the plurality of simulations to generate one or more reduced order models (ROMs) using a regression technique or a machine learning technique; (3) generating a digital twin of the hydrocarbon system by instantiating the one or more ROMs at an operational point of the hydrocarbon system, and configuring the digital twin to use real-time data obtained from the hydrocarbon system; and (4) estimating values of one or more variables of the hydrocarbon system in real-time using the digital twin.