“…In a reservoir history-matching problem, the model operator is typically the reservoir simulation model, which, given the input forcing and a parameterization, which defines the model, simulates the produced fluid rates. Some recent applications use a full Fast-Model-Update workflow [7,8] where the model workflow can also contain, e.g., a geological forward model, a reservoir simulation model, and a seismic forward model, which, given the inputs to the geological description, predicts the production of oil, water, gas, and the seismic response from the reservoir. Given a set of input parameters, x, the prediction of y is precisely determined by the model in Equation (1).…”