1. A method of operating a hydrocarbon bearing field, comprising: drilling a plurality of wells in the hydrocarbon bearing field, performing open hole logging in a subset of the wells, performing cased hole logging in substantially all of the wells including the subset of wells, using open hole logging data and cased hole logging data from the subset of wells to train a predictive model to produce synthetic open hole data in response to inputs of cased hole data, and using the trained predictive model and cased hole data from the wells to produce synthetic open hole data wherein the subset of wells comprises less than one-half of the plurality of wells.