Identification of spatially discontinuous parameters in second-order parabolic systems by piecewise regularization

A novel piecewise regularization approach has been developed for the identification of spatially discontinuous parameters in second-order parabolic systems. First, the identification approach is rigorously formulated in a functional analytic framework. Then, the theoretical results are applied to the history-matching of one-dimensional fractured reservoirs. The performance of the proposed algorithm is evaluated by numerical experiments.