IDENTIFICATION OF SPATIALLY DISCONTINUOUS PARAMETERS IN SECOND-ORDER PARABOLIC SYSTEMS.
Conference Paper
Overview
Overview
abstract
Quite a few history-matching algorithms have been developed for petroleum reservoirs in the past two decades with the implicit or explicit assumption that the unknown parameters are continuous functions of position. However, very little attention has been given to naturally fractured reservoirs, where frequently encountered in practice, primarily because of the complexity involved in the reservoir description. In fractured reservoirs the unknown parameters are discontinuous functions of position; the location of the faults is usually unknown. In the present work we introduce a new piecewise-regularization approach for the identification of spatially discontinuous parameters in second-order parabolic equations, along with a piecewise cubic spline representation of parameters. The identification methods based on these approaches are described.
