A fast inverse solver for the filtration function for flow in porous media
J.R. Rodriguez | Alvarez, A.C. | Bedrikovetsky, P.G. | Hime, G. | Marchesin, D.
Inverse problem | Formation damage | Deep bed filtration | Iterative functional equation | System of convection-reaction equations
Models for deep bed filtration in the injection of sea water with solid inclusions depend on an empirical filtration function that represents the rate of particle retention. This function must be calculated indirectly from experimental measurements of other quantities. The practical petroleum engineering purpose is to predict injectivity loss in the porous rock around wells. In this work, we determine the filtration function from the effluent particle concentration history measured in laboratory tests knowing the inlet particle concentration. The recovery procedure is based in solving a functional equation derived from the model equations. Well-posedness of the numerical procedure is discussed. Numerical results are shown.