On efficient computation of the optimization problem arising in the inverse modeling of non-stationary multiphase multicomponent flow through porous media. (English) Zbl 1114.49037

Summary: In this paper we discuss a method of solving inverse problems in non-isothermal multiphase multicomponent flow through porous media. The conceptual model is described by a system of non-linear partial differential equations which involve unknown parameters. These parameters are to be determined using a set of observations at discrete points in space and time by an optimization method. It is based on a reduced Gauss-Newton iteration in combination with an efficient gradient computation which takes advantage of a recently developed efficient numerical simulation technique. A sensitivity analysis is carried out for the optimum parameter set. Numerical experiments are performed for a one dimensional column experiment carried out at the VEGAS, University of Stuttgart, Germany.


49N45 Inverse problems in optimal control
65J22 Numerical solution to inverse problems in abstract spaces
76S05 Flows in porous media; filtration; seepage
93C20 Control/observation systems governed by partial differential equations


Full Text: DOI


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