On Efficient Computation of the Optimization Problem Arising in the Inverse Modeling of Non-Stationary Multiphase Multicomponent Flow Through Porous Media

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 usin...

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Bibliographic Details
Published in:Computational optimization and applications 2005-05, Vol.31 (1), p.69-85
Main Authors: Hazra, Subhendu Bikash, Schulz, Volker
Format: Article
Language:English
Subjects:
Energy
Heat
Heat conductivity
Interdisciplinary aspects
Inverse problems
Mathematical programming
Optimization
Parameter identification
Partial differential equations
Permeability
Simulation
Studies
Theory
Variables
Viscosity
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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.
ISSN:0926-6003
1573-2894
DOI:10.1007/s10589-005-1052-0