Formfree and cascadic identification of material laws in (un)saturated fluid flow from column experiments

摘要

Simulations of processes in porous media often are based on mathematical models in form of partial differential equations or systems of such equations. The processes in porous media critically depend on knowledge of material laws, characteristic material properties of the considered porous media, which are represented in the model equations by coefficient functions. Therefore, the material properties have to be determined by suitable experiments. Usually such experiments can only reveal an output of the system caused by the material properties to a certain input. The material property itself has to be identified from this by mathematical and numerical methods (inverse modeling). This paper presents an approach for formfree and cascadic identification of nonlinear coefficient functions in a partial differential equation based on output least squares minimization. [References: 6]