1 Mathematical Statistics, Department of Informatics and Mathematical Modeling, Technical University of Denmark2 Department of Informatics and Mathematical Modeling, Technical University of Denmark3 Department of Hydrodynamics and Water Resocurces, Technical University of Denmark4 unknown5 Department of Applied Mathematics and Computer Science, Technical University of Denmark6 Department of Environmental Science and Engineering, Technical University of Denmark
Grey Box Well Field Modelling
This report deals with grey box modelling applied to the Well Field Optimisation project. The subject is the real case study of Søndersø, located north-west of Copenhagen, DK. This report contains a comprehensive description on how the dataset of measurements taken at Søndersø have been treated and analysed. The purpose of such analysis is twofold. Firstly is to identify a suitable architecture for the grey-box model. Secondly to design a procedure to select values from the dataset that will be used for the calibration of the parameters of the grey-box model. Section 1 describes the Søndersø well field, and provides an overview of the dataset. Section 2 describes the numeric treatments that have been applied to the dataset; the result is summarized in Section 3. Section 4 illustrates the analysis performed on the treated dataset. In this section, the fundamental mechanisms of the well field system are detected and decomposed (subsections 4.1 - 4.3). Based on the results of such analysis, a simple modelling exercise is performed showing that linear models can be effectively employed to simulate a well field (subsection 4.4). Section 5 describes a sampling approach, designed to calibrate the parameters of the grey-box model with a representative database which is also reasonably reduced in size. Summary and conclusions are in Section 6.
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Technical University of Denmark, DTU Informatics, Building 321, 2011