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Basic Considerations on Using Visualization and Fuzzy Methods to Generate 3D-Models from Different Geological Data Sources

The cooperation project on “Hamburgs dynamical geological underground” (HADU) intends an integrative view on recent geological subsurface processes in the region of the City of Hamburg. Measurement data resulting from geological georadar methods, geophysical ambient vibrations techniques, and conventional well databases shall be combined to a 3D-underground model. From the geological point of view, such a model will help to understand the georisks caused by the dynamics of the salt diapirs in the underground. From a mathematical point of view, the building of the 3D-underground model can be specified as a general task that consists in combining different data sources that provide incomplete, uncertain, and multi-scale 3D-data to form a comprehensive model and a problem oriented visualization of the region of interest. This paper offers a formal specification of the problem that firstly helps to manage the interdependencies between the data, secondly gives entry points for integration of methods to complete incomplete data and to deal with uncertain data, and thirdly integrates a ratio for the quality and reliability of the value displayed. 1. The Problem Description In the context of the HADU-project on Hamburgs Dynamical Underground, different approaches are made to get information on recent geodynamical processes in the urban region of Hamburg. Of geological interest are especially the effects of the salt diapirs in the underground of the city on surface phenomena like collapse-earthquakes. For further information see [Reuther et al., 2005]. Of mathematical interest, however, is the task to generate a comprehensive 3D-underground model that integrates the different data sources corresponding to the following measurement methods: a) geological georadar techniques b) geophysical ambient vibrations techniques c) well data d) conventional surface information in form of GIS layers The problem is well known from many other environmental measurements [Gnauck, 2005]: There are great differences in the quality of the data measured, for certain points in space there are no data available at all, in other segments of the 3D-space, however, data from different measurements is available and has to be assessed to gain a single result value for the corresponding points in space. In this situation, the general task splits into two subtasks: Firstly, the visualization task to elaborate the 3D-model of the soil layers from incomplete and uncertain data at all, and secondly the task how to integrate fuzzy-defined knowledge and data quality into the visualization task to illustrate the confidence level the method assigns to the values visualized. 1 University of Hamburg, MIN Faculty, Dept. Informatik, Arbeitsbereich Technische Informatiksysteme, Vogt-Kölln-Straße 30, 22527 Hamburg, Germany; e-mail: wittmann@informatik.uni-hamburg.de EnviroInfo 2007 (Warschau) Environmental Informatics and Systems Research Copyright © Shaker Verlag, Aachen 2007. ISBN: 978-3-8322-6397-3