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| GEOL0094-1 | Spatial Analysis of Geological Data | |||||
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| Duration : | 10h Th, 10h Pr | |||||
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| Holder(s) : | Eric Pirard | |||||
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| Course contents : | I. Georeferenced data 1.1. Typologie of spatially distributed data 1.2. Visualisation of data in space II. Exploratory analysis of spatially distributed data 2.1. Global and local statistics 2.2. Analysis of point models (geographical distributions) 2.3. Analysis of the h-scatterplot 2.4. The experimental variogram III. Introduction to random functions 3.1. Deterministic vs. Probabilistic modelling 3.2. Random variables and random functions 3.3. Ergodicity and stationnarity hypotheses 3.4. Models of Variograms 3.5. Modelling the omnidirectional variogram 3.6. Modelling the anisotropy IV Spatial inference using deterministic models 4.1. Surface regression 4.2. Triangulation and polygonation 4.3. Mobile means and inverse weighted distance functions 4.4. Isolevels and smoothing of isolevels V. Spatial inference using topo-probabilistic models 5.1. Optimisation of a linear unbiased estimator 5.2. Simple kriging equations 5.3. Geometry of neighbourhoods, variograms and kriging weights. 5.4. Kriging variance | |||||
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| Course objective : | 1) To present in a unified framework the multiple facets of spatial data processing in geology (GIS, Imaging, Geostatistics,...) 2) To introduce both deterministic and probabilistic tools 3) To understand the different concepts behind deterministic and topo-probabilistic modelling 4) To become aware and critical with regard to abusive graphical display techniques and their (un)exactness 5) To acquire in-depth understanding of the concepts by means of programming | |||||
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| Prerequisites : | This course is a follow-up of "Statistical analysis of geological data" A basic knowledge of MATLAB is required | |||||
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| Workshops : | All computer practices are organised with MATLAB. The student should be acquainted with this environment. TP1 : Visualisation of data in 3D space TP2 : Exploratory analysis of spatial correlations (h-scatterplot) and the experimental variogram TP3 : Variogram modelling TP4 : Simple kriging | |||||
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| Organization : | 2 hours theoretical modules followed by pratical sessions in the computer lab (max. 3 students / PC) | |||||
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| Written notes : | All Power Point presentations used for teaching are made available through the student portal. Written notes are available for the structural analysis (experimental variograms and their modelling) and the deterministic inference chapters. Recommended lectures include : Isaaks E. & Srivastava M., 1989, Introduction to applied geostatistics, Oxford Univ. Press Goovaerts P., 1997, Geostatistics for natural resources estimation, Oxford Univ. Press Swan A. & Sandilands M., 1995, Introduction to geological data analysis, Blackwell (Chap. 7) Bonham-Carter G., 1995, GIS for geoscientists, Pergamon | |||||
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| Assessment : | Oral examination following written preparation of 30 minutes. The oral examination will focus on the understanding of practical concepts rather than the pure restitution of the theoretical demonstrations. | |||||
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| Contacts : | Mlle Nadia ELGARA Secrétariat du Dpt GEOMAC B52 Tél. 04/366.37.99 nelgara@ulg.ac.be | |||||
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ULg : Students and Studies Administration - Academic Affairs
Contact : Monique Marcourt, direction A.E.E.
Date of data : 27/02/2006
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