Geostatistics and Applied Probability


Objectives

The aim of Geostatistics is to study quantitative phenomena that are structured in space and/or time. Engineers are almost inevitably faced with problems related to geostatistical techniques such as the evaluation of natural reserves, the analysis of time series, cartography, etc., and, broadly speaking, any processing of “regionalized variables” according to the terminology of G. Matheron, the founder of geostatistics.
The Geostatistics and Applied Probability Minor gives priority to probabilistic models and statistical methods, and in particular focusses on their application to the processing of spatial and temporal data.


    Content

    The Geostatistics and Applied Probability Minor should be a forum for dialogue between students whose tastes and fields of application are as varied as possible. Geostatistics is also fundamentally a practice and the work involved in the Minor consists in studying real data according to three phases:
    - analysis: a critical approach to available data and assessment of their relevance to the problems posed. It is simply a matter of defining clearly what is being talked about and to ensure that the basic problem has been well understood;
    - modelling: a crude sample is not an object that can be manipulated as such by mathematical tools. Physical data have therefore to be transformed into a mathematical element to which theoretical constructions can be applied;
    - synthesis: the purpose of an applied geostatistical study lies within the realm of physical reality rather than abstract speculation. After mathematical processing, it is necessary to be able to give an interpretation to the results obtained, even if that means starting the three phases again if the results appear unrealistic.
    Geostatistics can therefore be presented as an extension of conventional mathematical methods (statistics, data analysis, signal processing and Fourier analysis) applied to various structured variables (including multidimensional variables). In short, it could be said that the role of this Minor is to introduce students to a particular way of dealing with regionalized variables.

    The training in this Minor is aimed essentially at providing students with a critical mastering of some of the tools which they might need to use during their internship. As an introduction to “geostatistics in the field”, the Minor provides an opportunity of entering into contact with companies and personnel working with geostatistics in fields of application that correspond as much as possible to the themes of particular interest to the students’ year. It is essential that the students acquire a sense of balance between an empirical approach and a mathematical approach to a problem, a sense of balance which the third-year internship will put into practice in real terms.

    Some typical past subjects for 3A internship within the Geostatistics Minor:

    • numerical modeling of petroleum reservoirs; estimation and simulation in mining
    • simulation of influenza epidemics
    • processing of biological or physical data in oceanography and limnology
    • assimilation of spatio-temporal data in meteorology and climatology
    • analysis and modeling of pollution data (air, soil, rivers)
    • automatic classification of gems
    • study of correlation between urban morphology and electric consumption
    • automatic semantic analysis

    Program Language Duration Supervisors
    French 266 Hours Hans Wackernagel
    ECTS Credits : 42

    Last modification :Tuesday November 15 2011