73179 - Environmental Geostatistics T

Learning outcomes

The course aims to provide the tools and models of Linear Geostatistics, mono-and multi-variate, to develop regionalized variables summable and not summable and provide solutions to some common problems of environmental engineering

Course contents

LESSONS

• Introduction & problems

- Monovariate Stationary Geostatistics

• Probability Rudiments, Random Variables, Probability Laws, Moments

• Regionalized Variables, Random Functions and Autocorrelation Functions

• Experimental Variograms and Variogram Modelling

• Regularization

• Dispersion Variance and Selectivity

• Linear Estimation: Ordinary Kriging of points and domains

- Monovariate Non Stationary Geostatistics

• Non-stationary Random Functions, the drift, the Universal Kriging

• Introduction to Intrinsic Random Functions of k-order and IRF-k Kriging

- Multivariate Geostatistics

• Multivariable Analysis, Cross-Covariances and Cross-Variograms

• Cokriging

• Spatial Components, Collocated Cokriging, External Drift

- Selection

• Selection

• Sampling

• Case Studies

PRACTICAL EXERCISES

- Theory Application by existing software and by programming algorithms through macros

• Basic statistics and probability laws, by EXCEL.

• Experimental variograms and variogram modelling, by EXCEL (Macro) and other commercial software.

• Regularization. Regularized Variograms.

• Ordinary Kriging, by EXCEL (Macro).

• Non Stationary Random Functions

• Cross Variograms and Covariances, by EXCEL & MULTIGEO.

• Cokriging, by MULTIGEO

• Selection, by EXCEL

• Sampling Optimization, by EXCEL

Readings/Bibliography

COURSE's TEXTS

·               Bruno, Roberto                       CLASS NOTES (power point)

·               Raspa, G. & Bruno, R.           GEOSTATISTICS NOTES (pdf)

BIBLIOGRAPHY

·               Bruno, R. and Raspa, G. (1994) - La pratica della geostatistica lineare: il trattamento dei dati spaziali - Edizioni Angelo Guerini ed Associati S.r.l., 170 pp.

·               Chiles, J.P. & Delfiner, Pierre (1999) - Geostatistics - Wiley Series in Probability and Statistics, - John Wiley and sons, Inc., 687 pp.

Teaching methods

Each lecture introduces a real problem case linked to georesources. The problems to be solved are discussed and the approach necessary for solving the problem at hand is identified. Afterwards the specific theory for the solution of the problem case is developed.

Lectures are coupled with practical exercises aimed to put into practice the introduced concepts and theoretical models. Practical exercises are given at the Didaptic-Informatic Laboratory, by using available software and by developing specific macros for specific computations.

Assessment methods

The assessment is made by a short dissertation developed by the student, putting into practice the theory and consisting of a real case study chosen by students themselves, based on the collected related data . During the dissertation, theoretical command of the discipline is assessed. The short dissertation is developed in contact with the lecturer who guides the analysis and useful computations.

 

Teaching tools

Lectures are given by projecting power point files supported by notes on the black/white board.
The practical exercises are given at the Didaptic-Informatic Laboratory.

During practical exercises, besides the Microsoft Office programs, geostatistical freeware software is used. In particular, the following programs are used:

• FAIPACK

• MULTIGEO

• EXCEL

Office hours

See the website of Roberto Bruno

See the website of Sara Focaccia