541-0602/04 – Geostatistics (GEOSTAT)

 Gurantor department Department of Geological Engineering Credits 5 Subject guarantor doc. RNDr. František Staněk, Ph.D. Subject version guarantor doc. RNDr. František Staněk, Ph.D. Study level undergraduate or graduate Requirement Choice-compulsory type B Year 2 Semester winter Study language Czech Year of introduction 2019/2020 Year of cancellation Intended for the faculties HGF Intended for study types Follow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
STA22 doc. RNDr. František Staněk, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Part-time Credit and Examination 8+8

Subject aims expressed by acquired skills and competences

This course is dedicated to basic properties and modelling of natural objects. These problems can arise from other courses as well as from practice. The main emphasis lays in explanation of fundamental principles of geostatistical methods and of their general properties. The students learn how to decide which geostatistical procedure is a suitable tool for solving a specific problem. An important ingredient of the course is learning how to use existing software specialized for geostatistical computations, too. The first part of the course deals with basic geostatistical notions and with the way in which to understand these notions from both theoretical and practical points of view. In the second part of the course the students learn the geostatistical way of thinking as a mean of understanding real-life processes. The basic methods of collecting and analysing geo-data are introduced. The students are taught how to use these general methods to solve the problems arising from other courses of their study and from practice.

Lectures
Tutorials
Project work

Summary

Basic properties and modeling of natural objects. Introduction to geostatistics. Random function. Regionalized variable. Stationary and intrinsic hypotheses. Variogram. Anisotropies, drift, models for variograms. Experimental variograms. Structural analysis. Dispersion as a function of block size. Local estimation – kriging. Ordinary kriging. Point kriging and block kriging. Simple kriging. Universal kriging. Cokriging. Nonlinear kriging. Soft kriging. Lognormal kriging. Indicator kriging. Probability kriging. Cross validation. Principles of stochastic simulation. Sequential Gaussian simulation (SGSIM) and direct sequential simulation (DSSIM).

Compulsory literature:

DEUTSCH, C., V.: Geostatistical Reservoir modeling. Oxford, 2002. DEUTSCH, C., V., JOURNEL, A., G.: GSLIB – Geostatistical Software Library and User's Guide. Oxford, 1998. GOOVAERTS, P.: Geostatistics for Natural Resourses Evaluation. Oxford, 1997. REMY, N., BOUCHER, A., WU, J.: Applied geostatistics with SGeMS: a user's guide. New York: Cambridge University Press, 2009.

Recommended literature:

CLARK, I., HARPER, W.,V.: Practical Geostatistics. Ecosse North America Llc, Columbus Ohio, USA, 2000. KITANIDIS, P.,K.: Introduction to Geostatistics: Applications to Hydrogeology. New York, 1997. WEBSTER, R., OLIVER, M. A.: Geostatistics for Environmental Scientists. Wiley, 2007. LANTUÉJOUL, CH.: Geostatistical Simulation: Models and Algorithms. Springer, 2002.

Way of continuous check of knowledge in the course of semester

Successful completion of written tests and defense of assigned programs.

E-learning

\\geolserv\PRENOSY\Statistika

Other requirements

Active participation in seminars and successful completion of written tests.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Basic concepts of probability theory. 2. Basic concepts of mathematical statistics, mathematical statistics in geology. 3. Basic properties and modeling of geological bodies. Introduction to geostatistics. Development and practical significance. Application of geostatistics in geology, mining industry and other fields. 4. Random function. Spatial variable quantity. 5. Characteristics of a random function. 6. Stationarity of a random function and the intrinsic hypothesis. 7. Empirical (experimental) and theoretical variogram. Types of theoretical variograms. 8. Interpretation and progress of the experimental variogram. Drift. Structural analysis – definition and tasks. 9. Linear geostatistical kriging procedures – principle, type of input data distribution, point and block estimation. 10. Basic and universal kriging. 11. Other types of kriging. 12. Cross validation method. 13. General procedure and examples of kriging application. Global estimates. Limitation of kriging. 14. Principles of stochastic simulation procedures.

Conditions for subject completion

Part-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
Credit Credit 33  17
Examination Examination 67  18 3
Mandatory attendence participation: Attendance at seminars is mandatory, the maximum excused absence is 20%.

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Conditions for subject completion and attendance at the exercises within ISP: Conditions for passing the course Credit: - Elaboration and defense of assigned programs. Exam: - Successful completion of the written part of the exam. - Answering the given additional questions according to the published list of questions. Participation in exercises: To the maximum extent possible (at least to familiarize yourself with the program assignments). Others in the form of individual consultations.

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2022/2023 (N0532A330041) Applied Geology K Czech Ostrava 2 Compulsory study plan
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2022/2023 (N0724A290003) Petroleum Engineering K Czech Ostrava 2 Choice-compulsory type B study plan
2021/2022 (N0724A290003) Petroleum Engineering K Czech Ostrava 2 Choice-compulsory type B study plan
2021/2022 (N0724A290003) Petroleum Engineering P Czech Ostrava 2 Choice-compulsory type B study plan
2020/2021 (N0724A290003) Petroleum Engineering K Czech Ostrava 2 Choice-compulsory type B study plan
2020/2021 (N0724A290003) Petroleum Engineering P Czech Ostrava 2 Choice-compulsory type B study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction

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