541-0602/05 – Geostatistics (GEOSTAT)

Gurantor departmentDepartment of Geological EngineeringCredits5
Subject guarantordoc. RNDr. František Staněk, Ph.D.Subject version guarantordoc. RNDr. František Staněk, Ph.D.
Study levelundergraduate or graduateRequirementChoice-compulsory type B
Study languageEnglish
Year of introduction2019/2020Year of cancellation
Intended for the facultiesHGFIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
POR041 Ing. Michal Matloch Porzer, Ph.D.
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.

Teaching methods

Project work


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.



Other requirements

Active participation in seminars and successful completion of written tests.


Subject has no prerequisities.


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. Cross validation method. 12. General procedure and examples of kriging application. Global estimates. Limitation of kriging. 13. Principles of stochastic simulation procedures.

Conditions for subject completion

Full-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  1 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: - Successful completion of two tests during the semester. - 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 for writing tests and getting to know the assignments of the programs). Others in the form of individual consultations.

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (N0532A330042) Applied Geology P English Ostrava 2 Compulsory study plan
2024/2025 (N0724A290004) Petroleum Engineering P English Ostrava 2 Choice-compulsory type B study plan
2023/2024 (N0532A330042) Applied Geology P English Ostrava 2 Compulsory study plan
2023/2024 (N0724A290004) Petroleum Engineering P English Ostrava 2 Choice-compulsory type B study plan
2022/2023 (N0532A330042) Applied Geology P English Ostrava 2 Compulsory study plan
2022/2023 (N0724A290004) Petroleum Engineering P English Ostrava 2 Choice-compulsory type B study plan
2021/2022 (N0724A290004) Petroleum Engineering P English Ostrava 2 Choice-compulsory type B study plan
2020/2021 (N0724A290004) Petroleum Engineering P English 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

Předmět neobsahuje žádné hodnocení.