Nontechnical Guide to Petroleum Geology, Exploration
Nontechnical Guide to Petroleum Geology, Exploration
Nontechnical Guide to Petroleum Geology, Exploration
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<strong>Petroleum</strong> Engineering 322<br />
Geostatistics<br />
Credit 3: (3-0)<br />
Catalog Description<br />
Introduction <strong>to</strong> geostatistics; basic concepts in probability and univariate statistics; bivariate statistics and<br />
spatial relationship; covariance and correlation; second order stationarity; variogram estimation and<br />
modeling; spatial estimation and reservoir modeling; simple and ordinary kriging; uncertainty analysis;<br />
estimation versus conditional simulation; sequential Gaussian simulation.<br />
Prerequisites<br />
Instruc<strong>to</strong>rs Permission.<br />
Section 501 Section 502<br />
Instruc<strong>to</strong>r<br />
Instruc<strong>to</strong>r<br />
Akhil Datta-Gupta<br />
Behnam Jafarpour<br />
Office: Richardson 401D<br />
Office: Richardson 401F<br />
E-mail: datta-gupta@pe.tamu.edu<br />
E-mail: behnam@pe.tamu.edu<br />
Office Hours:<br />
Office Tues/Thurs 3:00-4:00PM<br />
Text Book<br />
Kelkar M., Perez G., (2002): Applied Geostatistics for Reservoir Characterization. Society of <strong>Petroleum</strong><br />
Engineers, Texas.<br />
Topics Covered<br />
1. Introduction <strong>to</strong> Geostatistics and Spatial Modeling<br />
2. Review of Probability and Statistics;<br />
3. Univariate Distributions (PDF and CDF); Statistical Measures; Statistical Moments and<br />
Expectations; Properties of Moments and Expectations<br />
4. Common PDFs; Normal Distribution; Properties of Normal PDF and Test of Normality;<br />
Log-Normal Distribution<br />
5. Probability Mapping and CDF Transformation; Normal Score Transform; Monte Carlo<br />
Method;<br />
6. Bivariate Analysis (Joint Distributions); Covariance and Correlation; Joint Normal<br />
Distribution<br />
7. Linear Regression & Least-Squares; Estima<strong>to</strong>rs and Their Properties; Residual<br />
Analysis and Coefficients of Determination<br />
8. Confidence Intervals; t-Student-test and F-test;<br />
9. Spatial Relationships and Basic Concepts; Stationarity, Au<strong>to</strong>covariance, and<br />
Au<strong>to</strong>correlation<br />
10. Stationarity; Variograms Estimation and Variograms;<br />
11. Modeling Geological Media; Linear Interpolation (Kriging);<br />
12. Simple Kriging; Ordinary Kriging; and Universal Kriging<br />
13. Estimation versus Simulation; Sequential Gaussian Simulation<br />
Lectures<br />
This course will have three 50 minute lectures per week.<br />
Homework<br />
There will be a <strong>to</strong>tal of 8 homeworks that account for 20% of the final grade. Some of the problem sets may<br />
involve use of computers and geostatistical software <strong>to</strong> help you explore different aspects of the material.<br />
You can use any geostatistical software of your choice <strong>to</strong> do those problem sets. A few general software<br />
packages that can be used for this purpose are GEOEAS, GSLIB, and SGeMS. An introduction <strong>to</strong> one of<br />
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