Peteng Master: Data Analysis and Modeling in Petroleum Engineering

Course Information

Duration (hours)	39
ECTs	5
Practice	Simulation
Instructor(s)	Assist. Prof. Vassilis Gaganis, Dr. Dimitris Marinakis

Description

This course introduces the use of statistical tools for modeling field- and production-related data. Data mining, regression, classification, clustering and geostatistical methods (variogram, kriging interpolation, simulation) are covered.

Syllabus

1^st Lecture	Basic calculus I: Single and multidimensional functions. Function examples. Implicit functions. Plots, 2D plots, contours.
2^nd Lecture	Basic calculus II: Derivatives, gradient, Hessian. Expansions, Taylor series. Coordinate systems.
3^rd Lecture	Basic linear algebra I: Scalars, vectors, matrices, vector and matrix operations. Data matrices. Scalar-matrix analogs.
4^th Lecture	Basic linear algebra II: Linear systems of equations. Setup and solution. Eigenvalues, eigenvectors, eigen-decomposition. Non-linear equations.
5^th Lecture	Root finding: Exact vs numerical methods, classic methods, Newton-Raphson, extend to systems of equations.
6^th Lecture	Optimization: Classic optimization, optimality conditions, equality & inequality constraints. Numerical methods for linear, quadratic and non-linear optimization.
7^th Lecture	Data and its properties: Descriptive statistics, probability distributions, hypothesis testing
8^th Lecture	Exploratory data analysis I: Unsupervised learning, factor analysis, cluster analysis.
9^th Lecture	Regression I: Single and multiple variable linear regression. Closed form solutions. Residual analysis.
10^th Lecture	Regression II: Single and multiple variable non-linear regression. Numerical solutions. Neural nets and relevant models.
11^th Lecture	Classification & clustering: Discriminating functions. Class probabilities. Deterministic and statistical methods.
12^th Lecture	Geostatistics: Spatial analysis, kriging
13^th Lecture	Differential equations: Setup of ODEs and PDEs for various engineering problems

Petroleum Engineering postgraduate program of the Technical University of Crete is a one-year, full-time program, designed to provide students with a scientific background in hydrocarbon exploration and skills in the practical aspects of petroleum engineering. The program begins in October, and leads to a Master of Science (MSc) degree. The program is run by the School of Mineral Resources Engineering.

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