# GATE Petroleum Engineering Syllabus

## Subject Code: PE

### Course Structure

Sections/Units Topics
Section 1 Linear Algebra
Section 2 Calculus
Section 3 Differential equations
Section 4 Complex variables
Section 5 Probability and Statistics
Section 6 Numerical Methods
Section 7 Petroleum Exploration
Section 8 Oil and Gas Well Drilling Technology
Section 9 Reservoir Engineering
Section 10 Petroleum Production Operations
Section 11 Offshore Drilling and Production Practices
Section 12 Petroleum Formation Evaluation
Section 13 Oil and Gas Well Testing
Section 14 Health Safety and Environment in Petroleum Industry
Section 15 Enhanced Oil Recovery Techniques
Section 16 Latest trends in Petroleum Engineering

### Course Syllabus

Section 1: Linear Algebra

• Matrix algebra
• Systems of linear equations
• Eigen values and eigenvectors

Section 2: Calculus

• Functions of single variable
• Limit
• Continuity and differentiability
• Taylor series
• Mean value theorems
• Evaluation of definite and improper integrals
• Partial derivatives
• Total derivative
• Maxima and minima
• Divergence and Curl
• Vector identities
• Directional derivatives
• Line, Surface and Volume integrals
• Stokes, Gauss and Green’s theorems

Section 3: Differential Equations

• First order equations (linear and nonlinear)
• Higher order linear differential equations with constant coefficients
• Cauchy’s and Euler’s equations
• Initial and boundary value problems
• Laplace transforms
• Solutions of one dimensional heat and wave equations and Laplace equation

Section 4: Complex variables

• Complex number
• Polar form of complex number
• Triangle inequality

Section 5: Probability and Statistics

• Definitions of probability and sampling theorems
• Conditional probability
• Mean, median, mode and standard deviation
• Random variables
• Poisson
• Normal and Binomial distributions
• Linear regression analysis

Section 6: Numerical Methods

• Numerical solutions of linear and non-linear algebraic equations

• Integration by trapezoidal and Simpson’s rule

• Single and multi-step methods for numerical solution of differential equations

Section 7: Petroleum Exploration

• Classification and description of some common rocks with special reference to clastic and nonclastic reservoir rocks

• Origin, migration and accumulation of Petroleum. Petroleum exploration methods

Section 8: Oil and Gas Well Drilling Technology

• Well planning
• Drilling method
• Drilling rigs Rig operating systems
• Drilling fluids function and properties
• Drilling fluid maintenance equipment
• Oil & gas well cementing operations
• Drill bit types and their applications
• Drill string & Casing string function, operations, selection & design
• Drilling problems, their control & remedies
• Directional drilling tools
• Directional survey
• Application of horizontal, multilateral, extended reach, slim wells

Section 9: Oil and Gas Well Drilling Technology

• Well planning
• Drilling method
• Drilling rigs Rig
• operating systems
• Drilling fluids function and properties
• Drilling fluid maintenance equipment
• Oil & gas well cementing operations
• Drill bit types and their applications
• Drill string & Casing string function, operations, selection & design
• Drilling problems, their control & remedies
• Directional drilling tools
• Directional survey
• Application of horizontal, multilateral, extended reach, slim wells

Section 10: Petroleum Production Operations

• Well equipment

• Well completion techniques

• Well production problems and mitigation

• Well servicing & Workover operations

• Workover & completion fluids

• Formation damage

• Well stimulation techniques

• Artificial lift techniques

• Field processing of oil & gas

• Storage and transportation of petroleum and petroleum products

• Metering and measurements oil & gas

• Production system analysis & optimization

• Production testing

• Multiphase flow in tubing and flow-lines

• Nodal system analysis

• Pressure vessels, storage tanks, shell and tube heat exchangers, pumps and compressors, LNG value chain

Section 11: Offshore Drilling and Production Practices

• Offshore oil and gas operations & ocean environment

• Offshore fixed platforms, Offshore mobile units, Station keeping methods like mooring & dynamic positioning system

• Offshore drilling from fixed platform, jack-up, ships and semi submersibles

• Use of conductors and risers

• Offshore well completion

• Deep water applications of subsea technology

• Offshore production −

• Oil processing platforms

• Water injection platforms

• Storage

• SPM and SBM transportation

• Utilities

• Deep water drilling rig

• Deep water production system

• Emerging deep water technologies

Section 12: Petroleum Formation Evaluation

• Evaluation of petrophysical of sub-surface formations −

• Principles applications

• Resistivity

• Acoustic logs

• Types of tools used

• Evaluation of CBL/VDL, USIT, SFT, RFT

• Production logging tools, principles, limitations and applications

• Special type of logging tools

• Casing inspection tools (principles, applications and limitations), Formations micro scanner (FMS), NMR logging principles

• Cross-plotting methods

Section 13: Oil and Gas Well Testing

• Diffusivity equation, derivation & solutions
• Principle of superposition
• Horner’s approximation
• Drill Stem Testing
• Pressure Transient Tests: Drawdown and build up-test analysis
• Wellbore effects
• Multilayer reservoirs
• Injection well testing
• Multiple well testing
• Interference testing, Pulse testing, well-test analysis by use of type curves
• Gas well testing

Section 14: Health Safety and Environment in Petroleum Industry

• Health hazards in Petroleum Industry −

• Toxicity

• Physiological

• Asphyxiation

• Respiratory and skin effect of petroleum hydrocarbons

• Sour gases

• Safety System −

• Manual & automatic shutdown system

• Blow down systems

• Gas detection system

• Fire detection and suppression systems

• Personal protection system & measures

• HSE Policies

• Disaster & crisis management in Petroleum Industry

• Environment −

• Environment concepts

• Impact on eco-system

• Air, water and soil

• The impact of drilling & production operations on environment, Environmental transport of petroleum wastes

• Offshore environmental studies

• Offshore oil spill and oil spill control

• Waste treatment methods

Section 15: Enhanced Oil Recovery Techniques

• Basic principles and mechanism of EOR −

• Screening of EOR process

• Concept of pattern flooding, recovery efficiency, permeability heterogeneity

• Macroscopic and microscopic displacement efficiency

• EOR methods −

• Chemical flooding

• Miscible flooding

• Thermal recoveries (steam stimulation, hot water & steam flooding, insitu combustion)

• Microbial EOR

Section 16: Latest trends in Petroleum Engineering

• Coal bed methane
• Shale gas
• Oil shale
• Gas hydrate
• Heavy oil