# 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
- Gradient
- 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

Advantages and disadvantages of SP

Resistivity

Radioactive

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

Standard log interpretation methods

Cross-plotting methods

**Section 13: Oil and Gas Well Testing**

- Diffusivity equation, derivation & solutions
- Radius of investigation
- 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

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