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Altagamoa Al Khames, Main centre of town, end of 90th Street
New Cairo
Egypt
Faculty of Engineering & Technology
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List of Courses

Finite Element Analysis with Applications in Petroleum Engineering

  • Course Code :
    PE 407
  • Level :
    Undergraduate
  • Course Hours :
    4.00 Hours
  • Department :
    Department of Petroleum Engineering

Instructor information :

Area of Study :

The Main Goals of this course are preparing students to: ─ Understand the basic theory behind the finite element method ─ Use the finite element method for the solution of practical engineering problems ─ Understand the concept of numerical methods ─ Use Newton Raphson method ─ Use Bisection method ─ Use Secant Method ─ Use False position method ─ Use Gaussian Elimination method ─ Applying in MATLAB/Fortran and petroleum engineering field

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Finite Element Analysis with Applications in Petroleum Engineering

This course deals with the finite element method and its applications to solve practical petroleum engineering problems. This course gives basic knowledge about the Finite Element Method including element formulations, numerical solution procedures and modelling details. The course will also give the students the ability to use MATLAB/Fortran program to solve any petroleum problems and other applications.

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Finite Element Analysis with Applications in Petroleum Engineering


Course outcomes:

a. Knowledge and Understanding:

1- Describe the concept of approximation in the analysis of engineering problems
2- Identify numerical methods suitable for commonly arising Petroleum Engineering problems.
3- Explain the underlying mathematics behind finite element analysis software solvers
4- Write simple methods in a high-level programming language and use available software resources.
5- Describe main features of numerical problems and algorithms

b. Intellectual Skills:

1- Apply different numerical methods to solve large petroleum engineering problems.
2- Write MATLAB or Fortran program using different numerical methods.
3- Solve petroleum engineering problems by using mathematics and physics knowledge.

c. Professional and Practical Skills:

1- Apply the numerical and Finite Element Methods to practical situations, with specific emphasis on its application to petroleum engineering problems

d. General and Transferable Skills:

1- Use MATLAB/Fortran program and present the results within multidisciplinary team.


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Finite Element Analysis with Applications in Petroleum Engineering

Course topics and contents:

Topic No. of hours Lecture Tutorial/Practical
Introduction to numerical methods 6 4 2
Newton Raphson method; Bisection method 6 4 2
Secant method; False Position method; introduction to Fortran; Mathematical functions 12 8 4
Basic plotting; Matrix generation; Introduction to programming in Fortran. 12 8 4
Interpolation and smoothing. Differentiation and integration of discrete data series. 12 8 4
Numerical methods in Fortran 12 8 4
Matrix Problems; Gauss Elimination and Gauss- Jordan 12 8 4
Numerical Solution of PDEs, Transient solution of the diffusivity equation in one dimension, using finite differences). 6 4 2
Introduction to FEA; Discretization; FE Terminology 6 4 2
Field Problems 6 4 2

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Finite Element Analysis with Applications in Petroleum Engineering

Teaching And Learning Methodologies:

Teaching and learning methods
Interactive Lecturing
Discussion
Problem-based Learning
Research
Experiential Learning

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Finite Element Analysis with Applications in Petroleum Engineering

Course Assessment :

Methods of assessment Relative weight % Week No. Assess What
Assignment 10.00
Final Exam 40.00
Lab. Exam 5.00
Mid- Exam 25.00
Participation 10.00
Quizzes 10.00

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Finite Element Analysis with Applications in Petroleum Engineering

Books:

Book Author Publisher

Recommended books :

- Chapra, S. C., & Canale, R. P. (2010). Numerical methods for engineers. Boston: McGraw- - Hill Higher Education. Hoffman, J. D., & Frankel, S. (2001). Numerical methods for engineers and scientists. CRC press.

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