PETE557 ANALYSIS OF POROUS MEDIA FLOW EQUATIONS II
| Course Code: | 5660557 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Petroleum and Natural Gas Engineering |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | Prof.Dr. UĞUR MURAT LELOĞLU |
| Offered Semester: | Fall Semesters. |
Course Objectives
This course, which is intended for petroleum and natural gas engineering graduate students, will focus on the mathematical background necessary to solve partial differential equations of unsteady state flow in porous media and the application of these techniques for solving the basic equations frequently used in petroleum engineering. The students will acquire the skills for analytical solutions of transients encountered in well testing.
Course Content
First order ODE; derivation of Dupuit-Thiem equation with and without skin effect; second order ODE; Boltzmann transformation; separation of variables; derivation of line source solution; series solutions of differential equations; logarithmic (Jacob`s) approximation; Laplace transform; line source solution using LT; linearity and superposition principle; convolution; wellbore storage; bounded reservoir solution with eigenfunction expansion and LT; hydraulically fractured well with LT; deconvolution.