PETE 401 Test 1 Questions & Answers 2024/2025
Analytical domain - ANSWERSInvolves framing the problem in a well-understood form and calculating a exact solution
Numerical domain - ANSWERSmaking guesses at the solution and testing whether the problem is solved well enough to stop
What is ...
Analytical domain - ANSWERSInvolves framing the problem in a well-understood form and calculating a
exact solution
Numerical domain - ANSWERSmaking guesses at the solution and testing whether the problem is solved
well enough to stop
What is discretization (space and time), and how its related to model performance - ANSWERSprocess of
converting continuous functions, models, variables, and equations into discrete counterparts
Two things need to be discretize: space and time
Increased discretization results in more accurate description of whats really going on (map weather
example)
finite differences - ANSWERScan convert a PDE into a system of non-linear equations which then can be
solved
Using finite differences we derive an approximation to the PDE solution, which enables us to solve it
numerically
Implicit Solution method - ANSWERSBackward difference at Time t^n+1 for time derivative
central difference for Space derivatives
Implicit solution advantages - ANSWERSis unconditionally stable for all delta t
"Will not blow up"
Implicit solution disadvantages - ANSWERSSlower
More CPU time to obtain solutions for the implicit method
Has three unknowns at the new time level n+1
no simple explicit solution for each unknown
Direct matrix solver - ANSWERSOne pass, or single iterations, solves for all unknowns
round-off error can be an issue with large sets of equations
iterative matrix solver - ANSWERSmultiple passes, or iterations are required to obtain a solution,
accuracy increases with iteration number (better for larger sets of equations)
less storage requirements
Data needed for reservoir simulations and PDE's - ANSWERSBoundary conditions and Initial conditions
Lab 0 - ANSWERSFundamentals of CMG
black oil model building
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