PET 604E - Optimization Methods in R.Eng.

Course Objectives

1. Advanced optimization concepts and methods used for reservoir characterization and management studies of petroleum, natural gas and geothermal reservoirs.
2. Fundamentals of solving forward and inverse problems in conjunction with advanced statistical and geostatistical concepts, theories and methods.
3. Advanced parameter estimation and performance prediction methods for underdetermined and overdetermined linear and nonlinear system of equations.
4. Methods for quantification of uncertainties associated with parameter estimation and future performance prediction.

Course Description

Deterministic and stochastic methods for optimization; forward and inverse problem definitions; Linear and non-linear regression; Optimization using non-gradient-based methods (simplex, Kalman and ensemble Kalman filter methods); Optimization using gradient based methods (conjugate gradient, steepest descent; Newton; Gauss-Newton, Levenberg-Marquardt); Simulated annealing; Neural networks; Eigenvalue and singular value decomposition; Applications to reservoir engineering and geostatistics.