The optimal well-rate allocation problem (OWRA) can be stated as the following: given a model of a reservoir and locations of injecting and producing wells, find the well rates (defined over time) that maximize profit. Recent work led to a mathematical formulation of OWRA as an optimization problem, using the Black-Oil equations to characterize flow in the reservoir. In this talk I introduce the necessary mathematical background to understand the mathematical formulation of OWRA. I then discuss improvement of the solution by using adaptive (as opposed to fixed time-step) simulations.
This talk will be split into three parts. First, I introduce unconstrained optimization, and discuss how this technology can be coupled with the IMPSAT (Implicit Pressure and Saturation) approach to solve the Black-Oil equations. I then address the well-rate bound requirement for OWRA, which motivates the use of constrained optimization algorithms. Finally, I show how to incorporate adaptive simulations for OWRA -- leading to quick convergence and physically meaningful results. Time permitting, I will also talk about computational storage issues and algorithms to circumvent these problems, such as the checkpointing algorithm for adaptive simulation.
If you have special dietary needs (diabetic, religious, allergies, etc.) please include a note of your meal needs during the on-line registration process in the box labeled "Optional comments for the event planner" or contact Trish Framel, so she may alert the Hotel.