Petro Tech: Optimization and Adaptive Simulations for the Optimal Well-Rate Allocation Problem

Speaker Marco Enriquez
Rice University Marco Enriquez holds a master's degree in Applied Mathematics from Rice University, as well as a bachelor's degree in Computer Engineering from Tufts University. He is currently a doctoral candidate in the Applied Mathematics department at Rice University; his doctoral research seeks to establish efficient algorithms for optimization ...


Rice University

Marco Enriquez holds a master's degree in Applied Mathematics from Rice University, as well as a bachelor's degree in Computer Engineering from Tufts University. He is currently a doctoral candidate in the Applied Mathematics department at Rice University; his doctoral research seeks to establish efficient algorithms for optimization problems with reservoir simulation constraints. 

Full Description

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. 



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Organizer Lilly Lee

When?

Tue, May. 11, 2010
11:30 a.m. - 12:30 p.m. US/Central

How Much?

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Where?

HOUSTON BROOKHOLLOW SHERATON Hwy 290 & 1 610W
3000 North Loop West
Houston, TX 77092
USA

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