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Thursday, March 5 • 15:15 - 17:15
Poster: 'Well Rate Optimization of Oil Reservoirs,' Xiaodi Deng, Rice University

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I develop efficient numerical methods for reservoir well rate optimization in problems that involve a large number of wells and that are modeled by complex reservoir simulations.

In the oil reservoir secondary production stage, water is injected into the reservoir in order to drive oil to production wells. Between hundreds of the subsurface well bores, liquid flows through the heterogeneous porous media. By setting well injection and production rates, reservoir operators attempt to control the subsurface flow pattern to improve water flooding sweep efficiency and production water oil ratio.

In this initial phase of my research, the simulation uses a water oil two-phase immiscible incompressible model with the SPE10 data with highly heterogeneous reservoir porosity and permeability. After a finite volume discretization of the 3D time-dependent system of partial differential equations (PDEs), I have millions of unknowns. To efficiently solve the large-scale PDEs I use the Trilinos framework and MPI to assemble PDE matrices, construct preconditioners, and solve linear systems in parallel.

The reservoir optimization problem involves a large number of optimization variables subject to bound constraints. The number of optimization variables is proportional to the number of wells multiplied by the number of time steps. Each objective function evaluation requires an expensive reservoir simulation. To compute the gradient of the objective function, I use the adjoint equation method. The implementation separates the optimization algorithm and the simulation, allowing independent development of both.

I present numerical results for the SPE10 using gradient projection based optimization methods.

In the next stage of this project, I will incorporate a more complicated reservoir model, improve scalability, investigate other optimization algorithms, and consider model reduction as a way to reduce computation load.

Speakers

Thursday March 5, 2015 15:15 - 17:15 CST
BioScience Research Collaborative 6500 Main Street, Houston, Tx 77005