AMG methods for 3D pressure equations in oil reservoir simulation
Lisa Wobbes

Supervisor: Domenico Lahaye

Site of the project:
Schlumberger Abingdon Technology Center
Lambourn Court, Wyndyke Furlong
Abingdon Business Park
Abingdon, Oxfordshire, OX14 1UJ
United Kingdom

Supervisors Schlumberger: Tom Jonsthovel and Alex Lukyanov

start of the project: November 2013

Summary of the master project:
In hydrocarbon reservoir simulation the governing partial differential equations consist of parabolic and hyperbolic equations. The resulting linear systems are solved by GMRES preconditioned by the CPR preconditioner. The main step in the CPR preconditioner is the approximation of the parabolic pressure field. In the studied commercial reservoir simulator the pressure field is approximated by one V-cycle of classical AMG with standard coarsening. However, for many real life test cases the strong scalability of the AMG solution method is poor.

In this project we investigate alternatives to classical AMG with standard coarsening by applying more aggressive coarsening techniques. We compare SAMG for various large scale simulation runs. Due to the aggressive coarsening the algebraic and geometric complexity becomes lower but at the expense of slower convergence and an increase in total simulation time. We will discuss the numerical results and propose strategies how to improve the strong scalability by more advanced (aggressive) coarsening techniques.

Results of reservoir simulation

Artist impression of oil flow in a reservoir


The structure of the coarse grid operators, left for the 2250 problem and right for the 348809 problem

Contact information: Kees Vuik

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