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
The Master project has been finished in August 2014
by the completion of the
Masters Thesis
and a final presentation
has been given.
For working address etc. we refer to our
alumnipage.
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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