Numerical modelling of multi-component multi-phase flows in petroleum reservoirs with heat transfer

Abstract

This article is devoted to the modelling and the finite volume approximation of multi-component multi-phase flows in a petroleum reservoir, from both a dynamic and a thermal point of view. We introduce an adequate energy equation and the corresponding thermodynamics, which are next integrated in the isothermal GPRS code. Numerical examples and comparisons with the isothermal GPRS code are presented.

Keywords:

• petroleum reservoir
• multi-phase anisothermal flow
• complex thermodynamics
• finite volumes

AMS Subject Classifications::

• 65M60
• 76T30
• 80A20

Acknowledgements

Since this project has began and independently of this work, another anisothermal version of GPRS has been developed at Stanford University in order to treat steam injection. This work is supported by Total (PhD thesis of L. Lizaik).