The Mathematical Institute, University of Oxford, Eprints Archive

A locally adaptive time-stepping algorithm for
petroleum reservoir simulations

McNamara, H. and Bower, G. and Dellar, P. J. (2011) A locally adaptive time-stepping algorithm for
petroleum reservoir simulations.
Applied Maths Journal . (Submitted)

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Abstract

An algorithm for locally adapting the step-size for large scale finite volume simulations of multi-phase flow in petroleum reservoirs is suggested which allows for an “all-in-one” implicit calculation of behaviour over a very large time scale. Some numerical results for simple two-phase flow in one space dimension illustrate the promise of the algorithm, which has also been applied to very simple 3D cases. A description of the algorithm is presented here along with early results. Further development of the technique is hoped to facilitate useful scaling properties.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:1049
Deposited By:Peter Hudston
Deposited On:17 Feb 2011 09:30
Last Modified:30 Aug 2012 14:59

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