Nonlinear Multigrid for Reservoir Simulation

Multigrid methods for fully implicit oil reservoir simulation

A selection of these reports is available in PostScript form at the Faculty's anonymous ftp

New Nonlinear Multigrid Analysis

SUMMARY The nonlinear multigrid is an eecient algorithm for solving the system of nonlinear equations arising from the numerical discretization of nonlinear elliptic boundary problems 7],,9]. In this paper, we present a new nonlinear multigrid analysis as an extension of the linear multigrid theory presented by Bramble, et al. in 5], 6], and 17]. In particular, we prove the convergence of the n...

Multigrid nonlinear SeaBeam interpolation

A multigrid nonlinear algorithm was applied to the April 18 SeaBeam data set to fill in the large regions of missing data, obtaining an image superior to those obtained with linear methods, and more quickly than is possible with a normal, single grid nonlinear interpolation. The model may be chosen to contain any number of points; here models with gradually increasing numbers of points are solv...

Gridding for Petroleum Reservoir Simulation

We consider optimization of computational grids for petroleum reservoir flow simulations. In this context grid quality is determined by two independent error sources. On the one hand there is a loss of precision caused by upscaling of geological data from the fine geological grid to the coarser computational grid, and on the other hand there are numerical errors induced by a non-regular computa...

Reservoir Simulation