Two- and Three-Dimensional Flexible Grids for Reservoir Simulation

S. Verma, K. Aziz
1996 ECMOR V - 5th European Conference on the Mathematics of Oil Recovery   unpublished
The commonly used Cartesian and hybrid local grid refinements have the disadvantage that the base grid is always Cartesian, which makes it difficult to align along reservoir heterogeneities. Also, the locally orthogonal Voronoi and k-orthogonal perpendicular bisector (PEBI) grids are only useful for isotropie or limited anisotropic permeability distributions. The finite-difference approach proposed in this paper overcomes limitations of existing flexible gridding schemes in modeling fuIl,
more » ... ropic and asymmetrie permeability tensors and permeability heterogeneity. The new scheme assumes uniform properties inside control-volumes and it can be used for control volumes formed around vertices of triangles in two-dimensions and tetrahedra in threedimensions. It can thus be used with Voronoi grids in twodimensions, and median (i.e. CVFE) and boundary adapting grids (BAG) in two-and three-dimensions. Applications ofVoronoi grids in three-dimensions are limited due to geometrical considerations. The proposed method can also be used with grids constructed to align along major reservoir heterogeneities, wells and streamlines. Several applications of this method for two-and three-dimensional problems are presented.
doi:10.3997/2214-4609.201406874 fatcat:tel4dh7sbna6pe2q6zejtyls2q