Grid selection is one of the most difficult and time-consuming tasks i
n the simulation of geologically complex reservoirs. A grid is imposed
on a reservoir so that we can solve the nonlinear flow equations that
predict the reservoir's response to changes at wells or other boundar
ies. Therefore, I first discuss the role of grid geometry in the evalu
ation of each term in the flow equations. Then I describe several conv
entional and some new gridding techniques, as well as their advantages
and disadvantages. Next I make recommendations based on my own experi
ence and discussions with colleagues. My assessment is that grids shou
ld be as close to orthogonal as possible. Also, local grid refinement
should be used with care; its inappropriate use can be counterproducti
ve. Considerable progress has been made recently on the use of flexibl
e grids, but efficient use of unstructured, locally orthogonal grids r
equires further research. Techniques that automatically align the grid
with major reservoir features (e.g., faults) are being developed and
are expected to simplify grid generation.