s and faults. Step 1, the construction of the initial grid, is a common practice. Step 2,has been thoroughly described in a previous paper by Thore et al (2002). The paper concentrates on step 3: the technique which has been developed to constrain the geometry of a reservoir grid to structural uncertainties. This technique is original and requires calculations which include regularisation technique in order to preserve the aspect ratio of grid cells. It also preserves the layering paradigm of each unit. The generation of realisations can be “ordered” (gradual simulations) in such a way that the grid geometry varies smoothly from one realisation to the next.


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