In geostatistical facies models, the sedimentary genetic processes are often neglected. As a consequence, the realizations are not very realistic in terms heterogeneity patterns. In this paper, following the methodology initiated by Hu and al. in 1994, a random genetic simulation process is developed for lobe sand bodies modelling. It is used to produce a realistic facies model of lobes internal architecture and to fill in the space between horizons of deposition. This methodology is encouraging to produce training images that can be good candidates for multiple point geostatistics but also to produce reservoir grid in conformity with the depositional scheme.


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