Critical analysis of multiple-points statistics methods in the stochastic simulation of geology at Fox Kimberlitic Diamond Pipe located on the Ekati Property, North West Territories

Multiple-point simulation (MPS) methods have been developed over the past decade as a mean to generate stochastic simulations while reproducing complex geological patterns, such as high-grade depositional veins, groups of high-grade lentil shaped orebodies, or the spatial geometries and patterns of diamond-bearing kimberlite pipes.This thesis compares two MPS methods by modelling the geology of a diamond pipe located at the Ekati mine, NWT, Canada.The single normal equation simulation algorithm SNESIM, which captures different patterns from a training image (TI), and the filter simulation algorithm FILTERSIM, which classifies the patterns founded on the TI, are considered in this study.Both methods are used to generate stochastic simulations of a fourcategory geology model containing crater, diatreme, xenoliths and host rocks.Soft information about the location of the host rock is also used.Both MPS methods reasonably reproduced the geometry of the pipe, as per the TI used (crater and diatreme rock units); however, the methods differed in the proportion and location of the xenolith bodies within the pipe.The validation of the simulated results provided by the above methods shows a reasonable reproduction of the data proportions for all v geological units considered; the validation of spatial statistics, however, shows that although simulated realizations from both methods reasonably reproduce the fourth order spatial statistics of the TI, they do not reproduce well the same spatial statistics of the available data (when these differ from the TI).An interesting observation is that SNESIM better imitates the shape of the pipe, whereas FILTERSIM reaches a better reproduction of the xenolith bodies.vi RSUM Les mthodes de simulation multi-points ont t dveloppes au cours de la dernire dcennie afin de gnrer des simulations stochastiques reproduisant des structures gologiques complexes, comme par exemple des dpts en veines hautes teneurs, des groupes de formations lenticulaires hautes teneurs, ou les gomtries spatiales et structures de gisements diamantifres de kimberlite.Cette thse compare deux mthodes multi-points pour modliser la gologie d'un gisement diamantifre situ dans la mine Ekati, dans les Territoires du Nord-Ouest du Canada.Les algorithmes de simulation SNESIM, capturant les structures d'une image d'entranement, et FILTERSIM, classant les structures trouves sur une image d'entranement, sont considrs dans cette tude et utiliss pour gnrer des simulations stochastiques d'un modle quatre catgories : cratre, diatrme, xnolites et roches htes.On utilise aussi des informations qualitatives sur la position de la roche hte.Les deux mthodes reproduisent la gomtrie du gisement de manire satisfaisante, conformment l'image d'entranement utilise (le cratre et les diatrmes); cependant, les mthodes donnent des rsultats diffrents quant la proportion et la position des corps de xnolite dans le gisement.vii La validation des rsultats des simulations par les mthodes mentionnes ci-dessus montre une reproduction raisonnable des proportions pour chaque catgorie considre, mais la validation des statistiques spatiales montre que, mme si les simulations produites par les deux mthodes reproduisent les statistiques d'ordre quatre de l'image d'entranement, elles ne reproduisent pas celles des donnes disponibles (lorsque ces statistiques diffrent de celles de l'image d'entranement).Il est

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