Direct simulation of non-additive properties on unstructured grids

Autor: Yassine Alexandre Perrier, Philippe Renard, Guillaume Caumon, Pierre Biver, Benoit Nœtinger, Pauline Mourlanette
Přispěvatelé: TOTAL-Scientific and Technical Center Jean Féger (CSTJF), TOTAL FINA ELF, Université de Neuchâtel (UNINE), Sorbonne Université (SU), IFP Energies nouvelles (IFPEN), GeoRessources, Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL)-Centre de recherches sur la géologie des matières premières minérales et énergétiques (CREGU)-Institut national des sciences de l'Univers (INSU - CNRS), Ecole Nationale Supérieure de Géologie (ENSG), Université de Lorraine (UL), Total
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Advances in Water Resources
Advances in Water Resources, Elsevier, 2020, 143, pp.103665. ⟨10.1016/j.advwatres.2020.103665⟩
ISSN: 0309-1708
DOI: 10.1016/j.advwatres.2020.103665⟩
Popis: International audience; Uncertainties related to permeability heterogeneity can be estimated using geostatistical simulation methods. Usually, these methods are applied on regular grids with cells of constant size, whereas unstructured grids are more flexible to honor geological structures and offer local refinements for fluid-flow simulations. However, cells of different sizes require to account for the support dependency of permeability statistics (support effect).This paper presents a novel workflow based on the power averaging technique. The averaging exponent ω is estimated using a response surface calibrated from numerical upscaling experiments. Using spectral turning bands, permeability is simulated on points in each unstructured cell, and later averaged with a local value of ω that depends on the cell size and shape.The method is illustrated on a synthetic case. The simulation of a tracer experiment is used to compare this novel geostatistical simulation method with a conventional approach based on a fine scale Cartesian grid. The results show the consistency of both the simulated permeability fields and the tracer breakthrough curves. The computational cost is much lower than the conventional approach based on a pressure-solver upscaling.
Databáze: OpenAIRE