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Efficiency of a two-step upscaling method for permeability evaluation at Darcy and pore scales |
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| Authors: | Pierre Horgue Romain Guibert Hervé Gross Patrice Creux Gérald Debenest |
| Institution: | 1. INPT, UPS, IMFT (Institut de Mécanique des Fluides de Toulouse), Université de Toulouse, Allée, Allée Camille Soula, 31400, Toulouse, France 2. Advanced Resources and Risk Technology, LLC, Sunnyvale, CA, USA 3. UMR 5150 CNRS-Total-UPPA, Université de Pau, Avenue de l’université, 64013, Pau Cedex, France |
| Abstract: | This work presents a new subdivision method to upscale absolute permeability fields. This process, called two-step method, consists in (i) solving micro-scale equations on subdomains obtained from the full domain regular decomposition and (ii) solve a second upscaling with Darcy’s law on the permeability fields obtained in the first step. The micro-scale equations used depend on the case studied. The two-step upscaling process is validated on randomly generated Darcy-scale permeability fields by measuring the numerical error induced by upscaling. The method is then applied to real domains obtained from sandstone micro-tomographic images. The method specificities due to pore-space structure are discussed. The main advantage of the two-step upscaling method resides in the drastic reduction of computational costs (CPU time and memory usage) while maintaining a numerical error similar to that of other upscaling procedures. This new upscaling method may improve permeability predictions by the use of finer meshes or larger sample volumes. |
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