Title: Pore to continuum upscaling of permeability in heterogeneous porous media using mortars

Authors: Tie Sun; Yashar Mehmani; Jaideep Bhagmane; Matthew Thomas Balhoff

Addresses: Petroleum and Geosystems Engineering, University of Texas at Austin, 1 University Station C0300, Austin, TX 78712-0228, USA. ' Petroleum and Geosystems Engineering, University of Texas at Austin, 1 University Station C0300, Austin, TX 78712-0228, USA. ' Petroleum and Geosystems Engineering, University of Texas at Austin, 1 University Station C0300, Austin, TX 78712-0228, USA. ' Petroleum and Geosystems Engineering, University of Texas at Austin, 1 University Station C0300, Austin, TX 78712-0228, USA

Abstract: Pore-scale modelling has become an accepted method for estimating macroscopic properties (such as permeability) that describe flow and transport in porous media. In many cases extracted macroscopic properties compare favourably to experimental measurements. However, computational and imaging restrictions generally limit the network size to the order of 1.0 mm³ and these models often ignore effects of surrounding flow behaviour. In this work permeability is upscaled in large (~106 pores), heterogeneous pore-scale network models using an efficient domain decomposition method. The large pore network is decomposed into 100 smaller networks (sub-domains) and then coupled with the surrounding models to determine accurate boundary conditions. Finite element mortars are used as a mathematical tool to ensure interfacial pressures and fluxes are matched at the network boundaries. The results compare favourably to the more computationally intensive (and impractical) approach of upscaling the medium as a single model. Additionally, the results are more accurate than straightforward hierarchical upscaling methods. [Received: April 11, 2011; Accepted: July 05, 2011]

Keywords: pore scale networks; continuum scale; mortar coupling; upscaling; porous media; heterogeneous; multiscale modelling; network modelling; permeability; finite element method; FEM; interfacial pressure.

DOI: 10.1504/IJOGCT.2012.046323

International Journal of Oil, Gas and Coal Technology, 2012 Vol.5 No.2/3, pp.249 - 266

Available online: 03 Apr 2012 *

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