Effective Permeability and Transfer Properties in Fractured Porous Media

Abstract:

Mesoscale analyses of cracked porous volumes are performed. The fluid flows through a multiphase volume comprising one macro-crack, macro-pores and random micro-porous solid inclusions. Mesostructures are defined by thresholding of spatially correlated Gaussian random fields.Transport through macropores and crack, as well as the diffusion in micro-porous solid inclusions, are taken into account. Homogeneous (without cracks) porous volumes illustrated the asymptotical behaviors. The corresponding macroscopic permeability tensors are obtained and correlated with the geometrical/statistical properties of the analyzed porous systems. A new equivalent electrical scheme, including shunt resistance, is proposed to evaluate the apparent diffusion coefficient. Macro-cracked porous volumes are then investigated.The increases in mass flux due to the crack, as well as the mass/energy exchanges with the surrounding porous medium, are quantified by direct numerical simulation. A drying region due to the macrocrack was illustrated and the corresponding apparent permeability was identified. For different geometrical configurations (macro-porosity, micro-porosity, macro-crack orientation and aperture) we quantify the macropore –crack interlink by comparing such structure with structure without possible flow between the macro-crack and the porous structure.The equivalence scheme between mass flow in cracked porous media and heat flow in porous media was underlined.

• Periodical: Defect and Diffusion Forum (Volume 362)
• Pages: 172-189
• DOI: https://doi.org/10.4028/www.scientific.net/DDF.362.172
• Online since: April 2015
• Authors: Giuseppe Rastiello*, R. Bennacer, Georges Nahas, Mateuz Bogdan
• Keywords: Cracked Media, DNS, Effective Thermal Conductivity, Multiscle Approach, Permeability, Porous Media

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