A new upscaling method for fractured porous media |
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| Institution: | 1. Department of Gynecology, Federal Fluminense University, Niterói, Brazil;2. Endoscopic Gynecology Service, Central Hospital Aristarcho Pessoa, Rio de Janeiro, Brazil;3. Federal University of Rio Grande do Sul, Porto Alegre, Brazil;4. Clinic of Gynecology, Obstetrics and Gynecological Oncology, Pius-Hospital Oldenburg, and School of Medicine and Health Sciences, Carl von Ossietzky University, Oldenburg, Germany |
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| Abstract: | We present a method to determine equivalent permeability of fractured porous media. Inspired by the previous flow-based upscaling methods, we use a multi-boundary integration approach to compute flow rates within fractures. We apply a recently developed multi-point flux approximation Finite Volume method for discrete fracture model simulation. The method is verified by upscaling an arbitrarily oriented fracture which is crossing a Cartesian grid. We demonstrate the method by applying it to a long fracture, a fracture network and the fracture network with different matrix permeabilities. The equivalent permeability tensors of a long fracture crossing Cartesian grids are symmetric, and have identical values. The application to the fracture network case with increasing matrix permeabilities shows that the matrix permeability influences more the diagonal terms of the equivalent permeability tensor than the off-diagonal terms, but the off-diagonal terms remain important to correctly assess the flow field. |
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| Keywords: | Fractured porous media Upscaling Long fracture Fracture network |
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