Non-local diffusion models for fractured porous media with pressure tests applications
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In this work, different Generalized Double Porosity Models for anomalous fluid flow in fractured porous media are presented, and transient production decline applications discussed. The effects of subdiffusive and superdiffusive flows in fracture networks coupled to subdiffusive transport inside the matrix are explored, and some insights into how to identify these types of flow in geological formations like aquifers and oil fields, through transient production decline analysis are given. Additionally, we discuss different interpretations of the models parameters that allow, under the same analysis, to estimate the length scales of the system main heterogeneities. Moreover, we show that superdiffusive flow regimes could be a consequence of highly heterogeneous porous systems described by scale-free permeability distributions. Finally, we show that the use of non-local models of the type herein discussed, admit a novel way to construct effective single porosity models for the long time description of double porosity systems. © 2021 Elsevier Ltd
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Anomalous transport; Double porosity; Fluid flow; Non-local diffusion; Porous media Aquifers; Fracture; Hydrogeology; Oil fields; Petroleum transportation; Porosity; Porous materials; Double porosity model; Fracture network; Fractured porous media; Geological formation; Nonlocal diffusion; Permeability distribution; Production decline analysis; Production declines; Flow of fluids; diffusion; flow modeling; fluid flow; fracture network; porosity; porous medium
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