Non-local diffusion models for fractured porous media with pressure tests applications

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.

Automated summary

This study presents different Generalized Double Porosity Models for anomalous fluid flow in fractured porous media and discusses their applications in transient production decline. It explores the effects of subdiffusive and superdiffusive flows in fracture networks, coupled with subdiffusive transport inside the matrix, and provides insights into identifying these types of flow in geological formations. Additionally, it discusses different interpretations of model parameters for estimating the length scales of system main heterogeneities and shows that superdiffusive flow regimes could result from highly heterogeneous porous systems with scale-free permeability distributions. Finally, it demonstrates that the use of non-local models discussed here allows for a novel way to construct effective single porosity models for describing double porosity systems over the long term.