Estimating Permeability and Its Scale Dependence at Pore Scale Using Renormalization Group Theory

Abstract

Understanding flow and transport processes at large scales (e.g., field) has always been challenging due to spatial and temporal variations and complexities. Accordingly, upscaling approaches have been widely applied to determine the value of a property at a larger scale (e.g., field) from available characteristics at a smaller scale (e.g., core). Due to its broad practical applications, upscaling has been an active subject of research in various research areas, such as hydrology, civil, chemical and petroleum engineering, and soil physics.One of the most important hydraulic and petrophysical properties of porous media is permeability, the capability of a soil or rock to allow the passage of fluid through it. Therefore, over the past decades, numerous studies focused on its modeling and estimation across scales. For instance, at the core scale, permeability can be estimated either from pore-scale properties, such as pore-throat radius distribution (

The Transformative Role of Group Theory in Physics

“…Notably, the utilization of groups aids in elucidating the process of quantifying angular momentum and comprehending the conduct of elementary particles like electrons and quarks. For instance, the orthogonal group in three dimensions, commonly denoted as SO (3), assumes a pivotal position in this context [4]. Within the discipline of electromagnetism, researchers investigate the fundamental principles that regulate electric and magnetic fields.…”

Comprehensive Study of Development Strategies for High-Pressure, Low-Permeability Reservoirs

“…Water flooding, with its economic advantages, remains the primary development method for low-permeability reservoirs. During the process of reservoir exploitation, as pore pressure decreases, the effective pressure on the reservoir increases, causing rocks to undergo elastic-plastic deformation, leading to partial or complete irreversible changes in permeability and porosity [7][8][9][10][11][12]. For continuous water flooding, the injected water generally flows along the high permeability channel, and the displacement efficiency is low.…”