Bulk properties of two‐phase disordered media. III. New bounds on the effective conductivity of dispersions of penetrable spheres

1986 ◽  
Vol 84 (11) ◽  
pp. 6345-6359 ◽  
Author(s):  
S. Torquato
Keyword(s):  
Effective Conductivity ◽  
Disordered Media ◽  
Two Phase ◽  
Bulk Properties ◽  
Penetrable Spheres

scholarly journals The origin of hysteresis and memory of two-phase flow in disordered media

2020 ◽  
Vol 3 (1) ◽  
Author(s):  
Ran Holtzman ◽  
Marco Dentz ◽  
Ramon Planet ◽  
Jordi Ortín
Keyword(s):  
Building Block ◽  
Large Scale ◽  
Disordered Media ◽  
Phase Flow ◽  
Pore Scale ◽  
Two Phase ◽  
Capillary Action ◽  
Spatially Extended ◽  
Quantitative Understanding ◽  
Key Features

AbstractCyclic fluid-fluid displacements in disordered media feature hysteresis, multivaluedness, and memory properties in the pressure-saturation relationship. Quantitative understanding of the underlying pore-scale mechanisms and their extrapolation across scales constitutes a major challenge. Here we find that the capillary action of a single constriction in the fluid passage contains the key features of hysteresis. This insight forms the building block for an ab initio model that provides the quantitative link between the microscopic capillary physics, spatially-extended collective events (Haines jumps) and large-scale hysteresis. The mechanisms identified here apply to a broad range of problems in hydrology, geophysics and engineering.

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