Pore-scale derivation of the Ergun equation to enhance its adaptability and generalization

AbstractA new approach to the modelling of wetting fronts in porous media on the Darcy scale is developed, based on considering the types (modes) of motion the menisci go through on the pore scale. This approach is illustrated using a simple model case of imbibition of a viscous incompressible liquid into an isotropic porous matrix with two modes of motion for the menisci, the wetting mode and the threshold mode. The latter makes it necessary to introduce an essentially new technique of conjugate problems that allows one to link threshold phenomena on the pore scale with the motion on the Darcy scale. The developed approach (a) makes room for incorporating the actual physics of wetting on the pore scale, (b) brings in the physics associated with pore-scale thresholds, which determine when sections of the wetting front will be brought to a halt (pinned), and, importantly, (c) provides a regular framework for constructing models of increasing complexity.

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Pore scale study of amphiphilic fluids flow using the Lattice Boltzmann model

International Journal of Heat and Mass Transfer ◽

10.1016/j.ijheatmasstransfer.2019.05.056 ◽

2019 ◽

Vol 139 ◽

pp. 725-735 ◽

Cited By ~ 7

Author(s):

Bei Wei ◽

Jian Hou ◽

Michael C. Sukop ◽

Hao Liu

Keyword(s):

Lattice Boltzmann ◽

Lattice Boltzmann Model ◽

Pore Scale ◽

Boltzmann Model

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Dissolution of Microscale Energetic Residues in Saturated Porous Media: Visualization and Quantification at the Pore-Scale by Spectral Confocal Microscopy

Environmental Science & Technology ◽

10.1021/es201649k ◽

2011 ◽

Vol 45 (19) ◽

pp. 8352-8358 ◽

Cited By ~ 5

Author(s):

Chao Wang ◽

Volha Lazouskaya ◽

Mark E. Fuller ◽

Jeffrey L. Caplan ◽

Charles E. Schaefer ◽

...

Keyword(s):

Porous Media ◽

Confocal Microscopy ◽

Saturated Porous Media ◽

Pore Scale

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Thermodynamics of porous media

Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences ◽

10.1098/rspa.1993.0143 ◽

1993 ◽

Vol 443 (1917) ◽

pp. 247-255 ◽

Cited By ~ 29

Keyword(s):

Porous Media ◽

Elastic Energy ◽

Pore Scale ◽

Equilibrium Thermodynamics ◽

Energy Potential ◽

Macroscopic Variable ◽

Strain Tensors

Equilibrium thermodynamics for porous media is considered with special emphasis on its basis in pore-scale thermodynamics. It is shown that porosity, the new purely macroscopic variable, enters the relations on the same footing as mass densities and the strain tensors. Biot’s use of elastic energy potential, which lies at the foundation of his theory of poroelasticity, is examined in light of the results obtained here.

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