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Description
This work focuses on single phase compressible gas flow in porous media, especially hydrogen H2 or other gases like air. It includes a comprehensive literature review on analytical approaches to gas flow, Klinkenberg effect, and other effects like gravitational acceleration (super-gravity cases).
The review investigates previous findings for ideal gas flow under isothermal conditions under various conditions – including one-dimensional (1D) permeametric flow conditions – taking into account perfect gas compressibility and the Klinkenberg effect due to gas slippage in fine pores.
Usually, gravitational acceleration is neglected in the gas flow literature: this classical assumption is assessed quantitatively, and a new 1D analytical solution is developed at steady state for the case of strong gravitational acceleration, as may arise under centrifugal conditions.
On the other hand, a new analytical solution is developed for 1D space-time gas pressure profiles and for mass flux density profiles in the porous column, with or without Klinkenberg effect. This analytical solution is tested and compared to numerical simulations, both Finite Volume and Finite Element. Both the gas pressure profiles and the mass flux density profiles approach the exact steady state at large times. Furthermore, it is demonstrated that the proposed analytical solution for gas pressure is a fair approximation over a broad range of time scales, from early times up to large times approaching steady state.
KEYWORDS:
Porous media flow; Compressible gas flow; Darcy’s law; Klinkenberg permeability;·Analytical solutions; Porous Claystone
REFERENCES:
Ababou R., M. H. Bahlouli, Z. Saâdi, I. Cañamón Valera (2025). Single Phase Compressible Gas Flow in Porous Media: Review and Advances. Transport in Porous Media. Vol.152, Issue 89 (2025), pp.1-54, https://doi.org/10.1007/s11242-025-02226-9
| References | Ababou R., M. H. Bahlouli, Z. Saâdi, I. Cañamón Valera (2025). Single Phase Compressible Gas Flow in Porous Media: Review and Advances. Transport in Porous Media. Vol.152, Issue 89 (2025), pp.1-54, https://doi.org/10.1007/s11242-025-02226-9 |
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| Country | France |
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