scholarly journals Propagation of pore pressure diffusion waves in saturated porous media

2015 ◽  
Vol 117 (13) ◽  
pp. 134902 ◽  
Author(s):  
Duoxing Yang ◽  
Qi Li ◽  
Lianzhong Zhang
Keyword(s):  
Porous Media ◽  
Pore Pressure ◽  
Saturated Porous Media ◽  
Diffusion Waves ◽  
Pressure Diffusion

On the effect of pore pressure on the isotropic behavior of saturated porous media

1997 ◽  
Vol 81 (11) ◽  
pp. 7148-7152 ◽  
Author(s):  
H. Kytömaa ◽  
M. Kataja ◽  
J. Timonen
Keyword(s):  
Porous Media ◽  
Pore Pressure ◽  
Saturated Porous Media

scholarly journals Pressure diffusion waves in porous media

2003 ◽  
Author(s):  
Dmitry Silin ◽  
Valeri Korneev ◽  
Gennady Goloshubin
Keyword(s):  
Porous Media ◽  
Diffusion Waves ◽  
Pressure Diffusion

scholarly journals Propagation of Pore Pressure and Stress in Saturated Porous Media Based on a Darcy-Brinkman Formulation

Geofluids ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Duoxing Yang ◽  
Lianzhong Zhang
Keyword(s):  
Porous Media ◽  
Phase Velocity ◽  
Pore Pressure ◽  
Characteristic Frequency ◽  
Mathematic Model ◽  
Compressional Wave ◽  
Damping Factor ◽  
Phase Lag ◽  
Saturated Porous Media ◽  
Viscous Shear

Propagation of pore pressure and stress in water-saturated elastic porous media is theoretically investigated when considering the Darcy-Brinkman law. The wave mode, phase velocity, phase lag, damping factor, and characteristic frequency are found from the updated mathematic model. The Brinkman term describes the fluid viscous shear effects and importantly contributes to the dispersion relation and wave damping. The coincidence of the properties of Biot waves of the first and second kinds occurs at a characteristic frequency, which is remarkably influenced by the Brinkman term. A key finding is that, compared to the Darcy-Brinkman law, Darcy’s law overestimates the phase velocity, damping, and phase lag of the first wave, while underestimates the phase velocity, damping, and phase difference of the second wave. The introduction of the Darcy-Brinkman law yields an improved description of the damping of the compressional wave modes in saturated porous media.

scholarly journals A unified modelling and simulation for coupled anomalous transport in porous media and its finite element implementation

2021 ◽  
Author(s):  
O. Barrera
Keyword(s):  
Finite Element ◽  
Porous Media ◽  
Diffusion Equation ◽  
Pore Pressure ◽  
Large Scale ◽  
Anomalous Transport ◽  
Computational Framework ◽  
Transient Phenomena ◽  
Large Scale Structures ◽  
Pressure Diffusion

AbstractThis paper presents an unified mathematical and computational framework for mechanics-coupled “anomalous” transport phenomena in porous media. The anomalous diffusion is mainly due to variable fluid flow rates caused by spatially and temporally varying permeability. This type of behaviour is described by a fractional pore pressure diffusion equation. The diffusion transient phenomena is significantly affected by the order of the fractional operators. In order to solve 3D consolidation problems of large scale structures, the fractional pore pressure diffusion equation is implemented in a finite element framework adopting the discretised formulation of fractional derivatives given by Grunwald–Letnikov (GL). Here the fractional pore pressure diffusion equation is implemented in the commercial software Abaqus through an open-source UMATHT subroutine. The similarity between pore pressure, heat and hydrogen transport is also discussed in order to show that it is possible to use the coupled thermal-stress analysis to solve fractional consolidation problems.

scholarly journals Propagation of pore pressure diffusion waves in saturated dual-porosity media (II)

2016 ◽  
Vol 119 (15) ◽  
pp. 154901 ◽  
Author(s):  
Duoxing Yang ◽  
Qi Li ◽  
Lianzhong Zhang
Keyword(s):  
Pore Pressure ◽  
Dual Porosity ◽  
Diffusion Waves ◽  
Pressure Diffusion
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