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 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

scholarly journals Exact analytic solutions of the porous media and the gas pressure diffusion ODEs in non-linear mechanics

2007 ◽  
Vol 42 (1) ◽  
pp. 157-163 ◽  
Author(s):  
Dimitrios E. Panayotounakos ◽  
Anastasia B. Sotiropoulou ◽  
Nikos B. Sotiropoulos ◽  
Manos Manios
Keyword(s):  
Porous Media ◽  
Analytic Solutions ◽  
Gas Pressure ◽  
Pressure Diffusion ◽  
Exact Analytic Solutions ◽  
Non Linear ◽  
Non Linear Mechanics

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

Upscaling diffusion waves in porous media

2016 ◽  
Vol 448 ◽  
pp. 57-67 ◽  
Author(s):  
Francisco J. Valdés-Parada ◽  
José Álvarez Ramírez ◽  
J. Alberto Ochoa-Tapia
Keyword(s):  
Porous Media ◽  
Diffusion Waves
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