Surface Area Analysis by Means of Gas Flow Methods. I. Steady State Flow in Porous Media

1953 ◽  
Vol 57 (3) ◽  
pp. 330-333 ◽  
Author(s):  
Gerard Kraus ◽  
John W. Ross ◽  
L. A. Girifalco
Keyword(s):  
Porous Media ◽  
Steady State ◽  
Surface Area ◽  
Gas Flow ◽  
Flow In Porous Media ◽  
Steady State Flow ◽  
State Flow

Identification of a Steady-State Flow in Porous Media Using Artificial Neural Networks

2012 ◽  
Author(s):  
Marek J. Lefik ◽  
Daniela P. Boso ◽  
Bernhard A. Schrefler
Keyword(s):  
Neural Networks ◽  
Porous Media ◽  
Artificial Neural Networks ◽  
Steady State ◽  
Concentration Field ◽  
Flow In Porous Media ◽  
Homogeneous Field ◽  
Steady State Flow ◽  
Convection Problem ◽  
Artificial Neural

For a steady state convection problem, assuming given concentration field values in a few measurement points and hydraulic head values in the same piezometers, the source of the concentration, and its intensity are deduced using Artificial Neural Networks (ANNs). ANNs are trained with data extracted from Finite Difference (FD) solution of a classical convection problem for small Peclet number. The numerical analysis is exemplified for vanishing, homogeneous and non-homogeneous field of velocity. It is shown that the diffusivity vector can also be identified. The complexity of the problem is discussed for each studied case.

scholarly journals Fluid Meniscus Algorithms for Dynamic Pore-Network Modeling of Immiscible Two-Phase Flow in Porous Media

2021 ◽  
Vol 8 ◽  
Author(s):  
Santanu Sinha ◽  
Magnus Aa. Gjennestad ◽  
Morten Vassvik ◽  
Alex Hansen
Keyword(s):  
Porous Media ◽  
Steady State ◽  
Two Phase Flow ◽  
Pore Network ◽  
Flow In Porous Media ◽  
Pore Network Model ◽  
Phase Flow ◽  
Steady State Flow ◽  
Two Phase ◽  
Dynamic Pore Network

We present in detail a set of algorithms for a dynamic pore-network model of immiscible two-phase flow in porous media to carry out fluid displacements in pores. The algorithms are universal for regular and irregular pore networks in two or three dimensions and can be applied to simulate both drainage displacements and steady-state flow. They execute the mixing of incoming fluids at the network nodes, then distribute them to the outgoing links and perform the coalescence of bubbles. Implementing these algorithms in a dynamic pore-network model, we reproduce some of the fundamental results of transient and steady-state two-phase flow in porous media. For drainage displacements, we show that the model can reproduce the flow patterns corresponding to viscous fingering, capillary fingering and stable displacement by varying the capillary number and viscosity ratio. For steady-state flow, we verify non-linear rheological properties and transition to linear Darcy behavior while increasing the flow rate. Finally we verify the relations between seepage velocities of two-phase flow in porous media considering both disordered regular networks and irregular networks reconstructed from real samples.

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