APPLICATION OF GLIMM SCHEME FOR DESCRIBING FLOW THROUGH POROUS MEDIA WITH KINEMATICAL CONSTRAINED FLUID FRACTION

2020 ◽  
Author(s):  
Daniel Cunha da Silva ◽  
Maria Laura Martins-Costa ◽  
ROGERIO GAMA
Keyword(s):  
Porous Media ◽  
Flow Through Porous Media ◽  
Glimm Scheme ◽  
Fluid Fraction ◽  
Flow Through

scholarly journals A New Constitutive Relation for Describing the Flow through Porous Media with Unsaturated–Saturated Transition

2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
Maria Laura Martins-Costa ◽  
Daniel Cunha da Silva ◽  
Michele Cunha da Silva ◽  
Rogério Martins Saldanha da Gama
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Constitutive Relation ◽  
Porous Matrix ◽  
Flow Through Porous Media ◽  
First Derivative ◽  
Fluid Fraction ◽  
Flow Through ◽  
Matrix Resistance ◽  
Increasing Function

The present work proposes an adequate constitutive relation to treat the process of filling with a fluid porous medium. This relation assures the problem to remain hyperbolic when the porous medium is saturated by the fluid. When the fluid fraction reaches porosity, the proposed constitutive relation increases the porous matrix resistance to more fluid inlet due to an important feature: it is a continuous and differentiable function with first derivative being also an increasing function. This allows assuring that the fluid fraction may exceed the porosity only by a very small value, making the constitutive relation realistic. Some examples compare this new constitutive relation with previous ones, highlighting its advantages.

Theory of Coalescence by Flow through Porous Media

1972 ◽  
Vol 11 (1) ◽  
pp. 66-72 ◽  
Author(s):  
Lloyd A. Spielman ◽  
Simon L. Goren
Keyword(s):  
Porous Media ◽  
Flow Through Porous Media ◽  
Flow Through
Sign in / Sign up

Export Citation Format

Share Document