scholarly journals The Richards equation with hysteresis and degenerate capillary pressure

2012 ◽  
Vol 252 (10) ◽  
pp. 5594-5612 ◽  
Author(s):  
Ben Schweizer
Keyword(s):  
Capillary Pressure ◽  
Richards Equation

scholarly journals Two-phase flow equations with a dynamic capillary pressure

2012 ◽  
Vol 24 (1) ◽  
pp. 49-75 ◽  
Author(s):  
JAN KOCH ◽  
ANDREAS RÄTZ ◽  
BEN SCHWEIZER
Keyword(s):  
Capillary Pressure ◽  
Two Phase Flow ◽  
Immiscible Fluids ◽  
Richards Equation ◽  
Phase Flow ◽  
Two Phase ◽  
Compactness Result ◽  
Flow Equations ◽  
Two Phases ◽  
Capillary Pressure Curves

We investigate the motion of two immiscible fluids in a porous medium described by a two-phase flow system. In the capillary pressure relation, we include static and dynamic hysteresis. The model is well established in the context of the Richards equation, which is obtained by assuming a constant pressure for one of the two phases. We derive an existence result for this hysteresis two-phase model for non-degenerate permeability and capillary pressure curves. A discretization scheme is introduced and numerical results for fingering experiments are obtained. The main analytical tool is a compactness result for two variables that are coupled by a hysteresis relation.

Correlation of Data Obtained by Radiocardiography and Right-Heart Catheterization in Cardiac Patients

1968 ◽  
Vol 07 (02) ◽  
pp. 125-129
Author(s):  
J. Měštan ◽  
V. Aschenbrenner ◽  
A. Michaljanič
Keyword(s):  
Capillary Pressure ◽  
Transit Time ◽  
Right Heart Catheterization ◽  
Heart Catheterization ◽  
Right Heart ◽  
Pulmonary Capillary ◽  
Filling Time ◽  
Pulmonary Capillary Pressure ◽  
The Mean ◽  
Pulmonary Transit Time

SummaryIn patients with acquired and congenital valvular heart disease correlations of the parameters of the radiocardiographic curve (filling time of the right heart, minimal pulmonary transit time, peak-to-peak pulmonary transit time, and the so-called filling time of the left heart) with the mean pulmonary artery pressure and the mean pulmonary “capillary” pressure were studied. Further, a regression equation was determined by means of which the mean pulmonary “capillary” pressure can be predicted.

SOLUTION OF THE RICHARDS EQUATION IN A SOIL PROFILE WITH TWO LAYERS USING THE METHOD OF LINES

2020 ◽  
Author(s):  
Diego Sousa Lopes ◽  
Augusto Cezar Cordeiro Jardim ◽  
Diego Estumano ◽  
Emanuel Macêdo ◽  
João Quaresma
Keyword(s):  
Soil Profile ◽  
Method Of Lines ◽  
Richards Equation ◽  
The Method Of Lines
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