A second order of accuracy stable implicit difference scheme for a two-phase fluid flow model

2012 ◽  
Author(s):  
Abdullah Said Erdogan ◽  
Ali Ugur Sazaklioglu
Keyword(s):  
Fluid Flow ◽  
Difference Scheme ◽  
Flow Model ◽  
Second Order ◽  
Implicit Difference Scheme ◽  
Two Phase ◽  
Order Of Accuracy ◽  
Phase Fluid

scholarly journals On the Second Order of Accuracy Stable Implicit Difference Scheme for Elliptic-Parabolic Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-13
Author(s):  
Allaberen Ashyralyev ◽  
Okan Gercek
Keyword(s):  
Difference Scheme ◽  
Parabolic Equations ◽  
Nonlocal Boundary Condition ◽  
Nonlocal Boundary ◽  
Approximate Solutions ◽  
Second Order ◽  
Well Posedness ◽  
Parabolic Differential Equations ◽  
Implicit Difference Scheme ◽  
Order Of Accuracy

We are interested in studying a second order of accuracy implicit difference scheme for the solution of the elliptic-parabolic equation with the nonlocal boundary condition. Well-posedness of this difference scheme is established. In an application, coercivity estimates in Hölder norms for approximate solutions of multipoint nonlocal boundary value problems for elliptic-parabolic differential equations are obtained.

scholarly journals Effects of coupled hydro-mechanical model considering two-phase fluid flow on potential for shallow landslides: a case study in Halmidang Mountain, Yongin, South Korea

2019 ◽  
Author(s):  
Sinhang Kang ◽  
Byungmin Kim
Keyword(s):  
Fluid Flow ◽  
Slope Stability ◽  
Single Phase ◽  
Flow Model ◽  
Coupled Model ◽  
Shallow Landslides ◽  
Single Phase Flow ◽  
Two Phase ◽  
Fully Coupled ◽  
Phase Fluid

Abstract. More than 30 shallow landslides were caused by heavy rainfall that occurred on July 26 and 27, 2011, in Halmidang Mountain, Yongin-si, Gyeonggi Province, South Korea. To precisely analyze shallow landslides and to reflect the mechanism of fluid flow in void spaces of soils, we apply a fully coupled hydro-mechanical model considering two-phase fluid flow of water and air. The available GIS-based topographic data, geotechnical and hydrological properties, and historical rainfall data are used for infiltration and slope stability analyses. Changes in pore air and water pressures and saturations of air and water are obtained from the infiltration analysis, which were used to calculate the safety factor for slope stability assessment. By comparing the results from numerical models by applying a single-phase flow model and a fully coupled model, we investigate the effects of air flow and variations in hydraulic conductivity affected by stress–strain behavior of soil on slope stability. Our results suggest that air flow and hydro-mechanical coupling affects the rate of increase in pore water pressure, thus influencing the safety factor on slopes when ponding is more likely to occur during heavy rainfall. Finally, we conduct slope failure assessments using the fully coupled model, slightly more consistent with actual landslide events than the single-phase flow model.

Two-phase fluid flow properties of cataclastic fault rocks: Implications for CO2 storage in saline aquifers

Geology ◽  
2012 ◽  
Vol 40 (1) ◽  
pp. 39-42 ◽  
Author(s):  
Christian Tueckmantel ◽  
Quentin J. Fisher ◽  
Tom Manzocchi ◽  
Sergey Skachkov ◽  
Carlos A. Grattoni
Keyword(s):  
Fluid Flow ◽  
Co2 Storage ◽  
Saline Aquifers ◽  
Flow Properties ◽  
Two Phase ◽  
Fault Rocks ◽  
Phase Fluid

Modeling two-phase fluid flow and rock deformation in fractured porous media

Poromechanics ◽  
2020 ◽  
pp. 333-338
Author(s):  
M. Bai ◽  
F. Meng ◽  
J.-C. Roegiers ◽  
Y. Abousleiman
Keyword(s):  
Porous Media ◽  
Fluid Flow ◽  
Fractured Porous Media ◽  
Rock Deformation ◽  
Two Phase ◽  
Phase Fluid

scholarly journals Pore-network modeling and determination of rock and two-phase fluid flow properties

2021 ◽  
Vol 143 (3) ◽  
pp. 106-114
Author(s):  
Zh.K. Akasheva ◽  
◽  
D.A. Bolysbek ◽  
B.K. Assilbekov ◽  
A.K. Yergesh ◽  
...  
Keyword(s):  
Fluid Flow ◽  
Network Modeling ◽  
Pore Network ◽  
Flow Properties ◽  
Two Phase ◽  
Pore Network Modeling ◽  
Phase Fluid

Mathematical simulation of two-phase fluid flow through a water-flooded porous reservoir with sediment formation

2011 ◽  
Vol 46 (1) ◽  
pp. 90-96
Author(s):  
G. R. Idrisova ◽  
L. A. Kovaleva ◽  
M. V. Mavletov ◽  
A. A. Musin
Keyword(s):  
Fluid Flow ◽  
Mathematical Simulation ◽  
Two Phase ◽  
Sediment Formation ◽  
Porous Reservoir ◽  
Flow Through ◽  
Phase Fluid
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