One-Dimensional Model of Two-Phase Fluid Displacement in a Slot with Permeable Walls

2017 ◽  
Keyword(s):  
Dimensional Model ◽  
Two Phase ◽  
One Dimensional ◽  
Fluid Displacement ◽  
Permeable Walls ◽  
Phase Fluid

scholarly journals Numerical modeling of multiphase mass transfer processes in fractured-porous reservoirs

2021 ◽  
Vol 2131 (2) ◽  
pp. 022002
Author(s):  
Yu O Bobreneva ◽  
P I Rahimly ◽  
Yu A Poveshchenko ◽  
V O Podryga ◽  
L V Enikeeva
Keyword(s):  
Mass Transfer ◽  
Difference Scheme ◽  
Water Saturation ◽  
Splitting Method ◽  
Double Porosity ◽  
Two Phase ◽  
One Dimensional ◽  
Field Development ◽  
Porous Reservoirs ◽  
Phase Fluid

Abstract The paper presents an algorithm for solving the problem of the process of mass transfer of a two-phase fluid in a fractured-porous reservoir in a one-dimensional formulation. The presence of natural fractures in such reservoirs impedes various types of exploration and field development. Fractured-porous reservoirs are characterized by intense exchange fluid flow between fractures and porous blocks. Each system has its own individual set of filtration-capacity parameters, and this fact complicates the problem under consideration. To study the mass transfer of a two-phase fluid in a medium with double porosity, a four-block mathematical model with splitting by physical processes is proposed. The model is described by a system of partial differential equations. The splitting method forms two functional blocks on the water saturation and the piezoconductivity. For the numerical solution of this system, an absolutely stable implicit finite-difference scheme is constructed in the one-dimensional case. On the basis of the proposed difference scheme, pressures and saturations in the fracture system and matrix are obtained.

Mathematical modeling of dispersed media flows in the presence of nucleation, coagulation and phase transitions

2021 ◽  
Vol 102 (2) ◽  
pp. 14-24
Author(s):  
T.R. Amanbaev ◽  
◽  
G.E. Tilleuov ◽  
A. Zuparbekova ◽  
◽  
...  
Keyword(s):  
Phase Transitions ◽  
Saturation Temperature ◽  
Dimensional Model ◽  
Two Phase ◽  
One Dimensional ◽  
Dispersed Medium ◽  
Nucleation Model ◽  
Coagulation Equation ◽  
Media Flows ◽  
Vapor Temperature

A model of motion of a gas-dispersed medium in the presence of processes of nucleation, coagulation and phase transitions has been constructed. A homogeneous nucleation model is used to describe the nucleation process. It is believed that the process of cluster coagulation occurs due to their Brownian motion. The analysis of the solution of the coagulation equation in the particular case of monodisperse clusters in the presence of a source and sink of particles is carried out. To determine the rate of phase transitions the Hertz-KnudsenLangmuir formula is used. The calculations were carried out on the basis of a quasi-one-dimensional model within the equilibrium approximation (when the velocities and temperatures of the phases coincide). As a result of the study the main properties of the flow of a two-phase mixture in a channel in the presence of nucleation, coagulation, and phase transformations have been established. It is shown that the vapor temperature increases along the channel and reaches the saturation temperature at some distance from the channel entrance. Calculations have shown that the coagulation process has a rather strong effect on the distribution of cluster sizes along the channel.

scholarly journals Calculation of Two-Phase Dispersed Droplet-In-Vapor Flows Including Normal Shock Waves

1978 ◽  
Vol 100 (3) ◽  
pp. 355-362 ◽  
Author(s):  
W. J. Comfort ◽  
T. W. Alger ◽  
W. H. Giedt ◽  
C. T. Crowe
Keyword(s):  
Shock Waves ◽  
Normal Shock ◽  
Vapor Flow ◽  
Dimensional Model ◽  
Two Phase ◽  
One Dimensional ◽  
Pressure Profiles ◽  
Pressure Equilibrium ◽  
Temperature And Pressure ◽  
Measured Pressure

A method for calculating quasi-one-dimensional, steady-state, two-phase dispersed droplet-in-vapor flow has been developed. The technique is applicable to both subsonic and supersonic single component flow in which normal shock waves may occur, and is the basis for a two-dimensional model. The flow is assumed to be inviscid except for droplet drag. Temperature and pressure equilibrium between phases is assumed, although this is not a requirement of the technique. Example calculations of flow in one-dimensional nozzles with and without normal shocks are given and compared with experimentally measured pressure profiles for both low quality and high quality two-phase steam-water flow.

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