A unified approach to simulation and upscaling of single-phase flow through vuggy carbonates

2011 ◽  
Vol 69 (6) ◽  
pp. 1096-1123 ◽  
Author(s):  
Mayur Pal
Keyword(s):  
Single Phase ◽  
Phase Flow ◽  
Unified Approach ◽  
Single Phase Flow ◽  
Flow Through ◽  
Vuggy Carbonates

Incorporation of Interfacial Areas in Models of Two-Phase Flow

1999 ◽  
Author(s):  
William G. Gray ◽  
Michael A. Celia
Keyword(s):  
Porous Media ◽  
Hydraulic Conductivity ◽  
Single Phase ◽  
Darcy’S Law ◽  
Darcy's Law ◽  
Hydraulic Gradient ◽  
Phase Flow ◽  
Single Phase Flow ◽  
Α Phase ◽  
Flow Through

The mathematical study of flow in porous media is typically based on the 1856 empirical result of Henri Darcy. This result, known as Darcy’s law, states that the velocity of a single-phase flow through a porous medium is proportional to the hydraulic gradient. The publication of Darcy’s work has been referred to as “the birth of groundwater hydrology as a quantitative science” (Freeze and Cherry, 1979). Although Darcy’s original equation was found to be valid for slow, steady, one-dimensional, single-phase flow through a homogeneous and isotropic sand, it has been applied in the succeeding 140 years to complex transient flows that involve multiple phases in heterogeneous media. To attain this generality, a modification has been made to the original formula, such that the constant of proportionality between flow and hydraulic gradient is allowed to be a spatially varying function of the system properties. The extended version of Darcy’s law is expressed in the following form: qα=-Kα . Jα (2.1) where qα is the volumetric flow rate per unit area vector of the α-phase fluid, Kα is the hydraulic conductivity tensor of the α-phase and is a function of the viscosity and saturation of the α-phase and of the solid matrix, and Jα is the vector hydraulic gradient that drives the flow. The quantities Jα and Kα account for pressure and gravitational effects as well as the interactions that occur between adjacent phases. Although this generalization is occasionally criticized for its shortcomings, equation (2.1) is considered today to be a fundamental principle in analysis of porous media flows (e.g., McWhorter and Sunada, 1977). If, indeed, Darcy’s experimental result is the birth of quantitative hydrology, a need still remains to build quantitative analysis of porous media flow on a strong theoretical foundation. The problem of unsaturated flow of water has been attacked using experimental and theoretical tools since the early part of this century. Sposito (1986) attributes the beginnings of the study of soil water flow as a subdiscipline of physics to the fundamental work of Buckingham (1907), which uses a saturation-dependent hydraulic conductivity and a capillary potential for the hydraulic gradient.

Single phase flow through porous media and pore structure

1975 ◽  
Vol 10 (1) ◽  
pp. 1-34 ◽  
Author(s):  
F.A.L. Dullien
Keyword(s):  
Porous Media ◽  
Pore Structure ◽  
Single Phase ◽  
Phase Flow ◽  
Flow Through Porous Media ◽  
Single Phase Flow ◽  
Flow Through

Flow through packed bed reactors: 1. Single-phase flow

2005 ◽  
Vol 60 (24) ◽  
pp. 6947-6957 ◽  
Author(s):  
Damjan Nemec ◽  
Janez Levec
Keyword(s):  
Single Phase ◽  
Packed Bed ◽  
Phase Flow ◽  
Single Phase Flow ◽  
Packed Bed Reactors ◽  
Flow Through

Hydrodynamic Forces, Pressure and Mass Flux in Two-Phase Air-Water Flow Through Transparent Safety Valve Model

2010 ◽  
Author(s):  
Vasilios Kourakos ◽  
Sai¨d Chabane ◽  
Patrick Rambaud ◽  
Jean-Marie Buchlin
Keyword(s):  
Single Phase ◽  
Safety Valve ◽  
Flow Behavior ◽  
Phase Flow ◽  
Single Phase Flow ◽  
Two Phase ◽  
Flow Through ◽  
Static Flow ◽  
Valve Model ◽  
Made In

Safety devices are of major importance in the nuclear and chemical industry. Examples of such systems are safety valves and rupture disks. The behavior of this type of valve in single-phase flow (gas or liquid) has been described in detail in the literature, while for two-phase flow there is a lack of relative models since the phenomena are much more complex. The design and sizing of this apparatus is an important issue which would prevent its wrong functionality that could cause a hazardous situation. In this paper, a transparent (made in Polymethyl methacrylate) model of a safety valve is studied (1 1/2 in G 3 in); this has allowed full optical access and therefore the identification of the structure of the flow and the observation of the different phenomena occurring. Instead of a spring, used in an actual safety valve, the disk is fixed and its position can vary from completely closed to fully opened position. Thus, the static flow behavior of the valve is examined.

Single-phase flow through porous media

AIChE Journal ◽  
1969 ◽  
Vol 15 (6) ◽  
pp. 866-872 ◽  
Author(s):  
John C. Slattery
Keyword(s):  
Porous Media ◽  
Single Phase ◽  
Phase Flow ◽  
Flow Through Porous Media ◽  
Single Phase Flow ◽  
Flow Through

Single-Phase Flow Through Natural Fractures

1988 ◽  
Author(s):  
T.A. Jones ◽  
S.O Wooten ◽  
T.J. Kaluza
Keyword(s):  
Single Phase ◽  
Phase Flow ◽  
Natural Fractures ◽  
Single Phase Flow ◽  
Flow Through
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