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ISO-5167: 2003 Orifice Calculations | |
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ProgramsAGA (AGA-3) and
The programs
let you calculate the following orifice-types:
-Gas
Orifice
-Liquid
Orifice
-Restriction
Orifice - Gas
-Restriction
Orifice - Liquid
For
gas-calculations you have to enter specific gas gravity, temperature
and pressure. You can also give mole-fractions of N2, CO2 and H2S for
sour gas calculations.
The AGA-8
equation is used for calculating Z-factor (compressibility factor) for
natural gases, and the Redlich-Kwong
equation of state for air and nitrogen.
For
oil-calculations you have to enter specific oil gravity, temperature
and pressure. It is also recommended to give molecular weight of oil.
For water-calculations the input requirements are salinity,
temperature, and pressure.
NOTE: It is
assumed that all dissolved solids for water are expressed as equivalent
sodium chloride concentration.
The
results are an orifice specification sheet giving the necessary data
for design of an orifice or evaluating an existing orifice.
The results
will contain a few factors that you should know:
The velocity of
approach factor is defined as:
Ev = 1/(Sqrt(1-Beta^4))
The flow
coefficient, Alpha, is defined as:
Alpha = Ev * Cd
and orifice to
pipe diameter ratio is given as:
Beta = OD/PID
The basic flow
equation is:
Qv = Fn*(Fc+Fsl)*Y1*Fpb*Ftb*Ftf*Fgr*Fpv*Sqrt(Pf1*hw)
where
Fn = Numeric
conversion factor
Cd = Discharge coefficient = (Fc + Fsl)
Fc = Orifice calculation factor
Fsl= Slope factor
Y1 = Expansion
factor based on upstream tap
Fpb= Pressure base factor, set
to 1.0 (14.73 psia)
Ftb= Temperature base factor,
set to 1.0 (60 deg F)
Ftf= Flowing temperature factor
Fgr= Specific gravity factor
Fpv= Super-compressibility
factor
Pf1= Absolute
flowing pressure based on upstream tap
hw = Orifice
differential pressure, in H2O at 60 deg F
The above
equation is often simplified to:
Qv = C' * Sqrt(Pf1*hw)
where C' is
called the Composite orifice flow factor.
For other
factors and the factors for pipe taps you are advised to consult the
standard
The basic flow
equation is:
Qm = C*E*Eps*Pi/4*OD^2*Sqrt(2*dP*Roh)
where
Qm = Mass flow rate (kg/s)
C = Discharge
coefficient = Alpha/E
E = Velocity of
approach factor = 1/(Sqrt(1-Beta^4))
Eps = Expansion factor due to
pressure drop
Pi = 3.14159
OD = Orifice
diameter at actual flowing conditions
dP = Differential pressure
across orifice
Roh = Density of flowing fluid
measured at upstream tap
For other
factors consult the standard
WatGascalculates Water-Natural gas phase behavior,
and includes the following types of calculations:
-Hydrate formation calculations
-Water content predictions of natural gases
-Inhibitor quantities (methanol/glycols) to
avoid hydrate problems in pipelines
The
program handles gases with known compositions and non-compositional
gases (only gas gravity is needed). Note that the compositional model
is more reliable than the non-compositional model, although they give
similar results.
Almost
all gases contain some water vapor.
When leaving the producing formation, gas is saturated with water vapor, which is in equilibrium
with reservoir liquid water at temperatures and pressures prevailing
there.
Knowing
the water content of natural gases is essential to the design and
operation of production, dehydration and transmission systems. Water
may condense in production and gathering systems. This may result in
hydrate formation and plugging of flow systems and damage to internals
of production equipment.
Condensed
water may form water slugs, which will tend to decrease flow efficiency
and increase the pressure drop in a line. Presence of free water in
pipeline systems may also cause corrosion. If carbon dioxide and/or
hydrogen sulfide are
present, the gases may form carbonic acid and sulphurous acid
respectively if dissolved in water.
Program GOWProp (Gas-Oil-Water Physical Properties)
Oil
properties are calculated based on a black-oil model. In fluid-property
terms the black-oil model employs 2 pseudo-components:
1)
"OIL" defined as produced oil at stock tank conditions
2)
"GAS" defined as produced separator gas
The
basic assumption is that gas may dissolve in the oil phase, but oil
will not dissolve in the gas phase. For mixtures of heavy oil and light
components this is a reasonable assumption, but is a misleading
assumption for mixtures of light and intermediate components.
The following
fluids are included:
Gases:
-Natural
gas
-Nitrogen
-Air
Liquids:
-Oil
-Water
-Methanol/Water
mixtures
-Monoethylene
glycol/Water mixtures
-Diethylene
glycol/Water mixtures
-Triethylene
glycol/Water mixtures
GOWProp will let you
choose between SI-units (metric) or Customary units.
The gas
property routine calculates:
-Molecular
weight
-Density
-Compressibility
-Gas
formation volume factor
-Z-factor
(gas deviation factor)
-Viscosity
-Thermal
conductivity
-Specific
heat
-Ideal
isentropic coefficient, Cp/Cv
-Real
isentropic coefficient, k
-Pseudo
Critical properties
-Pseudo
Reduced properties
The liquid
property routine calculates:
-API
gravity (for oil only)
-Density
-Compressibility
-Formation
volume factor (oil and water only)
-Solution
gas-liquid ratio (oil and water only)
-Bubble
point pressure (oil only)
-Viscosity
-Thermal
conductivity
-Surface
tension
-Specific
heat
-Pseudo
Critical properties
-Pseudo
Reduced properties
A
pressure liberation table of properties (at constant temperature) will
also presented from given pressure down to atmospheric conditions
(14.696 psia [1.01325 Bara]).
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Last Revised: Mar, 2013