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Part 3 – Natural <strong>gas</strong> applications; <strong>and</strong><br />

Part 4 – Background, development, implementation procedures, <strong>and</strong> subrout<strong>in</strong>e documentation.<br />

The st<strong>and</strong>ard recognizes that many factors contribute to the overall measurement <strong>uncerta<strong>in</strong>ty</strong> associated<br />

with many meter<strong>in</strong>g applications, as summarized <strong>in</strong> Exhibit 3-1.<br />

EXHIBIT 3-1: FACTORS CONTRIBUTING TO MEASUREMENT<br />

UNCERTAINTY FOR ORIFICE METERS<br />

a) Tolerances <strong>in</strong> prediction of coefficient of discharge<br />

− Derivation of the basic flow equation for an orifice flowmeter is based on physical laws.<br />

− Any derivation is accurate when all assumptions used to develop the equation are valid.<br />

− The empirical equation for the coefficient of discharge that is <strong>in</strong>cluded <strong>in</strong> API 14.3 (Reference 16) was developed<br />

from a large database with well-controlled <strong>and</strong> quantified <strong>in</strong>dependent variables.<br />

b) Predictability <strong>in</strong> def<strong>in</strong><strong>in</strong>g the physical properties of the flow<strong>in</strong>g fluid<br />

− All empirical equations <strong>and</strong> st<strong>and</strong>ards for concentric, square-edged orifice meters apply to steady state flow<br />

conditions for fluids that are considered to be clean, s<strong>in</strong>gle phase, <strong>and</strong> homogeneous, such as all <strong>gas</strong>es – <strong>and</strong> most<br />

liquids – <strong>in</strong> the petroleum, petrochemical, <strong>and</strong> <strong>natural</strong> <strong>gas</strong> <strong>in</strong>dustries.<br />

− Fluid's flow rates are expressed <strong>in</strong> volume units at base (st<strong>and</strong>ard or reference) conditions, <strong>and</strong> the volumetric flow<br />

rates that are measured at the operat<strong>in</strong>g flow<strong>in</strong>g conditions are then converted to st<strong>and</strong>ard volume with respect to the<br />

base conditions.<br />

− Fluid properties are def<strong>in</strong>ed as a function of the operat<strong>in</strong>g pressure <strong>and</strong> temperature that are monitored by secondary<br />

devices. Significant temperature variation between the thermal well <strong>and</strong> the orifice taps will affect the measurement.<br />

c) Fluid flow conditions<br />

− Database is available for the empirical equations for coefficient of discharge for steady-state fully developed pipe<br />

flow profile with negligible or no swirl flows <strong>and</strong> flow fluctuations.<br />

− Deviations from these conditions are typically due to pip<strong>in</strong>g <strong>in</strong>stallation upstream of the flowmeter <strong>and</strong> they<br />

<strong>in</strong>troduce flow measurement <strong>uncerta<strong>in</strong>ty</strong>.<br />

d) Construction tolerances <strong>in</strong> meter components<br />

− Part 2 of the reapproved API MPMS Chapter 14.3 st<strong>and</strong>ard lists the changes recommended <strong>in</strong> the mechanical<br />

tolerance requirements for the orifice meter components.<br />

− The st<strong>and</strong>ard encompasses a wide range of diameter ratios for which experimental results are available <strong>and</strong> some of<br />

the tolerances are more str<strong>in</strong>gent than the tolerances <strong>in</strong> the previous st<strong>and</strong>ards.<br />

e) Uncerta<strong>in</strong>ty of secondary devices/<strong>in</strong>strumentation<br />

− The secondary devices are the <strong>in</strong>struments used to monitor the flow<strong>in</strong>g fluid temperature, pressure, <strong>and</strong> the<br />

differential pressure across the orifice plate.<br />

− Parameters affect<strong>in</strong>g the accuracy of the differential pressure device <strong>in</strong>clude: ambient temperature, static pressure,<br />

l<strong>in</strong>earity, repeatability, long-term stability, <strong>and</strong> drift, as well as the <strong>uncerta<strong>in</strong>ty</strong> of the calibration st<strong>and</strong>ard.<br />

− The stated accuracy of most differential pressure-measur<strong>in</strong>g devices is expressed as a percentage of the full-scale<br />

read<strong>in</strong>g, which leads to <strong>in</strong>creased error b<strong>and</strong>s with decreas<strong>in</strong>g differential pressures.<br />

f) Data reduction <strong>and</strong> computation<br />

− Ultimate errors <strong>in</strong> flow rate computation depend on the accuracy of def<strong>in</strong><strong>in</strong>g the physical properties of the flow<strong>in</strong>g<br />

fluid, as computed by the microprocessor-based flow computers.<br />

− Computation of the physical properties, especially for <strong>gas</strong> flows, is dependent on the constituents of <strong>gas</strong> <strong>in</strong> the<br />

flow<strong>in</strong>g fluid.<br />

− All fixed <strong>in</strong>put <strong>and</strong> critical parameters affect<strong>in</strong>g the flow rate computation should be verified to reduce bias error <strong>in</strong><br />

flow measurement.<br />

Pilot Version, September 2009 3-4

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