This chapter introduces the topic of fiscal metering including the types of meters and considerations for their selecting as well as the fundamentals of gas and liquid measurement.
Introduction to Fiscal Metering
A Fiscal metering system essentially is a supervisory system for liquid and gas flow measurement. The system may communicate with flow computers. Fiscal measurement is also referred to as custody transfer measurement. By definition, custody transfer refers to the fiscal measurement, which is used to determine the quantity and financial value of a petroleum product transaction (delivery). The Custody Transfer requirements can be of two types:
This is defined by Weights and Measures (W&M) or defined by jurisdiction in the country in which sale is conducted. To facilitate fair trade, various W&M codes and regulations control the wholesale and retail trade requirements. The regulations and accuracy requirements vary widely between countries and commodities, but they all have one common characteristic – traceability. The validation process is always defined by a procedure where the duty meter is compared to a standard that is traceable to the legal metrology agency of the respective region. To handle volume flow-rates under 2,800l/m (750gpm), wholesale and retail trade meters are normally smaller (4” and under).
Accuracy of the Custody Transfer measurement must be at the highest level, as even a small error in measurement can amount to a large financial difference. Because of the critical nature of these measurements, many standards have been developed and adopted by the petroleum companies around the world to meet the industry’s needs. American Petroleum Industry (API), International Standards Organization (ISO), American Gas Association (AGA), Petroleum Measurement Standards, OIML standards, American society of Mechanical Engineers (ASME), American National Standard Institute (ANSI), API Manual of petroleum Measurement (API MPMS), etc. are some of the standards followed by industries. These standards are discussed in later chapters.
1.1.1 Meter Selection
The selection of a specific meter type depends on its application. In some applications, a specific type is preferred, whilst in others any meter type would perform quite satisfactorily.
All meter installations must meet certain fundamental requirements. These include accurate proving facilities; adequate protective devices such as strainers, relief valves, and air or vapor eliminators, and dependable pressure and flow controls. In addition, accurate instrumentation for measuring the physical properties of the flowing fluid, such as temperature, density, etc. is also required. Furthermore, physical conditions during normal metering operations (and proving of the meter) must also be identical.
When selecting a meter and its auxiliary equipment, the following should be considered:
1.1.2 Types of Meters
Flowmeters are used to measure the flow of air, fluids and gas. Most of the meters measure volume of the material. Some measure the speed, whilst others measure the mass of the materials. Flowmeters are often used to infer mass flow through calculations made by them in conjunction with flow monitoring instruments, after taking various flow measurements such as absolute pressure, differential pressure, viscosity and temperature. Most flowmeters consist of three parts, namely i) the primary device, ii) the transducer and iii) the transmitter, all combined into one instrument.
Flowmeters can broadly be classified as:
The above mentioned flowmeters are individually discussed in detail, in further chapters.
Flowmeters are useful in a variety of fields because of their varied uses. In general, they are used in many industrial applications for flow measurements, in order to assist in determining profit gain or loss. Various industries that benefit from the use of flowmeters include the automotive industry, petroleum and gas industries, utility services, HVAC, food processing and raw materials industry.
Pressure Gauges or Transmitters: An accurate pressure determination is required since the measured liquid is always metered at a pressure higher than atmospheric pressure (one standard atmosphere) and is in a compressed form. A compressibility factor must be established and applied to the metered volume.
Temperature Transmitters and Devices: Liquid is generally measured at some temperature other than base 60°F. In order to correct the volume to a net 60°F volume, a volume correction must be made. This can either be done manually, or in a (flow) computer or else directly at the meter. An additional thermo-well is normally installed adjacent to the transmitter, to allow periodic checks to be made.
Pulse Generating Device: A pulsing device, connected directly to the meter, is required for transmitting the metered volume and for proving the accuracy of the meter. The pulse rate varies with meter size and type. Typically, this may be anything between 1,000 to 8,400 pulses/bbl (Barrel) for PD (Positive Displacement) meters, and 500 to 1,000 pulses/bbl for turbine meters.
Registering Devices: Typically, this device is either a mechanical or electronic totalizer. A local register must be provided, to show gross readings. Measurement Row Computers are mostly utilized to accumulate not only the pulses but also the temperature and pressure variables, and in some systems the flowing real time density.
Pulsation Dampers: Meters located in line with positive displacement pumps should use a dampening device to eliminate the effects of pulsations. The typical device usually consists of an appendage to the pipeline, which has an inflatable bag inside, that is pre-charged with nitrogen.
Air Eliminators: Air or vapor eliminators should be installed preceding the meter, since large compressed volumes will tend to expand through the meter causing over-speed and serious damage. An air eliminator is usually an enlarged section of pipe or vessel that is vented and provided with a level control device.
Back Pressure Control: Some installations require a method of controlling backpressure on the meter at a level sufficiently high enough, to prevent vaporization across the meter. API MPMS recommends that the backpressure be equal to or greater than twice the pressure drop across the meter at maximum flowing conditions plus 1.25 times the equilibrium vapor pressure at flowing temperature.
Master meters are utilized from time to time in specific applications. Meters that are used to measure liquids of different densities, viscosities or other characteristics, which may affect meter slippage or volume corrections, should have meter factors developed for each type of fluid. Additionally, as meters are subject to varying rates of flow, they should be proved at a sufficient number of points This will allow for a performance curve to be obtained, and this will, in turn, allow for an appropriate meter factor to be selected from the curve. For all practical purposes, a change of 15% from the base-rate, is considered to be sufficient change to warrant multiple proving.
Although there are a number of prover types and a variety of proving techniques, the functionality of all the provers remains the same. The basic concept of pipe provers is to accumulate the registration of the meter during a time when the displacer moves through a pipe of known volume. This known volume is referred to as the calibrated section and is precisely defined by the detector switches. As the displacer passes the detector switch, it activates the prover counter to commence collecting the pulses generated by the meter.When the displacer activates the second detector, the counter stops it’s accumulation of pulses. Adjusting the total pulses by the meter’s K-factor yields the meter’s indicated volume, which can then be compared to the provers known volume. This ratio yields the meter factor for the given meter.
Prover Calibration: The known volume of the prover calibrated section must be precisely determined. This calibration process, for pipe provers, is known as a waterdraw calibration. Tank provers are calibrated utilizing a similar process known as water-fill method. Using precisely calibrated test measurements, the prover is calibrated in a manner similar to proving a meter.
As water is circulated through the prover, it moves the displacer. When the displacer activates the first detector, a solenoid valve is typically activated and the fluid is displaced from the prover into the Test Measure, stopping when the second detector is activated. The process is repeated until a repeatability criterion is met. The volume recorded from these calibration runs is corrected to base conditions and then related to the volume of the calibrated section. This volume at base conditions is called the Prover Base Volume, and becomes the basis for the meter proving process. The process of calibration, i.e. the “waterdraw” is covered in the API MPMS standard Chapter 4, section 7 under the heading “Field Standard Test Measures.” A new standard, API MPMS, is covered in Chapter 4, section 9 under the heading “Prover Calibration”.
1.1.3 Fiscal Metering Functions
The following list indicates the functions of a fiscal metering system.An example of a fiscal metering system is shown in figure 1.1.
1.1.4 Metering Points
Fiscal metering system
A custody transfer or fiscal metering system produces very accurate results, if the equipment is selected carefully, and if the operators understand how the meter’s performance can be affected by changes in flow conditions as well as other variables.
Custody metering is an essential tool for the profitable operation of offshore platforms.
1.2.1 Why Metering Matters?
Custody transfer metering is very important, from a cost saving perspective. If a typical offshore oil production facility produces 150,000 bpd (barrels per day) and incurs a random $5 barrel extraction cost, an under-reading error of 0.5% in flow can lose about $1.3m in a year, assuming an oil price of $35 a barrel., Bear in mind that a custody metering station only costs around $1m. At $50 a barrel—the price at the time of writing—that loss, or potential saving, amounts to $2.25m.
The primary reason for offshore metering is security. One can be sure of the output of a facility, if the meter is at source. It is possible to offload crude by shuttle tanker to a shore terminal for custody metering. However, in practice, this opens the way to disagreements with production partners and the tax authorities, over issues such as ‘bill of lading’.
1.2.2 Fiscal, Custody and Allocation
The terms ‘fiscal’ and ‘custody’ are essentially interchangeable although, technically, fiscal means ‘concerned with government finance and policy’ and custody means ‘safekeeping or guardianship’. Neither fiscal nor custody defines a level of metering accuracy, although both are taken to mean the best accuracy in normal oil field practice.
Metering performance is expressed as the total uncertainty of the flow-rate measurement. In Russia, a massbased oil flow measurement is generally preferred; whereas in the UK, volume metering is favored. Either is acceptable, provided the necessary corrections for density, water and sediment quantity are properly addressed.
In the UK, the Department of Trade and Industry (DTi) have supplied metering guidelines to offshore operators and licensees since the early 1970s, and defined the following ‘measurement approaches’. Measurement approaches are summarized in Table 1.1.
Allocation measurement refers to continuous measurement, by which a quantity of hydrocarbon, metered to Custody Transfer standard is attributed to different sources.
|Approach||Typical Uncertainty in Mass Flow-rate Measurement (%)|
|Custody Transfer (Non- Petroleum Revenue Tax)||0.25 – 1.0||—|
|Allocation||0.5 – 5||2 – 5|
|Multiphase Metering||10 – 20|
Space and Weight
Early offshore platforms were converted to drilling rigs, where space and weight were severely constrained. The Argyll oil meter skid was based on typical early offshore meter stations, and was simply a cut-down version of its land-based predecessor.
Moving away from PD (positive Displacement) meters was the most significant change, despite their excellent accuracy of ±0.15%. This was as a result of them being too large, heavy, and susceptible to internal damage.
In the 1960s, a Dr.Potter patented a turbine principle meter to handle high fuel flow-rates. The ‘Pottermeter’ became the workhorse of offshore metering with a long-life, low-drag hydrodynamic thrust bearing and 0.25% linearity. Later helical bladed rotor designs handled wider viscosity ranges, with a premium linearity of ±0.15%.
These meters ‘infer’ the volume flow-rate by removing a little kinetic energy from the liquid to spin the turbine in a fairly linear relationship to flow-rate. Whatever the design, they are susceptible to changes in the oil character (viscosity) and therefore require regular proving or calibration, under real operating conditions.
A ‘ball’ or ‘pipe prover’ is the conventional proving device for most turbine and PD meters.
The procedure involves a plastic sphere being inflated with water, to create a close fit inside a pipe ‘loop’. This is then pushed along by the oil flow in series with the meter under test, and passes ‘sphere detectors’ mounted in the pipe wall which initiate a timer with the start and finish of an accurately calibrated internal volume. Repeating the proving a number of times provide a highly accurate measurement of average flow-rate, that is used to calibrate the meter.
In the very early days of ball moving in the provers, there was only one direction of travel through the loop. The physical size and weight of the early ‘Uni-directional’ provers became problematic for offshore service, and therefore a ‘bi-directional’ prover was developed. Utilizing a four-way flow diverter valve, it allows the ball to travel in both directions, one after the other, combining the forward/reverse volumes to make a single proving ‘cycle’. This reduces the overall calibrated length of the provers, and limits possible hysteresis errors introduced by the sphere detectors.
In the mid 1980s, pulse interpolation techniques were developed for small volume piston provers. The procedure interpolates (estimates) the part of a full meter pulse that is inevitably ‘lost’, at the end of a displacer movement. This improvement is also now applied to ball provers.
Pulse interpolation is used by almost all new provers, to reduce the necessary calibrated volume. However, the reduction can only be made if the duty meters have a uniform pulse output per revolution. This is true of all turbine meters, unless they have been damaged in a way that decreases their intra-rotational linearity. This is not necessarily true for all PD meters, which utilize several different principles to achieve the swept volume per revolution.
Oil Proving and Calibration
‘New technology’ manufacturers are rightly proud of the inherent stability of Coriolis and Ultrasonic flowmeters. However, the reality is that even a bad flowmeter may be calibrated to be accurate at a single instance in time, at a well-controlled test laboratory. The real test occurs offshore, under real operating conditions, 365 days per year.
The industry needs to prove to itself, and government agencies, that the meters remain consistently sound between onshore laboratory calibrations. Good practice demands a dedicated prover to be installed for all offshore oil custody metering systems.
Ideally, a rotary inferred volume type meter should be proved by a different principle, such as a PD ball prover. It is very unlikely that both devices would be affected in the same way by an external upset, such as a sudden increase in product viscosity—this reduces the risks of so-called ‘common mode errors’ and is an important principle of good custody flow metering.
In ‘master metering’, the ball prover may be replaced with a transfer or master meter, of equal or better accuracy than the duty meters. To reduce its degradation, the master is normally kept isolated and protected from the main system. It is often the same type of meter as the duty meter, and is periodically returned to a laboratory for accurate recalibration.
As this method may suffer from the ‘common mode errors’ as stated above, they are best suited to a location or installation where the total rate of fluids metered, is small.
Small Volume Piston Provers
In this category, ‘small footprint’ units use machined solid pistons and cylinders, pulse interpolation, and optical position detectors to allow higher piston speeds, smaller swept volumes, and much greater turndown ratios, than pipe provers.
They are perceived as more complex than bi-directional provers and require some de-rating for use, with inferential pulse meters such as Coriolis and Ultrasonic flowmeters. These meters have a pulse train generated electronically from a processor, based upon many instantaneous ‘snapshots’ of the flow. This may lead to a ‘jumpy’ and over-responsive output, so some de-rating of the prover may be necessary. This amount depends on the size, configuration and manufacturing design of the prover and the meter under test.
New Meter Technologies – Coriolis Mass Meter
The first DTi approved mass metering system, for the UK North Sea, is believed to be the 1993 BP Forth Harding system, where there were potentially very high viscosity excursions up to 1800cP with wax and high acidity.
Extreme viscosity ruled out turbine meters. PD meters were considered vulnerable to the high acid content and local vibration, and hence the novel technique of coriolis mass metering was selected. There were high pressure drops during high viscosity but, crucially, the meters were not being damaged or degraded.
Good practice was observed by installing a permanent small volume piston prover on the package.
New Meter Technologies – Ultrasonic Flowmeters
Custody oil Ultrasonic flowmeters have been available since the mid 1990s, and in less than ten years they have become as much a standard feature as turbines.
On the Canadian Husky Oil White Rose FPSO (Floating Production, Storage and Off-take) there was insufficient space for a conventional multi stream turbine and bi-directional prover metering system, as well as a need to limit overall pressure drop. Therefore, the ‘Z’ pattern arrangement was developed. It was essentially a duty and standby/master meter system – but with an unusually large capacity of 4000m3/h.
The oil to be exported would be relatively stable after processing and storage in the FPSO’s tanks, before batch offloading,thus reducing concerns over contaminants, viscosity swings and gassing.
The regulatory body was presented with the supporting design evidence for the propriety of this custody system and approved its use.
Orifice metering still continues to be the most commonly requested principle for gas flow measurement offshore. Nonetheless, just as with Ultrasonic oil metering, the pace of change to multi-path Ultrasonic custody standard gas flowmeters is increasing.
High acceptability, simplicity, low technology, ease of calibration, and ‘perceived’ robust nature are the primary benefits of orifice meters. A reading of some sort is almost always available from an orifice meter and maintenance is simple, and can always be carried out offshore with limited tools. If the installation is properly designed according to ISO5167/AGA3 (standards) and properly maintained, the accuracy is deemed to be acceptable.
Disadvantages are the inherent overall uncertainty (±0.65% at best), poor turndown (around 3:1) regular calibration of secondary instruments, and relatively large space requirements.
Ultrasonic gas flowmeters offer the benefit of relatively high accuracy (typically ±0.5%), high turndown (minimum 10:1), good reliability and comprehensive diagnostics. Some operators are suspicious of the relatively short time, some 10-13 years, that custody metering has been practiced, and therefore consider the meters to be too complex for the application.
Ultrasonic calibrations can also be a problem. The units need to be taken to onshore test laboratories, where conditions are never identical to the real world installation. It is not yet clear how common mode errors will be identified if the ‘master meter’ type principle is utilized with two meters in series. In this case, the second meter checks, or perhaps even calibrates the first.
Measurement (volume) Accuracy and Meter Accuracy
Measurement accuracy, as applied to volumes, is the absolute accuracy of the volume measured, whereas “meter accuracy” is the accuracy of the meter relative to a reference standard, such as a prover.
Measurement accuracy of volumes is influenced by the following factors:
Repeatability and Linear
These terms are commonly used to define meter accuracy. Repeatability is the variation in the meter’s performance under constant operating conditions, i.e. constant flow-rate, temperature, density, etc. Linearity is the variation in the meter’s performance over a range of flow commonly referred to as turndown ratio.
Maintenance offshore is never easy; an operator might continue to run a failing meter rather than to interrupt production. For this reason, it is usually mandatory to duplicate one complete stream of metering equipment on a custody station. This leads to the well known ‘N+1’ meter stream requirement. In addition, modern flowmeters (such as turbines) are relatively compact, and so a calibrated spare can be held offshore to allow failed units to be returned to base for repair.
Sphere detectors are duplicated at each end of offshore prover loops, to give four effective calibrated volumes, which produces considerable redundancy.
Offshore Computer Systems
Most authorities insist upon ‘stand alone’ flow computers for each meter stream. This allows individual units to continue operating, even if a neighbor is damaged. A supervisory computer can ‘manage’ the disparate stream, as well as prover flow computers, and can also perform additional tasks such as flow scheduling and automatic flow sampler control. These are now, most often, ‘dual redundant’ arrangements, rather than the earlier and arguably much more complex ‘hot standby’ systems.
Many now prefer a single station supervisory function, since the primary metering data is retained in the separate flow computers.
Sampling and Analysis
As few offshore installations have comprehensive analytical laboratories, all custody stations are offered with flow proportional automatic samplers. In some cases smaller ‘sub samples’ are extracted and are more easily transferred to the shore base for analysis. High pressure or volatile samples require special handling.
For gas, a properly designed orifice metering station and for oil, a turbine meter/bi-directional prover system, is still considered to be an excellent, all round custody metering solution. It is worth noting that few (if any) field partners or government agencies will make a successful challenge to such a system on pure technical grounds.
Offshore production requires many systems and processes. A custody metering is almost universally regarded indispensable.
1.3.1 What is Custody Transfer?
Custody Transfer is an agreement between buyers, sellers and transporters, in line with the rules and regulations of customs and government authorities. These agreements outline how the gas entity is to be measured, and how the results will be traceable to recognized standards. The involved parties have an interest in the true net volume and net energy, as in the case of natural gas. Generally, implementation of custody transfer scheme takes into account the past & present practices as well as future developments in the area of metrology and metering technology.
Custody Transfer is applied in natural gas applications:
How Does Custody Transfer Apply in Natural Gas Applications
Generally, on an energy basis. Natural gas Custody transfer is applied to the online energy measurement of gas, at the custody sale point.
Gas energy measurement will involve measurement of the actual volumetric flow-rate and computation of the net volumetric flow-rate at reference conditions, by compensation, with measured operating parameters such as pressure, temperature and super-compressibility. With online BTU (British thermal unit) gas chromatographs, the gas calorific value is determined. The net gas calorific value is then multiplied to the net volumetric flow derived from the energy of the gas.
The gas moisture content needs to be measured, to determine the net heating value of gas sales, specifically where the gas is not dry and contains moisture.
1.3.2 Basic Requirements of Custody
The following are the basic requirements of custody:
1.3.3 Gas Metering Design Code and Standards
General Design AGA Standards
This draft (OIML DR 3) recommendation standard covers the requirements for gas meters (based on any principal)
Gas metering system
Components of a Typical Custody Gas Metering Station
A typical custody gas metering station consists of the following major components:
1.3.5 Types of Meters in Custody Metering
The most commonly used type of Gas flowmeters in hydrocarbon custody transfer applications are:
There are several other gas meters available, but their use depends on the specific application as well as economic considerations.
Table 1.2 summarizes the Accuracy Requirements of Custody transfer meters as per OIML:
Accuracy requirements as per OIML
|Flow-rate(Q)||On Type approval and initial verification Accuracy Class||In Service Accuracy Class
|WME ± 2 %||WME
|QMin<= Q< Qt||MPE ±1%||MPE ±2%||MPE ± 3%||MPE ±2%||MPE ±4%||MPE ±6%|
|Qt <Q <=QMax||MPE ±0.5%||MPE ± 1%||MPE ± 1.5%||MPE ± 1%||MPE ± 2%||MPE ±3%|
WME: Weighted Mean Error
MPE: Permissible Error
The following are the meter selection guidelines:
Proving and Validation of Metering Installations
Proving: Adequate tests need to be developed and standardized for the new technological gas meters available in the market, as many gas meters are sensitive to flow disturbances, velocity profiles, pulsations and acoustic disturbances. Online proving of gas meters, at operating conditions, is generally carried out using a master meter in series with the Pay meter.
Validations: Online verification of gas meters, at operating conditions, is generally carried out using a master meter in series with the Pay meter. A common master meter is installed in the metering station, which is then lined-up when the pay meter is required to be proved. Only the master meter is sent for recalibration, to recognized gas flow test labs.
Important points to be considered in the validation of metering installations:
1.3.6 Dry Calibration and Verification of Ultrasonic Gas Meter
For Ultrasonic gas flowmeters, the meters are first dry calibrated at the factory, where the zero point precision is checked. In Zero calibration, the meter is sealed at both ends, using blind flanges. The meter is then filled with a gas of known composition, for which the theoretical sound velocity can be calculated using gas composition and condition. This means that theoretical ultrasonic signal transmit times are defined, with respect to measuring path length. As soon as thermal equilibrium is reached after the gas is filled, the transit time difference of ultrasonic path and, therefore, the zero point precision is checked (using measured and theoretical sound velocity). The zero calibrated meters are then flow calibrated with gas at gas flow labs.
Meter Performance Verification with SOS at Metering Installation
At actual operating conditions, the Ultrasonic meters give measurements of speed of sound for all the ultrasonic paths. Also, using AGA-8 and AGA-10 calculations, the speed of sound can be calculated using measured gas composition, and operating conditions with on-line Gas chromatographs (GC). Comparison of SOS (standard offer service) as measured, and as calculated from measured composition, gives a good verification tool for gas meter performance as well as the individual ultrasonic path functioning. GC measurements are also verified by means of the analysis of samples collected by an Auto gas sampler.
1.4.1 Gas Measurement Principle
Gas measurement fundamentals include the units of measurement; the behavior of the gas molecules; the property of gases; the gas laws and the methods, and means of measuring gas. It is important to have an understanding of natural gas chemistry, as the quality of gas is often the responsibility of the gas measurement technician. To understand what a gas molecule is, one needs to know what matter is.
Matter: This can be defined as anything that possesses mass and occupies space. It is made up of elements and compounds of elements. An element is matter that cannot be further decomposed by ordinary means, and thus is the simplest form in which matter can exist. The universe is made of elements or combinations of elements.
Atom: Elements are differentiated by their atomic structure. Atoms are the smallest parts of an element, which can be divided and still, retain all the properties of that element. The atom is the smallest unit of matter, which can enter into combination with itself, or atoms of other elements.
1.4.2 The Kinetic Theory of Gas
Behavior of the Gas Molecules
In order to better understand the gas laws and the fundamentals of gas measurement, the behavior of the gas molecules has to be known. Air is made up of a mixture of gas molecules, essentially consisting of nitrogen and oxygen, which occurs everywhere in the earth’s atmosphere. A cubic centimeter of air (or any gas at standard temperature and pressure conditions) contains about 26 billion molecules; there is a large amount of frictionless empty space around each molecule. At low pressures the relative size of the space surrounding the molecule is so great that the actual volume occupied by the molecule itself is minimal. The gas molecule, itself, is incompressible. The gas can be compressed by bringing the gas molecules closer together, in a relatively large empty space occupied by the gas. This is done by adding more molecules or reducing the space occupied by the gas.
Gas molecules are in a chaotic state and continually move in violent motion. They travel in a straight line until they collide with other molecules or a confining wall. As the collisions are perfectly elastic, there is no energy loss.
Under ideal conditions, the number of collisions by a given amount of gas molecules with the confining wall is directly related to the pressure exerted. The pressure exerted by gas depends upon the collision of the molecules with these confining walls. Each time a gas molecule collides with a confining wall, it exerts a force. The sum of these forces at any moment, give the pressure exerted. Also, the molecular collisions depend upon the number of gas molecules, and hence the pressure exerted. The fewer the gas molecules in a confined chamber, the less will be the molecular collisions, and therefore the lower the exerted pressure. To reduce pressure in a confined chamber, gas molecules must be removed from the chamber or the confined volume must be increased for a given number of molecules. This reduces the number of molecular collisions with the confining wall. A regulator valve reduces the number of gas molecules per unit of space in a downstream segment of pipe, thus reducing the gas pressure.
The opposite (vice versa) also applies, pertaining to an increase in pressure. In order The number of gas molecules must be increased in a confined volume, such as packing a section of pipe. Alternatively, the number of molecules can be held constant while the confined space is reduced (such as with a piston compressing the gas in a reciprocating engine).
Actual, Kinetic and Dynamic Pressures
Under ideal conditions, the pressure exerted is referred to as kinetic pressure. Actual pressure exerted by gas molecules is seldom the same as the ideal for kinetic pressure. The actual pressure consists of the algebraic sum of the kinetic pressure, and a much smaller component called the dynamic pressure. The dynamic pressure is the sum of two deviation forces. One is caused by an attractive force between molecules and the other by a repulsive force between the same molecules.
The relation between the actual, kinetic and dynamic pressures is illustrated by the following equations:
P = Pk + Pd
Pd = Pa + Pr or P = Pk+ Pa+ Pr
P = Actual pressure exerted by molecules
Pk = Ideal or kinetic pressure
Pd = Dynamic or deviation pressure
Pa = Attractive force between molecules
Pr = Repulsive force between molecules.
The attractive force (Pa) between molecules opposes the kinetic pressure translated by the collision of the molecules with the confining walls. This force tends to reduce slightly the momentum of the molecules. This reduces the force of impact between the molecules and confining walls, and as a result, slightly reduces the pressure that would be exerted under ideal conditions.
If more molecules are confined in a volume, then the molecules become closer and hence produce a large attractive force. Since this force has a negative effect on the kinetic pressure, with higher pressures, the larger of the two will be the deviation force.Therefore, the actual pressure exerted will be less than that of the ideal.
In a confined chamber, and at a known absolute pressure and temperature, the volume of gas normally calculated will be less than the actual volume. Therefore, a deviation factor must be applied, to determine the actual volume of gas in the chamber. It stands to reason that a deviation factor must also be applied, in gas measurement, to determine the actual volumeof the gas being measured.
The attractive force between molecules can best be demonstrated by observing a liquid such as mercury on a flat surface. The mercury tends to form droplets. When these droplets get close enough together, they attract each other and combine to form a larger mass of liquid. Although this attractive force is relatively slight in gas (compared to the mercury), it does become significant at very high gas pressures.
The repulsive force (Pr) between molecules acts opposite to the attractive force. As gas pressure increases, there is a larger number of gas molecules in a confined volume. These molecules are brought closer together.
At very high pressure, the molecules get even closer together. However, since each molecule is compelled to remain outside the space occupied by the others, they exert a repulsive force on other molecules. As a result of this, the space available for the molecules to move, is greatly reduced. The repulsive force thus adds a positive increment to the dynamic or deviation pressure. As pressure increases, by the introduction of more gas molecules into a confined space, the repulsive forces reduce the effect of the attractive forces, thus reducing the deviation effect. At a high enough pressure, a point is reachedwhere the repulsive force between the molecules equals the attractive force, thus producing ideal conditions, where the actual pressure exerted by the molecules is the same as the kinetic pressure.
Effects of Temperature
Motion of the gas molecules depends upon the variations in temperature. The higher the temperature, the faster the gas molecules will move. This, in turn, will cause more collisions between a given number of molecules. The net result of this, is more collisions with the confining wall.
Under constant volume conditions, the pressure may either be more or less. If the pressure is greater, but at a lower temperature, the gas molecules will move slower, thus causing fewer collisions between the molecules and the confining walls. On the contrary, if the pressure is less and the temperature increases, the collisions between the molecules and the confining walls will increase.
As the temperature increases, the gas molecules must be released in order to maintain a constant pressure within a confined space. As the temperature decreases, more gas molecules must be introduced, to maintain a constant pressure. It is interesting to note that at lower temperatures, the deviation forces are more pronounced than at higher temperatures, where they tend to flatten out. At high pressures, a point is reached where the repulsive forces between molecules equals the attractive force, thus producing ideal conditions. For example, at a point between 4,000 and 4,500 psig, at 240°F, no deviation exists and the gas behaves ideally.
Thermal Energy of Gas Molecules
Energy is the capacity for doing work. Energy may be stored in the form of thermal, mechanical, electrical, chemical, or nuclear energy. Energy can be transferred from one form to another but can neither created nor destroyed. For example, if a pan of water is heated with a natural gas flame, the chemical energy is converted to heat or thermal energy, as shown in the chemical equation for the combustion of methane gas:
CH4 + 2O2à 2H2O + CO2 + heat
If the same pan of water was heated on an electric stove, electrical energy is transferred to thermal energy. If the electricity used was generated by nuclear means, then the transfer of energy follows the sequence:
Nuclear à Thermal; Thermal à Electrical and Electrical à Thermal
The state of matter can be changed by thermal energy. To better understand this phenomenon, the behavior of the molecules in each of the three states is examined.
Gas: Molecules in the gaseous state are free to move, unrestricted, within a confined space. They move rapidly and in all directions, colliding with each other and the confining wall.
Liquid: Molecules in the liquid state are free to move within the liquid body. They do not have unrestricted motion, in this confined space, because of a strong attraction between the molecules. The attractive force of molecules in a liquid is much stronger than the attractive force of molecules in a gas.
Solid: Molecules in a solid state are in motion, but they are very restricted. The motion may be considered more of a molecular vibration. The attractive force, between molecules, is very strong.
When heat is introduced in the solid material, the molecules start vibrating more rapidly. As the thermal energy increases, the molecular motion increases until a temperature is reached, where the boundary walls or cohesion between molecules are broken down. To change from a liquid to a gas, more heat is applied until the single barrier to the molecules, which happens to be the surface of the liquid, is destroyed and the molecules escape the attractive force of surface tension. Thus, they are free to move unrestricted in the confined space. It is a known fact that thermal energy is released, whenever there is a change from a gaseous state to a liquid state.
Avogadro’s Gas Laws
Avogadro’s Law states that equal volume of gases, measured at the same temperature and pressure conditions, contain the same number of molecules.
Under standard conditions, one gram molecular weight of gas will occupy a volume of 22.4 liters. One mol-volume or molecular weight, at 60°F and 14.73psia (pounds per square inch absolute), occupies a volume of 378.9 cubic feet. Under standard conditions 22.4 liters of any gas contains 6.023 x 1023 molecules, which is Avogadro’s number. The measurement of gas quantity or volume could be related to the number of gas molecules in a given space, or the rate of flow of the gas expressed in the number of molecules per unit of time.
Kinetic Energy of Translation
The behavior of the gas molecules, in a confined space, is explained by the Kinetic theory of gas molecules. It is already known that the gas molecules are in rapid motion, and that they collide with each other and with the confining walls. The relationship between the size of the gas molecule, its velocity and the kinetic energy of translation is expressed as:
K.E. = mv 2
K.E. = kinetic energy of translation
m = mass of the molecule
v = velocity of the molecule.
Under constant temperature and pressure conditions, all gas molecules will translate the same amount of kinetic energy. The velocity of the gas molecule is directly proportional to the weight of the gas molecule. With a given number of gas molecules, both the heavy and light molecules will exert the same pressure. The lighter molecules have greater numbers of collisions due to their higher velocity, but each impact creates less force. The heavier molecules have fewer collisions due to their heavy weight, but create more force. If the velocity of gas molecules is held constant, then the kinetic energy translated, will be directly proportional to the mass of the gas. This relationship is used for determining the specific gravity of a gas, and is the basis for mass and turbine meter measurement.
1.4.3 Liquid Measurement Principle
Liquids expand with increased temperature and shrink with lower temperature. So, when consumer buy a barrel of cold oil, he actually get more oil for the price of one barrel. Likewise, when a retailer sell a barrel of hot oil, he actually sell less oil for the price of one barrel. To avoid this dilemma, the Petroleum Industry has adopted standards of volume. In the United States, the standard volume is a barrel containing 42 US gallons measured at the standard temperature of 60°F. In Europe and many other parts of the World, the standard volume is the liter, measured at a standard temperature of 15°C. Tables of Volume Correction Factors (VCF), for correcting volumes measured at any temperature, to the equivalent volume at standard temperature are available from the American Petroleum Institute (API) and the International Standards Organization (ISO). So, it is not enough to just measure volumes of oil with meters or in tanks. It is also necessary to measure the temperature of the oil at the time of volume measurement.
The physical properties, which are important to measure, include:
These physical properties may affect the volume measurement, the quality (hence, price) of oil, and the method of measuring volume.
Density or Gravity
Density: This is defined as the mass of fluid per unit volume at a given temperature. Examples are grams per cubic centimeter (gm/cc), pounds per cubic foot (ℓb. /cu. ft.) and kilograms per cubic meter (kg/cu.m.). Table 1.3 shows some typical density ranges, for various types of petroleum liquids.
Relative Density: This is defined as the ratio of the density of a liquid, at a given temperature, to the density of pure water at a standard temperature, which is either 60°F or 15°C. The temperature of the liquid and the temperature of water are shown as 70°F/60°F, for example, and must be included with the density statement.
Density and relative density are most commonly used for light liquid hydrocarbons (e.g. LPG, NGL, etc.), petrochemicals and, sometimes, refined products. Relative density is also used for determining VCF for crude oils.
Density ranges of various petroleum liquids
|Petroleum Liquid||Relative Density||API Gravity range|
|Crude oils||1.000-0.780||10 – 50°|
|Fuel oils, jet fuels||0.875- 0.780||30 – 50°|
|Gasoline||0.780 – 0.685||50 – 75°|
|Butanes, Propane||0.685 – 0.505||75 – 115°|
API Gravity: This is a special gravity scale, commonly used in the petroleum industry. API gravity is most often measured with hydrometers, which were developed from the hydrometers that were first used for measuring sugar content of grape juice in the wine industry. API gravity is related to relative density and the density of water (which is defined as10°API) by the following formula:
API gravity is inversely related to relative density. So, liquids which are commonly called “heavier”, have low API gravities and high densities or relative densities, and liquids which are commonly called “lighter”, have high API gravities and low densities or relative densities.
Liquids expand when pressure is reduced, and shrink in volume when the pressure is increased. The effects of compressibility are less than those due to temperature, but are not negligible. Correction factors can be calculated from the following formula:
CPL = 1/ [1-(P-Pe)*F].
Where, P is the operating pressure in psig (Pounds per square inch gauge).
Table 1.4 shows the compressibility factors per pounds sq.In (square Inch) (Divide all numbers by 100,000).
Pe is the equilibrium vapor pressure at operating pressure (which becomes zero for liquids with vapor pressures less than atmospheric pressure), and F is the compressibility factor.
Compressibility factors per pounds sq.In. (Divide all numbers by 100,000)
|Temp||API Gravity At 60 Deg. F|
This table is not interpolated. Note that 100,000 must be divided into the numbers in the table. For example, calculate the volume of 1,000bbls of a 19.9°API (at 60°F) fuel oil metered at a pressure of 500psi(pound per square inch) and a temperature of 100°F.The compressibility factor from the table is 0.00000448, and CPL is:
CPL = [1 – (0.0000044B) x (500 – 0)] = 0.99776
The equivalent volume, at atmospheric pressure, is thus
(1000bbls) / (0.99776) = 1002bbls.
Sediment and Water (S&W)
This is a collective term for non-hydrocarbon materials that are often included in crude oil. Crude oils may contain copious amounts of S&W as they are recovered from oil wells. The oil is treated, on-site, to reduce S&W to a concentration. Typically, S&W of 1.0% or less is set by the pipeline carrier or marine carrier, or other transportation service which transports the crude oil from the field to the refinery.
S&W is usually in the form of tiny droplets, which are suspended in the oil. When it is not disturbed, it will generally will not settle out from the oil phase. This is different from “Free Water”, which is water that exists as a separate phase from the oil phase. Samples to be used for S&W measurement must not contain any free water. Most petroleum oils and refined products may also contain very small amounts of water, which are actually in solution in the hydrocarbon phase.
The most commonly used method for measuring S&W is the centrifuge method, in which a measured sample of crude oil, typically 50ml, is placed in a cone shaped glass centrifuge tube. The crude is then mixed with an equal amount of solvent, in order to reduce the density and viscosity of the oil, and then heated to 140°F (160°F for waxy crude). Several heated tubes and their contents are spun at high speed in a centrifuge for a specified amount of time during which centrifugal force drives sediment, water and anything else heavier than the diluted oil to the bottom of the tubes. After centrifuging, the relative amount of S&W in the bottom of each tube is read from a scale (usually calibrated in milliliters) which is etched on the side of the tube. This quantity of S&W is related to the original quantity of oil sample before dilution, and reported as percent S&W. The centrifuge method measures suspended S&W, but does not measure solution water.
Laboratory and Field Methods
There are two methods for determining S&W by centrifuge, namely the “Laboratory Method” and the “Field Method”. The laboratory equipment and procedures are suitable only for a laboratory environment and are generally considered to be slightly more accurate. The equipment and procedures for the Field Method are suitable for use by gaugers or operators who work out of the back of a pickup truck, and are accepted for custody transfer.
Water content, may be determined in the laboratory by distillation, as described in API. This method is considered, by API, to be the “Referee Method”. It is to be used when parties can not agree on water content measurement by other methods. The distillation method measures solution water as well as suspended water.
An oil sample, measured either by volume (typically more than 100ml) or by weight, is placed in a glass distillation flask, mixed with a large quantity of solvent, and heated to the boiling point. The vapors, which emanate from the flask, contain water vapor and vapors of the lighter hydrocarbon components from the oil sample. The vapors are cooled and condensed back to liquid in a water-cooled glass condenser, from which the condensate drips into a slender glass receiver, which has a cone-shaped bottom. Liquid water being heavier than the condensed liquid hydrocarbon collects in the bottom of the receiver where the quantity can be read from a milliliter scale etched on the side of the glass receiver. This quantity of water is compared to the original oil sample quantity and reported as volume percent.
The distillation method, even though quite accurate, requires a laboratory environment and requires several hours to perform.
Karl Fischer Reagent Method
Another method, which measures both suspended and solution water, is the Coulometric Karl Fischer Titration. An oil sample, typically ±1gram, is placed in a glass vessel, which contains a specific set of chemicals called ‘Karl Fischer Reagent’. Since samples are very small, it is generally preferred to weigh the samples, although samples may be measured volumetrically with a hypodermic syringe.
Electric current flows between the two electrodes inserted into the solution, due to the chemical reaction of the sample water with the Karl Fischer Reagent. This electric current is measured and correlated to the amount of water which was consumed, and reported directly on an LED (Light Emitting Diode). The reading is in either milliliters or grams, which can be converted directly to volume percent water or weight percent water, depending on whether the original sample was measured by volume or weight.
The Coulometric Karl Fischer Titration is fast and relatively simple to perform. It is considered as accurate as the distillation method. The equipment is available in models that are designed for use in the laboratory, as well as in models that are fully self-contained, portable and suitable for use in the field.
The Coulometric Karl Fischer Titration is a modernized version of an older laboratory method known as “The Standard Test Method” for Water in Crude Oils by Karl Fischer Titration. This is a conventional titration, in which water is reacted with excess Karl Fischer Reagent, and the excess reagent is back titrated volumetrically. This procedure can be performed only in a laboratory by a trained technician, and has been largely supplanted by the Coulometric method. Neither the distillation nor the Karl Fischer method measures sediment content. In some crude oils, sediment is negligible and may be ignored. In others, though, sediment content is significant. In such cases, the water measurement must be supplemented by a separate determination for sediment.
In calculating net oil volumes, the following are some important terms:
GOV (Gross Observed Volume) = the quantity as measured at operating temperature and pressure in a meter or in a tank. Gross volume includes S&W as well as oil.
GSV (Gross Standard Volume) = GOV corrected to standard volume at 60°F with VCF or CTL and/or CPL, as appropriate.
NSV (Net Standard Volume) = net dry clean oil at 60°F = GSV minus S&W.
S&W may be calculated as bbls, and then subtracted from GSV bbls to arrive at NSV bbls, or percent S&W may be converted to a correction factor and multiplied times GSV to arrive at NSV. S&W correction factor (CSW) is:
[1 – (S&W %/100)] and NSV = (GSV) x (CSW)
As stated earlier, standard volume is defined as being at standard temperature of either 60°F or 15°C. There is also a pressure component of standard volume. For liquids whose vapor pressures at the measurement or proving, is less than normal atmospheric pressure, the definition of standard pressure is one standard atmosphere. For liquids, which have vapor pressures greater than normal atmospheric pressure, the definition of standard pressure is the equilibrium vapor pressure of that liquid at the temperature of measurement or proving.
The pressure, referred to in this context, is called the True Vapor Pressure (TVP). It is the pressure at which the first bubble of vapor forms in a liquid at a given temperature. This, obviously, is difficult to measure. There are a variety of laboratory methods, which measure vapor pressures that very nearly fit the technical definition.
A simple way to approximate TVP of a liquid in the field, especially when proving meters, is to close the block valves on a pipe prover, which has been filled with liquid at the metering pressure (which is usually considerably greater than the vapor pressure of the liquid). The pressure in the prover is gradually and carefully reduced by slowly (and safely) venting liquid through a bleeder valve. Close the bleeder when the liquid just starts to spit, as it exits the valve. The pressure in the prover, as indicated by a reliable pressure gauge, is the equilibrium or true vapor pressure of the liquid at the temperature in the prover, as indicated by a reliable thermometer. TVP is an “absolute pressure”, so (at sea level) 14.7psi must be added to the pressure gauge reading (psig) to obtain the equivalent absolute pressure in psia.
Another form of vapor pressure that is used for many purposes, is the Reid Vapor Pressure (RVP), as determined in accordance with the ASTM D 323 method. A small chamber of fixed dimensions is filled with the liquid to be tested, and then connected to an empty (but not evacuated) vapor chamber of fixed dimensions. The assembled apparatus is immersed in a constant temperature bath at 100°F until the pressure in the apparatus stabilizes at a constant pressure, as indicated by a calibrated pressure gauge on the top of the vapor chamber. This pressure is recorded as the RVP, in psia at 100°F. For certain petroleum stocks, RVP may be estimated by the use of charts.
RVP is used to set safe operating specifications. For example, crude oils or other petroleum stocks may be accepted for transportation only if the RVP is less than 10psia to prevent excessive losses due to evaporation, damage to tanks or marine vessel compartments (due to excessive pressure or boiling), or inaccurate measurement due to flashing in meters.
Vapor pressure, even when less than atmospheric pressure, causes an evaporation loss of petroleum liquids from tanks and vessels that are not fitted with evaporation loss prevention and/or recovery systems.
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