new gas lift valve design
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SPE 36597
New Gas Lift Valve Design Stabilizes Injection Rates: Case Studies
T. Tokar, Chevron, Z. Schmidt, University of Tulsa, SPE, and C. Tuckness, Halliburton Energy Services
Copyright 19S6, Society of P@troleum Enginaars, Inc.
This paper was prepared for presenlatim at ths1996 SPE Annual Techncal Conference and
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Abstract
Optimization of production
in continuous gas lift wells is
difficult to achieve when unstable flow (tubing or casing
heading) causes gas lift injection rates to fluctuate. This prob-
lem, which occurs when there are variations in casing and (ubing
pressures, is particularly prevalent in a field with multiple wells
drawing upon a single source for injection pressure. Square-
edged orifice valves with a simple cylindrical channel have
traditionally been employed as operating valves to transport the
gas. Gas flow through the channel is usually in the subcritical
flow regime. The injection rate from the casing to the tubing
fluctuates with the tubing pressure, even with a constant casing
pressure, allowing injection rates to be affected by both the
casing and tubing pressures. With this type of symmetric flow
geometry, critical flow (known as sonic flow velocity) will occur
when the down-stream pressure is z$()?io to 50% less than the
upstream pressure.
A new injection valve has been developed to ensure constant
injection rate from the casing to the tubing with constant casing
pressure, even when tubing pressure is only 10% less than casing
pressure. The laterally asymmetric internal geometry of the
nozzle-Venturi creates an injection valve that reaches critical
flow velocity with pressure differentials of only 10%. At critical
flow velocity, the injection flow rate becomes constant and is
controlled by casing pressure only. The new design is a 1-inch or
I-l/2-inch OD valve that fits into any standard side pocket
mandrel and can be deployed with standard slickline. A computer
software program has been developed to determine the proper
size orifice to output a specific flow rate at the given well
conditions.
Initial usage of the valve has shown that injection flow rates
will be constant if source pressure remains constant and tubing
pressure is 10 to 100 ZOess than the casing pressure.
Introduction
Unstable flow (casing heading) is a common occurrence in
continuous gas lift systems and can develop because the charac-
teristics of the system are such that small perturbations can
degenerate into huge oscillations in flow parameters.
Tubing Heading. Gilbert’ and Grupping et al.23were the first to
describe the mechanisms by which these unstable conditions are
generated. In many welIs, the operating gas lift valve is simply
an orifice valve and operates in the subcritical flow regime.
Under this flow condition, a temporary variation in tubing
pressure at the operating valve depth can result in an increase in
the gas injection rate through the gas lift valve, decreasing the
density of the production fluid. This in turn, decreases the tubing
pressure at the valve depth and increases the differential across
the valve, causing more gas to flow through the valve. The flow
from the reservoir will also increase as a result of the reduced
pressure in the tubing. This positive feedback process acceler-
ates until the casing pressure drops sufficiently, causing the
injection flow rate through the gas lift valve to decrease. As a
result of this process, the density of the fluid in the tubing string
increases, causing the production pressure to increase, and
subsequently, a reduction of reservoir fluid entering the wellbore.
These conditions remain until the pressure in the annuhrs
increases sufficiently and the rate of gas injection through the gas
lift valve once again increases.
Operating a well under these cyclical conditions has several
disadvantages. First, gas and liquid flow rate surges (or slugs)
can occur. Coupled with pressure surges in the production
facilities, these surges may be so large thal severe operational
problems, which include difficult operation of the low pressure
separator or compressor shutdown, can occur.4 Second, the full
lift potential of the gas is not used, resulting in an inefficient
operation that consumes excessive quantities of gas. Third, in
traditional prevention of gas lift instability, either I) more gas is
injected than needed or 2) the flow is choked at the well head,
which reduces the inflow from the reservoir.4 Fourth, production
control and gas allocation become very difficult because of
casing and tubing pressure fluctuations. With this condition, it is
more difficult to determine reliable production rates when
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testing.
Blick
et al. Asheim and Alhanati et’al. developed
stability criteria from which design parameters could be selected
or modified. Traditionally, there have been three options
considered practical for field installation tomodify an existing
unstable installation. These are: l)increasing the injection gas
rate, which increases compression costs and results in uneconom-
ical production; 2)reducing port size, which requires a slickline
well intervention, will then require an increase in injection
pressure to pass thesame gas flowrate, and in addition, can
increase production costs by opening the unloading valves
(multipoint injection); or 3) choking at the surface, which will
reduce the total production output. Although each option has
obvious operational drawbacks, the first is normally chosen.
To avoid tubing instability and the significant reduction of
cost efficiency that results, operating stability should be ad-
dressed during the design phase of the well(s) by requiring
accurate stability criteria and/or by initiating changes in the
existing equipment that can stabilize these conditions.
Casing Heading. In order for casing instability to occur, the gas
lift valve must permit the gas injection rate to fluctuate as a
function of theproduction pressure (i.e. the flow through the
valve has to be in the subcritical flow regime). Critical flow
through a gas lift valve, on the other hand, would ensure a stable
casing injection rate that would be unaffected by the production
pressure.
Operating a gas lift
valve or orifice valve in critical flow has
not been attempted by previous investigators as a means of
eliminating instability because of
the
excessive pressure differen-
tials required to achieve this flow regime. For example, with an
injection pressure of 1,000 psi, a pressure differential of approxi-
mately 400 psi would be required to achieve critical flow
through
thevafve.This would require excessivecompressioncosts,which
would not be economical.
The Nozzle-Venturi Valve
The nozzle-Venturi gas-lift valve has essentially the same
elements as an orifice valve with the exception that the squrire-
edge orifice is replaced with a converging-diverging aperture.
F@me 1 is a cross-sectional view of the valve. Gas constrained
between the upper and lower packing enters the valve through the
inlet ports, passes through the converging section, the throat, and
the diverging section, and finally, exits through the outlet ports
into the production string. A check valve prevents reverse flow.
The nozzle-Venturi valve has been designed to operate
easily and efficiently in critical flow, and therefore, can prevent
flow instability by holding the gas injection rate constant.
Flow performance of the square-edge Orifice Valve
and the Nozzle-Venturi Valve
Figure 2 illustrates and compares the flow performances
of both
the
square edge orifice and the nozzle-Venturi valve and shows
both the critical and subcritical flow regimes. The flow rate and
the production pressure are plotted on the vertical axis and the
horizontal axis, respectively. Both flow performance curves are
generated by gradually reducing the production pressure to
atmospheric while maintaining a constant injection pressure. It
should be noted that the flow rate through both valves increases
with a decrease in production pressure (or an increase in the
differential pressure across the valve). This continues until a
critical flow at the critical pressure through a valve is reached.
The flow rate remains constant thereafter. The flow regime
between the injection pressure and the critical pressure is termed
“subcritical flow regime,” whereas the flow between the critical
pressure and the atmospheric pressure is termed “critical flow
regime.”
The main difference between the two gas lift valves is
that the critical flow for the standard orifice valve is reached at
a production pressure that is approximately 60% of the injection
pressure, whereas the nozzle-Venturi valve attains critical flow
at 90’70of the injection pressure. .
In order to explain the difference in the flow performance of
a square-edge orifice valve and the nozzle-Venturi valve, the
pressure profiles for both flow control devices are plotted in
Figure 3, The dotted line represents the pressure profile for the
square-edge orifice, and the full line comesponds to the nozzle-
Venturi flow control device. For an injection pressure of 1,000
psia, the sonic flow at the throat (the critical flow regime) is
established for both devices. For air flow, this corresponds to a
pressure of approximately 540 psia at the throat. This flow
condition results in the maximum mass flow rate as indicated by
points A & B in Figure 2 for the nozzle-Venturi and the square-
edge orifice respectively. After the throat, where the greatest
velocity and the lowest pressure occurs, the pressure increases
(recovers), and the velocity decreases in the direction of flow.
For the nozzle-Venturi, the maximum pressure of 900 psia is
attained at the exit of the divergent section. The pressure
recovery for the square-edge orifice is only slight, resulting in the
exit pressure of 600 psia. Therefore, the sonic flow for a nozzle-
Venturi valve can be achieved at a much lower pressure differen-
tial, resulting in a higher exit or production pressure as compared
to a square-edge orifice valve.
With pressure differentials of 100-200 psi across the
operating valve, (a common design condition that is used in the
gas lift industry), critical flow can almost always be achieved,
thus eliminating casing instability and minimizing tubing
instability. 9’1011
Concept Testing
A nozzle-Venturi valve with a set of flow curves was tested to
verify the concept that the orifice would reach critical flow
within 10% of the upstream pressure. This valve was the original
prototype tested per API 11V2. The test facility contained an air
compressor capable of pressuring a string of tubing to 2,0tXl psi.
A series of storage tanks held the volume needed to sustain the
test. At the beginning of the meter run, an adjustable choke
valve was used to maintain a constant upstream pressure, and a
standard meter run was placed directly downstream of the inlet
choke, The test fixture, which reproduced a pocket section of a
side pocket mandrel, was located downstream of the meter run.
Another adjustable choke, placed just after the test fixture,
controlled downstream pressure. A valve and latch assembly was
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SPE 36597 NEWGASLIFTVALVEDESIGNSTABILIZESNJECTIONRATES:CASESTUDIES
installed in the test fixture. The entire system was then pressured
to 1,400 psi, and pressure was equalized upstream and down-
stream of the test fixture, Upstream pressure was held constant,
and downstream pressure was decreased in increments of
approximately 10 psig Figures 4, 5, 6 . Upstream pressure,
downstream pressure, differential across the meter run, and
temperature readings were taken at each increment, The test was
repeated for 900 psi and 400 psi. The calculated flow rates were
plotted and the results verified that critical flow was established
within 109Zof the pressure differential.
After acceptance of the basic concept, a prototype of the
nozzle-Venturi orifice was made to retrofit into a square-edged
orifice valve design. The retrofit valve was placed in the same
fixture and tested with the same pressures. This valve had not
been internally optimized for the nozzle-Venturi orifice, and
though critical flow was reached within 10% of the upstream
pressure, the maximum flow rate was less than with the first
concept valve. The valve was then redesigned with optimized
upstream and downstream geometries and a new check valve to
maximize the flow rate of the nozzle-Venturi orifice. A new
prototype was built, and tests duplicating the earlier tests were
performed. The results showed that the new valve design
maximized the flow rate and maintained the critical flow
characteristics of sonic velocity with 10 ZOifferential,
Development of Sizes
The nozzle-Venturi orifice profile geometty isdefined by a series
of specific equations. These equations were programmed on a
computer, and the profile dimensions were generated for a range
of sizes with throat diameters varying in MM-inch increments.
A spread sheet of the profile dimensions of each size was entered
into the computer-aided-design system, and all possible profiles
were created parametrically. An initial set of nozzle-Venturi
orifices with throat diameters of. 125 inch, .314 inch, and .50
inch were built and tested. Each test was done in exactly the
same fixture with exactly the same pressures as were used when
the original concepts were tested. Flow curves were drawn from
the data, and the curves were compared (Figures 4, 5,6). Without
exception, every test resulted in critical flow when the down-
stream pressure was 1O%-100% less than the upstream pressure,
thus proving that flow rates of a given orifice could be accurately
predicted with flow equations. The computer software program
developed with these equations was written to predict either tbe
flow rate for a given throat diameter or the throat diameter for a
given flow rate. The actual test results were then modeled on the
computer flow rate predictor program, and the results were
accurate to within 590 of the actual test results.
Case History
Nozzle-venturi Field
Trial
in a Dual Well Application.
While
there is a general industry recognition that a dual well will
minimize expense to develop a field, it is also known that
efficiency in gas lifting is difficult. Because they share a
common wellbore, both strings of the completion must draw
upon the same high-pressure gas-lift supply in the annulus. In
addition, the producing intervals are usually at different pres-
sures, which compounds the difficulties. Typically encountered
in dual gas lift wells is the problem of disproportionate distribu
tion of gas into each tubing string. One production string wil
accept too much gas, which robs lift gas from the other,
Platform Gail is a part of Chevron’s Sockeye field and i
located 10 miles off the coast of Ventura, California, Th
platform has 24 producing wells, 15 of which are on gas lift. O
the gas lift wells, 2 are dual gas-lift completions. Well E-16,
dual gas-lift completion on Platform Gail, had a history of sub
optimal gas Iift performance,
A schematic of the E-16 wel
completion can be seen in Figure 7.
There are two basic factors influencing the poor gas lif
performance in E-16. First, the long string was taking too much
of the available gas in the annulus, Ieaving the short string
starving for more lift gas. Second, there was a heading problem
in the long string. If too much gas was supplied to the annulus
on the surface, the long string would begin to slug wildly and
produce sand. Because of the platform processing equipment
sensitivity to pressure fluctuations, a severely heading well could
shut the entire platform down. Consequently, gas lifting E-16 wa
a calculated risk.
Supplying too much gas would increase production from the
short string but would increase the long string’s heading and the
well would produce sand. Cutting back on the gas lift supply
minimized the long string’s heading but also restricted the
production from the short string. To best solve the problem
using available equipment, a compromise that would not upse
the platform’s processing equipment was finally reached;
however, the well then produced at sub-optimal fluid rates.
Performance Characteristics.
A better engineering design wit
proper orifice sizing was needed. The performance characteris-
tics of the nozzle-Venturi made itan ideal replacement choice fo
the current orifice valves in E-16. In particular, the nozzle-
Venturi’s insensitivity to tubing pressure meant that it could be
designed for specific injection rates and that fluctuations in the
tubing pressure opposite the point of gas injection would have n
influence on the gas throughput of the valves. Only the casing
pressure would influence the gas injection rate, This would solve
the problem of properly allocating gas to each of the production
tubing strings.
The Asheim’ stability analysis was run, and the results con
firmed that the long string was prone to heading. The current
orifice valves were designed to operate in subcritical flow. As the
slugs caused fluctuation of the tubing pressure, the orifice valve
gas throughput also fluctuated. By accentuating the tubing
pressure swings with increased and decreased gas injection, the
orifice valve was only magnifying the pressure swings at the
surface. In contrast, the nozzle-Venturi valve would act to
dampen the natural slugging tendencies of [he long string by
injecting a continuous amount of gas. With the nozzle-Venturi
assuming critical flow at just 10% below the casing pressure,
fluctuating tubing pressure opposite the valve could not change
the valve’s gas throughput. It was expected that the nozzle-
Venturi valve would allocate the proper amount of gas to both
strings while minimizing any heading in the long string as long
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as the tubing pressure opposite the nozzle-Venturi valve was at
least 6% to 10% lower than the casing pressure at (he valve.
Design ing the Nozzle Venturi For I mngand Short S trings In
Well E 16
With predictable performance curves available,
designing the nozzle-Venturi valves for each string of a dual well
was simply a matter of deciding how much gas each string would
require, and then, sizing the valves accordingly to inject the
determined amounts of gas. In this test, both strings were already
operating on the bottom gas lift mandrel so there was no confu-
sion as to the depth of lift.
An inflow performance review was performed on each of the
completions using commercially available nodal analysis
software. Table 1 shows the input variables. The analysis
suggested that the PI for the short and long strings was 3.9 and
2.4, respectively. Figure 8 was then generated to predict the
production rates for various gas injection rates. Gas injection
rates prior to installation of the 2 nozzle-Venturi valves are
shown on the figure. The goal was to regulate the gas injection
volume to each of the strings while minimizing the heading in the
long string. With this in mind, the decision was made to design
the nozzle-Venturi valves to inject 600 MSCF/D into the long
string and 800 MSCF/f) into the short string. Casing pressures
could be set anywhere from 900 to 1,700 psig on the surface,
which afforded a certain amount of flexibility; i.e., the nozzle-
Venturi valve could be designed to inject 800 MSCF~ while
operating at a 1,500 psig surface casing pressure or to inject the
same amount with only 1,200 psig of surface casing pressure. In
either scenario, the most important consideration was ensuring
critical flow by maintaining enough differential across the valve.
Figure 9 depicts what the tubing pressures would be at the
nozzle-Venturi’s design gas injection rates. Both curves in the
figure were generated by simulating the pressure gradient in the
tubing strings at the expected liquid rates. The casing pressure
gradient is also shown for the highest achievable surface casing
pressure, which is 1,700 psig. As shown in the figure, it is
apparent that a 646 psi pressure differential between the short
string’s tubing and casing pressure at the location of the nozzle-
Venturi would exist. The differential achieves critical flow, but
it is also well in excess of the minimum differential necessary to
ensure critical flow. The differential is even larger for the long
string, The expected tubing pressure of the short string at the
nozzle-Venturi is 1,254 psig. Thus, to ensure critical flow, the
minimum casing pressure opposite the valve should be roughly
1,400 psig since a tubing pressure 10% less than the casing
pressure puts the nozzle-Venturi in critical flow. Ten percent of
1,400 psig is 140 psi, which corresponds to 1,260 psig for the
tubing pressure. Thus, 1,400 psig is the lowest casing pressure
at the nozzle-Venturi that would maintain the valve in critical
flow. It is important to note that 1,400 psig of casing pressure at
the valve corresponds to 1,200 psig for the surface casing
pressure.
Consequently, operating the casing pressure much
below 1,200 psig at the surface should not be considered.
As mentioned earlier, the casing pressure is the only factor
controlling the gas injection rate while the valves are in critical
flow. However, excessive casing pressure can also open other
valves in the gas lift string. The long string wasn’t a problem
because it only had one gas lift mandrel, but the short string had
4 gas lift mandrels, two of which contained dummies. The
second mandrel contained a live gas lift valve. A simple force
balance calculation was made to determine at what casing
pressure the valve in mandrel number 2 would open. The results
are displayed
in
Figure 10. Standardgas lift valves sense tubing
and casing pressure; thus, it was important that the tubing
pressure at the valve also be determined. A range of expected
tubing pressures at the second mandrel’s valve is displayed on the
figure and shows that if the surface casing pressure exceeds
1,860, the valve will open. Having established the working
surface casing pressure range to be 1,200-1,860 psig, the next
step was to size the nozzle-Venturi valves.
Orifice throat diameters of 0.14 inch and 0.129 inch ported
nozzle-Venturi were chosen for the short and long strings,
respectively. These sizes were selected because their injection
rates approximated the design rates at a surface casing pressure
of 1,400 psig, Because they were also prototypes, each valve
was tested in a flow loop to confirm predicted flow rates. Results
from those flow tests confirmed the theoretical predictions and
showed critical flow would exist when the downstream pressure
was
6 Z0-
10% lower than the upstream pressure,
Pi lot Tes t Resu lts Slickline operations to install the nozzle-
Venturi valves commenced on August 16, 1995, and well
production was resumed later that evening. Figures 11 and 12
are 4-pen charts showing casing and tubing pressures on the long
string before and after the nozzle-Venturi valves were run. The
static and differential pressures noted on the figures were used in
conjunction with a standard orifice plate to calculate the injection
volume.
Before installation of the two nozzle-Venturi valves, the
tubing pressure fluctuations, as shown in Figure 11, ranged from
110 to 230 psig on the long string. After installing the nozzle-
Venturi, the tubing pressure fluctuations were reduced to 110 to
160 psig. This represents a 60% reduction in the pressure range
over which the long string would slug. In a similar fashion,
Figures 13 and 14 are the short string’s 2-pen charts from before
and after installing the nozzle-Venturi valves. The tubing
pressure on the short string was reasonably steady before the
nozzle-Venturi’s installation. Note that the line designating the
tubing pressure is even steadier after the nozzle-Venturi’s
installation. The line is also thick, indicating an increased liquid
rate. Also, the tubing pressure is about 60 psi higher than it was
before, another sign that the fluid rate had increased.
Subsequent well testing revealed that the oil production from
well E-16 increased by 24y0 (500 BOPD). The decreased
heading, increased liquid rate, and successful lifting of the dual
completion strings all demonstrate the benefits of the nozzle-
Venturi valve. The well is also easy to troubleshoot.
Figure 15
was created to show how each nozzle-Venturi is performing,
based on the surface casing pressure. If the total measured gas
injection rate does not match the combined vaiue shown in
Figure 15, there is a potential problem with the existing gas lift
string(s).
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SPE 36597 NEW GAS LIFT VALVE DESIGN STABILIZES INJECTION RATES: CASE STUDIES
5
Nozzle-Venturi Injection Rate Prediction Test. One nozzle-
Venturi valve was used by a major European operator in a trial
program to test the capabilities of the flow profile. The trial was
to determine whether the nozzle-Venturi would pass more gas
with less casing pressure than a conventional square edged
orifice. Comparisons were to be made of theoretical and actual
well test data using a l/8-inch throat diameter nozzle-Venturi and
a l/8-inch throat diameter square edged orifice. They were each
installed in the top side pocket mandrel of the long string of a
dual well for the test.
A Thornhill-Craver curve was used to predict the flow
characteristics of the square edged orifice. A computer program
was used to predict the injection flow characteristics of the
nozzle-Venturi. Test data was taken with both valves and plotted
with the prediction curves. As shown on the chart in Figure 16,
both of the actual data curves show results of higher than
predicted casing pressure for a desired injection rate. However,
the nozzle-Venturi data curve was much closer to the prediction
than the square edged orifice. Also, the results of the actual and
theoretical curves show clearly that the nozzle-Venturi valve will
pass significantly more gas at lower casing pressures. For
example, at a casing pressure of 40 bar, a square edged orifice
would pass approximately 1300m3/d, and at the same casing
pressure, the nozzle-Venturi would pass 5200m~/d, The operat-
ing tubing pressure at the valves is very close to 10% less than
casing pressure. This indicates that the nozzle-Venturi orifice is
operating in the region that is right at the beginning of the critical
flow region. This region shows the greatest difference in flow
rate between the square edged orifice and nozzle-Venturi orifice
as can be seen in the difference between points A and B in Figure
2.
Test results confkrrted that the prediction program for sizing
of the nozzle-Venturi for the given well conditions is accurate
and that the nozzle-Venturi valve was able (o provide economic
advantage by reducing the casing pressure and quantity of lift gas
required to provide production comparable to that produced with
a square edge orifice valve of the same size.
Nozzle-Venturi Valve Advantages
The main advantage of the nozzle-Venturi valve over other gas
lift valves (including the orifice valve) is that critical flow can be
achieved with a production pressure that is only 6?10-10% lower
than the upstream pressure whereas standard valves require a
40% differential, Other advantages include the following:
1.The gas lift casing flow instability can be eliminated since the
nozzle-Venturi valve can always operate in the critical flow
regime.
2. The flow rate through the nozzle-Venturi valve will be higher
than the flow rate through the standard valve, as shown by points
A and B in Figure 2. Therefore, in high-rate installations, the
number of required valves per well can be reduced.
3. The injection flow rate through the gas lift valve can be
controlled at the wellhead by regulating the injection pressure,
preferably by a pressure controller.
4. In dual completions, the gas injection rate into each of the
production strings can be controlled, preventing gas robbing, a
common occurrence in duals, by the more productive string. R
5. In a gas lift field, the nozzle-Venturi valve can reduce the
tubing head pressure fluctuations and eliminate the casing head
pressure fluctuations, thus facilitating gas allocation and field
optimization.
6. The dimensions of the nozzle-Venturi valve allow it to be
used in any standard side pocket mandrel, and standard latches
can be used.
It should be noted that the case histories have only been able
to verify the production capabilities of the valves in short term
trials. The development of the nozzle-Venturi has been so recent
that there has not been sufficient time to compile data concerning
long term cost advantages and/or increased production that can
be attributed to usage of the new valve.
Conclusions
The nozzle-Venturi valve will eliminate casing heading caused
by fluctuations in the gas injection rate. It will inject at a
constant rate with a constant pressure no matter what the tubing
pressure is as long as the tubing pressure is 107. less than the
casing pressure at the point of gas injection, This eliminates one
of [he many variables contributing to tubing heading. In dual
applications, a nozzle-Venturi in each string at the injection point
will allow a constant and predictable flow rate into each well,
given a constant casing pressure. If one well has a history of
fluctuating tubing pressure, the casing pressure will fluctuate and
will affect the injection rate of the other well when square-edged
orifices are used. If a nozzle-Venturi is used, a fluctuating tubing
pressure in one string will not cause the casing pressure to
fluctuate. Thus, the second string will be unaffected. The same
concept can be used
when
multiple wells use the same injection
pressure source. A nozzle-Venturi in each well will ensure that
the injection flow rates will be constant as long as the source
pressure remains constant and the tubing pressure is 10% to
100% less than the casing pressure. A computer throat-diameter
sizing program has been developed to facilitate prediction of gas
injection rates.
Acknowledgments
The authors wish to thank Chevron and Halliburton Energy
Services for their support in advancing this technology and for
permission to produce this paper.
References
1.
2.
3.
4.
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API
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Grupping, A.W,, Luca, C.W.F., Vermulen, F.D.: “Continuous
Flow Gas Lift: Heading Action Anafyzed for Stabilization,” Oil
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Grupping, A.W., Luca, C.W.F., Vermulen, F.D.: “Continuous
FfowGas Lift: These Methods Can Eliminateor Control Annrdus
Heading,” Oil and Gus Journal 30 July 1984, 184-192.
Everitt, T.A.: “Gas-Lift Optimicaiton in a Large, Mature GOM
Field,” paper SPE 28466, presented at the SPE 69th Annual
Technicaf Conference, New Orleans, LA, September 1994,25-28.
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10.
Il.
Blick,E.F.,Enga, P.N.,Lhr, P.C.: “StabilityAalysisofFlowing
Oil Wells and Gas Lift Wells,” SPEProducfion Engineering
November 1988,508-514.
Asheim, H.: “Criteria for Gas Lift Stability,’(JPT November
1988,1452-56.
Alhanati, F.J.S., Schmidt, Z, Doty, D.R.: “Continuous Gas-Lift
Instability: Diagnosis, Criteria, and Solutions,” paper SPE 26554,
presented at the SPE 68th Annual Technical Conference and
Exhibition, Houston, TX, 3-6 October 1993.
Clegg,
J.D.:
“DiscussionofEconomicApproach to Oil Production
andGas Allocation in Continuous Gas Lift,” .lPT February 1982,
301-302.
Mach, J.M., Proano, E.A., Mukherjee, H., Brown, K.E.: ’ANew
Concept In Continuous-Flow Gas Lift Design;’ paper SPE 8026,J
SPE
Dec.’83, 885-890.
DeMoss, E., Gas Ll~tManual Teledyne Merla, Garland, Texas.
Brown, K.E.: “The Technology of Artificial Lift Methods,”
Petroleum Publishing Company, Tulsa Oklahoma.
S1
Metric Conversion Factors
bar
X
1.0* E+05=Pa
in. x2.54* E+OO=cm
psi x 6.894757 E+OO=kPa
bbl X 1.589873 E+03=mz
*Conversion factor is exact
Table 1. Input Variables
BOPD
BLPD BS&W
ProducedGOR
Injected SCF/D
Long String
I
1,038
I
1,298
I
20%
I
559
I
773
WHP (
Oii Gravity
Reservoir Pres- Reservoir Tempera-
PSiG)
(:S~G)
(APi)
sure (PSIG) ture (F)
Short String
170 994 18
1,780 160
Long String
210 994 28
1,400
180
240
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Inlet Ports
Converging Section
Throat (Orifice)
Diverging Section
Packing
Check Valve
Outlet Ports
Figure 1
The Nozzle-Venturi Valve
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Critical Flow
Conventional
New Nozzle-
Venturi Valve
I
Critkel Flow
Subcritical I
Gas
: Flow
Injection
I
Rate
:
I
I
I
I
Production Preaaure ~
Figure 2
Flow Performance of a Conventional OrificeValve Compared to a Nozzle-VenturiValve
quare-Edge Orifice
‘Nozzle-Venturi Circular Arc Venturi)
1~”
—----,
900
I
~utl
\wVen
I
*O*
Square-Edge Orifice
----- -- 1-- ----- ----- ----- ----- ----- ----- ---~
Distance
Figure 3
Pressure Profiles
for Square-Edge
Orifice and Nozzle-Venturi Valves
242
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400
350
300
e
~ 250
5 ‘0
( 150
u.
100
50
0
.
0
m“
400
600
600
1000
12(M)
1400
i600
IICWMT- P~
(w
Figure 4
Nozzle-Venturi.1 25 Orifice Flow Curve Comparison
26m
500
n
“
o
200
400
600
600
mm
I
zm
1400
16m
Tubing Pressure
Figure 5
Nozzle-Venturi .324 Orifice Flow Curve Comparison
60W
.*
a
2om
n
o
200
400
500
600
lom
12m
1400
16~
T@ng Presewe (psi)
Figure 6
Nozzle-Venturi .500 Orifice Flow Curve Comparison
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2,000
1,8U0
1,6Q0
$1,400
1,200
1,000
WI
Live
~
I
...
...
...
...
...
...
...
...
Well E-16 Completion Schematic
..-.....--”” -
..&-
------
-----
*----
..-
.. -
...
~ A*
.,
/’
,.’
.’
.
.
.
.
,
*
.’
.
.
.
/
A-
/
0
200
400 400
MO
1 1 2
1,400
Injoctlon QU Volunn (MWD)
Figure 8
Predicted ProductIon Rates
244
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17000da
o
6020
\.
“,,
i.
‘,,
4
‘ ,
&
A
.,.
k
‘,
i
\
I
I
I
\
I
\
I
I
\
\
~.a
I
I
Unlmdng’”..
I
Vdw
4
I
‘i
I
I
o
zm 4m 600 000 1000 1200
1400 fn Imo 2000
RNmnm (HG)
Figure 9
PredictedTubing Pressure with Nozzle-Venturi Gas Injection Rates
“’oo~
2,000
g
g
I
1,700
t
1
520 MO
7m
am Wo
Tubing Woauro Al m. Vdw @.SIG)
Figure 10
Surface Casing Pressure Required to
Open Gas Lift Valve in Second Mandrel
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0
F
g
e
1
W
e
E
1
L
S
n
B
o
e
N
e
V
u
I
n
a
a
o
F
g
e
1
W
e
E
1
S
n
A
e
N
u
I
n
a
a
o
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a
u
.
,
247
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2,000 I
I
mm
1,000
1,200
1,400
1,600 1,64)0
Sutface Casing Pressure (PSIG)
Figure 15
Nozzie-Venturi Performance Based on Surface Casing Pressure
8
/“
/-
60
./ /..
./
5
~
t
a
4
~ 30 -
i
i.-
..- ,
,..
i
I
I
i
I
20
..”
I
-..
i
I
I
I
10
i = ” ’ ”
I
I
. “O””.” I ,wwd)
I
15200 (mVd)
-.*
,.
0 ‘
1
I
1 1 I I 1
I t
2,000
2000 2000 6000 Woo
6000 7000
8000 6000 10000
Gas Injoc tlon Rat . (ma id )
Figure 16
Nozzle-Venturi
Flow Performance Comparison to Squar-Edged
Orifice Performance
Actual andTheoreticai Curves
248