spe120681-ms 9 abril
TRANSCRIPT
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Copyright 2009, Society of Petroleum Engineers Inc.
This paper was prepared for presentation at the 2009 SPE Production Operations. Symposium held 4 -8 April 2009 in Oklahoma City, Oklahoma, USA.
This paper was selected for presentation by an SPE Program Committee following review of information contained in a proposal submitted by the author(s). Contents of the paper, aspresented, have not been reviewed by the Society of Petroleum Engineers and are subject to correction by the author(s). The material, as presented, does not necessarily reflect any positionof the Society of Petroleum Engineers, its officers, or members. Papers presented at SPE meetings are subject to publication review by Editorial Committees of the Society of PetroleumEngineers. Electronic reproduction, distribution, or storage of any part of this paper for commercial purposes without the written consent of the Society of Petroleum Engineers is prohibited.Permission to reproduce in print is restricted to a proposal of not more than 300 words; illustrations may not be copied. The proposal must contain conspicuous acknowledgment of whereand by whom the paper was presented. Write Librarian, SPE, P.O. Box 833836, Richardson, TX 75083-3836, U.S.A., fax 01-972-952-9435.
AbstractThe need for better understanding of sucker rod pumping
process is heavily required. Many problems are still under
investigation such as determination of the fluid level fromsurface, selection of the optimum pump size and the
required pump setting depth to maximize the pumping
rate in a particular well. The main purposes of this studyare to investigate effects of fluid level over pump, pump
size, and pump setting depth on the sucker rod
performance. These goals are achieved using the Artificial
Sucker Rod Pump (ASRP) design simulator with actualfield data.
The results show that applying good fluid level from the
surface and increasing the plunger stroke consequentlyincrease the resultant pumping flow rate. Furthermore,
good fluid level yields high pump intake pressure andresults in a good pump fillage, which increases the pump
efficiency. In addition, the analysis of the effect of pumpsize on rod stress shows that the increase of pump size
increases the rod stress and increases the pump flow rate.
Therefore, the plunger size must be selected according to
both the required flow rate and the allowable sucker rod
stress. With respect to the effect of the pump setting depthon the performance of the sucker rod pump, the increase
of the pump setting depth reduces the pump flow rate and
increases the rod stress. Actual Egyptian field data is used
for the purpose of achieving this simulation investigationof the above-mention effects.
1. Introduction and Literature ReviewThe energy crisis confronting the world now has made the
optimum selection and operating of the oil field
production equipment to be a must. This is certainly verytrue of oil field pumping units, especially for the
developed/depleted wells. It is imperative to size the
pumping unit according to the well conditions as accurateas possible. In the mean time, it is equally important to
operate the pumping unit within its optimum rate to avoid
the costly downtime due to breakdown. This meansobtaining a better understanding of the important factors
affecting the pump performance such as the influence of
the fluid level from surface, the effect of pump size and
pump setting depth on both the pump flow rate and the
rod stress of the sucker rod as an artificial lift method.
The purpose of the artificial lift is to maintain a reduced
bottom-hole pressure so that the producing formation can
provide the desired flow rate of reservoir fluids. There aremany artificial lift systems1-6 currently applicable in the
petroleum industry. These systems include: (1) Sucker
rod pumping (Beam pumping), (2) Gas lift, (3) Electrical
submersible pumping, (4) Hydraulic (Piston and Jet)pumping, (5) Plunger (Free-piston) lift, and (6) other
methods such as: Ball-pump and Gas-actuated pump. Thebeam pumping system3 is the most popular artificial lift
system all over the world.The sucker rod pumping
system1,3,5,6consists mainly of five parts including (1) Thesubsurface sucker rod-driven pump, (2) The sucker rod
string, (3) The surface pumping equipment, (4) The power
transmission unit, and (5) The prime mover. The pump1consists simply of a working barrel (or linear) suspended
on the tubing; the plunger is moved up and down inside
this barrel by the sucker rod string. At the surface, the unit
and prime mover provide the oscillating motion to the
sucker rod string and then to the subsurface pump. Suckerrods are available in different sizes including the
following standard sizes 5/8, 3/4, 7/8, 1.0, and 17/8 // in
diameter. Two valves are installed at the bottom of theworking barrel. These valves are (a) standing valve (SV):
it is a stationary ball-and-seat valve, and (b) travelling
valve (TV): it is located in the plunger.
Maintaining the required bottom-hole pressure is the basis
for the design procedure of any artificial lift installation
regardless of the type of lift installed. All methods2, 3
ofthe design of a sucker rod pumping system confirmed that
the fluid level over the pump and the setting depth of the
pump represent two of the minimum mainly required
SPE 120681
Effects of Subsurface Pump Size and Setting Depth on Performance ofSucker Rod Artificial LiftA Simulation ApproachShedid A. Shedid, Texas A&M University at Qatar
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information to start the design procedure. Han et al7
showed that the setting depth of the subsurface pump is an
important predetermined parameter for the process ofpump design, while assuming 100 % pump fillage and a
pumped off conditions. These conditions may not be
consistent with the operated well conditions.
Although sucker rod pumping has been widely applied in
the oil industry as one of the most popular artificial liftmethod, it still has many questions seeking satisfactory
answers. These questions may include what are the
optimum pump setting depth and the plunger sizeproviding the maximum pumping rate for a specific
producing well?, what is the required fluid depth over the
pump in the annulus during pumping?, and what is the
influence of rod stress on the selection of the pump size,
and consequently on the resultant flow rate?.
Actual field data of some Egyptian oil fields including:
Aman, North East, and Meleiha are used to achieve this
study. In addition, this study investigates mainly the
effects of fluid over pump, pump size, and pump settingdepth on the sucker rod pump performance.
2. Sucker Rod Pumping Analysis
The analysis of the sucker rod pump has been performed
using the Artificial Sucker Rod Pump (ASRP) design
software called LOADCAL. LOADCAL8 is a design
calculation program for conventional-Mark II-RM- andair balance units. This program uses API-RP-11L
procedure and is based on developing a set of graphs for
the desired unit geometry and pumping conditions byusing a wave equation program. Through the development
of this design software, the wave equation and simulationtechniques are used to mimic pumping conditions andcalculate the loads and displacements.
Three selections are available while using the LOADCALprogram8. These selections include: (1) APIROD:
Predicts pumping unit loadings for standard API rod
strings, (2) SBAR: Predicts pumping unit loadings with
non-standard rod strings and/or sinker bars at the bottomof the string, and (3) TMAX: Determines production and
pumping unit loads for a given maximum torque (A
standard API rod string is assumed). Another set ofselections are also used for the development of the
LOADCAL program and can be used for loading
calculations. These sets involve: (1) Conventional, (2)Mark II, (3) RM Unit, and (4) Air Balance. This current
study has been achieved using the following twoselections, which satisfy the needs for the selected well
and pump conditions under investigation: (1) APIROD,
and (2) Mark II. It is important to indicate the differencebetween the pump depth and the fluid level over pump.
The pump depth refers to the distance from surface to
pump (ft). The fluid level refers to the distance fromsurface to fluid level in the producing well (ft).
The output of the LOADCAL program8 contains thefollowing information: (1) Torque, (2) Peak polished rod
load (PPRL), (3) Minimum polished rod load (MPRL),
(4) The required counterbalance effect (CBE) in pounds,
(5) Pumping speed in stroke per minute, (6) Polished rodhorsepower (PRHP), (7) The production at 100 %
efficiency in barrels per day, and (7) The production at 80
% efficiency in barrels per day. For the purpose of
achievement this simulation investigation study, the peak
polished rod load (% Goodman diagram) and theproduction at 80 % efficiency are used since all of the
other output parameters are kept constant as inputs.
With respect to the selection of the pump size, the pumpdisplacement3 for given plungers size and for given
combination of pumping speed and stroke can be
determined from the following equation:
xNKxSPD P= (1)
Where
PD = Total pump displacement, B/D
K = A pump constant, depending upon the plunger sizeand given by K = 0.1484 AP.
AP = Cross-sectional area of the pump plunger, sq. inch
SP = effective plunger stroke, inch
N = Pumping speed, spm.
The volumetric pump efficiency (EV) can be determinedby:
PDQEV /= (2)
Where
Q = Actual production rate at the surface, B/D
The volumetric pump efficiency (EV) is influenced by
pump slippage and produced fluid properties such as gas
constant, foaming characteristics, and fluid shrinkagefactor.
With respect to the stress of the rod string, the maximum
anticipated stress of a tapered rod string has not to exceed
the safe allowable working stress (usually 30,000 psi).
The maximum stress at the top of the entire rod string
(also called Peak Polished Rod Load, PPRL) can beexperimentally measured or calculated as follows:
Top
Max
A
W
toptheatStress =
(3)
Where
WMax= Maximum weight of the rod string, lb
ATop = Cross-sectional area of the top rod string section,
sq. inch. The maximum stress5of the rod string depends
mainly on the grade of the used rod. For API Grade C
rods, the maximum allowable stress is given by:
SA= (22,500 + 0.5625 Smin) x S. F (4)
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And for API Grade D rods, the maximum allowable stress
is given by:
SA= (28,750 + 0.5625 Smin) x S. F (5)
Where
Smin= Minimum rod stress (either calculated or measured)
S F = Service Factor (S F = 1.0 for API Grades C and D)
3. Results and Discussions
The flow rate (at 80 % pump efficiency) and stress
load for sucker rods (Norrris, N97) versus fluid over
the pump have been estimated for the well and pump
conditions, listed in Tables 1 and 2. These
conditions represent a wider range than actual and
currently used conditions in the Egyptian oil fields.
The flow rate (at 80 % pump efficiency) is
calculated considering the plunger/barrel slippageeffect, well fluid properties and the shrinkage factor.
The rod stress of the sucker rod pump is alsocalculated as a percentage of Goodman diagram
considering Artificial Service Factor (ASF) to be
unity.
3.1. Effects of Fluid Level from Surface andFluid over Pump
Seven different fluid levels from surface are used to
investigate this effect, as shown in Figs. 1 to 5.The
influences of fluid level on required power,maximum load, net production, maximum torque,
and rod loading are shown in Figs. 1 to 5,
respectively. The results indicated that an increase in
net production occurs with a decrease in fluid level
from surface (or increase of fluid over pump). Three
different fluid levels over the pump are used to
investigate the influence of fluid over pump on
pump flow rate and rod stress. These fluid levels are:
(1) Zero ft (pump is set at the same fluid level), (2)
500 ft above the pump and (3) 1,500 ft above the
pump. Using well and pump conditions listed in
Table 2 and for pump setting depth equals 5,500 ft,both the pump rate (at 80 % efficiency) and the rod
stress (% of Goodman diagram) are calculated using
the LOADCAL program. One-hundred-eight runs
are performed and the results are tabulated as shown
in Table 3. Another set of 108 runs is made but for
pump setting depth of 5,900 ft, Table 4. The results
indicated that the increase of fluid over pump
increase the attained flow rate for different stroke
lengths and different stroke per minutes. Results
concerning the investigation of this effect are shown
in Tables 3and 4. These results indicate an increase
of the pump flow rate when the fluid level over
pump increases. The good fluid level over the pumpreduces the rod stretch and consequently increases
the effective plunger stroke. This consequently leads
to an increase in the pump flow rate due to the
resulting high pump intake pressure. In addition, the
increase of fluid level leads to a reduction in sucker
rod stress, due to the buoyancy effect. A conclusion
can be drawn that the increase of fluid level leads to
an increase of pump flow rate and a decrease of rod
stress, for different values of stroke length, pump
speed, and pump setting depth.
3.2. Effect of Pump Size
Four different pump sizes are selected to study this
effect on the artificial sucker rod pump performance.
These pump sizes include: 2.5, 2.25, 2.0, and 1.75
inch. For each pump size, Nine runs are made fordifferent values of stroke length (112, 128, and 144
inch). Therefore, the total number of performed runs
is thirty-six for each fluid level. Two other sets (each
of 36 runs) are made for other two fluid levels of
500 and 1,500 ft respectively. Results are tabulated
in Tables 3 for pump setting depth of 5,500 ft and in
Table 4 for pump setting depth of 5,900 ft. There is
an optimum pump-bore, which provides effective
stroke travel and maintains moderate speed of
operation. Larger plunger provides unnecessarily
high load upon equipment while smaller plunger
leads to high pumping speed and increasesacceleration (inertial) effects. Equation 2 is usually
used to select the most suitable pump size based on
the actual production rate at the surface and the
pump displacement. The main drawback of this
equation is that it does not consider the effect of
increasing the flow rate on the rod stress. Therefore,
the current study generates satisfactory results for
filling this gap, treating this lack, and overcoming
this drawback of equation 2. The results of this
study, tabulated in Tables 3 and 4, indicate that
using larger pump size increases the flow rate and
also increases the sucker rod stress. Then, Using asmaller sucker rod size can reduce the rod stress of
the sucker rod pump without reducing the well flow
rate. The application of this beneficial conclusion is
expected to reduce the rod parted phenomena and
the downhole pump failures.
More sizes of pumps are also investigated and
graphically plotted in Figs. 6 to 10. The influence of
pump diameter on surface maximum load, power
required, existing maximum torque, rod loading, and
average pumping speed, are shown respectively in
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Figs. 6 to 10. The results indicated that the minmum
maximum surface load is attained when pumpdiameter of 1.50-in is used and the increase of pump
size increases to maximum load and decreases the
power required.
3.3. Effect of Pump Setting Depth
Two different pump setting depths (5,500 and 5,900ft) are considered for studying this effect on sucker
rod pump performance. For each selected pump
depth, 108 runs are performed considering different
fluid levels (Zero, 500, and 1,500 ft), different pump
sizes (2.5, 2.25, 2.0, and 1.75 inch), different strokelengths (112, 128, and 144 inch), and different pump
speeds (6, 8, and 10 spm). The results of using pump
depth equal to 5,500 ft is listed in Table 3, while the
results of pump depth equals 5,900 ft is shown in
Table 3. The increment of pump setting depthcauses an increment of the length of sucker rod
string. This increment of pump setting depth yields
an increase of the rod stretch and decreases the
effective stroke length. Consequently, the increase of
pump setting depth leads to a decrease in the
resulting flow rate. This conclusion can be obtained
from a comparison the results of Tables 3 and 4.
The reduction in flow rate can be attributed to the
increase of sucker rod stress due to the increase of
rod weight and the resulting increase of friction (due
to the increase of the number of rod connections).
4. Field Applications
Three wells are selected from three different
Egyptian oil fields, including North East, Aman, and
Meleiha, to be used as field applications of this
study, Table 1. These selected wells and their pump
conditions are then used to define the applied range
of well and pump conditions, as shown in Table 2.
In addition to studying the effects of fluid level over
pump, pump size, and pump setting depth on the
performance of the sucker rod performance, the
obtained output of this study can be used effectivelyfor: (a) mechanical evaluation of the pump
performance, and (b) determination the importance
of considering the pump fillage and friction effects.
With respect to well NE-20, North East Field, the
calculated flow rate is 611 B/D while the measuredone is 540 BOPD with 36 Mcf/D gas. This deviation
is mainly attributed to the existence of gas since the
used design method (API-RP-11L) assumes 100 %
pump filling. For the well A-21, Aman oil Field, the
calculated flow rate is 293 B/D while the measured
one is 105 BOPD and 1.0 BWPD. Therefore, this
well is expected to bear some mechanical problemsand the well operating conditions should be re-
evaluated. For the well M-1, Meleiha oil Field, the
calculated flow rate is 315 BOPD with 27.4 Mcf/D
gas while the measured liquid flow rate is 550 B/D.
The difference is attributed to the existence of the
fluid pound. Table 1 listed all the used field data,
the program results of flow rate and rod stress (%
Goodman diagram) and comment on the results.
5. Conclusions
This simulation study was undertaken usig actualfield data to investigate the effects of fluid level
from surface, pump diameter, and pump setting
depth on the performance of sucker rod pump
performance. The following conclusions are
attained:1. The pump flow rate increases with the increment
of the fluid level over the pump while the pump
rod stress decreases, for fixed values of pump
speed, stroke length, and pump size of the
sucker rod pump.
2. The increase of pump size increases the flowrate and decreases the rod stress. Therefore, the
plunger size of the pump has to be selected to
gain the desired flow rate and to avoid the
overload stress condition. This conclusion is
valid for different conditions of fluid level,
pump setting depth, and stroke length.3. The decrease of pump setting depth increases the
pump flow rate and decreases the rod stress. The
increase of the resulting flow rate is mainly
attributed to the increase of pump intake
pressure while the reduction of the resultingstress is mainly attributed to the reduction in
length and weight of the sucker rod.
6. Recommendations
1. The results of this study recommend using 2.25//
pump size because these pumps are moresuitable for flow rate range of 500 to 600 BPD
with stroke length range of 8 to 10 inch and fluid
level over pump > 500 ft.
2. The results proves that the 2.5// pumps have tobe installed to produce more than 600 BPD,
although higher rod stress (more than 70 % of
Goodman diagram with artificial service factor =
1.0) is encountered. This application has to be
limited to the only required special cases.
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3. In order to avoid the rod partition and to reducethe spare parts, the following recommendationscan be applied: (a) the Electrical Submersible
Pump (ESP) could replace the 2.5// sucker rod
pump after a detailed reservoir analysis of
well/pump conditions, and (b) the 2.5// pumps
could be installed in wells producing more than
600 BPD and having a high value of water cut.
4. The advantages of using 1.75// pump sizeinstead of 2.0// are not so evident to justify their
application for lower flow rates in the future.
Nomenclature
ASRP Artificial Sucker Rod Pump
AP Cross-sectional area of the pump plunger,
sq.
inch
ATop Cross-sectional area of the top rod string
section, sq. inch
CBE Required Counterbalance Effect
K Pump constant, depending upon the plunger
size and given by K = 0.1484 AP.
EV The volumetric pump efficiency
MPRL Minimum Polished Rod Load
N Pumping speed, spm.
PD Total pump displacement, B/D
PPRL Peak Polished Rod Load
PRHP Polished Rod Horsepower
Q Actual production rate at the surface, B/D
SA Maximum allowable stress, psi
Smin Minimum rod stress (either calculated or
measured)
S F Service Factor (S F = 1.0 for API Grades C
and D)
SP Effective plunger stroke, inch
WMax Maximum weight of the rod string, lb
Subscripts
P Plunger
Min Minimum
V Volumetric
References
1. Nind, T. E. W. :Principles of Oil WellProduction: McGraw-Hill Book Company,
Second Edition, New York, Chapter 9, 1981, P.
240-58.
2. Gibbs, S. G., Predicting the Behavior of a
Sucker Rod Pumping System, SPE ReprintSeries, No. 12, published by the Society of
Petroleum Engineers of AIME, Edition of 1975,
pp. 13-22..
3. Brown, K. E., Overview of Artificial LiftSystems, Journal of Petroleum Technology,
October, 1982, pp.2384-96.
4. Guirados, C.; Sandoval, J. Rivas, O. andTroconis, H., Production Optimization of
Sucker Rod Pumping Wells Producing Viscous
oil in Boscan Field, Venezuela, SPE 29536,
The Production Operation Symposium,
Oklahoma City, Ok, 1995.5. Hirschfeldt, M., Martinez, P., and Distel, F.
Artificial Lift Systems Overview and Evolution
in a Mature Basin: Case Study of Golfo San
Jorge, SPE 108054, the 2007 SPE Latin
American and Caribbean Petroleum EngineeringConference, Buenos, Argentina, 15-18 April,
2007.
6. Ghareeb, M., Shedid, S. A., Ibrahim, M.,Simulation Investigations for Enhanced
Performance of Beam Pumping System for DeepHigh Volume Wells, SPE 108284, the 2007
International Oil Conference and Exhibition inMexico, Veracruz, Mexico, 2730 June, 2007.
7. Han, D., Wiggins, M., and Menzie, D., AnApproach to the Optimum Design of Sucker-
Rod Pumping Systems, SPE 29535, presented
at the Production Operation Symposium held in
Oklahoma City, OK, USA, 2-4 April, 1995, pp.
855-866.
8. Instructions for the use of LOADCAL (IBMVersion)-Internal Edition: Lufkin Industries,
Inc., Texas, 1998, USA.
9. Clegg, J. D., Improved Sucker Rod Design
Calculations Southwestern Petroleum ShortCourse, 1988.
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Table 1- Well and Pump Data of Three Egyptian Oil Fields
Field North East Aman Meleiha
Well Number North East-20 Aman-21 Meleiha-1Pump type Lufkin Mark II Lufkin Mark II Lufkin Mark II
Stroke length 144 inch 144 inch 144 inch
Pump diameter 2.25 inch 2 inch 2.25 inch
Pump intake 5,600 ft 5,625 ft 5,785 ft
Oil API 40 degree 40 degree 40 degree
Water sp. gravity 1.05 1.05 1.05
Oil production rate 540 BOPD 105 BOPD 315 BOPD
Water prod. Rate 0.0 BWPD 1.0 BWPD 0.0 BWPD
Gas production rate 36 Mcf/d 0.0 Mcf/d 27.4 Mcf/d
Surface temperature 70 oF 70 oF 70 oF
Bottom-hole temp. 180 oF 180 oF 180 oF
Pump efficiency 97 % 100 % 77 %
LOADCAL. Results
Flow Rate 611 B/D 293 B/D 550 B/D
Rod Stress 58.3 % 46.9 % 57.3 %
Comment Fluid pound exists ------- Fluid pound exists
Table 2 Applied Well and Pump Conditions
Type of surface unit Lufkin Mark II
Stroke/minute 6, 8, and 10.
Water cut 0 % and 50 %
Well head pressure 50 psi and 100 psi
Produced crude oil API 40 degree
Pump plunger size 2.5//, 2.25//, 2.0//and 1.75//
Pump setting depth 5,500 ft for runs in Table 3 and
5,900 ft for runs in Table 4
Type of rod string Norris 97 (high tensile-strength rod)
Produced crude oil specific gravity 0.82
Sucker rod string configuration size 87 ( 1//+ 7/8//)
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Table 3- Calculated Values of Pump Flow Rate and String Load for
Different Pump Sizes, Fluid Level over Pump, Stroke Length,
and Stroke per Minute (Pump Setting Depth = 5,500 ft).
Operating Conditions
Pump Depth = 5,500 ft
Well Head Pressure (WHP) = 50 to 100 psi
Fluid Pump 112 128 144
Over Size Stroke Length(in) Stroke Length(in) Stroke Length(in)
Pump Goodman 6 8 10 6 8 10 6 8 10
(ft) Diagram SPM SPM SPM SPM SPM SPM SPM SPM SPM
2.5// 296 410 532 355 486 636 412 567 739
% 57.4 57.4 62.9 53 59.6 66.3 54.6 61.6 69.6
2.25//
256 353 460 302 417 543 349 480 624
0 % 44.3 50.2 56.5 46 52.5 60 45.2 55.3 63.1
2// 213 294 362 250 344 445 287 393 507
% 38.2 44.1 50.7 40.9 47.3 53.7 43.5 60.6 66.7
1.75 171 235 302 200 273 350 226 311 396
% 34.1 39.8 44.9 36.8 43.1 48 39.4 46.3 51
2.5// 307 422 549 364 501 652 421 579 756
% 48.3 54.3 60.2 49.9 56.5 63.6 51.5 58.7 66.9
2.25// 262 361 471 306 425 553 443 487 632
500 % 41.7 47.6 54.3 43.8 50.3 57.7 46.4 53.4 60.6
2// 217 299 367 254 348 449 291 396 512
% 36.8 42.6 45.7 39.5 45.8 51.7 42.1 49 54.7
1.75 174 237 305 202 275 353 230 313 401
% 33 38.7 43.3 36.7 41.9 46.4 38.3 45.1 49.5
2.5// 324 446 552 361 525 683 439 602 761
% 42 47.9 54.7 44.1 50.6 58 46.7 53.8 61
2.25// 274 377 489 321 439 568 368 502 647
1500 % 37.4 43.3 49.5 40.1 46.6 52.2 42.7 49.8 55.6
2// 225 306 396 262 358 459 299 407 521
% 33.9 39.6 44.5 35.6 42.9 47.7 39.2 46.1 50.7
1.75 178 243 311 207 281 359 234 319 407
% 30.5 35.4 40.1 32.8 39 43 33.9 40.3 45.3
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Table 4- Calculated Values of Pump Flow Rate and String Load for
Different Pump Sizes, Fluid Level over Pump, Stroke Lengths,
and Stroke per Minute (Pump Setting Depth = 5,900 ft).
Operating Conditions
Pump Depth = 5,900 ft
Well Head Pressure (WHP) = 50 to 100 psi
Fluid Pump 112 128 144
Over Size Stroke Length(in) Stroke Length(in) Stroke Length(in)
Pump Goodman 6 8 10 6 8 10 6 8 10
(ft) Diagram SPM SPM SPM SPM SPM SPM SPM SPM SPM
2.5// 265 395 504 427 474 606 399 554 712
% 65 60.6 66.3 56.3 63.9 69.4 58.6 55.9 73.2
2.25// 248 334 441 294 409 525 340 474 609
0 % 47.6 53.7 59.4 49.4 55.6 63.5 51.3 57.9 67.4
2// 206 290 372 306 241 437 262 390 500
% 40.9 46.4 54.1 43.1 49 57.6 45.7 52.2 60.2
1.75 168 233 298 196 271 346 225 309 393
% 35.8 41.1 47.6 38.4 44.4 50.3 41 47.6 52.9
2.5// 294 406 522 351 488 626 406 568 729
% 51.9 65.2 63 53.8 60 67 55.6 52.7 70.9
2.25// 254 353 453 300 418 537 347 483 620
500 % 45 51 57.5 47 63.1 61.6 49 55.4 66.2
2// 212 295 380 249 345 442 286 395 505
% 39 44.2 52.6 41.6 47.5 55.2 44.1 50.7 57.8
1.75 171 236 301 199 247 349 227 312 397
% 34.6 40 45.7 37.3 43.3 48.4 39.8 46.5 50
2.5// 313 434 558 370 515 662 427 595 765
% 45.7 51.8 58.3 47.7 53.9 62.4 49.7 56.2 66.2
2.25// 266 371 477 313 434 557 360 491 636
1500 % 40.1 45.5 53.7 42.6 48.5 55.7 45.2 51.8 59.3
2// 220 305 390 257 355 452 294 404 515
% 35.8 41.2 47.6 38.5 44.5 50.3 41.1 47.8 52.9
1.75 176 241 307 204 279 355 232 317 403
% 32.2 37.3 41.8 34.9 41 44.6 37.4 44.2 47.3
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30
35
40
45
50
55
60
65
0 1000 2000 3000 4000 5000 5950
Fluid level from surface, ft
Powerrequired,hp
Fig.1. Effect of fluid level from surface on required power.
10000
12000
14000
16000
18000
20000
22000
24000
26000
28000
30000
0 1000 2000 3000 4000 5000 5950
Fluid level from surface,ft
Peakpolishedrodloa
Fig. 2. Effect of fluid level from surface on surface maximum load.
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Net bpd at 100% eff.
600
650
700
750
800
850
0 1000 2000 3000 4000 5000 5950
Fluid level from surface, ft
netproduction
Fig. 3. Effect of fluid level from surface on o net production at 100 % efficiency.
0
200
400
600
800
1000
1200
0 1000 2000 3000 4000 5000 5950
Fluid level from surface, ft
peaktorque,in-Ib
Fig. 4. Effect of fluid level from surface on existing maximum torque.
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0
10
20
30
40
50
60
70
80
0 1000 2000 3000 4000 5000 5950Fluid level from surface, ft
RodLoading%
Fig. 5. Effect of fluid level from surface on rod loading.
20000
22000
24000
26000
28000
30000
2.75 2.5 2.25 2 1.75 1.5 1.25
Subsurface pump diameter, in
SurfaceMaxL
oad(lbs)
Fig. 6. Effect of subsurface pump diameter on surface maximum load.
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12 SPE 120681
0
20
40
60
80
100
120
140
2.75 2.5 2.25 2 1.75 1.5 1.25
Subsurface pump diameter, in
PowerReq
uired,
Fig. 7. Effect of subsurface pump diameter on power required.
600
700
800
900
1000
2.75 2.5 2.25 2 1.75 1.5 1.25
Subsurface pump diameter, in
ExistingM
axTorque(min-lbs)
Fig. 8. Effect of subsurface pump diameter on existing maximum torque.
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40
45
50
55
60
65
70
2.75 2.5 2.25 2 1.75 1.5 1.25
Subsurface pump diameter, in
RodLoading,
%
Fig. 9. Effect of subsurface pump diameter on rod loading.
0
2
4
6
8
10
12
14
16
2.75 2.5 2.25 2 1.75 1.5 1.25
Subsurface pump diameter, in
AveragePumpingSpeed(SPM)
Fig. 10. Effect of subsurface pump diameter on averaging pumping speed.