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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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    2 SPE 120681

    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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    SPE 120681 3

    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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    4 SPE 120681

    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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    SPE 120681 5

    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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    6 SPE 120681

    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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    SPE 120681 7

    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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    SPE 120681 9

    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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    10 SPE 120681

    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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    SPE 120681 11

    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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    SPE 120681 13

    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.