US3817094A - Well monitoring apparatus - Google Patents

Well monitoring apparatus Download PDF

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Publication number
US3817094A
US3817094A US00058439A US5843970A US3817094A US 3817094 A US3817094 A US 3817094A US 00058439 A US00058439 A US 00058439A US 5843970 A US5843970 A US 5843970A US 3817094 A US3817094 A US 3817094A
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US
United States
Prior art keywords
bar
transducer
walking beam
secured
rod string
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired - Lifetime
Application number
US00058439A
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English (en)
Inventor
R Montgomery
J Stoltz
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Mobil Oil AS
ExxonMobil Oil Corp
Original Assignee
Mobil Oil AS
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Mobil Oil AS filed Critical Mobil Oil AS
Priority to US00058439A priority Critical patent/US3817094A/en
Priority to CA105,604A priority patent/CA948438A/en
Priority to DE2136670A priority patent/DE2136670C3/de
Priority to AT647371A priority patent/AT317118B/de
Application granted granted Critical
Publication of US3817094A publication Critical patent/US3817094A/en
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

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Classifications

    • F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F04—POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS FOR LIQUIDS OR ELASTIC FLUIDS
    • F04B—POSITIVE-DISPLACEMENT MACHINES FOR LIQUIDS; PUMPS
    • F04B47/00—Pumps or pumping installations specially adapted for raising fluids from great depths, e.g. well pumps
    • F04B47/02—Pumps or pumping installations specially adapted for raising fluids from great depths, e.g. well pumps the driving mechanisms being situated at ground level
    • E—FIXED CONSTRUCTIONS
    • E21—EARTH OR ROCK DRILLING; MINING
    • E21B—EARTH OR ROCK DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
    • E21B47/00—Survey of boreholes or wells
    • E21B47/008—Monitoring of down-hole pump systems, e.g. for the detection of "pumped-off" conditions
    • E21B47/009—Monitoring of walking-beam pump systems

Definitions

  • ABSTRACT Method and apparatus for monitoring the operation of a well which is produced by a beam pumping unit.
  • a load transducer is secured to the surface support structure of the beam pumping unit such that it generates a signal representative of load changes in the support structure as the walking beam is reciprocated.
  • the transducer may take the form of an elongated bar which is secured to the support structure by longitudinally spaced rigid connections.
  • the transducer bar as disclosed is mounted on the top of the walking beam.
  • This invention relates to the production of wells by means of beam pumping units and more particularly to processes and systems for monitoring the operation of wells produced by beam pumping units.
  • Beam pumping units are widely used in the petroleum industry in order to recover fluids from wells extending into subterranean formations. Such units are employed to reciprocate a sucker rod string which extends into the well to actuate a downhole pump.
  • the sucker rod string is suspended at the surface of the well from a support structure which consists of a sampson post and a walking beam pivotallly mounted on the sampson post.
  • the sucker rod string is connected to one end of the walking beam.
  • the other end of the walking beam is connected to a prime mover through a suitable crank and pitman connection.
  • the walking beam and the sucker rod string are driven in a reciprocal mode by the prime mover.
  • the present invention provides a new and improved apparatus for monitoring the operation of a well produced by a downhole pump.
  • the pump is actuated by a sucker rod string suspended from a surface support unit consisting of a walking beam pivotally mounted on a sampson post for reciprocal movement as described above.
  • a load transducer is secured to the support unit on either the sampson post or the walking beam. This transducer functions to generate a signal representative of load changes in the support unit as the walking beam is reciprocated to operate the downhole pump. This signal then may be applied to a suitable utilization device such as a recorder or controller.
  • the transducer is secured to the top of the walking beam such that it responds to deformation in the beam resulting from tensile stresses induced by the sucker rod loading.
  • the trans ducer comprises an elongated bar which is secured to the beam by means of longitudinally spaced rigid connections and means responsive to deformation in the bar between such connections for generating the load signal.
  • FIG. 1 is an illustration of a well and a beam pumping unit employing attendant equipment in accordance with the present invention.
  • FIG. 2 is an illustration showing a transducer bar attached to a walking beam in accordance with a preferred embodiment of the invention.
  • FIG. 3 is an illustration of a preferred form of transducer bar and strain gauge arrangement.
  • FIG. 4 is an illustration showing an electrical schematic of a circuit employed in the transducer.
  • FIG. 1 there is illustrated the wellhead ll0 of a well which extends from the earths surface 12 into a subterranean oil producing formation (not shown).
  • the wellhead comprises the upper portions of a casing string M and tubing string 16.
  • the tub ing string extends from the wellhead to a suitable depth within the well, e.g., adjacent the subterranean formation. Liquid from the well is produced through the tubing string 16 by means of a downhole pump (not shown) to the surface where it passes into a flowline 17.
  • the downhole pump is actuated by reciprocal movement of a sucker rod string 18.
  • Rod string 18 is suspended in the well from a surface support unit 20 consisting of a sampson post 21 and a walking beam 22 which is pivotally mounted on the sampson post by a pin connection 23.
  • the sucker rod string includes a polished rod section 18a which extends through a stuffing box (not shown) at the top of the tubing string and a section 18b formed of a flexible cable.
  • the cable section 118! is connected to the walking beam 22 by means of a horsehead 24.
  • the walking beam is reciprocated by a prime mover 26 such as an electric motor.
  • the prime mover drives the walking beam through a drive system which includes a belt drive 27, crank 23, crank arm 29, and a pitman 30 which is pivotally connected between the crank arm and walking beam by means of pin connections 32 and 33.
  • the outer end of crank arm 29 is provided with a counterweight 33 which balances a portion of the load on the sucker rod string in order to provide for a fairly consistent load on the prime mover.
  • a system for monitoring the operation of a pumping unit by measuring load changes induced in the surface support unit as the sucker rod string is reciprocated. This is accomplished by locating on the support unit a load transducer which generates a signal representative of load changes induced in the support unit during operation of the pump.
  • the support unit loading may not be directly proportional to the sucker rod loading during pumping operation, the relationship between the two loads is predictable.
  • the beam loading is directly proportional to the sucker rod loading when the beam is horizontal and departs from such direct relationship by a predictable function as the beam moves from this mid position during an upstroke or downstroke.
  • the load transducer may be of any suitable type which generates a signal representative of the load changes in the walking beam as it is driven by prime mover 26.
  • the load transducer is mounted at the top of the walking beam 22, as shown, where only tension loading occurs.
  • the signal output from transducer ll) is applied via a communications channel 41. to a utilization device 42 which performs suitable recording and- /or control functions.
  • the utilization device may apply a readout to a strip chart recorder d4 via channel 45 and/or apply control functions via channel 46 to the prime mover, as discussed in greater detail hereinafter.
  • the transducer is located on the front section of beam 22 between the pivotal connection 23 and the connection of sucker rod string to the walking beam. At this location little if any extraneous loading is induced in beam 22 and the load changes in the beam result for all practical purposes only from changes in the sucker rod loading.
  • the system described above is especially well suited for real-time control of the pumping unit. Because of its location on the sampson post or walking beam, there is little liklihood of damage to the transducer from normal maintenance operations such as are involved in repair or adjustment of the sucker rod string. Thus, the transducer can be left in place permanently to provide a continuous signal output for real-time control of the pumping unit.
  • the utilization device 42 shovm in FIG. 11 can be provided with one or more constraint functions for comparison with the signal from the transducer.
  • Device 42 thus acts as a comparator which generates a utilization function such as actuating an alarm, shutting down the prime mover 26, or changing the speed of the prime mover, in response to the transducer signal matching the constraint function.
  • a utilization function such as actuating an alarm, shutting down the prime mover 26, or changing the speed of the prime mover, in response to the transducer signal matching the constraint function.
  • Exemplary of the conditions for which constraint functions may be established are well pumpoff, traveling valve obstruction in the downhole pump, and sucker rod breakage.
  • well pump-off resulting from producing a well at a rate greater than the rate at which fluid flows into the well from the formation, is characterized by a gradual increase in minimum signal amplitude.
  • device 42 may be programmed to generate a control function which reduces the speed of the prime mover when the transducer signal reaches the constraint function, that is, when the maximum signal amplitude undergoes a predetermined decrease in amplitude within a specified time interval.
  • a break in the sucker rod string 18 will be characterized by a pronounced reduction in load.
  • utilization device 42 may be programmed to actuate an alarm and/or shut down the prime mover 26 when the amplitude of the transducer signal reaches a specified low value. It will be recognized that the aforementioned control actions are exemplary only and that various other constraints may be established for comparison with the load signal from the transducer in order to generate appropriate control functions. Also, while FIG.
  • ll illustrates an arrangement for local control and analysis, such functions can of course be carried out remotely.
  • the signal from transducer 40 can be applied to a remote facility such as a digital computer which is programmed to perform appropriate control and/or recording actions. This is advantageous where the invention is employed in a large number of wells within a field.
  • FIG. 2 there is illustrated a preferred transducer system which includes an elongated bar rigidly secured to the support unit by longitudinally spaced connections and means for measuring the deformation in the bar between such connections. More particularly, and with reference to FIG. 2, there is illustrated an elongated bar 48 which is secured at its ends to the top flange 50 of a walking beam.
  • the rigid connections may be provided by any suitable technique such as by welding or bolting the ends of the bar to the walking beam.
  • a deformation responsive means 52 such as a bonded strain gauge transducer.
  • Means 52 measures the deformation in the bar 48 is induced by changes in the beam loading and applies an output signal through suitable circuitry (not shown) to an appropriate utilization device such as shown in FIG. ll.
  • the strain in the bar is representative of the average strain in the walking beam between the rigid connections. This greatly reduces the effect of small areas of abnormal strain such as may result from heterogeneities in the beam. It is preferred that the rigid connections be separated by a distance of at least 6 inches in order to avoid erroneous measurements clue to small areas of abnormal strain.
  • an intermediate portion of the bar between the rigid connections is offset from the contiguous portion of the walking beam surface.
  • spacer elements 53 and 54 may be interposed between the bar and the walking beam to provide an offset as indicated by reference numeral 56. This offset avoids frictional engagement between the bar and walking beam between the rigid connections and thus further ensures that the strain in bar is representative of the average strain in the beam between the rigid connections.
  • the transducer bar can be attached to the top flange of the I-beam which will always be stressed in tension while the unit is in operation.
  • the transducer bar can be connected either to the upper surface of the top flange as shown in FIG. 2 or to the underside thereof. In either case, the strain in the transducer bar will remain in tension during operation of the pumping unit, thus ensuring that the output signal from the transducer is unipolar.
  • FIG. 3 there is illustrated another embodiment of the transducer which provides for amplification of changes in strain induced during operation of the pump, thus lessening the electronic amplification required for an output signal of a given amplitude.
  • This unit which preferably is mounted on the walking beam as described above with reference to FIG. 2, comprises an elongated bar 56 which has a gauge section 58 of reduced cross section.
  • the bar 56 may exhibit dimensions of 1 inch X 1 inch X 24 inches with a 1 inch section of the bar turned down to a diameter of approximately one-half inch to provide the gauge section.
  • a hole 59 of a diameter of thirteensixtheenths inch is drilled along the center line of the bar to further reduce the cross-sectional area of the gauge section.
  • gauge section 58 Mounted on gauge section 58 is a suitable means for measuring deformation of the bar.
  • a suitable means for measuring deformation of the bar comprises a plurality of strain gauges connected to form the arms of a wheatstone bridge circuit and bonded to section 58 alternately in tension and poisson.
  • opposed strain gauges 61 and 62 are bonded to the gauge section 58 in tension to measure longitudinal strain in the bar and opposed strain gauges 63 and 6 are bonded to section 58 in poisson to measure lateral strain in the bar.
  • FIG. 4 illustrates the local electronics associated with the transducer bar.
  • This system includes an adjustable biasing means in the output circuit of the strain gauge bridge for imposing a bias on the output signal in order to balance the bridge at a given stress condition in the bar.
  • the transducer bar can be prestressed in tension when it is welded or otherwise secured to the walking beam and the potentiometer adjusted to null out the initial imbalance in the bridge. This is particularly desirable since it avoids nonrepeatability of the bridge signal associated with low strain in the transducer bar.
  • tension strain gauges 61 and 62 and poisson strain gauges 63 and 64 are connected in the opposed arms of a wheatstone bridge circuit 66 such that resistance changes induced by longitudinal and lateral strain in the bar are cumulative in unbalancing the bridge.
  • the circuitry associated with the wheastone bridge 66 functions to convert the output signal from the bridge to an appropriate current level.
  • Such circuitry includes a potentiometer 68 for imposing a bias as desired on the bridge signal.
  • the wiper arm of the potentiometer can be adjusted as desired in order to compensate for initial imbalance of the bridge.
  • the bridge output is then applied through series-connected operational amplifiers 70 and 72.
  • Amplifier 72 is provided with a rheostat 72a in its feedback circuit which may be used to adjust the gain of the amplifier.
  • the output from amplifier 72 is then applied through a Zener diode 73 to an emitter-follower circuit 74 which converts the amplifier output to a current signal for transmission to a utilization device.
  • Power for the bridge circuit and amplifiers is supplied from a dc. power source 75 through a voltage regulator circuit 76 which functions to stabilize the voltage supply.
  • the power supply may be 24 volts do with the amplifiers 70 and 72 exhibiting a combined gain of 1,000 to amplify the bridge signal to a level within the range of 1 to 5 volts.
  • the emitter-follower converts the amplifier output to a current signal within the range of 4 to 20, or optionally, within the range of 10 to 50 milliamps.
  • T In a system for monitoring a well produced by a downhole pump, the combination comprising:
  • a surface support unit including a sampson post and a walking beam pivotally mounted on said sampson post for reciprocal movement by a prime mover
  • transducer means secured to the top of said beam at a location between said pivotal mounting and the connection between said beam and said rod string for generating a signal representative of load changes in said beam as it is reciprocated.
  • a surface support unit including a sampson post and a walking beam pivotally mounted on said sampson post for reciprocal movement by a prime mover
  • transducer means secured to said beam for generating a signal representative of load changes in said beam as it is reciprocated, said transducer means comprising an elongated bar secured to a surface of said beam by longitudinally spaced rigid connections and means responsive to deformation in said bar between said connections for generating said signal.
  • a surface support unit including a sampson post and an I-shaped walking beam pivotally mounted on said sampson post for reciprocal movement by a prime mover
  • said deformation responsive means comprises a plurality of strain gauges connected to form the arms of a wheatstone bridge and bonded to said bar alternately in tension and poisson.

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  • Engineering & Computer Science (AREA)
  • Mining & Mineral Resources (AREA)
  • Physics & Mathematics (AREA)
  • Life Sciences & Earth Sciences (AREA)
  • Geology (AREA)
  • General Engineering & Computer Science (AREA)
  • Geophysics (AREA)
  • Environmental & Geological Engineering (AREA)
  • Fluid Mechanics (AREA)
  • Mechanical Engineering (AREA)
  • General Life Sciences & Earth Sciences (AREA)
  • Geochemistry & Mineralogy (AREA)
  • Investigation Of Foundation Soil And Reinforcement Of Foundation Soil By Compacting Or Drainage (AREA)
  • Structures Of Non-Positive Displacement Pumps (AREA)
US00058439A 1970-07-27 1970-07-27 Well monitoring apparatus Expired - Lifetime US3817094A (en)

Priority Applications (4)

Application Number Priority Date Filing Date Title
US00058439A US3817094A (en) 1970-07-27 1970-07-27 Well monitoring apparatus
CA105,604A CA948438A (en) 1970-07-27 1971-02-17 Well monitoring process and apparatus
DE2136670A DE2136670C3 (de) 1970-07-27 1971-07-22 Pumpvorrichtung für Bohrlöcher
AT647371A AT317118B (de) 1970-07-27 1971-07-26 Vorrichtung zur Förderung von Öl aus einem Bohrloch und Verfahren zur Überwachung desselben

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US00058439A US3817094A (en) 1970-07-27 1970-07-27 Well monitoring apparatus

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US00058439A Expired - Lifetime US3817094A (en) 1970-07-27 1970-07-27 Well monitoring apparatus

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US (1) US3817094A (de)
AT (1) AT317118B (de)
CA (1) CA948438A (de)
DE (1) DE2136670C3 (de)

Cited By (24)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3951209A (en) * 1975-06-09 1976-04-20 Shell Oil Company Method for determining the pump-off of a well
US4034808A (en) * 1976-09-20 1977-07-12 Shell Oil Company Method for pump-off detection
US4058757A (en) * 1976-04-19 1977-11-15 End Devices, Inc. Well pump-off controller
US4302157A (en) * 1979-02-05 1981-11-24 End Devices, Inc. High fluid level pump off controller and process
US4318674A (en) * 1975-03-28 1982-03-09 Mobil Oil Corporation Automatic liquid level controller
US4389164A (en) * 1977-08-08 1983-06-21 Mobil Oil Corporation Automatic liquid level controller
US4487061A (en) * 1982-12-17 1984-12-11 Fmc Corporation Method and apparatus for detecting well pump-off
US4541274A (en) * 1984-05-10 1985-09-17 Board Of Regents For The University Of Oklahoma Apparatus and method for monitoring and controlling a pump system for a well
US4553872A (en) * 1984-02-15 1985-11-19 Fmc Corporation Load cell clamping apparatus
US4561299A (en) * 1984-02-13 1985-12-31 Fmc Corporation Apparatus for detecting changes in inclination or acceleration
US4873635A (en) * 1986-11-20 1989-10-10 Mills Manual D Pump-off control
WO1993002289A1 (en) * 1991-07-22 1993-02-04 Westerman G Wayne Pump control using calculated downhole dynagraph information
US5435385A (en) * 1993-10-29 1995-07-25 Double-E, Inc. Integrated wellhead tubing string
CN1080834C (zh) * 1999-04-23 2002-03-13 翟灵光 异形轮双速节能抽油机
CN1083942C (zh) * 1999-12-10 2002-05-01 华北石油管理局第一机械厂 曲游梁抽油机
CN102635336A (zh) * 2012-04-10 2012-08-15 西安长油油气装备工程有限责任公司 一种采用混凝土预制承重构架的抽油机
CN102979484A (zh) * 2011-09-06 2013-03-20 东营市大势石油装备生产力促进中心有限公司 倾角游梁平衡重抽油机
CN103883289A (zh) * 2014-04-19 2014-06-25 长江大学 一种新型游梁抽油机动平衡智能调节装置
CN103924959A (zh) * 2013-01-10 2014-07-16 中国石油天然气股份有限公司 测量油井产液中含水量的方法
CN104727806A (zh) * 2013-12-24 2015-06-24 中国石油天然气股份有限公司 一种载荷传感器监控方法和系统
CN104847311A (zh) * 2015-05-27 2015-08-19 山西晋煤集团技术研究院有限责任公司 煤层气开采流压自适应装置
US20150345280A1 (en) * 2012-12-20 2015-12-03 Schneider Electric USA, Inc. Polished rod-mounted pump control apparatus
CN105484730A (zh) * 2015-12-28 2016-04-13 江西飞尚科技有限公司 一种基于抽油杆示功图的上下死点精确提取方法
US9416652B2 (en) 2013-08-08 2016-08-16 Vetco Gray Inc. Sensing magnetized portions of a wellhead system to monitor fatigue loading

Families Citing this family (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104912521A (zh) * 2015-04-15 2015-09-16 吕传庆 便于整体密封的新型抽油机
CN105156073A (zh) * 2015-06-19 2015-12-16 常盛杰 一种简易的抽油机机构

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US2691300A (en) * 1951-12-17 1954-10-12 Phillips Petroleum Co Torque computer
US2920298A (en) * 1956-02-16 1960-01-05 Baldwin Lima Hamilton Corp Resistance strain gage
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US3199685A (en) * 1964-03-02 1965-08-10 Greater Iowa Corp Overload safety device for material handling mechanism
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US2163665A (en) * 1936-07-15 1939-06-27 Pure Oil Co Well drilling indicator
US2691300A (en) * 1951-12-17 1954-10-12 Phillips Petroleum Co Torque computer
US2920298A (en) * 1956-02-16 1960-01-05 Baldwin Lima Hamilton Corp Resistance strain gage
US3102420A (en) * 1960-08-05 1963-09-03 Bell Telephone Labor Inc High strain non-linearity compensation of semiconductive sensing members
US3199685A (en) * 1964-03-02 1965-08-10 Greater Iowa Corp Overload safety device for material handling mechanism
US3359791A (en) * 1964-10-19 1967-12-26 Well Sentry Inc System responsive to well pumping loads
US3343409A (en) * 1966-10-21 1967-09-26 Shell Oil Co Method of determining sucker rod pump performance

Cited By (26)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4318674A (en) * 1975-03-28 1982-03-09 Mobil Oil Corporation Automatic liquid level controller
US3951209A (en) * 1975-06-09 1976-04-20 Shell Oil Company Method for determining the pump-off of a well
US4058757A (en) * 1976-04-19 1977-11-15 End Devices, Inc. Well pump-off controller
US4034808A (en) * 1976-09-20 1977-07-12 Shell Oil Company Method for pump-off detection
US4389164A (en) * 1977-08-08 1983-06-21 Mobil Oil Corporation Automatic liquid level controller
US4302157A (en) * 1979-02-05 1981-11-24 End Devices, Inc. High fluid level pump off controller and process
US4487061A (en) * 1982-12-17 1984-12-11 Fmc Corporation Method and apparatus for detecting well pump-off
US4561299A (en) * 1984-02-13 1985-12-31 Fmc Corporation Apparatus for detecting changes in inclination or acceleration
US4553872A (en) * 1984-02-15 1985-11-19 Fmc Corporation Load cell clamping apparatus
US4541274A (en) * 1984-05-10 1985-09-17 Board Of Regents For The University Of Oklahoma Apparatus and method for monitoring and controlling a pump system for a well
US4873635A (en) * 1986-11-20 1989-10-10 Mills Manual D Pump-off control
WO1993002289A1 (en) * 1991-07-22 1993-02-04 Westerman G Wayne Pump control using calculated downhole dynagraph information
US5435385A (en) * 1993-10-29 1995-07-25 Double-E, Inc. Integrated wellhead tubing string
CN1080834C (zh) * 1999-04-23 2002-03-13 翟灵光 异形轮双速节能抽油机
CN1083942C (zh) * 1999-12-10 2002-05-01 华北石油管理局第一机械厂 曲游梁抽油机
CN102979484A (zh) * 2011-09-06 2013-03-20 东营市大势石油装备生产力促进中心有限公司 倾角游梁平衡重抽油机
CN102635336A (zh) * 2012-04-10 2012-08-15 西安长油油气装备工程有限责任公司 一种采用混凝土预制承重构架的抽油机
US20150345280A1 (en) * 2012-12-20 2015-12-03 Schneider Electric USA, Inc. Polished rod-mounted pump control apparatus
CN103924959A (zh) * 2013-01-10 2014-07-16 中国石油天然气股份有限公司 测量油井产液中含水量的方法
US9416652B2 (en) 2013-08-08 2016-08-16 Vetco Gray Inc. Sensing magnetized portions of a wellhead system to monitor fatigue loading
CN104727806A (zh) * 2013-12-24 2015-06-24 中国石油天然气股份有限公司 一种载荷传感器监控方法和系统
CN104727806B (zh) * 2013-12-24 2017-10-17 中国石油天然气股份有限公司 一种载荷传感器监控方法和系统
CN103883289A (zh) * 2014-04-19 2014-06-25 长江大学 一种新型游梁抽油机动平衡智能调节装置
CN104847311A (zh) * 2015-05-27 2015-08-19 山西晋煤集团技术研究院有限责任公司 煤层气开采流压自适应装置
CN104847311B (zh) * 2015-05-27 2018-04-03 山西晋煤集团技术研究院有限责任公司 煤层气开采流压自适应装置
CN105484730A (zh) * 2015-12-28 2016-04-13 江西飞尚科技有限公司 一种基于抽油杆示功图的上下死点精确提取方法

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Publication number Publication date
DE2136670C3 (de) 1981-12-03
CA948438A (en) 1974-06-04
DE2136670B2 (de) 1981-04-09
AT317118B (de) 1974-08-12
DE2136670A1 (de) 1972-02-17

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