CN1512033A - Realizing method for steel cable rod oil pumping system - Google Patents

Realizing method for steel cable rod oil pumping system Download PDF

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CN1512033A
CN1512033A CNA021594902A CN02159490A CN1512033A CN 1512033 A CN1512033 A CN 1512033A CN A021594902 A CNA021594902 A CN A021594902A CN 02159490 A CN02159490 A CN 02159490A CN 1512033 A CN1512033 A CN 1512033A
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msub
mrow
rod
wire rope
steel wire
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檀朝东
张嗣伟
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China University of Petroleum Beijing
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China University of Petroleum Beijing
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Abstract

The realizing method for steel cable rod oil pumping system includes at least calculating data of the liquid supplying capacity of oil well and the dynamic exhaust of pump based on the acquired basic production data; obtaining the supply-exhaust cooperating point based on the calculated data; calculating the well situation index; optimizing system scheme and determining the parameters of the parts in the steel cable rod oil pumping system. The present invention establishes the steel cable rod oil pumping system by means of system engineering process from liquid supplying oil layer to well head via well shaft flow, machine, rod and pump and based on the structure characteristic and surface characteristic of steel cable rod, designs cooperative supply and exhaust, selects reasonable machine and pump work parameters and mixed rod-column combination, analyses the rod-column stress situation and makes the whole well system operate effectively and safely.

Description

Method for realizing steel wire rope rod oil pumping system
Technical Field
The invention relates to a method for realizing a steel wire rope rod oil pumping system, in particular to a method for realizing a steel wire rope rod oil pumping system for acquiring optimal system parameters by processing acquired yield data and working condition indexes of an oil pumping system, and belongs to the technical field of oil acquisition.
Background
Compared with the conventional steel sucker rod, the steel wire rope sucker rod has a series of advantages: because there is no coupling, not only can greatly reduce the accident of pumping rod, but also its resistance is small, can eliminate piston effect and can greatly reduce the phenomenon of wax deposition on the rod string. Therefore, the lifting operation can be continuously carried out, the operation process is simplified, the operation time is saved, the weight of the unit length is light, and the maximum load of the suspension point can be reduced by 20 to 30 percent; and can meet the deep drawing requirement. Because the string is flexible, friction and wear between the string and the tubing wall can be greatly reduced. And can reduce the energy consumption of the oil pumping system. Because the elasticity of the steel wire rope is better, the steel wire rope is beneficial to generating over-stroke, under the same condition, the effective stroke can be improved by 3.5 percent, and the pump efficiency can be greatly improved.
At present, the application of a steel wire rod pumping system is very little, the existing dynamic model adopting the conventional steel pumping rod system is established on the basis of the fluctuation equation of Gibbs, the rod body vibration damping coefficient of the conventional steel pumping rod is completely applied, the structural characteristics of the steel wire rod are not fully considered, and the steel wire rod is not taken into consideration in the whole system of an oil well, a shaft, a machine-rod-pump and a wellhead. Therefore, it is difficult to make a correct and comprehensive analysis on the operation of the wire rod pumping system, and it is also difficult to make an accurate explanation on the reasons for the improvement of the actual yield and the pump efficiency of the wire rod pumping system. Therefore, the application of the wire rope rod oil pumping system is inevitably influenced.
Disclosure of Invention
The invention mainly aims to provide a method for realizing a steel wire rod oil pumping system, which is established by adopting a system engineering method from the whole system of oil layer liquid supply, shaft flowing, a machine-rod-pump and a wellhead according to the structural characteristics and the surface characteristics of the steel wire rod.
The invention also aims to provide a method for realizing the steel wire rod oil pumping system, which can design the coordination of supply and discharge of an oil well, select reasonable pump working parameters to be combined with the mixed rod column group, analyze the stress condition of the rod column and enable the whole underground system to work more efficiently and safely.
The purpose of the invention is realized as follows:
an implementation method of a steel wire rope rod oil pumping system at least comprises the following steps:
step 1: calculating the liquid supply capacity of the oil well and the dynamic data of pump discharge according to the collected basic production data;
step 2: acquiring a supply and discharge coordination point according to an oil well liquid supply capacity curve and a pump discharge dynamic curve; wherein, the intersection point of the two curves is a supply and discharge coordination point;
and step 3: calculating well condition indexes and characteristic parameters of the steel wire rope rod;
and 4, step 4: and optimizing the system scheme, and determining the parameters of each part in the steel wire rope rod oil pumping system.
The calculation of the liquid supply capacity of the oil well is specifically as follows: within the range allowed by the IPR curve, namely: q is more than 0t<qtmaxSelecting a group of liquid production values, and calculating corresponding bottom hole flowing pressure according to the IPR curve; or selecting a group of bottom hole flowing pressure values, and calculating corresponding liquid supply values according to the IPR curve;
qtmaxm is the maximum fluid production3/d;
qtM is the amount of liquid produced3/d。
The liquid supply capacity of the oil well is calculated by the following formula:
flow pressure is calculated according to the liquid production amount:
when 0 < qt≤qbWhen the temperature of the water is higher than the set temperature, P wf = P r - q t J
when q isb<qt≤qomaxWhen is, Pwf=FoPwf oil+FwPwf water
Figure A0215949000082
Figure A0215949000091
When q isomax<qt<qtmaxWhen the temperature of the water is higher than the set temperature, P wf = F w ( P r - q o max J ) - ( q t - q o max J ) CD CG
CD = F w 0.001 q o max J + 0.125 F o P b [ - 1 + 81 - 80 0.999 q o max - q b q o max - q b ]
CG=0.001qomax
calculating the liquid production amount by the flow pressure:
when P is presentb<Pwf≤PrWhen q is greater than qt=J(Pr-Pwf)
When P is presentwfG<Pwf≤PbWhen B is not equal to 0, q t = - C + C 2 - 4 B 2 D 2 B 2
when B is 0, qt=D/C
P wfG = F w ( P r - q o max J )
A = P wf + 0.125 F 0 P b - F w P r 0.125 F 0 P b
B = F w 0.125 F 0 P b J
C = 2 AB + 80 q o max - q b
D = A 2 - 80 q b q o max - q b + 81
When 0 < Pwf<PwfGWhen the temperature of the water is higher than the set temperature, <math> <mrow> <msub> <mi>q</mi> <mi>t</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>P</mi> <mi>wfG</mi> </msub> <mo>+</mo> <msub> <mi>q</mi> <mrow> <mi>o</mi> <mi>max</mi> </mrow> </msub> <mi>tan</mi> <mrow> <mo>(</mo> <mi>&beta;</mi> <mo>)</mo> </mrow> <mo>-</mo> <msub> <mi>P</mi> <mi>wf</mi> </msub> </mrow> <mrow> <mi>tan</mi> <mrow> <mo>(</mo> <mi>&beta;</mi> <mo>)</mo> </mrow> </mrow> </mfrac> </mrow> </math>
<math> <mrow> <mi>tan</mi> <mrow> <mo>(</mo> <mi>&beta;</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mi>CD</mi> <mi>CG</mi> </mfrac> </mrow> </math>
CD = F w 0.001 q o max J + 0.125 F o P b [ - 1 + 81 - 80 0.999 q o max - q b q o max - q b ]
CG=0.001qomax
wherein: q. q.somaxM is the maximum oil production3/d;
qtmaxM is the maximum fluid production3/d;
qoFor oil production, m3/d;
qtM is the amount of liquid produced3/d;
qbM is the oil production at bubble point pressure3/d;
prIs the formation pressure, MPa;
pwfis bottom hole flowing pressure, MPa;
pbbubble point pressure, MPa;
Fwwater content,%; fo=1-Fw
J is the fluid production index, m3/d·MPa。
The characteristic parameters of the steel wire rope rod are calculated by the following formula:
damping coefficient of the wire rope rod:
(1) structural damping
The equivalent damping of the vibrations produced by the structural damping is: <math> <mrow> <msub> <mi>C</mi> <mi>r</mi> </msub> <mo>=</mo> <mfrac> <mi>&alpha;</mi> <mi>&pi;&omega;</mi> </mfrac> </mrow> </math>
omega is the vibration frequency rad/s; alpha is a constant, independent of the omega frequency, <math> <mfrac> <mn>1</mn> <mrow> <mi>m</mi> <mo>&CenterDot;</mo> <msup> <mi>s</mi> <mn>2</mn> </msup> </mrow> </mfrac> </math>
determined by experiments;
(2) fluid viscous damping
The fluid viscous damping of the wire rope rod is:
<math> <mrow> <msub> <mi>c</mi> <mi>l</mi> </msub> <mo>=</mo> <mi>&psi;</mi> <mfrac> <mrow> <mn>2</mn> <mi>&pi;&eta;</mi> </mrow> <mrow> <msub> <mi>&rho;</mi> <mi>r</mi> </msub> <msub> <mi>A</mi> <mi>r</mi> </msub> </mrow> </mfrac> <mi>f</mi> <mrow> <mo>(</mo> <mi>m</mi> <mo>)</mo> </mrow> </mrow> </math>
in the formula: eta is the hydrodynamic viscosity coefficient Pa · s;
f (m) is a damping factor, a parameter related to the diameter ratio of the pipe rod and is dimensionless; m = d t d r , wherein:
drthe diameter of the steel wire rope sucker rod; dtThe inner diameter of the oil pipe; psi is a dimensionless correction factor for the surface properties of the steel cord rod, determined experimentally.
The combined length of the steel wire rope mixed rod column is as follows:
for a multi-stage steel wire rope sucker rod string, the stress range of the top end of each stage of steel wire rope rod meets the following conditions:
<math> <mrow> <mfrac> <mrow> <msub> <mi>&sigma;</mi> <mrow> <mi>max</mi> <mo>.</mo> <mi>i</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>&sigma;</mi> <mrow> <mi>min</mi> <mo>.</mo> <mi>i</mi> </mrow> </msub> </mrow> <mrow> <msub> <mrow> <mo>[</mo> <msub> <mi>&sigma;</mi> <mi>max</mi> </msub> <mo>]</mo> </mrow> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>&sigma;</mi> <mrow> <mi>min</mi> <mo>.</mo> <mi>i</mi> </mrow> </msub> </mrow> </mfrac> <mo>&le;</mo> <mn>1</mn> </mrow> </math>
wherein: [ sigma ]max]i=SF(0.25Tr+0.5625σmin.i)
In the formula: sFThe coefficient of use of the steel wire rope sucker rod is obtained;
Trthe maximum tensile strength of the steel wire rope sucker rod is N/mm2
I is the number of stages of the sucker rod from top to bottom;
σmax.i、σmin.ithe maximum and minimum stress at the top end of the I-stage sucker rod is N/mm2
In order to ensure that the steel wire rope sucker rod is always in a stretching state when in lower stroke and the structural extension of the lower end can be eliminated, the added weight of the weighting rod is required to offset the buoyancy W borne by the steel wire rope and the weighting rodr0Semi-dry friction force W between the bushing and the plungerdAnd a hydraulic resistance W generated when the mixed liquid flows through the traveling valvewThe inertia force W of the weight lever itselfvFriction force with liquid WriAnd can eliminate partial structural elongation W of the steel wire ropej(ii) a Therefore, the weight bar to be added at the lower end of the pole column at least meets the following requirements:
Ws≥Wd+Wv+Ws+Ww+Wri+Wj+Wr0
the pump discharge dynamics data is calculated by the following formula:
Q=0.001131ηSnDp 2
wherein,
q is the displacement of the pump and Q is the displacement of the pump,
eta is the pump efficiency and is the pump efficiency,
s is the stroke of the oil pumping machine,
n is the stroke frequency of the oil pumping unit,
Dpthe pump diameter.
The well condition indicators include at least: beam-pumping unit suspension load, beam-pumping unit torque, effective stroke, pump efficiency, hydraulic power, polished rod power and downhole system efficiency; wherein, each index is calculated as follows:
calculating the suspension point load of the oil pumping unit: F max = ( F r + F L ) ( 1 + s n 2 1790 ) + F w
F min = F r ( 1 - d L d r - s n 2 1790 ) + F w
and (3) calculating the torque of the pumping unit: mmax=1800s+0.202s(Pmax-Pmin)
Calculation of effective stroke: sp=S+λInertial force measuring deviceRod
Pump efficiency: etap=ηQi (Qi)ηBecomeηLeakage net
ηQi (Qi)=ηGas 1ηGas 2
Figure A0215949000123
Figure A0215949000124
ηLeakage net=ηDrain 1ηDrain 2
Hydraulic power: <math> <mrow> <msub> <mi>HP</mi> <mi>H</mi> </msub> <mo>=</mo> <mfrac> <mrow> <mi>Q</mi> <msub> <mi>L</mi> <mi>g</mi> </msub> </mrow> <mn>86400</mn> </mfrac> <mo>=</mo> <mfrac> <mrow> <msub> <mi>Q</mi> <mi>t</mi> </msub> <msub> <mi>&rho;</mi> <mi>l</mi> </msub> <msub> <mi>L</mi> <mi>g</mi> </msub> </mrow> <mn>86400</mn> </mfrac> <mi>&eta;</mi> </mrow> </math>
polished rod power: <math> <mrow> <msub> <mi>HP</mi> <mi>PR</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msubsup> <mi>W</mi> <mn>1</mn> <mo>&prime;</mo> </msubsup> <mi>sn</mi> </mrow> <mrow> <mn>60</mn> <mo>&times;</mo> <mn>100</mn> </mrow> </mfrac> </mrow> </math>
downhole system efficiency: EFF down = HP H HP PR
the system scheme optimization is as follows: and (3) calculating:
<math> <mrow> <mi>B</mi> <mo>=</mo> <mi>A</mi> <mo>&CenterDot;</mo> <mi>R</mi> <mo>=</mo> <mrow> <mo>(</mo> <msub> <mi>a</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>a</mi> <mn>2</mn> </msub> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>,</mo> <msub> <mi>a</mi> <mi>n</mi> </msub> <mo>)</mo> </mrow> <mfenced open='[' close=']'> <mtable> <mtr> <mtd> <msub> <mi>r</mi> <mn>11</mn> </msub> <mo>,</mo> <msub> <mi>r</mi> <mn>12</mn> </msub> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <msub> <mi>r</mi> <mrow> <mn>1</mn> <mi>n</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>r</mi> <mn>21</mn> </msub> <mo>,</mo> <msub> <mi>r</mi> <mn>22</mn> </msub> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <msub> <mi>r</mi> <mrow> <mn>2</mn> <mi>n</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <msub> <mi>r</mi> <mrow> <mi>m</mi> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>r</mi> <mrow> <mi>m</mi> <mn>2</mn> </mrow> </msub> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <msub> <mi>r</mi> <mi>mn</mi> </msub> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mrow> <mo>(</mo> <msub> <mi>b</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>b</mi> <mn>2</mn> </msub> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <msub> <mi>b</mi> <mi>n</mi> </msub> <mo>)</mo> </mrow> </mrow> </math>
and determining the decision coefficient of each part in the steel wire rod oil pumping system by taking the best scheme with the maximum bi as the best scheme.
According to the structural characteristics and the surface characteristics of the steel wire rope rod, a system engineering method is adopted to establish a steel wire rope rod oil pumping system from oil layer liquid supply, shaft flowing, a machine-rod-pump and a whole system to a wellhead; and the coordination of supply and discharge of the oil well can be designed, reasonable pump working parameters are selected to be combined with the mixed rod column group, and the stress condition of the rod column is analyzed, so that the whole underground system can work more efficiently and safely.
Drawings
FIG. 1 is a schematic diagram of an IPR curve according to the present invention;
FIG. 2 is a schematic illustration of the effect of pump depth on system index according to the present invention;
FIG. 3 is a schematic illustration of the effect of stroke on system index according to the present invention;
FIG. 4 is a schematic diagram illustrating the effect of the number of strokes on system metrics in accordance with the present invention;
FIG. 5 is a schematic illustration of the effect of pump diameter on system performance;
FIG. 6 is a schematic flow chart of the present invention.
Detailed Description
The invention is described in further detail below with reference to the following figures and specific examples:
the invention compiles the optimization design software of the wire rope mixed sucker rod string oil pumping system, and designs and analyzes the result of the wire rope rod oil pumping system under the condition of a given oil well.
Project computation
Referring to fig. 1 and 6, firstly, data preparation is carried out, and the liquid supply capacity of the oil well is calculated according to basic data of the oil well (see table 1), and referring to table 1, a scheme group is formed by combining different rod column collocation forms, pump depths, pump diameters, strokes and stroke times (see table 2).
And performing multi-scheme design calculation based on the well IPR curve. Judging whether each scheme is coordinated in supply and discharge, automatically calculating the optimal rod column combination of each scheme, predicting system indexes of different schemes, and selecting the schemes by respectively taking daily liquid production, stroke efficiency, pump efficiency and underground efficiency as targets, so that the reasonable design of the steel wire rope rod oil pumping system of one oil well can be obtained.
The specific calculation includes:
calculating the liquid supply capacity of the oil well: within the range allowed by the IPR curve, namely: q is more than 0t<qtmaxSelecting a group of liquid production values, and calculating corresponding bottom hole flowing pressure according to the IPR curve; or selecting a group of bottom hole flowing pressure values, and calculating corresponding liquid supply values according to the IPR curve;
qtmaxm is the maximum fluid production3/d;
qtM is the amount of liquid produced3/d。
The liquid supply capacity of the oil well is calculated by the following formula:
flow pressure is calculated according to the liquid production amount:
when 0 < qt≤qbWhen the temperature of the water is higher than the set temperature, P wf = P r - q t J
when q isb<qt≤qomaxWhen is, Pwf=FoPwf oil+FwPwf water
Figure A0215949000142
Figure A0215949000143
When q isomax<qt<qtmaxWhen the temperature of the water is higher than the set temperature, P wf = F w ( P r - q o max J ) - ( q t - q o max J ) CD CG
CD = F w 0.001 q o max J + 0.125 F o P b [ - 1 + 81 - 80 0.999 q o max - q b q o max - q b ]
CG=0.001qomax
calculating the liquid production amount by the flow pressure:
when P is presentb<Pwf≤PrWhen q is greater than qt=J(Pr-Pwf)
When P is presentwfG<Pwf≤PbWhen and whenB≠0, q t = - C + C 2 - 4 B 2 D 2 B 2
When B is 0, qt=D/C
P wfG = F w ( P r - q o max J )
A = P wf + 0.125 F 0 P b - F w P r 0.125 F 0 P b
B = F w 0.125 F 0 P b J
C = 2 AB + 80 q o max - q b
D = A 2 - 80 q b q o max - q b + 81
When 0 < Pwf<PwfGWhen the temperature of the water is higher than the set temperature, <math> <mrow> <msub> <mi>q</mi> <mi>t</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>P</mi> <mi>wfG</mi> </msub> <mo>+</mo> <msub> <mi>q</mi> <mrow> <mi>o</mi> <mi>max</mi> </mrow> </msub> <mi>tan</mi> <mrow> <mo>(</mo> <mi>&beta;</mi> <mo>)</mo> </mrow> <mo>-</mo> <msub> <mi>P</mi> <mi>wf</mi> </msub> </mrow> <mrow> <mi>tan</mi> <mrow> <mo>(</mo> <mi>&beta;</mi> <mo>)</mo> </mrow> </mrow> </mfrac> </mrow> </math>
<math> <mrow> <mi>tan</mi> <mrow> <mo>(</mo> <mi>&beta;</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mi>CD</mi> <mi>CG</mi> </mfrac> </mrow> </math>
CD = F w 0.001 q o max J + 0.125 F o P b [ - 1 + 81 - 80 0.999 q o max - q b q o max - q b ]
CG=0.001qomax
wherein: q. q.somaxM is the maximum oil production3/d;
qtmaxM is the maximum fluid production3/d;
qoFor oil production, m3/d;
qtM is the amount of liquid produced3/d;
qbM is the oil production at bubble point pressure3/d;
prIs the formation pressure, MPa;
pwfis bottom hole flowing pressure, MPa;
pbbubble point pressure, MPa;
Fwwater content,%; fo=1-Fw
J is the fluid production index, m3/d·MPa。
The characteristic parameters of the steel wire rope rod are calculated by the following formula:
damping coefficient of the wire rope rod:
(1) structural damping
The equivalent damping of the vibrations produced by the structural damping is: <math> <mrow> <msub> <mi>C</mi> <mi>r</mi> </msub> <mo>=</mo> <mfrac> <mi>&alpha;</mi> <mi>&pi;&omega;</mi> </mfrac> </mrow> </math>
omega is the vibration frequency rad/s; alpha is a constant, independent of the omega frequency, <math> <mfrac> <mn>1</mn> <mrow> <mi>m</mi> <mo>&CenterDot;</mo> <msup> <mi>s</mi> <mn>2</mn> </msup> </mrow> </mfrac> </math> determined by experiments;
(2) fluid viscous damping
The fluid viscous damping of the wire rope rod is:
<math> <mrow> <msub> <mi>C</mi> <mi>l</mi> </msub> <mo>=</mo> <mi>&psi;</mi> <mfrac> <mrow> <mn>2</mn> <mi>&pi;&eta;</mi> </mrow> <mrow> <msub> <mi>&rho;</mi> <mi>r</mi> </msub> <msub> <mi>A</mi> <mi>r</mi> </msub> </mrow> </mfrac> <mi>f</mi> <mrow> <mo>(</mo> <mi>m</mi> <mo>)</mo> </mrow> </mrow> </math>
in the formula: eta is the hydrodynamic viscosity coefficient Pa.s;
f (m) is a damping factor, a parameter related to the diameter ratio of the pipe rod and is dimensionless; m = d t d r , wherein:
drthe diameter of the steel wire rope sucker rod; dtThe inner diameter of the oil pipe; psi is a dimensionless correction factor for the surface properties of the steel cord rod, determined experimentally.
The combined length of the steel wire rope mixed rod column is as follows:
for a multi-stage steel wire rope sucker rod string, the stress range of the top end of each stage of steel wire rope rod meets the following conditions:
<math> <mrow> <mfrac> <mrow> <msub> <mi>&sigma;</mi> <mrow> <mi>max</mi> <mo>.</mo> <mi>i</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>&sigma;</mi> <mrow> <mi>min</mi> <mo>.</mo> <mi>i</mi> </mrow> </msub> </mrow> <mrow> <msub> <mrow> <mo>[</mo> <msub> <mi>&sigma;</mi> <mi>max</mi> </msub> <mo>]</mo> </mrow> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>&sigma;</mi> <mrow> <mi>min</mi> <mo>,</mo> <mi>i</mi> </mrow> </msub> </mrow> </mfrac> <mo>&le;</mo> <mn>1</mn> </mrow> </math>
wherein: [ sigma ]max]i=SF(0.25Tr+0.5625σmin.i)
In the formula: sFThe coefficient of use of the steel wire rope sucker rod is obtained;
Trthe maximum tensile strength of the steel wire rope sucker rod is N/mm2
I is the number of stages of the sucker rod from top to bottom;
σmax.i、σmin.ithe maximum and minimum stress at the top end of the I-stage sucker rod is N/mm2
In order to ensure that the steel wire rope sucker rod is always in a stretching state when in lower stroke and the structural extension of the lower end can be eliminated, the added weight of the weighting rod is required to offset the buoyancy W borne by the steel wire rope and the weighting rodr0Semi-dry friction force W between the bushing and the plungerdAnd a hydraulic resistance W generated when the mixed liquid flows through the traveling valvewThe inertia force W of the weight lever itselfvFriction force with liquid WriAnd can eliminate partial structural elongation W of the steel wire ropej(ii) a Therefore, the weight bar to be added at the lower end of the pole column at least meets the following requirements:
Ws≥Wd+Wv+Ws+Ww+Wri+Wj+Wr0
pump discharge dynamics data is calculated by the following formula:
Q=0.001131ηSnDp 2
wherein,
q is the displacement of the pump and Q is the displacement of the pump,
eta is the pump efficiency and is the pump efficiency,
s is the stroke of the oil pumping machine,
n is the stroke frequency of the oil pumping unit,
Dpthe pump diameter.
The well condition indicators are: beam-pumping unit suspension load, beam-pumping unit torque, effective stroke, pump efficiency, hydraulic power, polished rod power and downhole system efficiency; wherein, each index is calculated as follows:
calculating the suspension point load of the oil pumping unit: F max = ( F r + F L ) ( 1 + s n 2 1790 ) + F w
F min = F r ( 1 - d L d r - s n 2 1790 ) + F w
and (3) calculating the torque of the pumping unit: mmax=1800s+0.202s(Pmax-Pmin)
Calculation of effective stroke: sp=S+λInertial force measuring deviceRod
Pump efficiency: etap=ηQi (Qi)ηBecomeηLeakage net
ηQi (Qi)=ηGas 1ηGas 2
ηLeakage net=ηDrain 1ηDrain 2
Hydraulic power: <math> <mrow> <msub> <mi>HP</mi> <mi>H</mi> </msub> <mo>=</mo> <mfrac> <mrow> <mi>Q</mi> <msub> <mi>L</mi> <mi>g</mi> </msub> </mrow> <mn>86400</mn> </mfrac> <mo>=</mo> <mfrac> <mrow> <msub> <mi>Q</mi> <mi>t</mi> </msub> <msub> <mi>&rho;</mi> <mi>l</mi> </msub> <msub> <mi>L</mi> <mi>g</mi> </msub> </mrow> <mn>86400</mn> </mfrac> <mi>&eta;</mi> </mrow> </math>
polished rod power: <math> <mrow> <msub> <mi>HP</mi> <mi>PR</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msubsup> <mi>W</mi> <mn>1</mn> <mo>&prime;</mo> </msubsup> <mi>sn</mi> </mrow> <mrow> <mn>60</mn> <mo>&times;</mo> <mn>100</mn> </mrow> </mfrac> </mrow> </math>
downhole system efficiency: EFF down = HP H HP PR optimizing the system scheme: by calculation of
<math> <mrow> <mi>B</mi> <mo>=</mo> <mi>A</mi> <mo>&CenterDot;</mo> <mi>R</mi> <mo>=</mo> <mrow> <mo>(</mo> <msub> <mi>a</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>a</mi> <mn>2</mn> </msub> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>,</mo> <msub> <mi>a</mi> <mi>n</mi> </msub> <mo>)</mo> </mrow> <mfenced open='[' close=']'> <mtable> <mtr> <mtd> <msub> <mi>r</mi> <mn>11</mn> </msub> <mo>,</mo> <msub> <mi>r</mi> <mn>12</mn> </msub> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <msub> <mi>r</mi> <mrow> <mn>1</mn> <mi>n</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>r</mi> <mn>21</mn> </msub> <mo>,</mo> <msub> <mi>r</mi> <mn>22</mn> </msub> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <msub> <mi>r</mi> <mrow> <mn>2</mn> <mi>n</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <msub> <mi>r</mi> <mrow> <mi>m</mi> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>r</mi> <mrow> <mi>m</mi> <mn>2</mn> </mrow> </msub> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <msub> <mi>r</mi> <mi>mn</mi> </msub> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mrow> <mo>(</mo> <msub> <mi>b</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>b</mi> <mn>2</mn> </msub> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>,</mo> <msub> <mi>b</mi> <mi>n</mi> </msub> <mo>)</mo> </mrow> </mrow> </math>
And (b) selecting the (bi) with the largest element value in the result set as the optimal scheme, and determining the decision coefficient of each part in the steel wire rod oil pumping system.
TABLE 1
Static pressure of oil layer (Mpa) 32 Deep in oil layer (m) 3480.5
Saturated pressure (Mpa) 11.87 Crude oil density (g/cm ^3) 0.864
Water content (%) 65.6 Crude oil viscosity (m MPs) 24.5
Wellhead pressure (Mpa) 0.5 Oil-gas ratio (m ^3/m ^3) 34.5
Modulus of elasticity of wire rope 1.6 Working fluid level (m) 1550
Wire rope density (Kg/m ^3) 7050 Oil well liquid production rate (m ^3/d) 32.5
TABLE 2
Oil pumping machine model CYJ14-4.8-73HB
Series stroke (m) 4.2、3.6、3.0 Series jig times (r/min) 6、8、10
Series pump diameter (mm) 44、57、70、83 Series pump depth (m) 1200-2000
Automatic software-provided rod column collocation form sequence Phi 19mm steel wire rope rod + phi 25mm conventional steel rod phi 22mm steel wire rope rod + phi 25mm conventional steel rod phi 25mm steel wire rope rod + phi 25mm conventional steel rod phi 22mm steel wire rope rod + phi 19mm steel wire rope rod + phi 25mm conventional steel rod phi 25mm steel wire rope rod + phi 22mm steel wire rope rod + phi 25mm conventional steel rod
Table 3 gives the predicted system index results for the different scenarios. Table 4 gives the results of the software auto-optimizing the spar combination calculations.
TABLE 3
Plan numbering Design parameters of a project System index calculation result
Pump depth (m) Pumping parameters (SXNXD)P) Supply and exhaust coordination Fluid production volume (T/D) Stroke efficiency (%) Pump efficiency (%) And the efficiency (%)
LP-1 1200 4.8×6×57 Insufficient liquid supply 37.0 82.5 35.0 30.1
LP-2 1300 4.8×6×57 Coordination of 41.0 79.4 38.3 34.3
LP-3 1500 4.8×6×57 Coordination of 46.3 72.4 47.9 38.1
LP-4 1700 4.8×6×57 Coordination of 54.2 72.1 48.7 45.2
LP-5 2000 4.8×6×57 Coordination of 62.1 69.6 57.1 50.0
LP-6 2100 4.8×6×57 Coordination of 62.1 66.4 58.4 47.9
LP-7 2300 4.8×6×57 Coordination of 64.8 65.7 60.7 47.0
LP-8 2400 4.8×6×57 Coordination of 62.1 62.7 59.5 41.6
LP-9 2500 4.8×6×57 Coordination of 59.5 59.5 57.4 36.0
S-1 2000 4.8×6×57 Coordination of 62.1 69.6 57.1 50.0
S-2 3.8×6×57 Coordination of 46.3 58.0 55.2 35.2
S-3 2.8×6×57 Coordination of 25.1 43.0 42.1 14.2
N-1 2000 4.8×6×57 Coordination of 62.1 69.6 57.1 50.0
N-2 4.8×8×57 Coordination of 62.0 73.8 42.2 37.5
N-3 4.8×10×57 Coordination of 56.9 73.4 31.4 25.2
DP-1 2000 4.8×6×38 Coordination of 38.3 84.9 82.2 43.1
DP-2 4.8×6×44 Coordination of 48.9 79.9 76.7 52.3
DP-3 4.8×6×57 Coordination of 62.1 69.6 57.1 50.0
DP-4 4.8×6×70 Coordination of 67.4 61.1 43.8 38.9
TABLE 4
Plan numbering Rope pole Weighting rod Maximum load (KN) Minimum load (KN) Remarks for note
Combination of Stress range ratio (%) Combination of Stress range ratio (%)
LP-1 Φ22×598+Φ19×352 55 Φ25×250 34 62 23
LP-2 Φ22×641+Φ19×389 60 Φ25×271 38 67 25
LP-3 Φ25×668+Φ22×473 60 Φ25×359 45 88 36
LP-4 Φ25×717+Φ22×594 69 Φ25×389 52 100 41
LP-5 Φ25×797+Φ22×834 83 Φ25×369 60 117 49
LP-6 Φ25×812+Φ22×886 86 Φ25×402 60 120 51
LP-7 Φ25×1829 >100 Φ25×471 60 143 67 Machine for workingRod overload
LP-8 / / / / / / Overload of machine rod
LP-9 / / / / / / Overload of machine rod
S-1 Φ25×797+Φ22×834 83 Φ25×369 60 117 49
S-2 Φ22×1644 87 Φ25×357 45 98 45
S-3 Φ22×1657 61 Φ25×343 28 85 46
N-1 Φ25×797+Φ22×834 83 Φ25×369 60 117 49
N-2 Φ25×1608 100 Φ25×392 64 140 52 Overload of machine rod
N-3 Φ25×1522 100 Φ25×478 72 148 44 Overload of machine rod
DP-1 Φ22×1647 56 Φ25×353 21 79 44
DP-2 Φ22×1614 70 Φ25×386 31 89 44
DP-3 Φ25×797+Φ22×834 83 Φ25×369 60 117 49
DP-4 Φ25×1620 >100 Φ25×380 91 170 51 Overload of machine rod
Referring to fig. 2 to 5, the influence results of the main pumping operation parameters (pump depth, stroke frequency and pump diameter) on the system index are shown.
Analysis of results
Effect of Pump depth on System index
As can be seen from fig. 2 and table 3: as the pump depth is increased from 1200 m to 2400 m, the stroke efficiency is gradually reduced, and the liquid production amount, the pump efficiency and the underground efficiency are gradually increased; the pole column combination is sequentially increased according to (phi 22+ phi 19) steel wire rope pole + phi 25 weighted pole, (phi 25+ phi 22) steel wire rope pole + phi 25 weighted pole, and phi 25 steel wire rope pole + phi 25 weighted pole, and the stress range ratio of the rope poles and the suspension point load of the oil pumping unit are gradually increased. However, after the pump depth is increased by 2000m, the yield and the pump efficiency are hardly increased, and the downhole efficiency is reduced. Indicating that the production cannot be increased by increasing the pump depth alone, the reasonable pump depth for this well at this pumping parameter is 2000 meters.
Influence of stroke on System index
As can be seen from fig. 3 and table 3: as the stroke is increased from 2.8 meters to 3.8 meters, the stroke efficiency, the liquid production amount, the pump efficiency and the underground efficiency are gradually increased, and the increase amplitude is larger; the pole column combination is sequentially increased according to phi 22 steel wire rope pole + phi 25 weighting pole, (phi 25+ phi 22) steel wire rope pole + phi 25 weighting pole, and the stress range ratio of the rope poles and the suspension point load of the oil pumping unit are gradually increased. The pumping parameter selection should be described with consideration first of all for selecting a long stroke.
Impact of Impulse frequency on System index
As can be seen from fig. 4 and table 3: the stroke efficiency and the liquid yield are slowly increased with a small amplitude along with the increase of the stroke frequency from 6r/min to 8r/min, and the stroke efficiency and the liquid yield are reduced after the stroke frequency exceeds 8 r/min. The pumping efficiency and the underground efficiency are greatly reduced along with the increase of the stroke frequency, and the required diameter of the rod column and the load of the pumping unit are gradually increased. The yield can not be increased by a method of increasing the stroke frequency, and the stable operation of the pumping unit is facilitated by selecting the low stroke frequency of 6r/min for production.
Influence of pump diameter on system index
As can be seen from fig. 5 and table 3: the liquid production amount is greatly increased along with the increase of the pump diameter from 38mm to 57mm, but the increase of the liquid production amount is reduced after the pump diameter exceeds 57 mm; the stroke efficiency and the pump efficiency are greatly reduced along with the increase of the pump diameter; downhole efficiency increases first and then decreases. The required rod string diameter and pumping unit load are increasing. The diameter of the well pump should not be too large, and phi 44 and phi 57 pumps are preferred.
Comprehensively considering multiple objective and multiple factors such as liquid production amount, stroke efficiency, pump efficiency, underground efficiency, load limitation of a pumping unit and the like, the optimization design result of the well is as follows: a pump is designed to have a deep 2000m stroke, a stroke of 4.8m and a stroke frequency of 6r/min, a rod column combined steel wire rope rod (phi 25 multiplied by 797+ phi 22 multiplied by 834) and a conventional rod (phi 25 multiplied by 369), namely an LP-5 scheme is selected.
(1) The invention can comprehensively and quantitatively calculate the supply and discharge coordination of the pumping well of the steel wire rope and the conventional rod-mixed rod column, select reasonable machine-pump working parameters and the mixed rod column combination, analyze the stress condition of the rod column and predict the system index by applying the system engineering analysis method.
(2) According to the preset sequence of the combination form of the mixed rods and the columns, the rod and column combination of the oil well under specific working parameters is economical and reliable, and the optimal combination of the rod and column design is achieved.
(3) The working parameters of the oil well have great influence on the indexes of the oil pumping system of the steel wire rope and the conventional rod mixed rod string, scientific pumping parameters are determined according to the requirements of target liquid production quantity, pump efficiency, underground system efficiency and the like, and the calculation and practice show that: the combination of a steel wire rope rod with long stroke, low stroke frequency, large pump depth, small pump diameter and equal stress range ratio and a conventional rod with larger diameter are reasonable modes of an oil pumping system of a steel wire rope and conventional rod mixed rod string.
(4) The choice of pump depth should be very careful in the design. A problem with reasonable pump depth for a given well operating parameter is that beyond this pump depth not only does not increase production, but it also causes a decrease in downhole system efficiency, increases equipment energy consumption and instability.
Finally, it should be noted that: the above embodiments are only used to illustrate the present invention and do not limit the technical solutions described in the present invention; thus, while the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those skilled in the art that various changes may be made and equivalents may be substituted; all such modifications and variations are intended to be included herein within the scope of this disclosure and the present invention and protected by the following claims.

Claims (7)

1. An implementation method of a steel wire rope rod oil pumping system is characterized in that: the method at least comprises the following steps:
step 1: calculating the liquid supply capacity of the oil well and the dynamic data of pump discharge according to the collected basic production data;
step 2: acquiring a supply and discharge coordination point according to an oil well liquid supply capacity curve and a pump discharge dynamic curve; wherein, the intersection point of the two curves is a supply and discharge coordination point;
and step 3: calculating well condition indexes and characteristic parameters of the steel wire rope rod;
and 4, step 4: and optimizing the system scheme, and determining the parameters of each part in the steel wire rope rod oil pumping system.
2. The method for realizing the steel wire rope rod oil pumping system according to claim 1, is characterized in that: the calculation of the liquid supply capacity of the oil well is specifically as follows: within the range allowed by the IPR curve, namely: q is more than 0t<qtmaxSelecting a group of liquid production values, and calculating corresponding bottom hole flowing pressure according to the IPR curve; or selecting a group of bottom hole flowing pressure values, and calculating corresponding liquid supply values according to the IPR curve;
qtmaxm is the maximum fluid production3/d;
qtM is the amount of liquid produced3/d。
3. The method for implementing the steel wire rope rod oil pumping system according to claim 2, is characterized in that: the liquid supply capacity of the oil well is calculated by the following formula:
flow pressure is calculated according to the liquid production amount:
when 0 < qt≤qbWhen the temperature of the water is higher than the set temperature, P wf = P r - q t J
when q isb<qt≤qomaxWhen is, Pwf=FoPwf oil+FwPwf water
Figure A0215949000022
When q isomax<qt<qtmaxWhen the temperature of the water is higher than the set temperature, P wf = F w ( P r - q o max J ) - ( q t - q o max J ) CD CG
CD = F w 0.001 q o max J + 0.125 F o P b [ - 1 + 81 - 80 0.999 q o max - q b q o max - q b ]
CG=0.001qomax
calculating the liquid production amount by the flow pressure:
when P is presentb<Pwf≤PrWhen q is greater than q1=J(Pr-Pwf)
When P is presentwfG<Pwf≤PbWhen B is not equal to 0, q t = - C + C 2 - 4 B 2 D 2 B 2
when B is 0, qt=D/C
P wfG = F w ( P r - q o max J )
A = P wf + 0.125 F 0 P b - F w P r 0.125 F 0 P b
B = F w 0.125 F 0 P b J
C = 2 AB + 80 q o max - q b
D = A 2 - 80 q b q o max - q b + 81
When 0 < Pwf<PwfGWhen the temperature of the water is higher than the set temperature, <math> <mrow> <msub> <mi>q</mi> <mi>t</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>P</mi> <mi>wfG</mi> </msub> <mo>+</mo> <msub> <mi>q</mi> <mrow> <mi>o</mi> <mi>max</mi> </mrow> </msub> <mi>tan</mi> <mrow> <mo>(</mo> <mi>&beta;</mi> <mo>)</mo> </mrow> <mo>-</mo> <msub> <mi>P</mi> <mi>wf</mi> </msub> </mrow> <mrow> <mi>tan</mi> <mrow> <mo>(</mo> <mi>&beta;</mi> <mo>)</mo> </mrow> </mrow> </mfrac> </mrow> </math>
<math> <mrow> <mi>tan</mi> <mrow> <mo>(</mo> <mi>&beta;</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mi>CD</mi> <mi>CG</mi> </mfrac> </mrow> </math>
CD = F w 0.001 q o max J + 0.125 F o P b [ - 1 + 81 - 80 0.999 q o max - q b q o max - q b ]
CG=0.001qomax
wherein: q. q.somaxM is the maximum oil production3/d;
qtmaxTo the maximum yieldLiquid amount, m3/d;
qoFor oil production, m3/d;
qtM is the amount of liquid produced3/d;
qbM is the oil production at bubble point pressure3/d;
prIs the formation pressure, MPa;
pwfis bottom hole flowing pressure, MPa;
pbbubble point pressure, MPa;
Fwwater content,%; fo=1-Fw
J is the fluid production index, m3/d·MPa。
4. The method for realizing the steel wire rope rod oil pumping system according to claim 1, is characterized in that: the characteristic parameters of the steel wire rope rod are calculated by the following formula:
damping coefficient of the wire rope rod:
(1) structural damping
The equivalent damping of the vibrations produced by the structural damping is: <math> <mrow> <msub> <mi>C</mi> <mi>r</mi> </msub> <mo>=</mo> <mfrac> <mi>&alpha;</mi> <mi>&pi;&omega;</mi> </mfrac> </mrow> </math>
omega is the vibration frequency rad/s; alpha is a constant, independent of the omega frequency, <math> <mfrac> <mn>1</mn> <mrow> <mi>m</mi> <mo>&CenterDot;</mo> <msup> <mi>s</mi> <mn>2</mn> </msup> </mrow> </mfrac> </math> determined by experiments;
(2) fluid viscous damping
The fluid viscous damping of the wire rope rod is:
<math> <mrow> <msub> <mi>c</mi> <mi>l</mi> </msub> <mo>=</mo> <mi>&psi;</mi> <mfrac> <mrow> <mn>2</mn> <mi>&pi;&eta;</mi> </mrow> <mrow> <msub> <mi>&rho;</mi> <mi>r</mi> </msub> <msub> <mi>A</mi> <mi>r</mi> </msub> </mrow> </mfrac> <mi>f</mi> <mrow> <mo>(</mo> <mi>m</mi> <mo>)</mo> </mrow> </mrow> </math>
in the formula: eta is the hydrodynamic viscosity coefficient pa · s;
f (m) is a damping factor, a parameter related to the diameter ratio of the pipe rod and is dimensionless; m = d t d r , wherein:
drthe diameter of the steel wire rope sucker rod; dtThe inner diameter of the oil pipe; psi is a dimensionless correction factor for the surface properties of the steel cord rod, determined experimentally.
The combined length of the steel wire rope mixed rod column is as follows:
for a multi-stage steel wire rope sucker rod string, the stress range of the top end of each stage of steel wire rope rod meets the following conditions:
<math> <mrow> <mfrac> <mrow> <msub> <mi>&sigma;</mi> <mrow> <mi>max</mi> <mo>.</mo> <mi>i</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>&sigma;</mi> <mrow> <mi>min</mi> <mo>.</mo> <mi>i</mi> </mrow> </msub> </mrow> <mrow> <msub> <mrow> <mo>[</mo> <msub> <mi>&sigma;</mi> <mi>max</mi> </msub> <mo>]</mo> </mrow> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>&sigma;</mi> <mrow> <mi>min</mi> <mo>.</mo> <mi>i</mi> </mrow> </msub> </mrow> </mfrac> <mo>&le;</mo> <mn>1</mn> </mrow> </math>
wherein: [ sigma ]max]i=SF(0.25Tr+0.5625σmin.i)
In the formula: sFThe coefficient of use of the steel wire rope sucker rod is obtained;
Trthe maximum tensile strength of the steel wire rope sucker rod is N/mm2
I is the number of stages of the sucker rod from top to bottom;
σmax.i、σmin.iis the pumping rod of the I-levelMaximum and minimum stress at the tip, N/mm2
In order to ensure that the steel wire rope sucker rod is always in a stretching state when in lower stroke and the structural extension of the lower end can be eliminated, the added weight of the weighting rod is required to offset the buoyancy W borne by the steel wire rope and the weighting rodr0Semi-dry friction force W between the bushing and the plungerdAnd a hydraulic resistance W generated when the mixed liquid flows through the traveling valvewThe inertia force W of the weight lever itselfvFriction force with liquid WriAnd can eliminate partial structural elongation W of the steel wire ropej. Therefore, the weight bar to be added at the lower end of the pole column at least meets the following requirements:
Ws≥Wd+Wv+Ws+Ww+Wri+Wj+Wr0
5. the method for realizing the steel wire rope rod oil pumping system according to claim 1, is characterized in that: the pump discharge dynamics data is calculated by the following formula:
Q=0.001131ηSnDp 2
wherein,
q is the displacement of the pump and Q is the displacement of the pump,
eta is the pump efficiency and is the pump efficiency,
s is the stroke of the oil pumping machine,
n is the stroke frequency of the oil pumping unit,
Dpthe pump diameter.
6. The method for realizing the steel wire rope rod oil pumping system according to claim 1, is characterized in that: the well condition indicators include at least: beam-pumping unit suspension load, beam-pumping unit torque, effective stroke, pump efficiency, hydraulic power, polished rod power and downhole system efficiency; wherein, each index is calculated as follows:
calculating the suspension point load of the oil pumping unit: F max = ( F r + F L ) ( 1 + s n 2 1790 ) + F w
F min = F r ( 1 - d L d r - s n 2 1790 ) + F w
and (3) calculating the torque of the pumping unit: mmax=1800s+0.202s(Pmax-Pmin)
Calculation of effective stroke: sp=S+λInertial force measuring deviceRod
Pump efficiency: etap=ηQi (Qi)ηBecomeηLeakage net
ηQi (Qi)=ηGas 1ηGas 2
Figure A0215949000064
Figure A0215949000065
ηLeakage net=ηDrain 1ηDrain 2
Hydraulic power: <math> <mrow> <mi>H</mi> <msub> <mi>P</mi> <mi>H</mi> </msub> <mo>=</mo> <mfrac> <mrow> <mi>Q</mi> <msub> <mi>L</mi> <mi>g</mi> </msub> </mrow> <mn>86400</mn> </mfrac> <mo>=</mo> <mfrac> <mrow> <msub> <mi>Q</mi> <mi>t</mi> </msub> <msub> <mi>&rho;</mi> <mi>l</mi> </msub> <msub> <mi>L</mi> <mi>g</mi> </msub> </mrow> <mn>86400</mn> </mfrac> <mi>&eta;</mi> </mrow> </math>
polished rod power: <math> <mrow> <msub> <mi>HP</mi> <mi>PR</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msubsup> <mi>W</mi> <mn>1</mn> <mo>&prime;</mo> </msubsup> <mi>sn</mi> </mrow> <mrow> <mn>60</mn> <mo>&times;</mo> <mn>100</mn> </mrow> </mfrac> </mrow> </math>
downhole system efficiency: EFF down = HP H HP PR
7. the method for realizing the steel wire rope rod oil pumping system according to claim 1, is characterized in that: the system scheme optimization is as follows: and (3) calculating:
<math> <mrow> <mi>B</mi> <mo>=</mo> <mi>A</mi> <mo>&CenterDot;</mo> <mi>R</mi> <mo>=</mo> <mrow> <mo>(</mo> <msub> <mi>a</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>a</mi> <mn>2</mn> </msub> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>,</mo> <msub> <mi>a</mi> <mi>n</mi> </msub> <mo>)</mo> </mrow> <mfenced open='[' close=']'> <mtable> <mtr> <mtd> <msub> <mi>r</mi> <mn>11</mn> </msub> <mo>,</mo> <msub> <mi>r</mi> <mn>12</mn> </msub> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <msub> <mi>r</mi> <mrow> <mn>1</mn> <mi>n</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>r</mi> <mn>21</mn> </msub> <mo>,</mo> <msub> <mi>r</mi> <mn>22</mn> </msub> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <msub> <mi>r</mi> <mrow> <mn>2</mn> <mi>n</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> </mtd> </mtr> <mtr> <mtd> <msub> <mi>r</mi> <mrow> <mi>m</mi> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>r</mi> <mrow> <mi>m</mi> <mn>2</mn> </mrow> </msub> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <msub> <mi>r</mi> <mi>mn</mi> </msub> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mrow> <mo>(</mo> <msub> <mi>b</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>b</mi> <mn>2</mn> </msub> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>,</mo> <msub> <mi>b</mi> <mi>n</mi> </msub> <mo>)</mo> </mrow> </mrow> </math>
and determining the decision coefficient of each part in the steel wire rod oil pumping system by taking the best scheme with the maximum bi as the best scheme.
CNA021594902A 2002-12-31 2002-12-31 Realizing method for steel cable rod oil pumping system Pending CN1512033A (en)

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Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102865053A (en) * 2011-07-04 2013-01-09 中国石油天然气股份有限公司 Method and device for judging optimal stroke frequency of oil pumping unit
CN101586458B (en) * 2009-05-27 2014-02-12 杨厚荣 Energy saving and efficiency increasing system
CN106761602A (en) * 2016-12-28 2017-05-31 中国石油天然气股份有限公司 Method and device for determining production conditions of oil well
CN109899056A (en) * 2017-12-07 2019-06-18 中国石油天然气股份有限公司 Method and device for determining parameters of oil pumping unit and computer readable storage medium
CN111898230A (en) * 2019-05-06 2020-11-06 中国石油天然气股份有限公司 Method and device for determining dimensionless characteristic curve of sucker-rod pump downhole system

Cited By (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101586458B (en) * 2009-05-27 2014-02-12 杨厚荣 Energy saving and efficiency increasing system
CN102865053A (en) * 2011-07-04 2013-01-09 中国石油天然气股份有限公司 Method and device for judging optimal stroke frequency of oil pumping unit
CN106761602A (en) * 2016-12-28 2017-05-31 中国石油天然气股份有限公司 Method and device for determining production conditions of oil well
CN106761602B (en) * 2016-12-28 2020-02-14 中国石油天然气股份有限公司 Method and device for determining production conditions of oil well
CN109899056A (en) * 2017-12-07 2019-06-18 中国石油天然气股份有限公司 Method and device for determining parameters of oil pumping unit and computer readable storage medium
CN109899056B (en) * 2017-12-07 2021-11-30 中国石油天然气股份有限公司 Method and device for determining parameters of oil pumping unit and computer readable storage medium
CN111898230A (en) * 2019-05-06 2020-11-06 中国石油天然气股份有限公司 Method and device for determining dimensionless characteristic curve of sucker-rod pump downhole system

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