CN1900478A - Method for determining system parameters of rod-pumped well - Google Patents

Method for determining system parameters of rod-pumped well Download PDF

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CN1900478A
CN1900478A CN 200510084254 CN200510084254A CN1900478A CN 1900478 A CN1900478 A CN 1900478A CN 200510084254 CN200510084254 CN 200510084254 CN 200510084254 A CN200510084254 A CN 200510084254A CN 1900478 A CN1900478 A CN 1900478A
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oil
parameter
well
pumping
pump
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CN100513738C (en
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郭吉民
张建军
张胜利
谢江
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Petrochina Co Ltd
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Abstract

A method for determining the parameters of pumping well system based on parameter sensitivity analysis relates to the mechanical oil extraction technology in oil extraction. The method is mainly characterized in that the change rate of pumping parameters such as stroke, stroke frequency, pump diameter, pump depth, diameter and length of a sucker rod and the like to the system efficiency is calculated by solving a wave equation with damping, the change rates are sequenced according to the absolute values of the change rates, the sensitivity degree of the pumping parameters is analyzed, and a group of optimal pumping parameters of the oil pumping well system are selected preferably by taking the system efficiency, the oil well yield, the load, the torque and the like as limiting conditions. It has the advantages that: the method can quantitatively analyze various factors influencing the efficiency of the pumping unit system, can calculate the problems that the power of the sucker rod, the efficiency of an oil pipe and the like are difficult to calculate in the past, improves the data precision, solves the design problem of complex parameters of the pumping unit system, can improve the system efficiency of an oil well, is suitable for pumping unit well systems consisting of pumping units and motors of inclined wells, straight wells and different types, and has wide application range.

Description

A kind of method for determining oil pumping machine well system parameter
Technical field
The present invention relates to the mechanical oil production technology technology in the oil exploitation.
Background technology
In the oil production technology parameter designing of rod-pumped well, mostly the theoretical of past is to utilize regression analysis to set up system efficiency of pumping well and stroke, jig frequency, pump footpath, descended the relation between the parameters such as the pump degree of depth, lift height, pump efficiency, motor rated power, and the Mathematical Modeling of foundation only is applicable to specific block and specific technical equipment condition.In at the system effectiveness analytical calculation of (comprising each classification efficiency), all be difficult to calculate as power input to machine, polished rod horsepower, sucker rod, oil pipe efficient etc., and the Site Test Analysis workload is big, can't carry out large scale application, simultaneously can not be in conjunction with the concrete condition of oil well, the various parameters of quantitative analysis are to the influence factor and the influence degree of this well system effectiveness.If any " a kind of sucker rod pumping technological parameter is determined method " (ZL99109780.7), when carrying out parameter combinations, what adopt is the mode of big queuing, to calculate each combination, amount of calculation is very big like this, and when calculating, set about from input power, only considered the motor unused power, the variable loss that does not have consideration to change with the induction-motor load rate, do not take into full account the characteristic of oil pumper and motor and the influence of pump efficiency yet, the sensitiveness of system efficiency of pumping well influence factor is not analyzed, the data precision that calculates is relatively poor.Though the computer simulation technique of rod pumping system dynamic parameter is also arranged abroad, major part has just been considered the rod string one-dimensional longitudinal vibration, i.e. the one dimension simulation model.The foundation that also has the two-dimensional simulation model, but when shallow well, high jig frequency and oil well liquid were low compressibility, its computational accuracy was just poor, and when the aboveground use of China's energy-saving pumping unit, still has certain limitation.Set up three-dimensional simulation model though also have, the peculiar load feature of transmission system but still the power drive line that does not take into full account rod-pumped well is unified, do not take into full account of the influence of the instantaneous transmission efficiency of pumping well system, do not take into full account the influence of gas phase each parameter.Therefore the Optimization Design that does not also have a kind of easy to use, oil pumping machine well system parameter that applicable surface is wider.
Summary of the invention
The objective of the invention is in order to propose a kind of easy to use, a kind of method for determining oil pumping machine well system parameter that applicable surface is wider, by of the influence of each parameter of quantitative analysis pumping well system to system effectiveness, can determine oilwell parameter more accurately, improve the system effectiveness of rod-pumped well, improve the production management level of oil well, realize energy-saving and cost-reducing.
Technical solution of the present invention is to realize like this, a kind of method for determining oil pumping machine well system parameter, choosing the oil well master data comprises: midpoint of pay zone, oil density, viscosity of crude, stroke, jig frequency, pump are dark, pump footpath, production fluid amount, moisture, oil pressure, casing pressure, oil pumper model and physical dimension, motor rated power; Sucker rod and oil pipe data comprise: roofbolt intensity, roofbolt progression, sucker rod diameter and length, tubing diameter; Carry out computational analysis according to above data, its special character is:
(1) calculates the sensitivity level of each parameter of rod-pumped well
By finding the solution the wave equation of band damping, calculate load on rod string, the pump plunger and displacement, effective power, polished rod horsepower, input power, surface efficiency, down-hole efficient, system effectiveness, and the numerical value of variable elements such as, sucker rod diameter dark and length, motor rated power based on the stroke of the current use of oil well, jig frequency, pump footpath, pump, by system effectiveness above-mentioned variable element is asked partial derivative, calculate the rate of change of these variable elements to system effectiveness, be sensitivity level, and sort by its order of magnitude.
(2) according to the sensitivity level of variable element, adjust 3-5 variable element, carry out the swabbing parameter combination and calculate corresponding system effectiveness value, select a series of swabbing parameter combinations of system effectiveness greater than the current system effectiveness of oil well.
(3) to satisfy following each bar simultaneously, in above-mentioned a series of swabbing parameter combinations, just select the swabbing parameter combination that meets constraints as constraints;
G ( 1 ) = Q p - 1440 ρA P Snα ≤ 0 G ( 2 ) = 1440 A P Snα - 1.15 Q p ≤ 0 G ( 3 ) = p max - [ p max ] ≤ 0 G ( 4 ) = M max - [ M max ] ≤ 0 G ( 5 ) = σ max - [ σ max ] ≤ 0 G ( 6 ) = 0.4 - α ≤ 0
Wherein:
Q PBe oil well target output, t/d;
ρ is the relative density of oil well liquid-producing, kg/cm 3
A pThe plunger sectional area, mm 2
The S stroke, m;
The n jig frequency, min -1
α pump coefficient of fullness, %;
p MaxOil pumper suspension point design peak load, kN;
[p Max] oil pumper suspension point permission peak load, kN;
M MaxReduction gearbox output shaft design peak torque, kNm;
[M Max] reduction gearbox output shaft permission peak torque, kNm;
σ MaxEvery grade pumping rod tip designs maximum stress, MPa;
[σ Max] every grade pumping rod top permission maximum stress, MPa;
(4) from the first swabbing parameter assembled scheme of selecting of (3) step, optimize the most effective swabbing parameter combination of a group system.
In above-mentioned technical solution, its special character also is: based on the one group of supplemental characteristic that is optimized, the sensitivity level that carries out parameter again calculates, draw the rate of change of these parameters to system efficiency of pumping well, sort by its order of magnitude, and and the former sensitivity to parameter degree that calculates compare, if the rate of change of the pairing system efficiency of pumping well of adjusting of parameter has diminished after adjustment, the result that this parameter adjustment then is described is rational.
Usefulness of the present invention is: (1) utilizes this method to carry out quantitative analysis to the various factors that influences system efficiency of pumping well, by wave equation dynamic simulation is carried out on ground and down-hole pump indicator card then, both considered the variable loss that the induction-motor load rate changes, also take into full account the characteristic of oil pumper and motor and the influence of pump efficiency, can calculate power input to machine, polished rod horsepower, sucker rod, oil pipe efficient etc. was difficult to the problem that calculates in the past, improved the data precision that calculates, solved the design problem that in the past is difficult to solve the oil pumping machine well system parameter complexity, the oil pumping machine well system parameter data of determining are applied on the oil well, can improve the system effectiveness of oil well, improve the production management level of oil well, realize energy-saving and cost-reducing.(2) because this method is based on wave equation, taken all factors into consideration of the influence of the dynamic characteristics of different oil pumpers, motor to vibration of sucker-rod string, be applicable to the operating mode diagnosis of inclined shaft, straight well, can also be applicable to the pumping well system that dissimilar oil pumpers, motor are formed, widely applicable.(3) owing to introduced the notion of sensitivity level in the method, and at first calculate the sensitivity level of each swabbing parameter, the parameter of selecting needs to adjust according to sensitivity level needn't be to the combination of ranking of all parameters, and the workload of being calculated is less.(4) can design correspondent computer software according to this method, realize by the concrete production problem on the network solution oil wells in field.
Description of drawings
Fig. 1 is No. 1 well emulation surface dynamometer card in the embodiment of the invention, downhole dynagraph.
Fig. 2 is No. 1 well emulation net torque curve map in the embodiment of the invention
Fig. 3 is No. 1 well simulating electric acc power curve map in the embodiment of the invention.
Table 1 is the systematic parameter combined result that No. 1 well is just selected in the embodiment of the invention.
Table 2 be in the embodiment of the invention No. 1 well by 6 constraints result of calculations.
Table 3 is No. 1 well parameter combinations preferred result and relevant calculation of measured data in the embodiment of the invention.
Table 4 is systematic parameter combined result that No. 2 wells are just selected in the embodiment of the invention.
Table 5 be in the embodiment of the invention No. 2 wells by 6 constraints result of calculations.
Table 6 is No. 2 well parameter combinations preferred result and relevant calculation of measured data in the embodiment of the invention.
The specific embodiment
(1) noun lexical or textual analysis:
1. sucker rod combination: be meant the combination of on a bite oil well employed each grade pumping rod diameter and length thereof.
2. systematic parameter: be meant the parameter that can change numerical value in the pumping well system,, also claim variable element as stroke S, jig frequency N, pump footpath D, the dark L of pump, sucker rod combination, installed power.
3. swabbing parameter combination: be meant the combination when each variable element in the pumping well system is selected different numerical value for use.
4. the current system effectiveness of oil well: i.e. the current parameter values combination of using of oil well is the system effectiveness of oil well down.
5. oilwell parameter sensitivity level: i.e. system effectiveness, sucker rod diameter dark to stroke, jig frequency, pump footpath, the pump of oil well and length, the motor rated power partial derivative of trying to achieve is called the oilwell parameter sensitivity level.
6. target discharge capacity Q P: be that designer base area plasmogamy is produced the output that definite a kind of hope obtains, t/d.
(2) kinetic model of rod-pumped well rod string can be considered the extensional vibration problem of the elastic rod that damping is arranged, and the Gibbs wave equation of available band damping is found the solution.The general type of Gibbs wave equation is:
∂ 2 u ( x , t ) ∂ t 2 = a 2 ∂ 2 u ( x , t ) ∂ x 2 - c ∂ u ( x , t ) ∂ t
In the formula: a: the spread speed of sound in sucker rod a = E r ρ r , m / s ;
C: oil well liquid is to the viscous damping coefficient of rod string, s -1
Er: sucker rod elastic constants, N/m 2
ρ r: material of sucker rod density, kg/m 3
U (x, t): the shift value under rod string different depth and time, m;
U: displacement, m;
T: time, s;
Present embodiment adopts the displacement difference decomposition method to find the solution above-mentioned wave equation.
Utilize known oil pumper model, check in its geometry size.Utilize parameters such as physical dimension, rod string diameter and length, stroke, jig frequency, pump footpath, the pump of oil pumper be dark, between each grade pumping rod,, adopt the variable step difference scheme to find the solution along well depth x direction.
Consideration the displacement U of the junction of two grade pumping rods (x, t) and speed V (x, t) and load F (x, continuity t).With the suspension point displacement of oil well, load as fringe conditions, draw out the relation curve 4 (referring to accompanying drawing 3) of surface dynamometer card curve 1 (referring to accompanying drawing 1), crank angle and crank torque relation curve 3 (referring to accompanying drawing 2), crank angle and motor power (output), calculate the polished rod horsepower N of this well according to surface dynamometer card Polished rodFrom the surface dynamometer card position, calculate the displacement U on the rod string No. one time every 10 meters downwards I, jAnd load Fi, j, and can further draw the downhole dynagraph curve at each point place, the downhole dynagraph of roofbolt lowermost end is curve 2 (referring to an accompanying drawing 1).
With the Gibbs wave equation, find the solution into following partial differential equation.
∂ F ∂ x = ρ r A ∂ v ∂ t + ρ r ACv ∂ F ∂ t = E r A ∂ v ∂ x
In the formula: F: act on the load on the sucker rod, kN;
X: sucker rod is with the shift value of point suspension movement, m;
ρ r: material of sucker rod density, kg/m 3
A: sucker rod cross-sectional area, mm 2
C: oil well liquid is to the viscous damping coefficient of rod string, s -1
V: the movement velocity of sucker rod, m/s;
Er: sucker rod elastic constants, N/m 2
When finding the solution wave equation, consider of the influence of motor momentary load utilization rate, the instantaneous input power N of formula calculating motor below utilizing to the momentary efficiency of motor MWith Mean Input Power N M:
N M = β · P N + P 0 + [ ( 1 η N - 1 ) P N - P 0 ] β 2 N ‾ M = 1 T ∫ 0 T N M dt
In the formula: N M: the instantaneous input power of motor, kW; N M: motor Mean Input Power, kW; (N M=N Input)
β: the instantaneous power utilization rate of motor, β=N MO/ P NP N: the rated power of motor, kW;
P 0: the unused power of motor, kW; η N: motor rated efficiency, %.
According to crank angle and motor power (output) curve (curve 4), the instantaneous input power in the one-period is asked algebraical sum, calculate the Mean Input Power N of system Input, calculate surface efficiency value η by following formula again Ground
Utilize the formula that extensively adopts at present to calculate the effective power N of rod-pumped well Effectively:
Figure A20051008425400083
In the formula: N Effectively: system's effective power, kW;
H: effective lift height, m;
ρ m: profit two-phase mixed liquor density, 10 3Kg/m 3
Q: the actual production fluid amount of oil well, m 3/ d.
Calculate down-hole efficiency value η by following formula The down-hole
Calculate system effectiveness value η by following formula System
Figure A20051008425400085
(3) the system efficiency of pumping well simulation model can be expressed as:
η System=F (x 1, x 2, x 3... .., x N)
In the present invention, x iBe represent that stroke in the pumping well system, jig frequency, pump footpath, pump are dark, each swabbing parameter such as sucker rod diameter and length, motor rated power.Sensitivity level is calculated by following formula:
Figure A20051008425400091
i＝1，2，3，......，N
i＝1，2，3，......，N
System effectiveness is to aleatory variable x iThe partial derivative absolute value
Figure A20051008425400093
Size reflected the influence degree of this variable to system effectiveness, i.e. our alleged sensitivity level,
Figure A20051008425400094
Be worth big more, remarkable more to system effectiveness influence, simultaneously
Figure A20051008425400095
Positive negative value reflected the influence direction of this factor to system effectiveness.When
Figure A20051008425400096
The time, the expression system effectiveness increases with the increase of this factor;
Figure A20051008425400097
The time, the expression system effectiveness reduces with the increase of this factor.According to Size sort, just as can be seen each parameter to the influence degree of system effectiveness.
(4) object function and the constraints according to above-mentioned foundation can get the swabbing parameter general mathematics model:
The above-mentioned extreme-value problem of asking belongs to discrete variable (stroke S, jig frequency N, pump footpath D, the dark L of pump, sucker rod combination, installed power) non-linear constrained optimal design problem, present embodiment adopts the big minispread of enumerative technique by the system effectiveness value, preferred corresponding swabbing parameter assembled scheme.
(5) for inclined shaft and specific type rod-pumped well
When determining the systematic parameter of inclined shaft, introduce the hole deviation data as influence factor, the calculation of friction resistance that increases by oil pumper suspension point in the upper and lower stroke that hole angle and azimuthal variation are caused, revise the result of calculation of rod-pumped well polished rod load and reduction gearbox output shaft torque, can improve the computational accuracy of input power.
When determining to use the well system parameter of specific type oil pumper, by setting up the motion model of corresponding special oil pumper, consider of the influence of the difference of its characteristics of motion to one-period built-in motor input power curve, revise the result of calculation of motor operational efficiency and input power curve, also can improve the computational accuracy of input power.
(6) calculated examples 1:
No. 1 well: the oil well master data is: midpoint of pay zone 1865m, oil density 0.88, viscosity of crude 26.76mPas, stroke 2.6m, jig frequency 5.12min -1, the dark 1200.58m of pump, pump footpath 38mm, production fluid amount 17t/d, producing fluid level 1048m, moisture 91.2%, oil pressure 0.96MPa, casing pressure 0.2MPa, oil pumper model C YJ10-5-53HB (can obtain the oil pumper physical dimension) according to the oil pumper model, motor rated power 18.5kW; D grade pumping rod combination Φ 25mm * 252.94m+ Φ 22mm * 337.36m+ Φ 19mm * 593.8m, pipe aperture Φ 62mm.
1. by the present parameter value that uses of this well: stroke 2.6m, jig frequency 5.12min -1, pump footpath 38mm, the dark 1200m of pump, sucker rod diameter and variable elements such as length combination Φ 25mm * 252.94m+ Φ 22mm * 337.36m+ Φ 19mm * 593.8m, motor installed power 18.5kW, the rate of change of system effectiveness when calculating these variable elements variations, and sort as follows by its order of magnitude:
Parameter rate of change numerical value
Pump footpath 30.21
When gauge rod footpath-26.91
Pump dark 10.97
Jig frequency-5.35
Stroke-2.74
Motor rated power-0.04
2. according to above-mentioned rate of change absolute value ordering situation, adjust 5 variable elements, the pump footpath is got 32mm, 38mm, 44mm, 56mm respectively, when gauge rod is directly got Φ 25, Φ 22,19 3 kinds of sucker rod single-stages of Φ and multistage combination, pump deeply according to scope dark in well fluid level and the oil reservoir by different ladder values, jig frequency is got 5.78min respectively -1, 4.66min -1, 4.45min -1, 3.77min -1, 3.56min -1, 3.11min -1, 2.88min -1, 2min -1, stroke is got 3m, 4m, 5m respectively, calculates corresponding system effectiveness value, can draw the series of parameters combination.
Calculating the current system effectiveness of this well is 29.96%.From above-mentioned series of parameters combination, draw 17 groups of swabbing parameter combinations, referring to subordinate list 1 greater than the current system effectiveness of this well.
3. carry out scheme primary election to satisfy 6 constraintss simultaneously: in above-mentioned 17 groups of swabbing parameters combination, just select the swabbing parameter combination that meets constraints, referring to subordinate list 2.
G (1), G (2)---with the oil well output is constraints: the daily output that promptly requires oil well is got Q in certain zone of reasonableness P≤ Q≤1.15Q p, promptly designing production Q should be more than or equal to the target output Q of oil well P, and be less than or equal to 1.15 times target output Q pAbove-mentioned 17 groups of swabbing parameters combination all meets this requirement, referring to table 2.
G (3)---with the oil pumper polished rod load is constraints: the specified polished rod load of this well oil pumper that checks in according to the oil pumper model is 100kN, more than 17 groups of parameter combinations correspondences respectively organize peak load all less than the suspension point rated load, be gained as a result G (3) all less than 0, show that these 17 groups of parameter combinations all meet this requirement, referring to table 2.
G (4)---with the oil pumping unit reduction gearbox output shaft torque is constraints: the reduction gearbox output shaft torque that checks in according to the oil pumper model is 53kNm, more than in 17 groups of parameter combinations the 9th, 15,17 group exceed this oil pumper nominal torque, so they are removed, other 14 groups of parameter combinations meet the requirements, referring to table 2.
G (5)---with rod string stress is constraints: according to Φ 19mm, the D grade pumping rod material of this well, checking in allowable stress is 320MPa, sucker rod stress calculation result in above-mentioned 14 groups of parameter combinations, all less than this allowable stress, be that these 14 groups of parameter combinations also all meet this requirement, referring to table 2.
G (6)=0.4-pump efficiency＜0
G (6)---with the pump efficiency is constraints: get pump efficiency following be limited to 40% (can change) to different oil fields or oil reservoir, on be limited to 100%, calculate the pump efficiency value of above-mentioned 14 groups of parameter combinations, its result is all in this constraints scope, referring to table 2.
4. preferred parameter combination: in above-mentioned 14 groups of parameter combinations, select one group of the highest parameter combinations of system effectiveness, obtaining the 12nd group of parameter combinations is optimal case, referring to table 3.
5. to preferred swabbing parameter combination, carry out the sensitivity to parameter degree again and calculate, and sort by its order of magnitude, its result is as follows:
Parameter rate of change numerical value
Pump footpath 30.14
When gauge rod footpath-18.79
Jig frequency-2.4
Pump dark 0.72
Stroke 0.39
Motor rated power 0.03
With this result of calculation and the 1. the result of calculation in step compare, the sensitivity to system effectiveness that can find pump footpath,, stroke dark when gauge rod footpath, pump, jig frequency, power of motor all has reduction, prove that adjusted parameter is reasonably, can play the optimization system parameter, improve the purpose of system effectiveness.
(7) calculated examples 2:
No. 2 wells: the oil well master data is: midpoint of pay zone 2000m, oil density 0.86, viscosity of crude 4mPas, stroke 2m, jig frequency 9.11min -1, the dark 1512m of pump, pump footpath 38mm, production fluid amount 22.11t/d, producing fluid level 1018m, moisture 64.5%, oil pressure 0.3MPa, casing pressure 0.4MPa, oil pumper model C YJ10-3-53HB (can obtain the oil pumper physical dimension) according to the oil pumper model, motor rated power 18.5kW; D grade pumping rod combination Ф 22mm * 400m+ Φ 19mm * 500m+ Φ 22mm * 612m, pipe aperture Φ 62mm.
1. by the present parameter value that uses of this well: stroke 2m, jig frequency 9.11min -1, pump footpath 38mm, the dark 1512m of pump, sucker rod diameter and variable elements such as length combination Φ 22mm * 400m+ Φ 19mm * 500m+ Φ 22mm * 612m, motor installed power 18.5kW, the rate of change of system effectiveness when calculating these variable elements variations, and sort as follows by its order of magnitude:
Parameter rate of change numerical value
When gauge rod footpath-33.43
Pump footpath 32.11
Jig frequency-11.48
Stroke-11.44
Pump dark-2.65
Motor rated power 2.1
2. according to above-mentioned rate of change absolute value ordering situation, adjusts 5 variable elements, when gauge rod is directly got 19 2 kinds of sucker rod single-stages of Φ 22, Φ and multistage combination, pump is directly got 38mm, 44mm, 56mm, 70mm respectively, and jig frequency is got 9min respectively -1, 8min -1, 7min -1, 6min -1, 5min -1, 4min -1, 3min -1, stroke is got 2m, 2.5m, 3m respectively, and pump is got three grades of 1200m, 1533m, 1800m deeply, calculates corresponding system effectiveness value, can draw the series of parameters combination, and subordinate list 4 is listed 20 groups of parameter combinations.
Calculating the current system effectiveness of this well is 31.12%.In above-mentioned 20 groups of parameter combinations, the system effectiveness of the 1st, 2,3 three parameter combinations is less than the current system effectiveness of this well, so with its deletion, remain 17 groups of swabbing parameter combinations greater than the current system effectiveness of this well, referring to subordinate list 4.
3. carry out scheme primary election to satisfy 6 constraintss simultaneously:
G (1), G (2)---with the oil well output is constraints:
This constraints requires daily output Q at Q P≤ Q≤1.15Q pIn the scope, therefore the 4th, 11,12 3 group of combination should be deleted, and referring to table 5, remains 14 groups of parameter combinations.
G (3)---with the oil pumper polished rod load is constraints: the specified polished rod load of this well oil pumper that checks in according to the oil pumper model is 100kN, more than 14 groups of parameter combinations correspondences respectively organize peak load all less than the suspension point rated load, be gained as a result G (3) show that all less than 0 these 14 groups of parameter combinations all meet this requirement.
G (4)---with the oil pumping unit reduction gearbox output shaft torque is constraints: the reduction gearbox output shaft torque that checks in according to the oil pumper model is 53kNm, more than in 14 groups of parameter combinations the 15th group exceed the oil pumper nominal torque, so this group is removed, other 13 groups of parameter combinations meet the requirements, referring to table 5.
G (5)---with rod string stress is constraints: according to Ф 19mm, the D grade pumping rod material of this well, checking in allowable stress is 320MPa, the sucker rod stress calculation result of above-mentioned 13 groups of parameter combinations is all less than this allowable stress, these 13 groups of parameter combinations also all meet this requirement, referring to table 5.
G (6)=0.4-pump efficiency＜0
G (6)---with the pump efficiency is constraints: get pump efficiency be limited to 40% down, on be limited to 100%, calculate the pump efficiency value of above-mentioned 13 groups of parameter combinations, its result is all in the constraints scope, referring to table 5.
4. preferred parameter combination: in above-mentioned 13 groups of parameter combinations, select one group of the highest parameter combinations of system effectiveness, obtaining the 18th group of parameter combinations is optimal case, referring to table 6.
5. to preferred swabbing parameter combination, carry out the sensitivity to parameter degree again and calculate, and sort by its order of magnitude, its result is as follows:
Parameter rate of change numerical value
Pump footpath 34.72
When gauge rod footpath-20.92
Pump dark-1.92
Stroke-1.36
Motor rated power 0.33
Jig frequency-0.28
With this result of calculation and the 1. the result of calculation in step compare, can find has the increase except that the rate of change numerical value in pump footpath slightly, the sensitivity to system effectiveness of, stroke dark when gauge rod footpath, pump, jig frequency, power of motor all has reduction, prove that adjusted parameter still is reasonably, played the optimization system parameter, improved the purpose of system effectiveness.And this well can't satisfy the requirement that continues to increase big pump diameter owing to be subjected to the restriction of fluid supply capacity.
The systematic parameter combined result that No. 1 well of table 1 is just selected
Sequence number Pump footpath (mm) Stroke (m) Jig frequency (min -1) Pump dark (m) Producing fluid level (m) Daily output (t/d) Pump efficiency (%) Peak load (kN) Peak torque (kNm) Input power (kW) Effective power (kW) Polished rod horsepower (kW) Surface efficiency (%) Down-hole efficient (%) System effectiveness (%)
1 32 3 5.78 1300 954 16.6 83.48 50.44 24.28 5.54 1.71 4.27 77.02 40.00 30.81
2 38 3 4.45 1300 1007 16.92 78.39 46.58 25.59 4.90 1.84 3.83 78.23 47.99 37.54
3 44 3 3.56 1300 1035 17.08 73.76 49.94 29.75 4.51 1.91 3.56 78.94 53.56 42.28
4 32 4 4.45 1300 1007 16.92 82.91 43 31.58 5.92 1.84 4.49 75.81 40.93 31.03
5 38 4 3.11 1300 967 16.69 82.79 45.1 34.13 4.62 1.74 3.59 77.72 48.49 37.69
6 44 4 3.11 1300 1166 17.72 65.55 51.03 44.64 5.45 2.23 4.15 76.16 53.70 40.9
7 32 5 3.56 1300 1021 17.01 83.32 42.92 42.94 6.09 1.87 4.53 74.43 41.35 30.78
8 38 5 3.11 1300 1161 17.68 70.14 46.69 51.8 6.18 2.21 4.59 74.22 48.24 35.8
9 44 5 3.11 1188 1133 17.62 52.13 47.82 56.29 6.16 2.15 4.56 73.97 47.22 34.93
10 38 3 4.66 1444 1075 17.99 79.54 60.93 31.14 7.49 4.61 2.84 61.56 61.52 37.87
11 44 3 4.66 1555 1211 21.9 72.23 70.04 40.26 9.02 5.76 3.88 63.87 67.36 43.02
12 56 3 2.88 1444 1148 20.16 66.31 76.33 46 6.85 4.39 3.23 64.14 73.56 47.18
13 38 4 3.77 1555 1147 20.11 82.38 64.6 46.19 8.66 5.35 3.31 61.80 61.88 38.24
14 44 4 2.88 1555 1139 19.89 79.47 69.02 51.34 7.84 4.92 3.43 62.76 69.73 43.76
15 56 4 2.88 1111 1068 17.8 43.89 62.58 56.63 7.28 4.56 2.71 62.56 59.49 37.22
16 38 5 2.88 1444 1118 19.26 82.55 61.09 38.44 8.52 5.23 3.25 61.39 62.09 38.12
17 44 5 2 1333 1051 17.24 79.6 60.63 62.65 9.38 6.03 4.02 64.34 66.69 42.91
No. 1 well of table 2 is by 6 constraints result of calculations
Sequence number Daily output (t/d) Qp (t/d) 1.15Qp (t/d) G(1) G(2) Peak load (kN) G(3) Peak torque (kNm) G(4) Roofbolt stress (MPa) G(5) Pump efficiency (%) G(6)
1 16.6 15.05 17.31 -1.55 -0.71 50.44 -49.56 24.28 -28.72 177.9 -142.1 83.48 -43.48
2 16.92 15.38 17.69 -1.54 -0.77 46.58 -53.42 25.59 -27.41 164.29 -155.71 78.39 -38.39
3 17.08 15.52 17.85 -1.56 -0.77 49.94 -50.06 29.75 -23.25 176.14 -143.86 73.76 -33.76
4 16.92 15.35 17.65 -1.57 -0.73 43 -57 31.58 -21.42 151.66 -168.34 82.91 -42.91
5 16.69 15.14 17.41 -1.55 -0.72 45.1 -54.9 34.13 -18.87 159.07 -160.93 82.79 -42.79
6 17.72 16.06 18.47 -1.66 -0.75 51.03 -48.97 44.64 -8.36 179.98 -140.02 65.55 -25.55
7 17.01 15.42 17.74 -1.59 -0.73 42.92 -57.08 42.94 -10.06 151.38 -168.62 83.32 -43.32
8 17.68 16.03 18.44 -1.65 -0.76 46.69 -53.31 51.8 -1.2 164.67 -155.33 70.14 -30.14
9 17.62 15.97 18.36 -1.65 -0.74 47.82 -52.18 56.29 3.29 168.67 -151.33 52.13 -12.13
10 17.99 16.35 18.80 -1.64 -0.81 60.93 -39.07 31.14 -21.86 214.91 -105.09 79.54 -39.54
11 21.9 19.89 22.88 -2.01 -0.98 70.04 -29.96 40.26 -12.74 247.04 -72.96 72.23 -32.23
12 20.16 18.28 21.02 -1.88 -0.86 76.33 -23.67 46 -7 269.22 -50.78 66.31 -26.31
13 20.11 18.26 21.00 -1.85 -0.89 64.6 -35.4 46.19 -6.81 227.85 -92.15 82.38 -42.38
14 19.89 18.04 20.74 -1.85 -0.85 69.02 -30.98 51.34 -1.66 243.44 -76.56 79.47 -39.47
15 17.8 16.13 18.55 -1.67 -0.75 62.58 -37.42 56.63 3.63 220.73 -99.27 43.89 -3.89
16 19.26 17.47 20.10 -1.79 -0.84 61.09 -38.91 38.44 -14.56 215.47 -104.53 82.55 -42.55
17 17.24 15.68 18.03 -1.56 -0.79 60.63 -39.37 62.65 9.65 213.85 -106.15 79.6 -39.6
Table 3 No. 1 well parameter combinations preferred result and relevant calculation of measured data
No. 1 well scheme optimization process result
Scheme number Stroke (m) Jig frequency (min -1) Pump footpath (mm) Pump dark (m) Producing fluid level (m) Daily output (t/d) Pump efficiency (%) Peak load (kN) Peak torque (kNm) Input power (kW) Effective power (kW) System effectiveness (%)
12 3 2.88 56 1444 1148 20.16 66.31 76.33 46 6.85 3.27 47.18
The systematic parameter combined result that No. 2 wells of table 4 are just selected
Sequence number Pump footpath (mm) Stroke (m) Jig frequency (min -1) Pump dark (m) Producing fluid level (m) Daily output (t/d) Pump efficiency (%) Peak load (kN) Peak torque (kNm) Input power (kW) Polished rod horsepower (kW) Effective power (kW) Surface efficiency (%) Down-hole efficient (%) System effectiveness (%)
1 38 2 9 1800 1005 21.08 75.5 70.79 26.78 9.96 5.75 2.68 57.7 52.05 30.03
2 38 2.5 7 1800 1009 21.41 78.9 70.58 35.2 9.63 5.38 2.53 55.89 54.48 30.45
3 38 3 6 1800 1025 22.64 81.1 71.59 45.07 10.51 5.71 2.73 54.35 55.51 30.17
4 38 2.5 2.5 1533 1024 22.53 76.4 64.75 33.15 7.92 4.74 2.67 59.85 65.33 39.1
5 44 2 8 1800 1029 23.01 69.1 73.03 27.21 9.39 5.61 2.97 59.74 58.25 34.8
6 44 2.5 6 1800 129 23.01 73.7 72.66 36 8.87 5.18 2.79 58.36 61.24 35.74
7 44 3 5 1800 1042 23.93 76.7 72.89 46.65 9.26 5.29 2.9 57.16 62.65 35.81
8 44 2 7 1533 1006 21.22 72.9 64.45 24.72 7.51 4.54 2.52 60.41 63.73 38.5
9 44 2.5 6 1533 1038 23.61 75.7 65.2 33.91 8.49 5.11 2.85 60.22 64.56 38.88
10 44 3 5 1533 1046 24.28 77.8 65.37 42.62 8.81 5.38 2.93 61.09 63.38 38.72
11 44 3 3 1533 1014 21.84 82.8 62.28 38.34 8.97 5.06 2.55 56.37 59.46 33.52
12 44 3 3 1533 1009 21.42 79.2 63.88 39.94 7.42 4.33 2.48 58.31 67.04 39.09
13 56 2 6 1800 1040 23.83 58.9 80.02 27.61 7.67 4.64 2.78 60.51 64.02 38.74
14 56 2.5 5 1800 1086 27.17 64.5 82.08 40.4 8.68 5.34 3.3 61.47 65.58 40.31
15 56 3 4 1800 1096 27.86 68.9 82.1 53.1 8.79 5.35 3.39 60.85 67.31 40.96
16 56 2 5 1533 1012 21.67 64.3 71.68 27.87 6.35 3.89 2.42 61.28 69.24 42.43
17 56 2.5 4 1533 1032 23.24 69 72.32 38.15 6.72 4.16 2.65 61.93 70.18 43.46
18 56 3 3 1533 1019 22.2 73.2 71.27 47.47 6.32 3.85 2.5 60.87 71.91 43.77
19 70 2.5 4 1200 1024 22.52 42.8 73.76 39.36 6.77 4.24 2.42 62.69 65.90 41.31
20 70 3 3 1200 1019 22.22 46.9 73.5 52.46 6.59 4.14 2.42 62.75 66.52 41.74
No. 2 wells of table 5 are by 6 constraints result of calculations
Sequence number Daily output (t/d) Qp (t/d) 1.15Qp (t/d) G(1) G(2) Peak load (kN) G(3) Peak torque (kNm) G(4) Roofbolt stress (MPa) G(5) Pump efficiency (%) G(6)
1 21.08 19.97 22.97 -1.11 -1.89 70.79 -29.21 26.78 -26.22 249.67 -70.33 75.49 -0.355
2 21.41 20.28 23.33 -1.13 -1.92 70.58 -29.42 35.20 -17.80 248.93 -71.07 78.85 -0.389
3 22.64 21.45 24.66 -1.19 -2.02 71.59 -28.41 45.07 -7.93 252.50 -67.50 81.05 -0.411
4 22.53 18.82 21.65 -3.71 0.88 64.75 -35.25 33.15 -19.85 228.37 -91.63 76.44 -0.364
5 23.01 21.79 25.06 -1.22 -2.05 73.03 -26.97 27.21 -25.79 257.58 -62.42 69.13 -0.291
6 23.01 21.79 25.06 -1.22 -2.05 72.66 -27.34 36.00 -17.00 256.27 -63.73 73.74 -0.337
7 23.93 22.66 26.06 -1.27 -2.13 72.89 -27.11 46.65 -6.35 257.08 -62.92 76.70 -0.367
8 21.22 20.09 23.11 -1.13 -1.89 64.45 -35.55 24.72 -28.28 227.31 -92.69 72.85 -0.329
9 23.61 22.35 25.71 -1.26 -2.10 65.20 -34.80 33.91 -19.09 229.96 -90.04 75.65 -0.357
10 24.28 22.99 26.44 -1.29 -2.16 65.37 -34.63 42.62 -10.38 230.56 -89.44 77.81 -0.378
11 21.84 23.77 27.34 1.93 -5.50 62.28 -37.72 38.34 -14.66 219.66 -100.34 82.80 -0.428
12 21.42 22.74 26.15 1.32 -4.73 63.88 -36.12 39.94 -13.06 225.30 -94.70 79.21 -0.392
13 23.83 22.56 25.94 -1.27 -2.11 80.02 -19.98 27.61 -25.39 282.23 -37.77 58.93 -0.189
14 27.17 25.72 29.58 -1.45 -2.41 82.08 -17.92 40.40 -12.60 289.49 -30.51 64.50 -0.245
15 27.86 26.37 30.32 -1.49 -2.46 82.10 -17.90 53.10 0.10 289.57 -30.43 68.88 -0.289
16 21.67 20.51 23.59 -1.16 -1.92 71.68 -28.32 27.87 -25.13 252.81 -67.19 64.30 -0.243
17 23.24 22.00 25.29 -1.24 -2.05 72.32 -27.68 38.15 -14.85 255.07 -64.93 68.95 -0.290
18 22.20 21.01 24.16 -1.19 -1.96 71.27 -28.73 47.47 -5.53 251.37 -68.63 73.19 -0.332
19 22.52 21.30 24.49 -1.22 -1.97 73.76 -26.24 39.36 -13.64 260.15 -59.85 42.77 -0.028
20 22.22 21.02 24.17 -1.20 -1.95 73.50 -26.50 52.46 -0.54 259.23 -60.77 46.89 -0.069
Table 6 No. 2 well parameter combinations preferred result and relevant calculation of measured data
No. 2 well scheme optimization process results
Scheme number Stroke (m) Jig frequency (min -1) Pump footpath (mm) Pump dark (m) Producing fluid level (m) Daily output (t/d) Pump efficiency (%) Peak load (kN) Peak torque (kNm) Input power (kW) Effective power (kW) System effectiveness (%)
18 3 3 56 1533 1019 22.2 73.2 71.27 47.47 6.32 3.85 43.77

Claims (2)

1, a kind of method for determining oil pumping machine well system parameter, choosing the oil well master data comprises: midpoint of pay zone, oil density, viscosity of crude, stroke, jig frequency, pump are dark, pump footpath, production fluid amount, moisture, oil pressure, casing pressure, oil pumper model and physical dimension, motor rated power; Sucker rod and oil pipe data comprise: roofbolt intensity, roofbolt progression, sucker rod diameter and length, tubing diameter; Carry out computational analysis according to above data, it is characterized in that:
1. calculate the sensitivity level of each parameter of rod-pumped well
By finding the solution the wave equation of band damping, calculate load on rod string, the pump plunger and displacement, effective power, polished rod horsepower, input power, surface efficiency, down-hole efficient, system effectiveness, and the numerical value of variable elements such as, sucker rod diameter dark and length, motor rated power based on the stroke of the current use of oil well, jig frequency, pump footpath, pump, by system effectiveness above-mentioned variable element is asked partial derivative, calculate the rate of change of these variable elements to system effectiveness, be sensitivity level, and sort by its order of magnitude;
2. according to the sensitivity level of variable element, adjust 3-5 variable element, carry out the swabbing parameter combination and calculate corresponding system effectiveness value, select a series of swabbing parameter combinations of system effectiveness greater than the current system effectiveness of oil well.
3. to satisfy following each bar simultaneously, in above-mentioned a series of swabbing parameter combinations, just select the swabbing parameter combination that meets constraints as constraints;
G ( 1 ) = Q p - 1440 A P Snα ≤ 0 G ( 2 ) = 1440 A P Snα - 1.15 Q p ≤ 0 G ( 3 ) = p max - [ p max ] ≤ 0 G ( 4 ) = M max - [ M max ] ≤ 0 G ( 5 ) = σ max - [ σ max ] ≤ 0 G ( 6 ) = 0.4 - α ≤ 0
Wherein:
Q PBe oil well target output, m 3/ d;
A pThe plunger sectional area, mm 2
The S stroke, m;
The n jig frequency, min -1
α pump coefficient of fullness, %;
P MaxOil pumper suspension point design peak load, kN;
[P Max] oil pumper permission peak load, kN;
M MaxReduction gearbox output shaft design peak torque, kNm;
[M Max] reduction gearbox output shaft permission peak torque, kNm;
σ MaxEvery grade pumping rod tip designs maximum stress, MPa;
[σ Max] every grade pumping rod top permission maximum stress, MPa;
4. from the first swabbing parameter assembled scheme of selecting of (3) step, optimize the most effective swabbing parameter combination of a group system.
2, a kind of method for determining oil pumping machine well system parameter according to claim 1, it is characterized in that: based on the one group of supplemental characteristic that is optimized, carrying out the sensitivity to parameter degree again calculates, draw the rate of change of these parameters to system efficiency of pumping well, sort by its order of magnitude, and and the former sensitivity to parameter degree that calculates compare, if the rate of change of the pairing system efficiency of pumping well of adjusting of parameter has diminished after adjustment, the result that this parameter adjustment then is described is rational.
CNB2005100842547A 2005-07-19 2005-07-19 Method for determining system parameters of rod-pumped well Expired - Fee Related CN100513738C (en)

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