CN108920830B - Method for determining influence factors of pumping efficiency of pumping well - Google Patents

Method for determining influence factors of pumping efficiency of pumping well Download PDF

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CN108920830B
CN108920830B CN201810718251.1A CN201810718251A CN108920830B CN 108920830 B CN108920830 B CN 108920830B CN 201810718251 A CN201810718251 A CN 201810718251A CN 108920830 B CN108920830 B CN 108920830B
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pumping
well
pump
efficiency
unit
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CN108920830A (en
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付亚荣
吴勇
杨中峰
马永忠
周俊
莫满军
付丽霞
和改英
李小永
付茜
李冬青
焦立芳
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Petrochina Co Ltd
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • EFIXED CONSTRUCTIONS
    • E21EARTH DRILLING; MINING
    • E21BEARTH DRILLING, e.g. DEEP DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
    • E21B43/00Methods or apparatus for obtaining oil, gas, water, soluble or meltable materials or a slurry of minerals from wells

Abstract

The invention discloses a method for determining pump efficiency influence factors of an oil pumping well, and belongs to the technical field of oil extraction in oil fields. The method comprises the steps of establishing a first pumping well pumping effect mathematical model of actual pumping well pumping effect and pumping well pumping effect influence factors, fitting a second pumping well pumping effect mathematical model of the pumping well pumping effect and pumping well pumping effect influence factors, and selecting the fitting model to fit the pumping well pumping effect influence factors with the pumping well pumping effect respectively. And calculating the residual square sum of the actual pumping well pump effect and the fitted pumping well pump effect according to the fitted linear equation, and deducing a fitted model matrix. Actual pump efficiency data of the pumping well are obtained and substituted into the fitting model matrix to obtain a numerical value corresponding to the fitting coefficient to be determined, and then the relational expression between the pumping well pump efficiency influence factors and the pumping well pump efficiency is accurately determined, so that an accurate theoretical basis is provided for oil extraction engineering scheme design, and the purposes of improving the pumping well pump efficiency and reducing the natural degradation rate can be achieved.

Description

Method for determining influence factors of pumping efficiency of pumping well
Technical Field
The invention relates to the technical field of oil extraction in oil fields, in particular to a method for determining influence factors of pumping efficiency of an oil pumping well.
Background
Improving pumping efficiency of a pumping well is one of effective measures for slowing down natural degradation rate of an oil field, and factors influencing pumping efficiency of the pumping well comprise: pump depth, pump diameter, working fluid level, pumping unit stroke frequency, crude oil viscosity, crude oil density, daily liquid yield, daily oil yield, water content, maximum load of a suspension point of the pumping unit, minimum load of the suspension point of the pumping unit, maximum current of the pumping unit in an uplink direction, maximum current of the pumping unit in a downlink direction and the like. Wherein: the pump depth, the pump diameter, the working fluid level, the stroke of the pumping unit, the stroke frequency of the pumping unit, the viscosity of crude oil and the like are factors mainly considered by the daily liquid yield according to the geological scheme in the design of oil extraction engineering, but in actual work, technical personnel mainly design through speaking and teaching, and certain limitations exist.
In the related art, "major component analysis method of pumping well pump efficiency influencing factors" published in "university of petroleum in southwest," journal of natural sciences "(proceedings of the nature science) 33, 5 th by zhang et al, 2011 10 months, in order to scientifically determine the primary and secondary relationships of each factor and avoid the deviation caused by subjective randomness, a major component analysis method is adopted to analyze a plurality of factors influencing the pumping well pump efficiency. Selecting 16 original indexes, calculating by using SPSS analysis software, extracting 7 main components from the original indexes, and comprehensively analyzing to show that: formation energy, reservoir conditions, crude oil properties, production parameters, well trajectory, tubing pump matching, and pumping unit balance are the primary factors.
The article "technical measure for improving the pump efficiency of an underground oil well pump" published in 2017 of "chemical engineering and equipment" at the 2 nd stage of "zhangxinglong" indicates that in order to improve the pump efficiency of an oil well pump, factors influencing the pump efficiency of the oil well pump are analyzed, and corresponding solutions are adopted, so that the pump efficiency of the oil well pump is improved, the efficiency of an oil pumping system is ensured, and the purpose of improving the economic benefit of oil field development is achieved.
The 'analysis on how to improve the pumping well pump efficiency' published in 6 th phase of China petrochemistry in 2017 by Shengdi starts from the actual situation, and the specific reasons for the reduction of the pumping well pump efficiency are analyzed by combining the past working experience, and corresponding improvement measures are provided to improve the pumping well pump efficiency.
The inventors found that the related art has at least the following problems:
the method provided in the related art does not fully and accurately determine the factors influencing the pumping efficiency of the pumping well from the oil extraction engineering design, so the effect of improving the pumping efficiency of the pumping well is poor.
Disclosure of Invention
The embodiment of the invention provides a method for determining influence factors of pumping efficiency of an oil pumping well, which can solve the technical problems. The specific technical scheme is as follows:
the embodiment of the invention provides a method for determining influence factors of pumping efficiency of an oil pumping well, which comprises the following steps:
establishing a mathematical model
According to a plurality of actual pumping well pump effects of a target oil field and a plurality of actual pumping well pump effect influence factors, establishing a first pumping well pump effect mathematical model as follows:
Yi=f(x1,x2,x3,……,xm;a0,a1,a2,……,an) (1)
wherein, YiThe pump efficiency of the actual pumping well of the ith pumping well is 1,2,3 and … … m; x is the number of1,x2,x3,……,xmFor m actual pumping well pump efficiency influencing factors, a0,a1,a2,……,anN +1 undetermined fitting coefficients;
according to said a0,a1,a2,……,ann +1 undetermined fitting coefficients and xi1,xi2,xi3,……,ximm fitting pumping well pumping effect influence factors, and establishing a second pumping well pumping effect mathematical model as follows:
Yi′=f(xi1,xi2,xi3,……,xim;a0,a1,a2,……,an) (2)
wherein, Y'iFitting the pumping well pump efficiency of the ith pumping well;
(II) establishing a fitting model
According to the design of oil extraction engineering, determining the influence factors of the pumping efficiency of the pumping well comprises the following steps: pump depth, pump diameter, working fluid level, pumping unit stroke and pumping unit stroke frequency;
and (3) fitting the pump depth, the pump diameter, the working fluid level, the stroke of the pumping unit and the stroke frequency of the pumping unit with the actual pumping efficiency of the pumping unit well respectively by using a fitting model:
Figure GDA0003024715960000021
wherein j is 1,2, … …, n, xjRepresenting the corresponding numerical value of the pump depth, the pump diameter, the working fluid level, the stroke of the pumping unit or the stroke frequency of the pumping unit of the jth pumping well; y is the pumping well pumping efficiency of the pumping well;
xi=xj;ai=aj;i=0,1,2,……,n;
converting the fitted model (3) into a linear equation (4):
Figure GDA0003024715960000031
and according to the linear equation (4), calculating the residual square sum of the actual pumping well pumping effect of the ith pumping well and the pump effect of the fitting pumping well:
Figure GDA0003024715960000032
the normal system of equations that minimizes S is as follows:
Figure GDA0003024715960000033
the system of equations (7) is obtained after simplification:
Figure GDA0003024715960000034
wherein k is 1,2,3, …, n, k represents the k parameter of the ith pumping well which is actually measured;
establishing x in the equation set (7)iMatrix of increments, resulting in a fitted model matrix (8):
Figure GDA0003024715960000035
(III) acquiring the pumping efficiency data of the pumping well
The pumping efficiency of the pumping well is obtained by the formula (9):
Figure GDA0003024715960000041
wherein eta is the pumping efficiency of the pumping well; q is the daily actual production of the rod-pumped well in m3D; d is the pump diameter, and the unit is m; s is the stroke of the pumping unit and has the unit of m; t is the stroke frequency of the oil pumping unit, and the unit is times/min;
measuring by using an echo meter on site to obtain the working fluid level, wherein the unit is m; acquiring the pump depth according to an oil extraction engineering scheme, wherein the unit is m;
(IV) determining the influence factors of the pumping efficiency of the pumping well
Respectively substituting numerical values corresponding to the working fluid level, the pump depth, the pump diameter, the stroke of the oil pumping unit, the stroke frequency of the oil pumping unit and the pump efficiency of the oil pumping unit into the fitting model matrix (8) to obtain a corresponding to the working fluid level, the pump depth, the diameter of a plunger of the oil pumping unit, the stroke of the oil pumping unit and the stroke frequency of the oil pumping unit0,a1,a2,……,anThe actual value of (c);
respectively corresponding the working fluid level, the pump depth, the pump diameter, the stroke of the oil pumping unit and the stroke frequency of the oil pumping unit to a0,a1,a2,……,anIs divided intoRespectively substituting the fitting model (3) and the linear equation (4) to respectively obtain a first relational expression between the pumping well pumping effect and the working fluid level, a second relational expression between the pumping well pumping effect and the pumping depth, a third relational expression between the pumping well pumping effect and the pumping diameter, a fourth relational expression between the pumping well pumping effect and the pumping stroke and a fifth relational expression between the pumping well pumping effect and the pumping stroke frequency;
and determining the pumping efficiency influence factors of the pumping well according to the first relational expression, the second relational expression, the third relational expression and the fourth relational expression.
The technical scheme provided by the embodiment of the invention has the beneficial effects that at least:
according to the method for determining the pumping well pump effect influence factors, provided by the embodiment of the invention, the linear equation (4) is obtained by establishing the actual pumping well pump effect, a first pumping well pump effect mathematical model of the actual pumping well pump effect influence factors, establishing a fitting pumping well pump effect, and a second pumping well pump effect mathematical model of the fitting pumping well pump effect influence factors, and selecting the fitting model (3) to fit the pump depth, the pump diameter, the working fluid level, the pumping unit stroke and the pumping unit stroke frequency with the pumping well pump effect respectively. And according to the linear equation (4), calculating the residual square sum of the actual pumping well pumping effect and the fitting pumping well pumping effect, and deducing a fitting model matrix (8). Acquiring actual pump efficiency data of the pumping well: the method comprises the steps of obtaining values corresponding to undetermined fitting coefficients by respectively substituting the values corresponding to the undetermined fitting coefficients into a fitting model matrix (8), and further determining relational expressions between the working fluid level, the pump depth, the pump diameter, the stroke of the pumping unit and the stroke frequency of the pumping unit and the pumping unit, namely accurately determining all factors influencing the pumping efficiency of the pumping unit well, providing an accurate theoretical basis for oil extraction engineering scheme design, and achieving the purposes of improving the pumping efficiency of the pumping unit well and reducing the natural degradation rate.
Detailed Description
Unless defined otherwise, all technical terms used in the examples of the present invention have the same meaning as commonly understood by one of ordinary skill in the art. In order to make the objects, technical solutions and advantages of the present invention more apparent, embodiments of the present invention will be described in further detail below.
The embodiment of the invention provides a method for determining influence factors of pumping efficiency of an oil pumping well, which comprises the following steps:
step 101, establishing a mathematical model
According to a plurality of actual pumping well pump effects of a target oil field and a plurality of actual pumping well pump effect influence factors, establishing a first pumping well pump effect mathematical model as follows:
Yi=f(x1,x2,x3,……,xm;a0,a1,a2,……,an) (1)
wherein, YiThe pump efficiency of the actual pumping well of the ith pumping well is 1,2,3 and … … m; x is the number of1,x2,x3,……,xmFor m actual pumping well pump efficiency influencing factors, a0,a1,a2,……,anN +1 to-be-determined fitting coefficients.
According to a0,a1,a2,……,ann +1 undetermined fitting coefficients and xi1,xi2,xi3,……,ximm fitting pumping well pumping effect influence factors, and establishing a second pumping well pumping effect mathematical model as follows:
Yi′=f(xi1,xi2,xi3,……,xim;a0,a1,a2,……,an) (2)
wherein, Y'iAnd fitting the pumping efficiency of the pumping well for the ith pumping well.
Step 102, establishing a fitting model
According to the design of oil extraction engineering, determining the influence factors of the pump efficiency of a plurality of pumping wells comprises the following steps: pump depth, pump diameter, working fluid level, pumping unit stroke frequency.
And (3) fitting the pump depth, the pump diameter, the working fluid level, the stroke of the pumping unit and the stroke frequency of the pumping unit with the actual pumping efficiency of the pumping unit well respectively by using a fitting model:
Figure GDA0003024715960000051
wherein j is 1,2, … …, n, j represents j pumping well, xjRepresenting the corresponding numerical value of the pump depth, the pump diameter, the working fluid level, the stroke of the pumping unit or the stroke frequency of the pumping unit of the jth pumping well; y is the pumping well pumping efficiency of the pumping well; x is the number ofi=xj;ai=aj;i=0,1,2,……,n。
The fitted model (3) is converted into linear equation (4):
Figure GDA0003024715960000061
and (3) calculating the residual square sum of the actual pumping well pump effect of the ith pumping well and the pump effect of the fitting pumping well according to a linear equation (4):
Figure GDA0003024715960000062
the normal system of equations that minimizes S is as follows:
Figure GDA0003024715960000063
the system of equations (7) is obtained after simplification:
Figure GDA0003024715960000064
where k is 1,2,3, …, n, k represents the k parameter of the ith pumping well actually measured. The kth parameter may be a pump depth, or a pump diameter, or a working fluid level, or a pumping unit stroke number of the kth pumping well.
Establishing x in equation set (7)iMatrix of increments, resulting in a fitted model matrix (8):
Figure GDA0003024715960000065
step 103, obtaining pumping efficiency data of the pumping well
The pumping efficiency of the pumping well is obtained by the formula (9):
Figure GDA0003024715960000071
wherein eta is the pumping efficiency of the pumping well; q is the daily actual production of the rod-pumped well in m3D; d is the diameter of the oil pump plunger and the unit is m; s is the stroke of the pumping unit and has the unit of m; t is the stroke frequency of the oil pumping unit, and the unit is times/min.
Measuring by using an echo meter on site to obtain the working fluid level, wherein the unit is m; the pump depth is obtained according to the oil extraction engineering scheme, and the unit is m.
104, determining the influence factors of the pumping efficiency of the pumping well
Respectively substituting numerical values corresponding to the working fluid level, the pump depth, the pump diameter, the stroke of the oil pumping unit, the stroke frequency of the oil pumping unit and the pump efficiency of the oil pumping unit into a fitting model matrix (8) to obtain a corresponding to the working fluid level, the pump depth, the diameter of a plunger of the oil pumping unit, the stroke of the oil pumping unit and the stroke frequency of the oil pumping unit0,a1,a2,……,anThe actual value of (c);
respectively corresponding the working fluid level, the pump depth, the diameter of the plunger of the oil well pump, the stroke of the oil well pump and the stroke frequency of the oil well pump to a0,a1,a2,……,anRespectively substituting the actual numerical values into the fitting model (3) and the linear equation (4) to respectively obtain a first relational expression between the pumping efficiency and the working fluid level of the pumping well, a second relational expression between the pumping efficiency and the pumping depth of the pumping well and a third relational expression between the pumping efficiency and the diameter of the plunger of the oil well pumpThe fourth relation between the pumping efficiency of the pumping unit and the stroke of the pumping unit, and the fifth relation between the pumping efficiency of the pumping unit and the stroke frequency of the pumping unit.
And determining the influence factors of the pumping efficiency of the oil pumping well according to the first relational expression, the second relational expression, the third relational expression and the fourth relational expression.
According to the method for determining the pumping well pump effect influence factors, provided by the embodiment of the invention, the linear equation (4) is obtained by establishing the actual pumping well pump effect, a first pumping well pump effect mathematical model of the actual pumping well pump effect influence factors, establishing a fitting pumping well pump effect, and a second pumping well pump effect mathematical model of the fitting pumping well pump effect influence factors, and selecting the fitting model (3) to fit the pump depth, the pump diameter, the working fluid level, the pumping unit stroke and the pumping unit stroke frequency with the pumping well pump effect respectively. And according to the linear equation (4), calculating the residual square sum of the actual pumping well pumping effect and the fitting pumping well pumping effect, and deducing a fitting model matrix (8). Acquiring actual pump efficiency data of the pumping well: the method comprises the steps of obtaining values corresponding to undetermined fitting coefficients by respectively substituting the values corresponding to the undetermined fitting coefficients into a fitting model matrix (8), and further determining relational expressions between the working fluid level, the pump depth, the pump diameter, the stroke of the pumping unit and the stroke frequency of the pumping unit and the pumping unit, namely accurately determining all factors influencing the pumping efficiency of the pumping unit well, providing an accurate theoretical basis for oil extraction engineering scheme design, and achieving the purposes of improving the pumping efficiency of the pumping unit well and reducing the natural degradation rate.
In the embodiment of the invention, the diameter of the plunger of the oil well pump can be abbreviated as pump diameter.
The daily actual production of the rod-pumped well is obtained by measuring the oil. The stroke and the stroke frequency of the pumping unit are obtained by setting parameters of the pumping unit on site.
In step 102, the equation system (6) is obtained by minimizing S, so that accurate fitting coefficients can be obtained later. The smaller the value of S is, the higher the accuracy is.
The present invention will be further described below by way of specific examples.
Example 1
The embodiment provides a method for determining pumping well pumping effect influence factors, which is used for determining the pumping well pumping effect influence factors in an X area and specifically comprises the following steps:
step 1, establishing a mathematical model
According to the actual pumping well pump efficiency of 30 oil wells in the X area and a plurality of actual pumping well pump efficiency influence factors, establishing a first pumping well pump efficiency mathematical model as follows:
Yi=f(x1,x2,x3,……,xm;a0,a1,a2,……,an) (1)
wherein, YiThe actual pumping well pumping efficiency of the ith pumping well, i is 1,2,3, … … 30; x is the number of1,x2,x3,……,xmFor m actual pumping well pump efficiency influencing factors, a0,a1,a2,……,anN +1 to-be-determined fitting coefficients. Wherein m-n-30.
According to a0,a1,a2,……,ann +1 undetermined fitting coefficients and m fitting pumping well pumping effect influence factors, and establishing a second pumping well pumping effect mathematical model as follows:
Yi′=f(xi1,xi2,xi3,……,xim;a0,a1,a2,……,an) (2)
wherein, Y'iFitting pumped well pump efficiency x for ith pumped welli1,xi2,xi3,……,xim
Step 2, establishing a fitting model
According to the design of oil extraction engineering, determining the influence factors of the pump efficiency of a plurality of pumping wells comprises the following steps: pump depth, pump diameter, working fluid level, pumping unit stroke and pumping unit stroke frequency;
and (3) fitting the pump depth, the pump diameter, the working fluid level, the stroke of the pumping unit and the stroke frequency of the pumping unit with the actual pumping efficiency of the pumping unit well respectively by using a fitting model:
Figure GDA0003024715960000081
wherein j is 1,2, … …, 30, j represents j pumping well, xjRepresenting the corresponding numerical value of the pump depth, the pump diameter, the working fluid level, the stroke of the pumping unit or the stroke frequency of the pumping unit of the jth pumping well; y is the pumping well pumping efficiency of the pumping well; x is the number ofi=xj;ai=aj;i=0,1,2,……,30;
The fitted model (3) is converted into linear equation (4):
Figure GDA0003024715960000091
and (3) calculating the sum of squares of residuals of the actual pumping well pumping effect and the fitted pumping well pumping effect according to a linear equation (4):
Figure GDA0003024715960000092
the normal system of equations that minimizes S is as follows:
Figure GDA0003024715960000093
the system of equations (7) is obtained after simplification:
Figure GDA0003024715960000094
wherein k is 1,2,3, …, 30, and k represents the k parameter of the ith pumping well actually measured;
establishing a matrix of increments in the equation set (7) to obtain a fitted model matrix (8) to obtain a fitted model matrix:
Figure GDA0003024715960000101
step 3, obtaining pumping efficiency data of the pumping well
The pumping efficiency of the pumping well is obtained by the formula (9):
Figure GDA0003024715960000102
wherein eta is the pumping efficiency of the pumping well; q is the daily actual production of the rod-pumped well in m3D, obtained by passing oil; d is the pump diameter, and the unit is m; s is the stroke of the pumping unit, the unit is m, and the stroke is obtained through the set parameters of the pumping unit; t is the stroke frequency of the oil pumping unit, the unit is time/min, and the T is obtained through the set parameters of the oil pumping unit; theoretical displacement of oil pump of oil pumping well is Q1=360πd2ST,m3/d。
In addition, the working fluid level is measured by an echo meter on site, and the unit is m; the pump depth is obtained according to the oil extraction engineering scheme and the unit is m.
The specific parameters mentioned above can be seen in table 1.
TABLE 1
Figure GDA0003024715960000103
Figure GDA0003024715960000111
Step 4, determining the influence factors of the pumping efficiency of the pumping well
Substituting the corresponding numerical values of the pumping well pump efficiency and the working fluid level obtained in the table 1 into a fitting model matrix (8) for evaluation to obtain undetermined fitting coefficients related to the pumping well pump efficiency and the working fluid level, a0=0.41;a1=0.16;a2=-0.24;a3=0;a4=0.0012。
Then, a is mixed0=0.41;a1=0.16;a2=-0.24;a3=0;a4Substituting the fitting model (3) and the linear equation (4) with the value of 0.0012, and determining the relation between the pumping efficiency of the pumping well and the working fluid level as follows:
Figure GDA0003024715960000112
substituting the corresponding values of the pumping well pump efficiency and the pump depth obtained in the table 1 into a fitting model matrix (8) for evaluation to obtain undetermined fitting coefficients a related to the pumping well pump efficiency and the pump depth0=0.36;a1=0.11;a2=-0.48;a3=-0.09;a4=0.0007。
Then, a is mixed0=0.36;a1=0.11;a2=-0.48;a3=-0.09;a4Substituting the fitting model (3) and the linear equation (4) for 0.0007, and determining the relation between the pumping efficiency and the pumping depth of the oil pumping well as the following formula:
Figure GDA0003024715960000121
substituting the corresponding numerical values of the pumping well pump efficiency and the pump diameter obtained in the table 1 into a fitting model matrix (8) for evaluation to obtain undetermined fitting coefficients, a, related to the pumping well pump efficiency and the pump diameter0=0.029;a1=0.019;a2=-0.034;a3=-0.0012;a4=0.0028。
Then, a is mixed0=0.029;a1=0.019;a2=-0.034;a3=-0.0012;a4Substituting the fitting model (3) and the linear equation (4) with the value of 0.0028, and determining the relation between the pumping well pumping efficiency and the pumping diameter as follows:
Figure GDA0003024715960000122
substituting the corresponding numerical values of the pumping well pump efficiency and the pumping unit stroke obtained in the table 1 into a fitting model matrix (8) for evaluation to obtain undetermined fitting coefficients, a, related to the pumping well pump efficiency and the pumping unit stroke0=0.011;a1=0.006;a2=-0.016;a3=-0.0002;a4=0.0021。
Then, a is mixed0=0.011;a1=0.006;a2=-0.016;a3=-0.0002;a4Substituting the fitting model (3) and the linear equation (4) with the value of 0.0021, and determining the relation between the pumping efficiency of the pumping well and the stroke of the pumping unit as follows:
Figure GDA0003024715960000123
substituting the corresponding values of the pumping well pump efficiency and the pumping unit stroke frequency obtained in the table 1 into a fitting model matrix (8) for evaluation to obtain an undetermined fitting coefficient, a, related to the pumping well pump efficiency and the pumping unit stroke frequency0=0.015;a1=0.005;a2=-0.018;a3=-0.0007;a4=0.0028。
Then, a is mixed0=0.015;a1=0.005;a2=-0.018;a3=-0.0007;a4Substituting the fitting model (3) and the linear equation (4) with the value of 0.0028, and determining the relation between the pumping efficiency of the pumping unit and the stroke frequency of the pumping unit as follows:
Figure GDA0003024715960000124
according to the formula (10), the formula (11), the formula (12), the formula (13) and the formula (14), the influences of the working fluid level, the pump depth, the pump diameter, the pumping unit stroke and the pumping unit stroke frequency on the pumping efficiency of the pumping unit well can be accurately determined, a theoretical basis is provided for the design of an oil extraction engineering scheme, and the purposes of improving the pumping efficiency of the pumping unit well and reducing the natural degradation rate can be achieved.
The method is applied to more than 500 wells on site, and the effective rate reaches 100%.
The above description is only an illustrative embodiment of the present invention, and should not be taken as limiting the scope of the invention, and any modifications, equivalents, improvements and the like that are within the spirit and principle of the present invention should be included in the scope of the present invention.

Claims (1)

1. A method for determining pump efficiency influencing factors of a rod-pumped well, the method comprising:
establishing a mathematical model
According to a plurality of actual pumping well pump effects of a target oil field and a plurality of actual pumping well pump effect influence factors, establishing a first pumping well pump effect mathematical model as follows:
Yi=f(x1,x2,x3,……,xm;a0,a1,a2,……,an) (1)
wherein, YiThe pump efficiency of the actual pumping well of the ith pumping well is 1,2,3 and … … m; x is the number of1,x2,x3,……,xmFor m actual pumping well pump efficiency influencing factors, a0,a1,a2,……,anN +1 undetermined fitting coefficients;
according to said a0,a1,a2,……,ann +1 undetermined fitting coefficients and xi1,xi2,xi3,……,ximm fitting pumping well pumping effect influence factors, and establishing a second pumping well pumping effect mathematical model as follows:
Yi′=f(xi1,xi2,xi3,……,xim;a0,a1,a2,……,an) (2)
wherein, Yi' is the pump efficiency of the fitting pumping well of the ith pumping well;
(II) establishing a fitting model
According to the design of oil extraction engineering, determining the influence factors of the pumping efficiency of the pumping well comprises the following steps: pump depth, pump diameter, working fluid level, pumping unit stroke and pumping unit stroke frequency;
and (3) fitting the pump depth, the pump diameter, the working fluid level, the stroke of the pumping unit and the stroke frequency of the pumping unit with the actual pumping efficiency of the pumping unit well respectively by using a fitting model:
Figure FDA0003024715950000011
wherein j is 1,2, … …, n, j represents j pumping well, xjRepresenting the corresponding numerical value of the pump depth, the pump diameter, the working fluid level, the stroke of the pumping unit or the stroke frequency of the pumping unit of the jth pumping well; y is the pumping well pumping efficiency of the pumping well; x is the number ofi=xj;ai=aj;i=0,1,2,……,n;
Converting the fitted model (3) into a linear equation (4):
Figure FDA0003024715950000012
and according to the linear equation (4), calculating the residual square sum of the actual pumping well pumping effect of the ith pumping well and the pump effect of the fitting pumping well:
Figure FDA0003024715950000013
the normal system of equations that minimizes S is as follows:
Figure FDA0003024715950000021
the system of equations (7) is obtained after simplification:
Figure FDA0003024715950000022
wherein k is 1,2,3, …, n, k represents the k parameter of the ith pumping well which is actually measured;
establishing x in the equation set (7)iMatrix of increments, resulting in a fitted model matrix (8):
Figure FDA0003024715950000023
(III) acquiring the pumping efficiency data of the pumping well
The pumping efficiency of the pumping well is obtained by the formula (9):
Figure FDA0003024715950000024
wherein eta is the pumping efficiency of the pumping well; q is the daily actual production of the rod-pumped well in m3D; d is the pump diameter, and the unit is m; s is the stroke of the pumping unit and has the unit of m; t is the stroke frequency of the oil pumping unit, and the unit is times/min;
measuring by using an echo meter on site to obtain the working fluid level, wherein the unit is m; acquiring the pump depth according to an oil extraction engineering scheme, wherein the unit is m;
(IV) determining the influence factors of the pumping efficiency of the pumping well
Respectively substituting numerical values corresponding to the working fluid level, the pump depth, the pump diameter, the stroke of the oil pumping unit, the stroke frequency of the oil pumping unit and the pump efficiency of the oil pumping unit into the fitting model matrix (8) to obtain a corresponding to the working fluid level, the pump depth, the diameter of a plunger of the oil pumping unit, the stroke of the oil pumping unit and the stroke frequency of the oil pumping unit0,a1,a2,……,anThe actual value of (c);
respectively corresponding the working fluid level, the pump depth, the diameter of the plunger of the oil well pump, the stroke of the oil well pump and the stroke frequency of the oil well pump to a0,a1,a2,……,anRespectively substituting the actual numerical values into the fitting model (3) and the linear equation (4) to respectively obtain a first relational expression between the pumping efficiency and the working fluid level of the pumping well and a first relational expression between the pumping efficiency and the pumping depth of the pumping wellA second relational expression, a third relational expression between the pumping efficiency and the pumping diameter of the pumping unit, a fourth relational expression between the pumping efficiency and the stroke of the pumping unit, and a fifth relational expression between the pumping efficiency and the stroke frequency of the pumping unit;
and determining the pumping efficiency influence factors of the pumping well according to the first relational expression, the second relational expression, the third relational expression and the fourth relational expression.
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