CN109138983B - Pumping displacement calculation method and device and computer storage medium - Google Patents

Pumping displacement calculation method and device and computer storage medium Download PDF

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Publication number
CN109138983B
CN109138983B CN201810802856.9A CN201810802856A CN109138983B CN 109138983 B CN109138983 B CN 109138983B CN 201810802856 A CN201810802856 A CN 201810802856A CN 109138983 B CN109138983 B CN 109138983B
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tool string
pumping
annular gap
shaft
formula
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CN109138983A (en
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徐晶
张晓文
赵旭亮
于雷
赵江利
陈辽望
宋宁
何正彪
肖昌
罗凯文
丁磊
田野
陈悦
吕春柳
陈莹
谢昕
王记锋
戚勇
余婧
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Petrochina Co Ltd
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    • E—FIXED CONSTRUCTIONS
    • E21—EARTH DRILLING; MINING
    • E21B—EARTH DRILLING, e.g. DEEP DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
    • E21B47/00—Survey of boreholes or wells
    • E21B47/008—Monitoring of down-hole pump systems, e.g. for the detection of "pumped-off" conditions

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Abstract

The application discloses a pumping displacement calculation method and device and a computer storage medium. The method for calculating the pumping capacity of the horizontal well pumping tool comprises the following steps: acquiring pumping tool string parameters and horizontal well parameters; determining an annular gap type between the pumping tool string and the horizontal well bore; and calculating the total pumping displacement according to a pumping displacement calculation formula corresponding to the annular gap type. The pumping displacement calculation method, the pumping displacement calculation device and the computer storage medium can obtain accurate pumping displacement.

Description

Pumping displacement calculation method and device and computer storage medium
Technical Field
The application relates to the technical field of oil exploitation, in particular to a pumping displacement calculation method and device and a computer storage medium.
Background
The horizontal well pumping tool is widely applied in practical production, but most of pumping displacement is determined by experience, the existing calculation method has a single formula, the consideration factors are few, and the influence factors influencing the pumping displacement and the interaction of the influence factors cannot be accurately described, so that the accurate pumping displacement cannot be obtained.
Disclosure of Invention
In view of the shortcomings of the prior art, the present application aims to provide a pumping displacement calculation method, a device thereof and a computer storage medium, so as to obtain accurate pumping displacement.
The technical scheme of the application is as follows:
a method for calculating pumping capacity of a horizontal well pumping tool comprises the following steps:
acquiring pumping tool string parameters and horizontal well parameters;
determining an annular gap type between the pumping tool string and the horizontal well bore;
and calculating the total pumping displacement according to a pumping displacement calculation formula corresponding to the annular gap type.
As a preferred embodiment, the pumping tool parameters include: pumping tool string mass; the outer diameter of the front end of the pumping tool string; a pumping tool string front end length; the outer diameter of the rear end of the pumping tool string; a pumping tool string rear length; the friction coefficient of the pumping tool string and the wall of the horizontal well; cable head diameter; the vertical depth of the pumping tool string; the well depth where the pumping tool string is located; pumping tool string lowering speed.
As a preferred embodiment, the horizontal well parameters include: wellbore fluid density; a well inclination angle; wellbore hydrokinetic viscosity coefficient; the inside diameter of the wellbore; wellhead pressure.
As a preferred embodiment, the annular gap type is determined according to a predetermined rule according to the ratio of the annular gap size to the inner diameter of the well bore; wherein, the ratio of the annular gap size to the shaft bore diameter is calculated by adopting the following formula:
Figure GDA0003393715680000021
wherein tau is the ratio of the size of the annular gap to the inner diameter of the shaft, and is dimensionless; phi is the inner diameter of the shaft, m; phi is a1Is the outer diameter of the front end of the tool string, m.
As a preferred embodiment, the predetermined rule is: when tau is less than or equal to 0.05, the annular gap type is a small gap type, and when tau is more than 0.05 and less than or equal to 0.1, the annular gap type is a large gap type.
As a preferred embodiment, the pumping capacity calculation formula corresponding to the small gap type is as follows:
γq is smallQb＝γv is smallvb+γ
In the formula, the raw materials are shown in the specification,
Figure GDA0003393715680000022
Figure GDA0003393715680000023
Figure GDA0003393715680000024
wherein Q isbFor total pumping capacity, m3S; m is the mass of the tool string, kg; g is gravity acceleration, m/s2(ii) a Rho is the density of the liquid in the shaft in kg/m3；φ1The outer diameter of the front end of the tool string is m; l is1Is the length of the front end of the tool string, m; phi is a2The outer diameter of the rear end of the tool string is m; l is2Is the length of the rear end of the tool string, m; α is the well angle, deg; mu.sμIs the hydrodynamic viscous coefficient of the shaft, Pa.s; phi is aIs the wellbore inner diameter, m; v. ofbThe tool string lowering speed is m/s; dCIs the cable head diameter, m; pjkIs wellhead pressure, Pa; h is the vertical depth m of the tool string; l is the well depth, m, of the tool string.
As a preferred embodiment, the pumping capacity calculation formula corresponding to the large gap type is as follows:
γq is largeQb＝γv is largevb+γ
In the formula, the compound is shown in the specification,
Figure GDA0003393715680000031
Figure GDA0003393715680000032
Figure GDA0003393715680000033
wherein Q isbFor total pumping capacity, m3S; m is the mass of the tool string, kg; g is the acceleration of gravity, m/s2(ii) a Rho is the density of the liquid in the shaft in kg/m3；φ1The outer diameter of the front end of the tool string is m; l is1Is the length of the front end of the tool string, m; phi is a2The outer diameter of the rear end of the tool string is m; l is2Is the length of the rear end of the tool string, m; α is the well angle, deg; mu.sμIs the hydrodynamic viscous coefficient of the shaft, Pa.s; phi is the inner diameter of the shaft, m; v. ofbThe tool string lowering speed is m/s; dCIs the cable head diameter, m; pjkIs wellhead pressure, Pa; h is the vertical depth m of the tool string; l is the well depth, m, of the tool string.
A horizontal well pumping tool pumping displacement calculation device comprising:
the acquisition module is used for acquiring pumping tool string parameters and horizontal well parameters;
a determination module for determining a type of annular gap between the pumping tool string and the horizontal well bore;
and the calculation module is used for calculating the total pumping displacement according to the pumping displacement calculation formula corresponding to the annular gap type.
As a preferred embodiment, the pumping tool parameters include: pumping tool string mass; the outer diameter of the front end of the pumping tool string; a pumping tool string front end length; the outer diameter of the rear end of the pumping tool string; a pumping tool string rear length; the friction coefficient of the pumping tool string and the wall of the horizontal well; cable head diameter; the vertical depth of the pumping tool string; the well depth where the pumping tool string is located; pumping tool string lowering speed.
As a preferred embodiment, the horizontal well parameters include: wellbore fluid density; a well inclination angle; wellbore hydrokinetic viscosity coefficient; the inside diameter of the wellbore; wellhead pressure.
As a preferred embodiment, the annular gap type is determined according to a predetermined rule according to the ratio of the annular gap size to the inner diameter of the well bore; wherein, the ratio of the annular gap size to the shaft bore diameter is calculated by adopting the following formula:
Figure GDA0003393715680000041
wherein tau is the ratio of the size of the annular gap to the inner diameter of the shaft, and is dimensionless; phi is the inner diameter of the shaft, m; phi is a1Is the outer diameter of the front end of the tool string, m.
As a preferred embodiment, the predetermined rule is: when tau is less than or equal to 0.05, the annular gap type is a small gap type, and when tau is more than 0.05 and less than or equal to 0.1, the annular gap type is a large gap type.
As a preferred embodiment, the pumping capacity calculation formula corresponding to the small gap type is as follows:
γq is smallQb＝γv is smallvb+γ
In the formula, the compound is shown in the specification,
Figure GDA0003393715680000042
Figure GDA0003393715680000043
Figure GDA0003393715680000044
wherein Q isbFor total pumping capacity, m3S; m is the mass of the tool string, kg; g is the acceleration of gravity, m/s2(ii) a Rho is the density of the liquid in the shaft in kg/m3；φ1The outer diameter of the front end of the tool string is m; l is1Is the length of the front end of the tool string, m; phi is a2The outer diameter of the rear end of the tool string is m; l is2Is the length of the rear end of the tool string, m; α is the well angle, deg; mu.sμIs the hydrodynamic viscous coefficient of the shaft, Pa.s; phi is the inner diameter of the shaft, m; v. ofbThe tool string lowering speed is m/s; dCIs the cable head diameter, m; pjkIs wellhead pressure, Pa; h is the vertical depth m of the tool string; l is the well depth, m, of the tool string.
As a preferred embodiment, the pumping capacity calculation formula corresponding to the large gap type is as follows:
γq is largeQb＝γv is largevb+γ
In the formula, the compound is shown in the specification,
Figure GDA0003393715680000045
Figure GDA0003393715680000051
Figure GDA0003393715680000052
wherein Q isbFor total pumping capacity, m3S; m is the mass of the tool string, kg; g is the acceleration of gravity, m/s2(ii) a Rho is the density of the liquid in the shaft in kg/m3；
Figure GDA0003393715680000053
The outer diameter of the front end of the tool string is m; l is1Is the length of the front end of the tool string, m;
Figure GDA0003393715680000054
the outer diameter of the rear end of the tool string is m; l is2Is the length of the rear end of the tool string, m; α is the well angle, deg; mu.sμIs the hydrodynamic viscous coefficient of the shaft, Pa.s;
Figure GDA0003393715680000055
is the wellbore inner diameter, m; v. ofbThe tool string lowering speed is m/s; d is a radical ofCIs the cable head diameter, m; pjkIs wellhead pressure, Pa; h is the vertical depth m of the tool string; l is the well depth, m, of the tool string.
A computer storage medium, storing a computer program which, when executed by a processor, implements the method steps of: acquiring pumping tool string parameters and horizontal well parameters; determining an annular gap type between the pumping tool string and the horizontal well bore; and calculating the total pumping displacement according to a pumping displacement calculation formula corresponding to the annular gap type.
Has the advantages that:
according to the method for calculating the pumping capacity of the horizontal well pumping tool, when the total pumping capacity is calculated, parameters of the pumping tool and the parameters of the horizontal well are considered, the corresponding pumping capacity calculation formula is selected according to the type of the annular gap between the pumping tool string and the horizontal well shaft, the total pumping capacity is calculated, the factors are considered comprehensively, and all influence factors and interaction influencing the pumping capacity can be accurately described, so that the accurate pumping capacity can be obtained by the method for calculating the pumping capacity of the horizontal well pumping tool.
Specific embodiments of the present invention are disclosed in detail with reference to the following description and drawings, indicating the manner in which the principles of the invention may be employed. It should be understood that the embodiments of the invention are not so limited in scope. The embodiments of the invention include many variations, modifications and equivalents within the spirit and scope of the appended claims.
Features that are described and/or illustrated with respect to one embodiment may be used in the same way or in a similar way in one or more other embodiments, in combination with or instead of the features of the other embodiments.
It should be emphasized that the term "comprises/comprising" when used herein, is taken to specify the presence of stated features, integers, steps or components but does not preclude the presence or addition of one or more other features, integers, steps or components.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to these drawings without inventive exercise.
FIG. 1 is a simplified model diagram of a pumping tool string in a horizontal well;
FIG. 2 is a flow chart of a method for calculating pumping capacity of a horizontal well pumping tool according to an embodiment of the present application;
fig. 3 is a schematic diagram of a pumping capacity calculation device of a horizontal well pumping tool provided by an embodiment of the application.
Detailed Description
In order to make those skilled in the art better understand the technical solution of the present invention, the technical solution in the embodiment of the present invention will be clearly and completely described below with reference to the drawings in the embodiment of the present invention, and it is obvious that the described embodiment is only a part of the embodiment of the present invention, and not all embodiments. All other embodiments, which can be obtained by a person skilled in the art without any inventive step based on the embodiments of the present invention, shall fall within the scope of protection of the present invention.
It will be understood that when an element is referred to as being "disposed on" another element, it can be directly on the other element or intervening elements may also be present. When an element is referred to as being "connected" to another element, it can be directly connected to the other element or intervening elements may also be present. The terms "vertical," "horizontal," "left," "right," and the like as used herein are for illustrative purposes only and do not represent the only embodiments.
Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. The terminology used herein in the description of the invention is for the purpose of describing particular embodiments only and is not intended to be limiting of the invention. As used herein, the term "and/or" includes any and all combinations of one or more of the associated listed items.
Referring to fig. 1, fig. 1 shows a simplified model of a pumping tool string in a horizontal well. Among other things, a horizontal well pumping tool string (hereinafter referred to as a tool string) may be composed of a plurality of tools, each having a different outer diameter and length. In the embodiment of the application, the following rules are made for the simplification principle of the tool string model for the horizontal well:
the tool string run-in direction is defined as the positive direction, i.e., the x-direction shown in fig. 1. The tool string is simplified into a stepped shaft, the large-size end of the stepped shaft is positioned at the front part of the tool string, and the small-size end of the stepped shaft is positioned at the rear part of the tool string. With the maximum outer diameter of the tool string as a simplified reference, where the outer diameter and length correspond to φ 1 and L1 in FIG. 1, respectively, the front of the actual maximum outer diameter of the tool string, if there are other structures, is removed from consideration in the simplified model. The structure of the rear part of the maximum outer diameter of the actual tool string is simplified according to the projection area, the maximum outer diameter of the projection area corresponds to phi 2 in figure 1, and the length of the rear structure of the maximum outer diameter of the actual tool string corresponds to L2 in figure 1; the actual quality of the tool string is not simplified.
Please refer to fig. 2. The embodiment of the application provides a method for calculating pumping capacity of a horizontal well pumping tool, which comprises the following steps:
s100, obtaining pumping tool string parameters and horizontal well parameters;
s200, determining the type of an annular gap between the pumping tool string and the horizontal well shaft;
s300, calculating the total pumping displacement according to a pumping displacement calculation formula corresponding to the annular gap type.
According to the method for calculating the pumping capacity of the horizontal well pumping tool, the parameters of the pumping tool and the parameters of the horizontal well are considered when the total pumping capacity is calculated, the corresponding total pumping capacity calculation formula is selected according to the type of the annular gap between the pumping tool string and the horizontal well shaft to calculate the total pumping capacity, the consideration factors are comprehensive, and all influence factors and interaction influencing the pumping capacity can be accurately described, so that the accurate pumping capacity can be obtained by the method for calculating the pumping capacity of the horizontal well pumping tool.
In step S100, the pumping tool parameters include: pumping tool string mass; the outer diameter of the front end of the pumping tool string; a pumping tool string front end length; the outer diameter of the rear end of the pumping tool string; a pumping tool string rear length; the friction coefficient of the pumping tool string and the wall of the horizontal well; cable head diameter; the vertical depth of the pumping tool string; the well depth where the pumping tool string is located; pumping tool string lowering speed.
The horizontal well parameters include: wellbore fluid density; a well inclination angle; wellbore hydrokinetic viscosity coefficient; the inside diameter of the wellbore; wellhead pressure. The horizontal well parameters may also include a tool string to borehole wall coefficient of friction (μ).
Therefore, the method for calculating the pumping capacity of the horizontal well pumping tool provided by the embodiment of the application considers the influences of a plurality of variables such as wellbore parameters, casing sizes, tool string weights, tool string sizes, wellhead pressures and cable lowering speeds when calculating the total pumping capacity, and can accurately describe various influencing factors and interactions influencing the pumping capacity, so that the method for calculating the pumping capacity of the horizontal well pumping tool can obtain the accurate pumping capacity.
In order to obtain a more accurate calculation result, in the step S200, the annular gap type is determined according to a predetermined rule according to a ratio of the annular gap size to the wellbore inner diameter. Wherein, the ratio of the annular gap size to the inner diameter of the shaft is calculated by adopting the following formula (gap ratio formula):
Figure GDA0003393715680000081
wherein tau is the ratio of the size of the annular gap to the inner diameter of the shaft, and is dimensionless; phi is the inner diameter of the shaft, m; phi is a1Is the outer diameter of the front end of the tool string, m.
Specifically, the predetermined rule is: when tau is less than or equal to 0.05, the annular gap type is a small gap type, and when tau is more than 0.05 and less than or equal to 0.1, the annular gap type is a large gap type.
Correspondingly, in step S300, the pumping capacity calculation formula corresponding to the small gap type is as follows:
γq is smallQb＝γv is smallvb+γ
In the formula, the compound is shown in the specification,
Figure GDA0003393715680000082
Figure GDA0003393715680000083
Figure GDA0003393715680000084
wherein Q isbFor total pumping capacity, m3S; m is the mass of the tool string, kg; g is gravity acceleration, m/s2(ii) a Rho is the density of the liquid in the shaft in kg/m3；φ1The outer diameter of the front end of the tool string is m; l is1Is the length of the front end of the tool string, m; phi is a2The outer diameter of the rear end of the tool string is m; l is2Is the length of the rear end of the tool string, m; α is the well angle, deg; mu.sμIs the hydrodynamic viscous coefficient of the shaft, Pa.s; phi is the inner diameter of the shaft, m; v. ofbAs a toolString lowering speed, m/s; dCIs the cable head diameter, m; pjkIs wellhead pressure, Pa; h is the vertical depth m of the tool string; l is the well depth, m, of the tool string.
Accordingly, in step S300, the pumping capacity calculation formula corresponding to the large gap type is as follows:
γq is largeQb＝γv is largevb+γ
In the formula, the compound is shown in the specification,
Figure GDA0003393715680000091
Figure GDA0003393715680000092
Figure GDA0003393715680000093
wherein Q isbFor total pumping capacity, m3S; m is the mass of the tool string, kg; g is the acceleration of gravity, m/s2(ii) a Rho is the density of the liquid in the shaft in kg/m3；φ1The outer diameter of the front end of the tool string is m; l is1Is the length of the front end of the tool string, m; phi is a unit of2The outer diameter of the rear end of the tool string is m; l is2Is the length of the rear end of the tool string, m; α is the well angle, deg; mu.sμIs the hydrodynamic viscous coefficient of the shaft, Pa.s;
Figure GDA0003393715680000094
is the wellbore inner diameter, m; v. ofbThe tool string lowering speed is m/s; dCIs the cable head diameter, m; pjkIs wellhead pressure, Pa; h is the vertical depth m of the tool string; l is the well depth, m, of the tool string.
As shown in fig. 1. The tool string is stressed by gravity G and buoyancy FFloating bodyAnd the supporting force of the (horizontal) well wall to the tool string is FNThe cable head tension is FCWell wall to tool string friction force FfInternal friction of wellbore fluid against tool stringForce FGlue stickThe tool string being subjected to axial wellbore fluid pressure FP。
Wherein, the stress balance equation of the tool string is as follows:
Figure GDA0003393715680000101
a) the formula for calculating gravity is as follows:
G＝mg (2)
in the formula (2), m is the mass of the tool string, kg;
g is the acceleration of gravity, m/s2。
b) The calculation formula of the buoyancy is as follows:
Figure GDA0003393715680000102
in the formula (3), rho is the density of the wellbore liquid, kg/m3；
φ1M is the outer diameter of the front end of the tool string;
L1is the length of the front end of the tool string, m;
φ2the outer diameter of the rear end of the tool string is m;
L2is the tool string rear length, m.
c) The formula for calculating the friction force is:
Ff＝μFN＝μ(G-Ffloating body)sinα (4)
In the formula (4), mu is the friction coefficient between the tool string and the well wall;
α is the angle of inclination, deg.
d) The calculation formula of the internal friction force is as follows:
Figure GDA0003393715680000103
in the formula (5), muμIs the hydrodynamic viscous coefficient of the shaft, Pa.s;
v1the liquid flow rate between the tool string and the shaft is m/s;
phi is the wellbore inner diameter, m.
In the embodiments of the present application, the relationship between the total flow rate and the clearance flow rate and the useful work flow rate during the pumping process is:
Qb＝Q+Q1 (6)
in the formula, QbTo pump the total flow, m3/s；
Q is the flow of useful work to the tool string, m3/s；
Q1For the flow between the tool string and the wellbore, m3/s。
The calculation formula of the useful work flow Q of the tool string is as follows:
Figure GDA0003393715680000111
in the formula (7), vbThe string lowering speed, m/s.
In the embodiment of the application, the flow rate Q between the tool string and the well bore1The calculation formula of (c) is:
Figure GDA0003393715680000112
by substituting formula (7) or (8) for formula (6), the following compounds can be obtained:
Figure GDA0003393715680000113
the formula (9) is substituted into the formula (5) to obtain the following product:
Figure GDA0003393715680000114
e) the calculation formula of the axial pressure of the wellbore fluid on the tool string is as follows:
Figure GDA0003393715680000115
in the formula (11), P2Is the liquid pressure, Pa, at the rear end of the tool string;
P1the front end liquid pressure of the tool string is Pa;
Δ P is a pressure difference between both ends, Δ P ═ P2-P1，Pa；
dCIs the cable head diameter, m.
In the present embodiment, the hydraulic pressure P at the rear end of the tool string is taken into account in the on-way pressure loss2The calculation formula of (2) is as follows:
Figure GDA0003393715680000116
in the formula (12), PjkIs wellhead pressure, Pa;
h is the vertical depth m of the tool string;
l is the well depth, m, of the tool string.
In embodiments of the present application, an annular gap is formed between the tool string and the wellbore. According to the ratio of the size of the annular gap to the inner diameter of the shaft, judging whether a small gap formula (a pumping displacement calculation formula corresponding to a small gap type) or a large gap formula (a pumping displacement calculation formula corresponding to a large gap type) is adopted, wherein the calculation formula of the gap ratio is as follows:
Figure GDA0003393715680000121
in the formula (13), τ is a gap ratio.
In the embodiment of the application, when tau is less than or equal to 0.05, a small gap formula is adopted, and when tau is more than 0.05 and less than or equal to 0.1, a large gap formula is adopted.
In the embodiment of the application, the flow rate Q between the tool string and the well bore1With tool string lowering speed vbThe relation between the two parts is that when a small gap formula is adopted, the calculation formula is as follows:
Figure GDA0003393715680000122
in the formula (14), epsilon is a relative eccentricity, and epsilon is 1.
In the embodiment of the application, the flow rate Q between the tool string and the well bore1With tool string lowering speed vbThe relation between the two components is that when a large gap formula is adopted, the calculation formula is as follows:
Figure GDA0003393715680000123
by substituting equations (7) and (14) into equation (6), a pressure difference between both ends of a small gap type (tool string) can be obtained:
Figure GDA0003393715680000124
by substituting equations (7) and (15) into equation (6), a pressure difference between both ends of a large gap type (tool string) can be obtained:
Figure GDA0003393715680000131
by substituting formula (12) and formula (16) into formula (11), the axial pressure of the small-gap type wellbore fluid on the tool string can be obtained:
Figure GDA0003393715680000132
by substituting formula (12) and formula (17) into formula (11), the axial pressure of the large-gap type wellbore liquid on the tool string can be obtained:
Figure GDA0003393715680000133
f) the formula for calculating the tension of the cable head is as follows:
FC＝(G-Ffloating body)(cosα-μsinα)+βαβmβP (20)
In the formula (20), betaαIs the well inclination angle influence coefficient;
βmis the tool string quality impact coefficient;
βPis the wellhead pressure influence coefficient.
Wherein the coefficient of influence of the inclination angle betaαThe calculation formula of (2) is as follows:
Figure GDA0003393715680000134
tool string quality influence coefficient betamThe calculation formula of (2) is as follows:
Figure GDA0003393715680000135
wellhead pressure coefficient of influence betaPThe calculation formula of (2) is as follows:
Figure GDA0003393715680000141
the formula (2), (3), (4), (10), (18) and (20)) is substituted into the formula (1) to obtain the product Q with small gapsbAnd vbThe relationship is as follows:
γq is smallQb＝γv is smallvb+γ (24)
In the formula (I), the compound is shown in the specification,
Figure GDA0003393715680000142
Figure GDA0003393715680000143
Figure GDA0003393715680000144
the formula (2), (3), (4), (10), (19) and (20)) is substituted into the formula (1) to obtain the large gap type QbAnd vbThe relationship is as follows:
γq is largeQb＝γv is largevb+γ (25)
In the formula (I), the compound is shown in the specification,
Figure GDA0003393715680000145
Figure GDA0003393715680000146
Figure GDA0003393715680000147
please refer to fig. 3. The embodiment of the present application further provides a pumping displacement calculation device for a horizontal well pumping tool, including: the acquisition module 10 is used for acquiring pumping tool string parameters and horizontal well parameters; a determination module 20 for determining the type of annular gap between the pumping tool string and the horizontal well bore; and the calculating module 30 is used for calculating the total pumping displacement according to the pumping displacement calculating formula corresponding to the annular gap type.
According to the device for calculating the pumping capacity of the horizontal well pumping tool, the parameters of the pumping tool and the parameters of the horizontal well are considered when the total pumping capacity is calculated, the corresponding pumping capacity calculation formula is selected according to the type of the annular gap between the pumping tool string and the horizontal well shaft to calculate the total pumping capacity, the consideration factors are comprehensive, and all influence factors and interaction influencing the pumping capacity can be accurately described, so that the accurate pumping capacity can be obtained by the method for calculating the pumping capacity of the horizontal well pumping tool.
In the present application, a computing device may be implemented in any suitable manner. Specifically, for example, the computing device may take the form of, for example, a microprocessor or processor and a computer-readable medium storing computer-readable program code (e.g., software or firmware) executable by the microprocessor or processor, Logic gates, switches, an Application Specific Integrated Circuit (ASIC), a Programmable Logic Controller (PLC), and an embedded micro-Controller Unit (MCU), examples of which include, but are not limited to, the following: ARC 625D, Atmel AT91SAM, Microchip PIC18F26K20, and Silicone Labs C8051F 320. It will also be clear to a person skilled in the art that instead of implementing the functionality of the computing module in the form of pure computer-readable program code, it is entirely possible to logically program the method steps such that the control unit implements the same functionality in the form of logic gates, switches, application specific integrated circuits, programmable logic controllers, embedded micro-control units, etc.
In the acquisition module 10, the pumping tool parameters include: pumping tool string mass; the outer diameter of the front end of the pumping tool string; a pumping tool string front end length; the outer diameter of the rear end of the pumping tool string; a pumping tool string rear length; the friction coefficient of the pumping tool string and the well wall of the horizontal well; cable head diameter; the vertical depth of the pumping tool string; the well depth where the pumping tool string is located; pumping tool string lowering speed.
The horizontal well parameters include: wellbore fluid density; a well inclination angle; wellbore hydrokinetic viscosity coefficient; the inside diameter of the wellbore; wellhead pressure. The horizontal well parameters may also include a tool string to borehole wall coefficient of friction (μ).
Therefore, the device for calculating the pumping capacity of the horizontal well pumping tool provided by the embodiment of the application considers the influences of a plurality of variables such as wellbore parameters, casing sizes, tool string weights, tool string sizes, wellhead pressures and cable lowering speeds when calculating the total pumping capacity, and can accurately describe various influencing factors and interactions influencing the pumping capacity, so that the method for calculating the pumping capacity of the horizontal well pumping tool can obtain the accurate pumping capacity.
In order to obtain a more accurate calculation result, in the determination module 20, the annular gap type is determined according to a predetermined rule according to the ratio of the annular gap size to the wellbore inner diameter. Wherein, the ratio of the annular gap size to the inner diameter of the shaft is calculated by adopting the following formula (gap ratio formula):
Figure GDA0003393715680000161
wherein tau is the ratio of the size of the annular gap to the inner diameter of the shaft, and is dimensionless;
Figure GDA0003393715680000162
is the wellbore inner diameter, m; phi is a1Is the outer diameter of the front end of the tool string, m.
Specifically, the predetermined rule is: when tau is less than or equal to 0.05, the annular gap type is a small gap type, and when tau is more than 0.05 and less than or equal to 0.1, the annular gap type is a large gap type.
Accordingly, in the calculating module 30, the pumping capacity calculation formula corresponding to the small gap type is as follows:
γq is smallQb＝γv is smallvb+γ
In the formula, the compound is shown in the specification,
Figure GDA0003393715680000163
Figure GDA0003393715680000164
Figure GDA0003393715680000165
wherein Q isbFor total pumping capacity, m3S; m is the mass of the tool string, kg; g is gravity acceleration, m/s2(ii) a Rho is the density of the liquid in the shaft in kg/m3；φ1The outer diameter of the front end of the tool string is m; l is1Is the length of the front end of the tool string, m; phi is a2The outer diameter of the rear end of the tool string is m; l is a radical of an alcohol2To workLength of the rear end of the string, m; α is the well angle, deg; mu.sμIs the hydrodynamic viscous coefficient of the shaft, Pa.s; phi is the inner diameter of the shaft, m; v. ofbThe tool string lowering speed is m/s; dCIs the cable head diameter, m; pjkIs wellhead pressure, Pa; h is the vertical depth m of the tool string; l is the well depth, m, of the tool string.
Accordingly, in the calculating module 30, the pumping capacity calculation formula corresponding to the large gap type is as follows:
γq is largeQb＝γv is largevb+γ
In the formula, the compound is shown in the specification,
Figure GDA0003393715680000171
Figure GDA0003393715680000172
Figure GDA0003393715680000173
wherein Q isbFor total pumping capacity, m3S; m is the mass of the tool string, kg; g is the acceleration of gravity, m/s2(ii) a Rho is the density of the liquid in the shaft in kg/m3；φ1The outer diameter of the front end of the tool string is m; l is1Is the length of the front end of the tool string, m; phi is a2The outer diameter of the rear end of the tool string is m; l is a radical of an alcohol2Is the length of the rear end of the tool string, m; α is the well angle, deg; mu.sμIs the hydrodynamic viscous coefficient of the shaft, Pa.s; phi is the inner diameter of the shaft, m; v. ofbThe tool string lowering speed is m/s; dCIs the cable head diameter, m; pjkIs wellhead pressure, Pa; h is the vertical depth m of the tool string; l is the well depth, m, of the tool string.
As shown in fig. 1. The tool string is stressed by gravity G and buoyancy FFloating bodyAnd the supporting force of the (horizontal) well wall to the tool string is FNThe cable head tension is FCWell wall to tool string friction force FfWell boreInternal friction force F of liquid on tool stringSticking machineThe tool string being subjected to axial wellbore fluid pressure FP。
Wherein, the stress balance equation of the tool string is as follows:
Figure GDA0003393715680000174
g) the formula for calculating gravity is as follows:
G＝mg (2)
in the formula (2), m is the mass of the tool string, kg;
g is the acceleration of gravity, m/s2。
h) The calculation formula of the buoyancy is as follows:
Figure GDA0003393715680000181
in the formula (3), rho is the density of the wellbore liquid in kg/m3；
φ1The outer diameter of the front end of the tool string is m;
L1is the length of the front end of the tool string, m;
φ2m is the outer diameter of the rear end of the tool string;
L2is the tool string rear length, m.
i) The formula for calculating the friction force is:
Ff＝μFN＝μ(G-Ffloating body)sinα (4)
In the formula (4), mu is the friction coefficient between the tool string and the well wall;
α is the well angle, deg.
j) The calculation formula of the internal friction force is as follows:
Figure GDA0003393715680000182
in the formula (5), muμIs the hydrodynamic viscosity coefficient of the shaft, Pa.s；
v1The liquid flow rate between the tool string and the shaft is m/s;
phi is the wellbore inner diameter, m.
In the embodiments of the present application, the relationship between the total flow rate and the clearance flow rate and the useful work flow rate during the pumping process is:
Qb＝Q+Q1 (6)
in the formula, QbTo pump the total flow, m3/s；
Q is the flow of useful work to the tool string, m3/s；
Q1M is the flow between the tool string and the wellbore3/s。
The calculation formula of the useful work flow Q of the tool string is as follows:
Figure GDA0003393715680000183
in the formula (7), vbThe string lowering speed, m/s.
In the embodiment of the application, the flow rate Q between the tool string and the well bore1The calculation formula of (2) is as follows:
Figure GDA0003393715680000191
the formula (7) and the formula (8) are substituted into the formula (6) to obtain:
Figure GDA0003393715680000192
the formula (9) is substituted into the formula (5) to obtain the following product:
Figure GDA0003393715680000193
k) the calculation formula of the axial pressure of the wellbore fluid on the tool string is as follows:
Figure GDA0003393715680000194
in the formula (11), P2Is the liquid pressure, Pa, at the rear end of the tool string;
P1the front end liquid pressure of the tool string is Pa;
Δ P is a pressure difference between both ends, Δ P ═ P2-P1，Pa；
dCIs the cable head diameter, m.
In the present embodiment, the hydraulic pressure P at the rear end of the tool string is taken into account in the on-way pressure loss2The calculation formula of (2) is as follows:
Figure GDA0003393715680000195
in the formula (12), PjkIs wellhead pressure, Pa;
h is the vertical depth m of the tool string;
l is the well depth, m, of the tool string.
In embodiments of the present application, an annular gap is formed between the tool string and the wellbore. According to the ratio of the size of the annular gap to the inner diameter of the shaft, judging whether a small gap formula (a pumping displacement calculation formula corresponding to a small gap type) or a large gap formula (a pumping displacement calculation formula corresponding to a large gap type) is adopted, wherein the calculation formula of the gap ratio is as follows:
Figure GDA0003393715680000201
in the formula (13), τ is a gap ratio.
In the embodiment of the application, when tau is less than or equal to 0.05, a small gap formula is adopted, and when tau is more than 0.05 and less than or equal to 0.1, a large gap formula is adopted.
In the embodiment of the application, the flow rate Q between the tool string and the well bore1With tool string lowering speed vbIn relation to each other, using small gapsThe formula is as follows:
Figure GDA0003393715680000202
in the formula (14), ∈ denotes a relative eccentricity, and ∈ is taken to be 1.
In the embodiment of the application, the flow rate Q between the tool string and the well bore1With tool string lowering speed vbThe relation between the two is that when a large gap formula is adopted, the calculation formula is as follows:
Figure GDA0003393715680000203
by substituting equations (7) and (14) into equation (6), a pressure difference between both ends of a small gap type (tool string) can be obtained:
Figure GDA0003393715680000204
by substituting equations (7) and (15) into equation (6), a pressure difference between both ends of a large gap type (tool string) can be obtained:
Figure GDA0003393715680000205
by substituting formula (12) and formula (16) into formula (11), the axial pressure of the small-gap type wellbore fluid on the tool string can be obtained:
Figure GDA0003393715680000206
by substituting formulas (12) and (17) into formula (11), the axial pressure of the large-gap type wellbore fluid on the tool string can be obtained:
Figure GDA0003393715680000211
l) the calculation formula of the cable head tension is as follows:
FC＝(G-Ffloating body)(cosα-μsinα)+βαβmβP (20)
In the formula (20), betaαIs the well inclination angle influence coefficient;
βmis the tool string quality impact coefficient;
βPis the wellhead pressure influence coefficient.
Wherein the coefficient of influence of the inclination angle betaαThe calculation formula of (2) is as follows:
Figure GDA0003393715680000212
tool string quality influence coefficient betamThe calculation formula of (2) is as follows:
Figure GDA0003393715680000213
wellhead pressure coefficient of influence betaPThe calculation formula of (2) is as follows:
Figure GDA0003393715680000214
the formula (2), (3), (4), (10), (18) and (20)) is substituted into the formula (1) to obtain the product Q with small gapsbAnd vbThe relationship is as follows:
γq is smallQb＝γv is smallvb+γ (24)
In the formula (I), the compound is shown in the specification,
Figure GDA0003393715680000215
Figure GDA0003393715680000216
Figure GDA0003393715680000221
the formula (2), (3), (4), (10), (19) and (20)) is substituted into the formula (1) to obtain the large gap type QbAnd vbThe relationship is as follows:
γq is largeQb＝γv is largevb+γ (25)
In the formula (I), the compound is shown in the specification,
Figure GDA0003393715680000222
Figure GDA0003393715680000223
Figure GDA0003393715680000224
in an embodiment of the present application, there is further provided a computer storage medium storing a computer program, which when executed by a processor, implements the following method steps: acquiring pumping tool string parameters and horizontal well parameters; determining an annular gap type between the pumping tool string and the horizontal well bore; and calculating the total pumping displacement according to a pumping displacement calculation formula corresponding to the annular gap type.
For convenience of description, the above devices are described as being divided into various modules by functions, and are described separately. Of course, the functionality of the various modules may be implemented in the same one or more software and/or hardware implementations as the present application.
From the above description of the embodiments, it is clear to those skilled in the art that the present application can be implemented by software plus necessary general hardware platform. Based on this understanding, the technical solutions of the present application may be embodied in the form of software products, which essentially or partially contribute to the prior art. In a typical configuration, a computing device includes one or more processors (CPUs), input/output interfaces, network interfaces, and memory. The computer software product may include instructions for causing a computing device (which may be a personal computer, a server, or a network device, etc.) to perform the methods described in the various embodiments or portions of embodiments of the present application. The computer software product may be stored in a memory, which may include forms of volatile memory in a computer readable medium, Random Access Memory (RAM) and/or non-volatile memory, such as Read Only Memory (ROM) or flash memory (flash RAM). Memory is an example of a computer-readable medium. Computer-readable media, including both non-transitory and non-transitory, removable and non-removable media, may implement information storage by any method or technology. The information may be computer readable instructions, data structures, modules of a program, or other data. Examples of computer storage media include, but are not limited to, phase change memory (PRAM), Static Random Access Memory (SRAM), Dynamic Random Access Memory (DRAM), other types of Random Access Memory (RAM), Read Only Memory (ROM), Electrically Erasable Programmable Read Only Memory (EEPROM), flash memory or other memory technology, compact disc read only memory (CD-ROM), Digital Versatile Discs (DVD) or other optical storage, magnetic cassettes, magnetic tape magnetic disk storage or other magnetic storage devices, or any other non-transmission medium that can be used to store information that can be accessed by a computing device. As defined herein, computer readable media does not include transitory computer readable media (transient media), such as modulated data signals and carrier waves.
The embodiments in the present specification are described in a progressive manner, and the same and similar parts among the embodiments are referred to each other, and each embodiment focuses on the differences from the other embodiments. In particular, for the electronic device embodiment, since the software functions executed by the processor are basically similar to the method embodiment, the description is simple, and the relevant points can be referred to the partial description of the method embodiment.
Although the present application has been described in terms of embodiments, those of ordinary skill in the art will recognize that there are numerous variations and permutations of the present application without departing from the spirit of the application, and it is intended that the appended claims encompass such variations and permutations without departing from the spirit of the application.
All articles and references disclosed, including patent applications and publications, are hereby incorporated by reference for all purposes. The term "consisting essentially of …" describing a combination shall include the identified element, ingredient, component or step as well as other elements, ingredients, components or steps that do not materially affect the basic novel characteristics of the combination. The use of the terms "comprising" or "including" to describe combinations of elements, components, or steps herein also contemplates embodiments that consist essentially of such elements, components, or steps. By using the term "may" herein, it is intended to indicate that any of the described attributes that "may" include are optional.
It is to be understood that the above description is intended to be illustrative, and not restrictive. Many embodiments and many applications other than the examples provided will be apparent to those of skill in the art upon reading the above description. The scope of the present teachings should, therefore, be determined not with reference to the above description, but should instead be determined with reference to the appended claims, along with the full scope of equivalents to which such claims are entitled. The disclosures of all articles and references, including patent applications and publications, are hereby incorporated by reference for all purposes. The omission in the foregoing claims of any aspect of subject matter that is disclosed herein is not intended to forego such subject matter, nor should the inventors be construed as having contemplated such subject matter as being part of the disclosed subject matter.

Claims (3)

1. A method of calculating a pumping displacement, comprising:
acquiring pumping tool string parameters and horizontal well parameters; the pumping tool string parameters include: pumping tool string mass; the outer diameter of the front end of the pumping tool string; a pumping tool string front end length; the outer diameter of the rear end of the pumping tool string; a pumping tool string rear length; the friction coefficient of the pumping tool string and the wall of the horizontal well; cable head diameter; the vertical depth of the pumping tool string; the well depth where the pumping tool string is located; -pumping tool string lowering speed; the horizontal well parameters include: wellbore fluid density; a well inclination angle; wellbore hydrokinetic viscosity coefficient; the inside diameter of the wellbore; wellhead pressure;
determining the type of an annular gap between the pumping tool string and a horizontal well shaft, specifically determining the type of the annular gap according to a predetermined rule according to the ratio of the size of the annular gap to the inner diameter of the well shaft; the ratio of the size of the annular gap to the inner diameter of the shaft is calculated by adopting the following formula:
Figure FDA0003406718540000011
wherein tau is the ratio of the size of the annular gap to the inner diameter of the shaft, and is dimensionless; phi is the inner diameter of the shaft, m; phi is a1The outer diameter of the front end of the tool string is m; the predetermined rule is as follows: when tau is less than or equal to 0.05, the annular gap type is a small gap type, and when tau is more than 0.05 and less than or equal to 0.1, the annular gap type is a large gap type;
the pumping displacement calculation formula corresponding to the small gap type is as follows:
γq is smallQb＝γv is smallvb+γ
In the formula (I), the compound is shown in the specification,
Figure FDA0003406718540000012
Figure FDA0003406718540000013
Figure FDA0003406718540000014
the calculation formula of the pumping displacement corresponding to the large gap type is as follows:
γq is largeQb＝γv is largevb+γ
In the formula (I), the compound is shown in the specification,
Figure FDA0003406718540000021
Figure FDA0003406718540000022
Figure FDA0003406718540000023
wherein Q isbFor total pumping capacity, m3S; m is the mass of the tool string, kg; g is the acceleration of gravity, m/s2(ii) a Rho is the density of the liquid in the shaft in kg/m3；L1Is the length of the front end of the tool string, m; phi is a2The outer diameter of the rear end of the tool string is m; l is2Is the length of the rear end of the tool string, m; α is the well angle, deg; mu.sμIs the hydrodynamic viscous coefficient of the shaft, Pa.s; v. ofbThe tool string lowering speed is m/s; dCIs the cable head diameter, m; pjkIs wellhead pressure, Pa; h is the vertical depth m of the tool string; l is the well depth, m, of the tool string;
and calculating the total pumping displacement according to a pumping displacement calculation formula corresponding to the annular gap type.
2. A pumping displacement calculation device, comprising:
the acquisition module is used for acquiring pumping tool string parameters and horizontal well parameters; the pumping tool string parameters include: pumping tool string mass; the outer diameter of the front end of the pumping tool string; a pumping tool string front end length; the outer diameter of the rear end of the pumping tool string; a pumping tool string rear length; the friction coefficient of the pumping tool string and the wall of the horizontal well; cable head diameter; the vertical depth of the pumping tool string; the well depth where the pumping tool string is located; -pumping tool string lowering speed; the horizontal well parameters include: wellbore fluid density; a well inclination angle; wellbore hydrokinetic viscosity coefficient; the inside diameter of the wellbore; wellhead pressure;
the determining module is used for determining the type of an annular gap between the pumping tool string and a horizontal well shaft, and specifically, the type of the annular gap is determined according to the ratio of the size of the annular gap to the inner diameter of the well shaft and a preset rule; wherein, the ratio of the annular gap size to the shaft bore diameter is calculated by adopting the following formula:
Figure FDA0003406718540000024
wherein tau is the ratio of the size of the annular gap to the inner diameter of the shaft, and is dimensionless; phi is the inner diameter of the shaft, m; phi is a1The outer diameter of the front end of the tool string is m; the predetermined rule is as follows: when tau is less than or equal to 0.05, the annular gap type is a small gap type, and when tau is more than 0.05 and less than or equal to 0.1, the annular gap type is a large gap type;
the pumping displacement calculation formula corresponding to the small gap type is as follows:
γq is smallQb＝γv is smallvb+γ
In the formula (I), the compound is shown in the specification,
Figure FDA0003406718540000031
Figure FDA0003406718540000032
Figure FDA0003406718540000033
the pumping displacement calculation formula corresponding to the large gap type is as follows:
γq is largeQb＝γv is largevb+γ
In the formula (I), the compound is shown in the specification,
Figure FDA0003406718540000034
Figure FDA0003406718540000035
Figure FDA0003406718540000036
wherein Q isbFor total pumping capacity, m3S; m is the mass of the tool string, kg; g is the acceleration of gravity, m/s2(ii) a Rho is the density of the liquid in the shaft in kg/m3；L1Is the length of the front end of the tool string, m; phi is a2The outer diameter of the rear end of the tool string is m; l is2Is the length of the rear end of the tool string, m; α is the well angle, deg; mu.sμIs the hydrodynamic viscous coefficient of the shaft, Pa.s; v. ofbThe tool string lowering speed is m/s; dCIs the cable head diameter, m; pjkIs wellhead pressure, Pa; h is the vertical depth m of the tool string; l is the well depth, m, of the tool string;
and the calculation module is used for calculating the total pumping displacement according to the pumping displacement calculation formula corresponding to the annular gap type.
3. A computer storage medium, characterized in that the computer storage medium stores a computer program which, when executed by a processor, implements a pumping displacement calculation method as claimed in claim 1.
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