CN109138983A - Pump displacement calculation method and its device, computer storage medium - Google Patents
Pump displacement calculation method and its device, computer storage medium Download PDFInfo
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- CN109138983A CN109138983A CN201810802856.9A CN201810802856A CN109138983A CN 109138983 A CN109138983 A CN 109138983A CN 201810802856 A CN201810802856 A CN 201810802856A CN 109138983 A CN109138983 A CN 109138983A
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- Prior art keywords
- pump
- tool string
- horizontal well
- down tool
- pit shaft
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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
Abstract
The application discloses a kind of pump displacement calculation method and its device, computer storage medium.Wherein, a kind of horizontal well pump-down tool pump displacement calculation method, comprising: obtain pump-down tool string parameter and horizontal well parameter；Determine annular gap type between the pump-down tool string and the horizontal well pit shaft；Pumping total displacement is calculated according to pump displacement calculation formula corresponding to the annular gap type.Pump displacement calculation method and its device, computer storage medium disclosed in the present application can obtain accurate pump displacement.
Description
Technical field
This application involves technical field of petroleum extraction more particularly to a kind of pump displacement calculation method and its devices, calculating
Machine storage medium.
Background technique
Horizontal well pump-down tool is widely used in practice production, but for pump displacement mostly by empirically determined,
Some calculation method formula are single, and Consideration is less, can not each influence factor of accurate description influence pump displacement and its phase
Interaction, so that accurate pump displacement cannot be obtained.
Summary of the invention
In view of the deficiencies in the prior art, the purpose of the application is to provide a kind of pump displacement calculation method and its device, meter
Calculation machine storage medium, accurate pump displacement can be obtained.
The technical solution of the application is as follows:
A kind of horizontal well pump-down tool pump displacement calculation method, comprising:
Obtain pump-down tool string parameter and horizontal well parameter；
Determine annular gap type between the pump-down tool string and the horizontal well pit shaft；
Pumping total displacement is calculated according to pump displacement calculation formula corresponding to the annular gap type.
As a preferred embodiment, the pump-down tool parameter includes: pump-down tool string quality；Pump-down tool string
Front end external diameter；Pump-down tool string front end length；Pump-down tool string rear end outer diameter；Pump-down tool string rear end length；Pump-down tool string
With Horizontal Well wall friction coefficient；End diameter；Vertical depth where pump-down tool string；Well depth where pump-down tool string；Pump work
Tool string lowering velocity.
As a preferred embodiment, the horizontal well parameter includes: wellbore fluid density；Hole angle；Well liquid
Body coefficient of dynamic viscosity；Pit shaft internal diameter；Well head pressure.
As a preferred embodiment, according to the annular gap size and pit shaft internal diameter ratio according to pre-defined rule
Determine the annular gap type；Wherein, the annular gap size and pit shaft internal diameter ratio are calculated using following formula:
Wherein, τ is annular gap size and pit shaft internal diameter ratio, dimensionless；For pit shaft internal diameter, mm；For tool string
Front end external diameter, m.
As a preferred embodiment, the pre-defined rule are as follows: as τ≤0.05, the annular gap type is
Small gap type, as 0.05 < τ≤0.1, the annular gap type is big gap type.
As a preferred embodiment, pump displacement calculation formula corresponding to the small gap type are as follows:
γQ is smallQb=γV is smallvb+γ
In the formula,
Wherein, QbTo pump total displacement, m3/s；M is tool string quality, kg；G is acceleration of gravity, m/s2；ρ is well liquid
Volume density, kg/m3；For tool string front end external diameter, m；L1For tool string front end length, m；For tool string rear end outer diameter, m；
L2For tool string rear end length, m；α is hole angle, deg；μμFor wellbore fluid power coefficient of viscosity, Pas；For in pit shaft
Diameter, m；vbFor tool string lowering velocity, m/s；dCFor end diameter, m；PjkFor well head pressure, Pa；H is that tool string place is hung down
It is deep, m；L is well depth where tool string, m.
As a preferred embodiment, pump displacement calculation formula corresponding to the big gap type are as follows:
γQ is bigQb=γV is bigvb+γ
In the formula,
Wherein, QbTo pump total displacement, m3/s；M is tool string quality, kg；G is acceleration of gravity, m/s2；ρ is well liquid
Volume density, kg/m3；For tool string front end external diameter, m；L1For tool string front end length, m；For tool string rear end outer diameter, m；L2
For tool string rear end length, m；α is hole angle, deg；μμFor wellbore fluid power coefficient of viscosity, Pas；For pit shaft internal diameter,
m；vbFor tool string lowering velocity, m/s；dCFor end diameter, m；PjkFor well head pressure, Pa；H is vertical depth where tool string,
m；L is well depth where tool string, m.
A kind of horizontal well pump-down tool pump displacement computing device, comprising:
Module is obtained, for obtaining pump-down tool string parameter and horizontal well parameter；
Determining module, for determining annular gap type between the pump-down tool string and the horizontal well pit shaft；
Computing module calculates the total row of pumping for the pump displacement calculation formula according to corresponding to the annular gap type
Amount.
As a preferred embodiment, the pump-down tool parameter includes: pump-down tool string quality；Pump-down tool string
Front end external diameter；Pump-down tool string front end length；Pump-down tool string rear end outer diameter；Pump-down tool string rear end length；Pump-down tool string
With Horizontal Well wall friction coefficient；End diameter；Vertical depth where pump-down tool string；Well depth where pump-down tool string；Pump work
Tool string lowering velocity.
As a preferred embodiment, the horizontal well parameter includes: wellbore fluid density；Hole angle；Well liquid
Body coefficient of dynamic viscosity；Pit shaft internal diameter；Well head pressure.
As a preferred embodiment, according to the annular gap size and pit shaft internal diameter ratio according to pre-defined rule
Determine the annular gap type；Wherein, the annular gap size and pit shaft internal diameter ratio are calculated using following formula:
Wherein, τ is annular gap size and pit shaft internal diameter ratio, dimensionless；For pit shaft internal diameter, mm；For tool string
Front end external diameter, m.
As a preferred embodiment, the pre-defined rule are as follows: as τ≤0.05, the annular gap type is
Small gap type, as 0.05 < τ≤0.1, the annular gap type is big gap type.
As a preferred embodiment, pump displacement calculation formula corresponding to the small gap type are as follows:
γQ is smallQb=γV is smallvb+γ
In the formula,
Wherein, QbTo pump total displacement, m3/s；M is tool string quality, kg；G is acceleration of gravity, m/s2；ρ is well liquid
Volume density, kg/m3；For tool string front end external diameter, m；L1For tool string front end length, m；For tool string rear end outer diameter, m；
L2For tool string rear end length, m；α is hole angle, deg；μμFor wellbore fluid power coefficient of viscosity, Pas；For in pit shaft
Diameter, m；vbFor tool string lowering velocity, m/s；dCFor end diameter, m；PjkFor well head pressure, Pa；H is that tool string place is hung down
It is deep, m；L is well depth where tool string, m.
As a preferred embodiment, pump displacement calculation formula corresponding to the big gap type are as follows:
γQ is bigQb=γV is bigvb+γ
In the formula,
Wherein, QbTo pump total displacement, m3/s；M is tool string quality, kg；G is acceleration of gravity, m/s2；ρ is well liquid
Volume density, kg/m3；For tool string front end external diameter, m；L1For tool string front end length, m；For tool string rear end outer diameter, m；L2
For tool string rear end length, m；α is hole angle, deg；μμFor wellbore fluid power coefficient of viscosity, Pas；For pit shaft internal diameter,
m；vbFor tool string lowering velocity, m/s；dCFor end diameter, m；PjkFor well head pressure, Pa；H is vertical depth where tool string,
m；L is well depth where tool string, m.
A kind of computer storage medium, the computer storage medium are stored with computer program, the computer program
Following method and step is realized when being executed by processor: obtaining pump-down tool string parameter and horizontal well parameter；Determine the pumping
Annular gap type between tool string and the horizontal well pit shaft；According to pump displacement meter corresponding to the annular gap type
It calculates formula and calculates pumping total displacement.
The utility model has the advantages that
Horizontal well pump-down tool pump displacement calculation method provided in the application embodiment is calculating the total row of pumping
Pump-down tool parameter and horizontal well parameter are considered when amount, and according between the pump-down tool string and the horizontal well pit shaft
Annular gap type selects corresponding pump displacement calculation formula to calculate pumping total displacement, and Consideration is comprehensive, can be accurate
Description influences each influence factor and interaction of pump displacement, therefore, the horizontal well pump-down tool pump displacement calculating side
Method can obtain accurate pump displacement.
Referring to following description and accompanying drawings, only certain exemplary embodiments of this invention is disclosed in detail, specifies original of the invention
Reason can be in a manner of adopted.It should be understood that embodiments of the present invention are not so limited in range.In appended power
In the range of the spirit and terms that benefit requires, embodiments of the present invention include many changes, modifications and are equal.
The feature for describing and/or showing for a kind of embodiment can be in a manner of same or similar one or more
It uses in a other embodiment, is combined with the feature in other embodiment, or the feature in substitution other embodiment.
It should be emphasized that term "comprises/comprising" refers to the presence of feature, one integral piece, step or component when using herein, but simultaneously
It is not excluded for the presence or additional of one or more other features, one integral piece, step or component.
Detailed description of the invention
In order to more clearly explain the embodiment of the invention or the technical proposal in the existing technology, to embodiment or will show below
There is attached drawing needed in technical description to be briefly described, it should be apparent that, the accompanying drawings in the following description is only this
Some embodiments of invention for those skilled in the art without any creative labor, can be with root
Other attached drawings are obtained according to these attached drawings.
Fig. 1 is simplified model figure of the pump-down tool string in horizontal well；
Fig. 2 is the horizontal well pump-down tool pump displacement calculation method flow chart that a kind of embodiment of the application provides；
Fig. 3 is the horizontal well pump-down tool pump displacement computing device schematic diagram that a kind of embodiment of the application provides.
Specific embodiment
Technical solution in order to enable those skilled in the art to better understand the present invention, below in conjunction with of the invention real
The attached drawing in example is applied, technical scheme in the embodiment of the invention is clearly and completely described, it is clear that described implementation
Example is only a part of the embodiment of the present invention, instead of all the embodiments.Based on the embodiments of the present invention, this field is common
Technical staff's every other embodiment obtained without making creative work, all should belong to guarantor of the present invention
The range of shield.
It should be noted that it can directly on the other element when element is referred to as " being set to " another element
Or there may also be elements placed in the middle.When an element is considered as " connection " another element, it, which can be, is directly connected to
To another element or it may be simultaneously present centering elements.Term as used herein " vertical ", " horizontal ", " left side ",
" right side " and similar statement for illustrative purposes only, are not meant to be the only embodiment.
Unless otherwise defined, all technical and scientific terms used herein and belong to technical field of the invention
The normally understood meaning of technical staff is identical.Term as used herein in the specification of the present invention is intended merely to description tool
The purpose of the embodiment of body, it is not intended that in the limitation present invention.Term as used herein "and/or" includes one or more
Any and all combinations of relevant listed item.
Referring to FIG. 1, the simplified model figure 1 show pump-down tool string in horizontal well.Wherein, horizontal well pumps
Tool string (hereinafter referred to as tool string) may be made of multiple tools, and outer diameter and length are different.In the application embodiment
Following provisions are made to the simplification principle of horizontal well tool string model:
Tool string tripping in direction is defined as positive direction, i.e., the direction x shown in FIG. 1.Tool string is reduced to multi-diameter shaft, multi-diameter shaft
Large scale end is located at tool string front, and multi-diameter shaft small size end is located at tool string rear portion.Using in tool string at maximum outside diameter as
Simplify reference portion, outer diameter and length correspond respectively to φ 1 and L1 in Fig. 1, actual tool string maximum outside diameter front at maximum outside diameter
If there are also other structures, removes in simplified model, do not consider.The structure at actual tool string maximum outside diameter rear portion, by projection
Area is simplified, and projected area maximum outside diameter corresponds to φ 2 in Fig. 1, the length of actual tool string maximum outside diameter rear structure
Corresponding to L2 in Fig. 1；The actual mass of tool string is without simplification.
Please refer to Fig. 2.A kind of horizontal well pump-down tool pump displacement calculation method is provided in the application embodiment, including
Following steps:
S100, pump-down tool string parameter and horizontal well parameter are obtained；
S200, annular gap type between the pump-down tool string and the horizontal well pit shaft is determined；
S300, the pump displacement calculation formula according to corresponding to the annular gap type calculate pumping total displacement.
Horizontal well pump-down tool pump displacement calculation method provided in the application embodiment is calculating the total row of pumping
Pump-down tool parameter and horizontal well parameter are considered when amount, and according between the pump-down tool string and the horizontal well pit shaft
Annular gap type selects corresponding pump displacement calculation formula to calculate pumping total displacement, and Consideration is comprehensive, can be accurate
Description influences each influence factor and interaction of pump displacement, therefore, the horizontal well pump-down tool pump displacement calculating side
Method can obtain accurate pump displacement.
In the step s 100, the pump-down tool parameter includes: pump-down tool string quality；Pump-down tool string front end external diameter；
Pump-down tool string front end length；Pump-down tool string rear end outer diameter；Pump-down tool string rear end length；Pump-down tool string and Horizontal Well
Wall friction coefficient；End diameter；Vertical depth where pump-down tool string；Well depth where pump-down tool string；Pump-down tool string decentralization speed
Degree.
The horizontal well parameter includes: wellbore fluid density；Hole angle；Wellbore fluid coefficient of dynamic viscosity；Pit shaft internal diameter；
Well head pressure.Horizontal well parameter can also include tool string and wall friction coefficient (μ).
As it can be seen that horizontal well pump-down tool pump displacement calculation method provided in the application embodiment is calculating pumping
Consider that wellbore parameters, casing size, tool string weight, tool string size, well head pressure, cable lowering velocity etc. are more when total displacement
The each influence factor and interaction of accurate description influence pump displacement, therefore, the horizontal well pump are capable of in the influence of a variable
Send tool pumping discharge capacity account method that can obtain accurate pump displacement.
It is more accurate to make to obtain calculated result, in the step S200, according to the annular gap size and pit shaft
Internal diameter ratio determines the annular gap type according to pre-defined rule.Wherein, the annular gap size and pit shaft internal diameter ratio
It is calculated using following formula (gap is than formula):
Wherein, τ is annular gap size and pit shaft internal diameter ratio, dimensionless；For pit shaft internal diameter, mm；For tool string
Front end external diameter, m.
Specifically, the pre-defined rule are as follows: as τ≤0.05, the annular gap type is small gap type, when 0.05
When < τ≤0.1, the annular gap type is big gap type.
Correspondingly, in the step S300, pump displacement calculation formula corresponding to the small gap type are as follows:
γQ is smallQb=γV is smallvb+γ
In the formula,
Wherein, QbTo pump total displacement, m3/s；M is tool string quality, kg；G is acceleration of gravity, m/s2；ρ is well liquid
Volume density, kg/m3；For tool string front end external diameter, m；L1For tool string front end length, m；For tool string rear end outer diameter, m；L2
For tool string rear end length, m；α is hole angle, deg；μμFor wellbore fluid power coefficient of viscosity, Pas；For pit shaft internal diameter,
m；vbFor tool string lowering velocity, m/s；dCFor end diameter, m；PjkFor well head pressure, Pa；H is vertical depth where tool string,
m；L is well depth where tool string, m.
Correspondingly, in the step S300, pump displacement calculation formula corresponding to the big gap type are as follows:
In the formula,
Wherein, QbTo pump total displacement, m3/s；M is tool string quality, kg；G is acceleration of gravity, m/s2；ρ is well liquid
Volume density, kg/m3；For tool string front end external diameter, m；L1For tool string front end length, m；For tool string rear end outer diameter, m；L2
For tool string rear end length, m；α is hole angle, deg；μμFor wellbore fluid power coefficient of viscosity, Pas；For pit shaft internal diameter,
m；vbFor tool string lowering velocity, m/s；dCFor end diameter, m；PjkFor well head pressure, Pa；H is vertical depth where tool string,
m；L is well depth where tool string, m.
As shown in Figure 1.Tool string stress is gravity G, buoyancy FIt is floating, (horizontal well) borehole wall is to the support force of tool string
FN, end tension is FC, the borehole wall is to tool string frictional force Ff, wellbore fluid is to tool string internal friction FIt is viscous, tool string is by pit shaft
Liquid axial compressive force FP。
Wherein, the stress balance equation of tool string are as follows:
A) calculation formula of gravity are as follows:
G=mg (2)
In formula (2), m is tool string quality, kg；
G is acceleration of gravity, m/s2。
B) calculation formula of buoyancy are as follows:
In formula (3), ρ is wellbore fluid density, kg/m3；
φ1For tool string front end external diameter, m；
L1For tool string front end length, m；
φ2For tool string rear end outer diameter, m；
L2For tool string rear end length, m.
C) calculation formula of frictional force are as follows:
Ff=μ FN=μ (G-FIt is floating)sinα (4)
In formula (4), μ is tool string and wall friction coefficient；
α is hole angle, deg.
D) calculation formula of internal friction are as follows:
In formula (5), μμFor wellbore fluid power coefficient of viscosity, Pas；
v1The flow rate of liquid between tool string and pit shaft, m/s；
φ is pit shaft internal diameter, m.
In the application embodiment, the relationship of total flow and clearance flow and useful work flow in pumping procedure are as follows:
Qb=Q+Q1 (6)
In formula, QbTo pump total flow, m3/s；
Q is to be useful work flow, m to tool string3/s；
Q1The flow between tool string and pit shaft, m3/s。
Tool string does the calculation formula of useful work flow Q are as follows:
In formula (7), vbFor tool string lowering velocity, m/s.
In the application embodiment, flow Q between tool string and pit shaft1Calculation formula are as follows:
Formula (7), formula (8) are substituted into formula (6), arrangement can obtain:
Formula (9) are substituted into formula (5), arrangement can obtain:
E) calculation formula of the wellbore fluid to the axial compressive force of tool string are as follows:
In formula (11), P2For tool string rear end fluid pressure, Pa；
P1For tool string front end fluid pressure, Pa；
Δ P is that pressure at two ends is poor, Δ P=P2-P1, Pa；
dCFor end diameter, m.
In the application embodiment, consider to lose along stroke pressure, tool string rear end fluid pressure P2Calculation formula are as follows:
In formula (12), PjkFor well head pressure, Pa；
H is vertical depth where tool string, m；
L is well depth where tool string, m.
In the application embodiment, annular gap is constituted between tool string and pit shaft.According to annular gap size and well
Cylinder internal diameter ratio size, judges using small gap formula (the corresponding pump displacement calculation formula of small gap type) or big gap
Formula (the corresponding pump displacement calculation formula of big gap type), wherein the calculation formula of gap ratio are as follows:
In formula (13), τ is gap ratio.
In the application embodiment, as τ≤0.05, using small gap formula, as 0.05 < τ≤0.1, using big
Gap formula.
In the application embodiment, flow Q between tool string and pit shaft1With tool string lowering velocity vbBetween relationship, use
Calculation formula when small gap formula are as follows:
In formula (14), ε is relative eccentric ratio, takes ε=1.
In the application embodiment, flow Q between tool string and pit shaft1With tool string lowering velocity vbBetween relationship, use
Calculation formula when big gap formula are as follows:
Formula (7), formula (14) are substituted into formula (6), (tool string) pressure at two ends that can obtain small gap type is poor:
Formula (7), formula (15) are substituted into formula (6), (tool string) pressure at two ends that can obtain big gap type is poor:
Formula (12), formula (16) are substituted into formula (11), axial direction pressure of the wellbore fluid to tool string of small gap type can be obtained
Power:
Formula (12), formula (17) are substituted into formula (11), axial direction pressure of the wellbore fluid to tool string of big gap type can be obtained
Power:
F) calculation formula of end tension are as follows:
FC=(G-FIt is floating)(cosα-μsinα)+βαβmβP (20)
In formula (20), βαCoefficient is influenced for hole angle；
βmCoefficient is influenced for tool string quality；
βPFor wellhead pressures affect coefficient.
Wherein, hole angle influences factor betaαCalculation formula are as follows:
Tool string quality influences factor betamCalculation formula are as follows:
Wellhead pressures affect factor betaPCalculation formula are as follows:
Above-mentioned formula (formula (2), (3), (4), (10), (18), (20)) are substituted into formula (1), arrangement can obtain, small gap
Q under typebWith vbRelationship are as follows:
γQ is smallQb=γV is smallvb+γ (24)
In formula,
Above-mentioned formula (formula (2), (3), (4), (10), (19), (20)) are substituted into formula (1), arrangement can obtain, big gap
Q under typebWith vbRelationship are as follows:
γQ is bigQb=γV is bigvb+γ (25)
In formula,
Please refer to Fig. 3.A kind of horizontal well pump-down tool pump displacement computing device is also provided in the application embodiment, is wrapped
It includes: module 10 is obtained, for obtaining pump-down tool string parameter and horizontal well parameter；Determining module 20, for determining the pump
Send annular gap type between tool string and the horizontal well pit shaft；Computing module 30, for according to the annular gap type
Corresponding pump displacement calculation formula calculates pumping total displacement.
Horizontal well pump-down tool pump displacement computing device provided in the application embodiment pumps total row calculating
Pump-down tool parameter and horizontal well parameter are considered when amount, and according between the pump-down tool string and the horizontal well pit shaft
Annular gap type selects corresponding pump displacement calculation formula to calculate pumping total displacement, and Consideration is comprehensive, can be accurate
Description influences each influence factor and interaction of pump displacement, therefore, the horizontal well pump-down tool pump displacement calculating side
Method can obtain accurate pump displacement.
In this application, computing device can be implemented in any suitable manner.Specifically, for example, computing device can be with
The computer-readable program generation for taking such as microprocessor or processor and storage that can be executed by the microprocessor or processor
Computer-readable medium, logic gate, switch, the specific integrated circuit (Application of code (such as software or firmware)
Specific Integrated Circuit, ASIC), programmable logic controller (PLC) (Programmable Logic
Controller, PLC) and insertion micro-control unit (Microcontroller Unit, MCU) form, the example of above-mentioned module
Son include but is not limited to following micro-control unit: ARC 625D, Atmel AT91SAM, Microchip PIC18F26K20 and
Silicone Labs C8051F320.Those skilled in the art are it is to be understood that in addition to pure computer readable program code side
Formula realizes other than the function of the computing module, completely can be by the way that method and step is carried out programming in logic come so that control unit
Identical function is realized in the form of logic gate, switch, specific integrated circuit, programmable logic controller (PLC) and insertion micro-control unit etc.
Energy.
In obtaining module 10, the pump-down tool parameter includes: pump-down tool string quality；Outside pump-down tool string front end
Diameter；Pump-down tool string front end length；Pump-down tool string rear end outer diameter；Pump-down tool string rear end length；Pump-down tool string and level
Well wall friction coefficient；End diameter；Vertical depth where pump-down tool string；Well depth where pump-down tool string；Under pump-down tool string
Put speed.
The horizontal well parameter includes: wellbore fluid density；Hole angle；Wellbore fluid coefficient of dynamic viscosity；Pit shaft internal diameter；
Well head pressure.Horizontal well parameter can also include tool string and wall friction coefficient (μ).
As it can be seen that horizontal well pump-down tool pump displacement computing device provided in the application embodiment is calculating pumping
Consider that wellbore parameters, casing size, tool string weight, tool string size, well head pressure, cable lowering velocity etc. are more when total displacement
The each influence factor and interaction of accurate description influence pump displacement, therefore, the horizontal well pump are capable of in the influence of a variable
Send tool pumping discharge capacity account method that can obtain accurate pump displacement.
It is more accurate to make to obtain calculated result, in the determining module 20, according to the annular gap size and well
Cylinder internal diameter ratio determines the annular gap type according to pre-defined rule.Wherein, the annular gap size and pit shaft internal diameter ratio
Value is calculated using following formula (gap is than formula):
Wherein, τ is annular gap size and pit shaft internal diameter ratio, dimensionless；For pit shaft internal diameter, mm；For tool string
Front end external diameter, m.
Specifically, the pre-defined rule are as follows: as τ≤0.05, the annular gap type is small gap type, when 0.05
When < τ≤0.1, the annular gap type is big gap type.
Correspondingly, in the computing module 30, pump displacement calculation formula corresponding to the small gap type are as follows:
γQ is smallQb=γV is smallvb+γ
In the formula,
Wherein, QbTo pump total displacement, m3/s；M is tool string quality, kg；G is acceleration of gravity, m/s2；ρ is well liquid
Volume density, kg/m3；For tool string front end external diameter, m；L1For tool string front end length, m；For tool string rear end outer diameter, m；L2
For tool string rear end length, m；α is hole angle, deg；μμFor wellbore fluid power coefficient of viscosity, Pas；For pit shaft internal diameter,
m；vbFor tool string lowering velocity, m/s；dCFor end diameter, m；PjkFor well head pressure, Pa；H is vertical depth where tool string,
m；L is well depth where tool string, m.
Correspondingly, in the computing module 30, pump displacement calculation formula corresponding to the big gap type are as follows:
γQ is bigQb=γV is bigvb+γ
In the formula,
Wherein, QbTo pump total displacement, m3/s；M is tool string quality, kg；G is acceleration of gravity, m/s2；ρ is well liquid
Volume density, kg/m3；For tool string front end external diameter, m；L1For tool string front end length, m；For tool string rear end outer diameter, m；
L2For tool string rear end length, m；α is hole angle, deg；μμFor wellbore fluid power coefficient of viscosity, Pas；For in pit shaft
Diameter, m；vbFor tool string lowering velocity, m/s；dCFor end diameter, m；PjkFor well head pressure, Pa；H is that tool string place is hung down
It is deep, m；L is well depth where tool string, m.
As shown in Figure 1.Tool string stress is gravity G, buoyancy FIt is floating, (horizontal well) borehole wall is to the support force of tool string
FN, end tension is FC, the borehole wall is to tool string frictional force Ff, wellbore fluid is to tool string internal friction FIt is viscous, tool string is by pit shaft
Liquid axial compressive force FP。
Wherein, the stress balance equation of tool string are as follows:
G) calculation formula of gravity are as follows:
G=mg (2)
In formula (2), m is tool string quality, kg；
G is acceleration of gravity, m/s2。
H) calculation formula of buoyancy are as follows:
In formula (3), ρ is wellbore fluid density, kg/m3；
φ1For tool string front end external diameter, m；
L1For tool string front end length, m；
φ2For tool string rear end outer diameter, m；
L2For tool string rear end length, m.
I) calculation formula of frictional force are as follows:
Ff=μ FN=μ (G-FIt is floating)sinα (4)
In formula (4), μ is tool string and wall friction coefficient；
α is hole angle, deg.
J) calculation formula of internal friction are as follows:
In formula (5), μμFor wellbore fluid power coefficient of viscosity, Pas；
v1The flow rate of liquid between tool string and pit shaft, m/s；
φ is pit shaft internal diameter, m.
In the application embodiment, the relationship of total flow and clearance flow and useful work flow in pumping procedure are as follows:
Qb=Q+Q1 (6)
In formula, QbTo pump total flow, m3/s；
Q is to be useful work flow, m to tool string3/s；
Q1The flow between tool string and pit shaft, m3/s。
Tool string does the calculation formula of useful work flow Q are as follows:
In formula (7), vbFor tool string lowering velocity, m/s.
In the application embodiment, flow Q between tool string and pit shaft1Calculation formula are as follows:
Formula (7), formula (8) are substituted into formula (6), arrangement can obtain:
Formula (9) are substituted into formula (5), arrangement can obtain:
K) calculation formula of the wellbore fluid to the axial compressive force of tool string are as follows:
In formula (11), P2For tool string rear end fluid pressure, Pa；
P1For tool string front end fluid pressure, Pa；
Δ P is that pressure at two ends is poor, Δ P=P2-P1, Pa；
dCFor end diameter, m.
In the application embodiment, consider to lose along stroke pressure, tool string rear end fluid pressure P2Calculation formula are as follows:
In formula (12), PjkFor well head pressure, Pa；
H is vertical depth where tool string, m；
L is well depth where tool string, m.
In the application embodiment, annular gap is constituted between tool string and pit shaft.According to annular gap size and well
Cylinder internal diameter ratio size, judges using small gap formula (the corresponding pump displacement calculation formula of small gap type) or big gap
Formula (the corresponding pump displacement calculation formula of big gap type), wherein the calculation formula of gap ratio are as follows:
In formula (13), τ is gap ratio.
In the application embodiment, as τ≤0.05, using small gap formula, as 0.05 < τ≤0.1, using big
Gap formula.
In the application embodiment, flow Q between tool string and pit shaft1With tool string lowering velocity vbBetween relationship, use
Calculation formula when small gap formula are as follows:
In formula (14), ε is relative eccentric ratio, takes ε=1.
In the application embodiment, flow Q between tool string and pit shaft1With tool string lowering velocity vbBetween relationship, use
Calculation formula when big gap formula are as follows:
Formula (7), formula (14) are substituted into formula (6), (tool string) pressure at two ends that can obtain small gap type is poor:
Formula (7), formula (15) are substituted into formula (6), (tool string) pressure at two ends that can obtain big gap type is poor:
Formula (12), formula (16) are substituted into formula (11), axial direction pressure of the wellbore fluid to tool string of small gap type can be obtained
Power:
Formula (12), formula (17) are substituted into formula (11), axial direction pressure of the wellbore fluid to tool string of big gap type can be obtained
Power:
L) calculation formula of end tension are as follows:
FC=(G-FIt is floating)(cosα-μsinα)+βαβmβP (20)
In formula (20), βαCoefficient is influenced for hole angle；
βmCoefficient is influenced for tool string quality；
βPFor wellhead pressures affect coefficient.
Wherein, hole angle influences factor betaαCalculation formula are as follows:
Tool string quality influences factor betamCalculation formula are as follows:
Wellhead pressures affect factor betaPCalculation formula are as follows:
Above-mentioned formula (formula (2), (3), (4), (10), (18), (20)) are substituted into formula (1), arrangement can obtain, small gap
Q under typebWith vbRelationship are as follows:
γQ is smallQb=γV is smallvb+γ (24)
In formula,
Above-mentioned formula (formula (2), (3), (4), (10), (19), (20)) are substituted into formula (1), arrangement can obtain, big gap
Q under typebWith vbRelationship are as follows:
γQ is bigQb=γV is bigvb+γ (25)
In formula,
In the application embodiment, a kind of computer storage medium is also provided, the computer storage medium is stored with meter
Calculation machine program, the computer program realize following method and step when being executed by processor: obtain pump-down tool string parameter and
Horizontal well parameter；Determine annular gap type between the pump-down tool string and the horizontal well pit shaft；According to the annulus
Pump displacement calculation formula corresponding to gap type calculates pumping total displacement.
For convenience of description, it is divided into various modules when description apparatus above with function to describe respectively.Certainly, implementing this
The function of each module can be realized in the same or multiple software and or hardware when application.
As seen through the above description of the embodiments, those skilled in the art can be understood that the application can
It realizes by means of software and necessary general hardware platform.Based on this understanding, the technical solution essence of the application
On in other words the part that contributes to existing technology can be embodied in the form of software products.In a typical configuration
In, calculating equipment includes one or more processors (CPU), input/output interface, network interface and memory.The computer is soft
Part product may include that some instructions are used so that a computer equipment (can be personal computer, server or network
Equipment etc.) execute method described in certain parts of each embodiment of the application or embodiment.The computer software produces
Product can store in memory, and memory may include the non-volatile memory in computer-readable medium, random access memory
The forms such as device (RAM) and/or Nonvolatile memory, such as read-only memory (ROM) or flash memory (flash RAM).Memory is to calculate
The example of machine readable medium.Computer-readable medium includes that permanent and non-permanent, removable and non-removable media can be with
Realize that information is stored by any method or technique.Information can be computer readable instructions, data structure, the module of program or
Other data.The example of the storage medium of computer includes, 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 techniques, CD-ROM are read-only
Memory (CD-ROM), digital versatile disc (DVD) or other optical storage, magnetic cassettes, tape magnetic disk storage or
Other magnetic storage devices or any other non-transmission medium, can be used for storage can be accessed by a computing device information.According to
Herein defines, and computer-readable medium does not include of short duration computer readable media (transitory media), such as modulation
Data-signal and carrier wave.
Each embodiment in this specification is described in a progressive manner, same and similar between each embodiment
Part may refer to each other, what each embodiment stressed is the difference with other embodiment.In particular, right
For electronic apparatus embodiment, since the software function that its processor executes is substantially similar to method implementation, so
It is described relatively simple, related place illustrates referring to the part of method implementation.
Although depicting the application by embodiment, it will be appreciated by the skilled addressee that there are many deformations by the application
With variation without departing from spirit herein, it is desirable to which the attached claims include these deformations and change without departing from the application
Spirit.
All articles and reference disclosed, including patent application and publication, for various purposes by quoting knot
Together in this.Describing combined term " substantially by ... constitute " should include identified element, ingredient, component or step and reality
Other elements, ingredient, component or the step of the basic novel feature of the combination are not influenced in matter.Using term "comprising" or
" comprising " describes the combination of element here, ingredient, component or step it is also contemplated that substantially by these elements, ingredient, component
Or the embodiment that step is constituted.Here by using term " can with ", it is intended to illustrate that " can with " includes described any
Attribute is all optional.
It should be understood that above description is to illustrate rather than to be limited.By reading above-mentioned retouch
It states, many embodiments and many applications except provided example all will be aobvious and easy for a person skilled in the art
See.Therefore, the range of this introduction should not be determined referring to foregoing description, but should referring to appended claims and this
The full scope of the equivalent that a little claims are possessed determines.For comprehensive purpose, all articles and with reference to including special
The disclosure of benefit application and bulletin is all by reference to being incorporated herein.Theme disclosed herein is omitted in preceding claims
Any aspect is not intended to abandon the body matter, also should not be considered as inventor the theme is not thought of as it is disclosed
A part of subject matter.
Claims (15)
1. a kind of horizontal well pump-down tool pump displacement calculation method characterized by comprising
Obtain pump-down tool string parameter and horizontal well parameter；
Determine annular gap type between the pump-down tool string and the horizontal well pit shaft；
Pumping total displacement is calculated according to pump displacement calculation formula corresponding to the annular gap type.
2. horizontal well pump-down tool pump displacement calculation method as described in claim 1, it is characterised in that: the pump-down tool
Parameter includes: pump-down tool string quality；Pump-down tool string front end external diameter；Pump-down tool string front end length；Pump-down tool string rear end
Outer diameter；Pump-down tool string rear end length；Pump-down tool string and Horizontal Well wall friction coefficient；End diameter；Pump-down tool string
Place vertical depth；Well depth where pump-down tool string；Pump-down tool string lowering velocity.
3. horizontal well pump-down tool pump displacement calculation method as claimed in claim 2, it is characterised in that: the horizontal well ginseng
Number includes: wellbore fluid density；Hole angle；Wellbore fluid coefficient of dynamic viscosity；Pit shaft internal diameter；Well head pressure.
4. horizontal well pump-down tool pump displacement calculation method as claimed in claim 3, it is characterised in that: according to the annular
Gap size determines the annular gap type according to pre-defined rule with pit shaft internal diameter ratio；Wherein, the annular gap size
It is calculated with pit shaft internal diameter ratio using following formula:
Wherein, τ is annular gap size and pit shaft internal diameter ratio, dimensionless；For pit shaft internal diameter, mm；Outside for tool string front end
Diameter, m.
5. horizontal well pump-down tool pump displacement calculation method as claimed in claim 4, it is characterised in that: the pre-defined rule
Are as follows: as τ≤0.05, the annular gap type is small gap type, as 0.05 < τ≤0.1, the annular gap type
For big gap type.
6. horizontal well pump-down tool pump displacement calculation method as claimed in claim 5, it is characterised in that: the small gap class
Pump displacement calculation formula corresponding to type are as follows:
γQ is smallQb=γV is smallvb+γ
In the formula,
Wherein, QbTo pump total displacement, m3/s；M is tool string quality, kg；G is acceleration of gravity, m/s2；ρ is that wellbore fluid is close
Degree, kg/m3；For tool string front end external diameter, m；L1For tool string front end length, m；For tool string rear end outer diameter, m；L2For
Tool string rear end length, m；α is hole angle, deg；μμFor wellbore fluid power coefficient of viscosity, Pas；For pit shaft internal diameter, m；
vbFor tool string lowering velocity, m/s；dCFor end diameter, m；PjkFor well head pressure, Pa；H is vertical depth where tool string, m；l
The well depth where tool string, m.
7. horizontal well pump-down tool pump displacement calculation method as claimed in claim 5, it is characterised in that: the big gap class
Pump displacement calculation formula corresponding to type are as follows:
γQ is bigQb=γV is bigvb+γ
In the formula,
Wherein, QbTo pump total displacement, m3/s；M is tool string quality, kg；G is acceleration of gravity, m/s2；ρ is that wellbore fluid is close
Degree, kg/m3；For tool string front end external diameter, m；L1For tool string front end length, m；For tool string rear end outer diameter, m；L2For work
Tool string rear end length, m；α is hole angle, deg；μμFor wellbore fluid power coefficient of viscosity, Pas；For pit shaft internal diameter, m；vb
For tool string lowering velocity, m/s；dCFor end diameter, m；PjkFor well head pressure, Pa；H is vertical depth where tool string, m；L is
Well depth where tool string, m.
8. a kind of horizontal well pump-down tool pump displacement computing device characterized by comprising
Module is obtained, for obtaining pump-down tool string parameter and horizontal well parameter；
Determining module, for determining annular gap type between the pump-down tool string and the horizontal well pit shaft；
Computing module calculates pumping total displacement for the pump displacement calculation formula according to corresponding to the annular gap type.
9. horizontal well pump-down tool pump displacement computing device as claimed in claim 8, it is characterised in that: the pump-down tool
Parameter includes: pump-down tool string quality；Pump-down tool string front end external diameter；Pump-down tool string front end length；Pump-down tool string rear end
Outer diameter；Pump-down tool string rear end length；Pump-down tool string and Horizontal Well wall friction coefficient；End diameter；Pump-down tool string
Place vertical depth；Well depth where pump-down tool string；Pump-down tool string lowering velocity.
10. horizontal well pump-down tool pump displacement computing device as claimed in claim 9, it is characterised in that: the horizontal well
Parameter includes: wellbore fluid density；Hole angle；Wellbore fluid coefficient of dynamic viscosity；Pit shaft internal diameter；Well head pressure.
11. horizontal well pump-down tool pump displacement computing device as claimed in claim 10, it is characterised in that: according to the ring
Shape gap size determines the annular gap type according to pre-defined rule with pit shaft internal diameter ratio；Wherein, the annular gap is big
It is small to be calculated with pit shaft internal diameter ratio using following formula:
Wherein, τ is annular gap size and pit shaft internal diameter ratio, dimensionless；For pit shaft internal diameter, mm；For tool string front end
Outer diameter, m.
12. horizontal well pump-down tool pump displacement computing device as claimed in claim 11, it is characterised in that: the pre- set pattern
Then are as follows: as τ≤0.05, the annular gap type is small gap type, as 0.05 < τ≤0.1, the annular gap class
Type is big gap type.
13. horizontal well pump-down tool pump displacement computing device as claimed in claim 12, it is characterised in that: the small gap
Pump displacement calculation formula corresponding to type are as follows:
γQ is smallQb=γV is smallvb+γ
In the formula,
Wherein, QbTo pump total displacement, m3/s；M is tool string quality, kg；G is acceleration of gravity, m/s2；ρ is that wellbore fluid is close
Degree, kg/m3；For tool string front end external diameter, m；L1For tool string front end length, m；For tool string rear end outer diameter, m；L2For
Tool string rear end length, m；α is hole angle, deg；μμFor wellbore fluid power coefficient of viscosity, Pas；For pit shaft internal diameter, m；
vbFor tool string lowering velocity, m/s；dCFor end diameter, m；PjkFor well head pressure, Pa；H is vertical depth where tool string, m；l
The well depth where tool string, m.
14. horizontal well pump-down tool pump displacement computing device as claimed in claim 12, it is characterised in that: the big gap
Pump displacement calculation formula corresponding to type are as follows:
γQ is bigQb=γV is bigvb+γ
In the formula,
Wherein, QbTo pump total displacement, m3/s；M is tool string quality, kg；G is acceleration of gravity, m/s2；ρ is that wellbore fluid is close
Degree, kg/m3；For tool string front end external diameter, m；L1For tool string front end length, m；For tool string rear end outer diameter, m；L2For work
Tool string rear end length, m；α is hole angle, deg；μμFor wellbore fluid power coefficient of viscosity, Pas；For pit shaft internal diameter, m；vb
For tool string lowering velocity, m/s；dCFor end diameter, m；PjkFor well head pressure, Pa；H is vertical depth where tool string, m；L is
Well depth where tool string, m.
15. a kind of computer storage medium, which is characterized in that the computer storage medium is stored with computer program, described
Following method and step is realized when computer program is executed by processor: obtaining pump-down tool string parameter and horizontal well parameter；Really
Annular gap type between the fixed pump-down tool string and the horizontal well pit shaft；According to corresponding to the annular gap type
Pump displacement calculation formula calculates pumping total displacement.
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| CN114329956A (en) * | 2021-12-27 | 2022-04-12 | 重庆科技学院 | Horizontal well pumping perforation critical displacement control analysis method, system and terminal |
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| CN114329956A (en) * | 2021-12-27 | 2022-04-12 | 重庆科技学院 | Horizontal well pumping perforation critical displacement control analysis method, system and terminal |
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