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

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 thereof, and computer storage medium

technical field

The present application relates to the technical field of petroleum exploitation, and in particular, to a pumping displacement calculation method and device thereof, and a computer storage medium.

Background technique

Horizontal well pumping tools are widely used in practical production, but the pumping displacement is mostly determined by experience. The existing calculation methods have a single formula and few factors to consider, and cannot accurately describe the influencing factors that affect the pumping displacement and their effects. interaction, so that accurate pumping displacement cannot be obtained.

SUMMARY OF THE INVENTION

In view of the deficiencies of the prior art, the purpose of the present application is to provide a pumping displacement calculation method, a device thereof, and a computer storage medium, so as to obtain an accurate pumping displacement.

The technical solution of this application is as follows:

A method for calculating the pumping displacement of a horizontal well pumping tool, comprising:

Obtain pumping tool string parameters and horizontal well parameters;

determining a type of annular gap between the pumping tool string and the horizontal wellbore;

Calculate the total pumping displacement according to the pumping displacement calculation formula corresponding to the annular gap type.

As a preferred embodiment, the parameters of the pumping tool include: the quality of the pumping tool string; the outer diameter of the front end of the pumping tool string; the length of the front end of the pumping tool string; the outer diameter of the rear end of the pumping tool string; The length of the back end; the friction coefficient between the pumping tool string and the horizontal well wall; the diameter of the cable head; the vertical depth where the pumping tool string is located; the well depth where the pumping tool string is located;

As a preferred embodiment, the horizontal well parameters include: wellbore fluid density; well inclination; wellbore fluid dynamic viscosity coefficient; wellbore inner diameter; 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 wellbore; wherein, the ratio of the annular gap size to the inner diameter of the wellbore is calculated using the following formula:

Among them, τ is the ratio of the annular gap size to the inner diameter of the wellbore, dimensionless; φ is the inner diameter of the wellbore, m; φ1 is the outer diameter of the front end _of the tool string, m.

As a preferred embodiment, the predetermined rule is: when τ≤0.05, the annular slit type is a small slit type, and when 0.05<τ≤0.1, the annular slit type is a large slit type.

As a preferred embodiment, the calculation formula of the pumping displacement corresponding to the small gap type is:

γ _{Q small} Q _b =γ _{v small} v _b +γ

In this formula,

Among them, Q _b is the total pumping displacement, m ³ /s; m is the tool string mass, kg; g is the acceleration of gravity, m/s ² ; ρ is the wellbore liquid density, kg/m ³ ; φ ₁ is the tool string Front end outer diameter, m; L ₁ is the length of the front end of the tool string, m; φ ₂ is the outer diameter of the rear end of the tool string, m; L ₂ is the length of the rear end of the tool string, m; α is the well inclination, deg; μ _μ is Wellbore fluid dynamic viscosity coefficient, Pa s; φ is the inner diameter of the wellbore, m; v _b is the tool string running speed, m/s; d _C is the diameter of the cable head, m; P _jk is the wellhead pressure, Pa; h is the tool Vertical depth where the string is located, m; l is the well depth where the tool string is located, m.

As a preferred embodiment, the calculation formula of the pumping displacement corresponding to the large gap type is:

γ _{Q large} Q _b = γ _{v large} v _b +γ

In this formula,

Among them, Q _b is the total pumping displacement, m ³ /s; m is the tool string mass, kg; g is the acceleration of gravity, m/s ² ; ρ is the wellbore liquid density, kg/m ³ ; φ ₁ is the tool string Front end outer diameter, m; L ₁ is the length of the front end of the tool string, m; φ ₂ is the outer diameter of the rear end of the tool string, m; L ₂ is the length of the rear end of the tool string, m; α is the well inclination, deg; μ _μ is Wellbore fluid dynamic viscosity coefficient, Pa s; φ is the inner diameter of the wellbore, m; v _b is the tool string running speed, m/s; d _C is the diameter of the cable head, m; P _jk is the wellhead pressure, Pa; h is the tool Vertical depth where the string is located, m; l is the well depth where the tool string is located, m.

A device for calculating the pumping displacement of a horizontal well pumping tool, comprising:

an acquisition module for acquiring pumping tool string parameters and horizontal well parameters;

a determination module for determining the type of annular gap between the pumping tool string and the horizontal wellbore;

A calculation module, configured to calculate the total pumping displacement according to the pumping displacement calculation formula corresponding to the annular gap type.

As a preferred embodiment, the parameters of the pumping tool include: the quality of the pumping tool string; the outer diameter of the front end of the pumping tool string; the length of the front end of the pumping tool string; the outer diameter of the rear end of the pumping tool string; The length of the back end; the friction coefficient between the pumping tool string and the horizontal well wall; the diameter of the cable head; the vertical depth where the pumping tool string is located; the well depth where the pumping tool string is located;

As a preferred embodiment, the horizontal well parameters include: wellbore fluid density; well inclination; wellbore fluid dynamic viscosity coefficient; wellbore inner diameter; 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 wellbore; wherein, the ratio of the annular gap size to the inner diameter of the wellbore is calculated using the following formula:

Among them, τ is the ratio of the annular gap size to the inner diameter of the wellbore, dimensionless; φ is the inner diameter of the wellbore, m; φ1 is the outer diameter of the front end _of the tool string, m.

As a preferred embodiment, the predetermined rule is: when τ≤0.05, the annular slit type is a small slit type, and when 0.05<τ≤0.1, the annular slit type is a large slit type.

As a preferred embodiment, the calculation formula of the pumping displacement corresponding to the small gap type is:

γ _{Q small} Q _b =γ _{v small} v _b +γ

In this formula,

Among them, Q _b is the total pumping displacement, m ³ /s; m is the tool string mass, kg; g is the acceleration of gravity, m/s ² ; ρ is the wellbore liquid density, kg/m ³ ; φ ₁ is the tool string Front end outer diameter, m; L ₁ is the length of the front end of the tool string, m; φ ₂ is the outer diameter of the rear end of the tool string, m; L ₂ is the length of the rear end of the tool string, m; α is the well inclination, deg; μ _μ is Wellbore fluid dynamic viscosity coefficient, Pa s; φ is the inner diameter of the wellbore, m; v _b is the tool string running speed, m/s; d _C is the diameter of the cable head, m; P _jk is the wellhead pressure, Pa; h is the tool Vertical depth where the string is located, m; l is the well depth where the tool string is located, m.

As a preferred embodiment, the calculation formula of the pumping displacement corresponding to the large gap type is:

γ _{Q large} Q _b = γ _{v large} v _b +γ

In this formula,

为工具串前端外径，m；L₁为工具串前端长度，m；

为工具串后端外径，m；L₂为工具串后端长度，m；α为井斜角，deg；μ_μ为井筒液体动力黏滞系数，Pa·s；

为井筒内径，m；v_b为工具串下放速度，m/s；d_C为电缆头直径，m；P_jk为井口压力，Pa；h为工具串所在垂深，m；l为工具串所在井深，m。Among them, Q _b is the total pumping displacement, m ³ /s; m is the tool string mass, kg; g is the acceleration of gravity, m/s ² ; ρ is the wellbore liquid density, kg/m ³ ;

is the outer diameter of the front end of the tool string, m; L ₁ is the length of the front end of the tool string, m;

is the outer diameter of the rear end of the tool string, m; L ₂ is the length of the rear end of the tool string, m; α is the well inclination angle, deg; μ _μ is the dynamic viscosity coefficient of the wellbore fluid, Pa s;

is the inner diameter of the wellbore, m; v _b is the running speed of the tool string, m/s; d _C is the diameter of the cable head, m; P _jk is the wellhead pressure, Pa; h is the vertical depth where the tool string is located, m; l is where the tool string is located Well depth, m.

A computer storage medium, the computer storage medium stores a computer program, and when the computer program is executed by a processor, the following method steps are implemented: acquiring pumping tool string parameters and horizontal well parameters; The annular gap type between the horizontal well bores; the total pumping displacement is calculated according to the pumping displacement calculation formula corresponding to the annular gap type.

Beneficial effects:

The method for calculating the pumping displacement of the horizontal well pumping tool provided in the embodiment of the present application considers the pumping tool parameters and the horizontal well parameters when calculating the total pumping displacement, and according to the pumping tool string and the horizontal well The type of annular gap between the wellbore selects the corresponding pumping displacement calculation formula to calculate the total pumping displacement. The factors are comprehensive and can accurately describe the various influencing factors and interactions that affect the pumping displacement. Therefore, the horizontal well pumping The tool pumping displacement calculation method can obtain accurate pumping displacement.

With reference to the following description and drawings, specific embodiments of the invention are disclosed in detail, indicating the manner in which the principles of the invention may be employed. It should be understood that embodiments of the present invention are not thereby limited in scope. Embodiments of the invention include many changes, modifications and equivalents within the spirit and scope of the appended claims.

Features described and/or illustrated for one embodiment may be used in the same or similar manner in one or more other embodiments, in combination with, or instead of features in other embodiments .

It should be emphasized that the term "comprising/comprising" when used herein refers to the presence of a feature, integer, step or component, but does not exclude the presence or addition of one or more other features, integers, steps or components.

Description of drawings

In order to explain the embodiments of the present invention or the technical solutions in the prior art more clearly, the following briefly introduces the accompanying drawings that need to be used in the description of the embodiments or the prior art. Obviously, the accompanying drawings in the following description are only These are some embodiments of the present invention, and for those skilled in the art, other drawings can also be obtained from these drawings without any creative effort.

Figure 1 is a simplified model diagram of a pumping tool string in a horizontal well;

2 is a flowchart of a method for calculating the pumping displacement of a horizontal well pumping tool provided by an embodiment of the present application;

FIG. 3 is a schematic diagram of a device for calculating the pumping displacement of a horizontal well pumping tool according to an embodiment of the present application.

Detailed ways

In order to make those skilled in the art better understand the technical solutions of the present invention, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described The embodiments are only some of the embodiments of the present invention, but not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without creative work shall fall within the protection scope of the present invention.

It should be noted 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 similar expressions used herein are for the purpose of illustration only and do not represent the only embodiment.

Unless otherwise defined, 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 terms used herein in the description of the present invention are for the purpose of describing specific embodiments only, and are not intended to limit the present invention. As used herein, the term "and/or" includes any and all combinations of one or more of the associated listed items.

Please refer to Figure 1 which shows a simplified model of a pumping tool string in a horizontal well. Among them, the pumping tool string for horizontal wells (hereinafter referred to as the tool string) may be composed of multiple tools with different outer diameters and lengths. In the embodiments of the present application, the following stipulations are made on the simplification principle of the tool string model for horizontal wells:

The running direction of the tool string is defined as the positive direction, that is, the x-direction shown in Figure 1 . The tool string is simplified as a stepped shaft, the large size end of the stepped shaft is located at the front of the tool string, and the small size end of the stepped shaft is located at the rear of the tool string. The maximum outer diameter of the tool string is used as a simplified reference. The outer diameter and length of the maximum outer diameter correspond to φ1 and L1 in Figure 1, respectively. If there are other structures in the front of the actual tool string with the maximum outer diameter, they should be removed from the simplified model. ,Not consider. The structure of the rear of the actual tool string with the maximum outer diameter is simplified according to the projected area. The maximum outer diameter of the projected area corresponds to φ2 in Figure 1, and the length of the rear structure of the actual tool string with the maximum outer diameter corresponds to L2 in Figure 1; Actual mass is not simplified.

See Figure 2. Embodiments of the present application provide a method for calculating the pumping displacement of a horizontal well pumping tool, comprising the following steps:

S100, acquiring pumping tool string parameters and horizontal well parameters;

S200. Determine the annular gap type between the pumping tool string and the horizontal wellbore;

S300. Calculate the total pumping displacement according to the pumping displacement calculation formula corresponding to the annular gap type.

The method for calculating the pumping displacement of the horizontal well pumping tool provided in the embodiment of the present application considers the pumping tool parameters and the horizontal well parameters when calculating the total pumping displacement, and according to the pumping tool string and the horizontal well The type of annular gap between the wellbore selects the corresponding pumping displacement calculation formula to calculate the total pumping displacement. The factors are comprehensive and can accurately describe the various influencing factors and interactions that affect the pumping displacement. Therefore, the horizontal well pumping The tool pumping displacement calculation method can obtain accurate pumping displacement.

In step S100, the pumping tool parameters include: the quality of the pumping tool string; the outer diameter of the front end of the pumping tool string; the length of the front end of the pumping tool string; the outer diameter of the rear end of the pumping tool string; the length of the rear end of the pumping tool string ; The friction coefficient between the pumping tool string and the horizontal well wall; the diameter of the cable head; the vertical depth where the pumping tool string is located; the well depth where the pumping tool string is located;

The horizontal well parameters include: wellbore fluid density; well inclination angle; wellbore fluid dynamic viscosity coefficient; wellbore inner diameter; wellhead pressure. Horizontal well parameters may also include the tool string to borehole wall friction coefficient (μ).

It can be seen that the method for calculating the pumping displacement of the horizontal well pumping tool provided in the embodiments of the present application takes into account wellbore parameters, casing size, tool string weight, tool string size, wellhead pressure, cable laying down when calculating the total pumping displacement The influence of multiple variables such as speed can accurately describe the various influencing factors and interactions that affect the pumping displacement. Therefore, the pumping displacement calculation method of the horizontal well pumping tool can obtain accurate pumping displacement.

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 the ratio of the annular gap size to the inner diameter of the wellbore. Wherein, the ratio of the annular gap size to the inner diameter of the wellbore is calculated using the following formula (gap ratio formula):

Among them, τ is the ratio of the annular gap size to the inner diameter of the wellbore, dimensionless; φ is the inner diameter of the wellbore, m; φ1 is the outer diameter of the front end _of the tool string, m.

Specifically, the predetermined rule is: when τ≤0.05, the annular slit type is a small slit type, and when 0.05<τ≤0.1, the annular slit type is a large slit type.

Correspondingly, in the step S300, the calculation formula of the pumping displacement corresponding to the small gap type is:

γ _{Q small} Q _b =γ _{v small} v _b +γ

In this formula,

Among them, Q _b is the total pumping displacement, m ³ /s; m is the tool string mass, kg; g is the acceleration of gravity, m/s ² ; ρ is the wellbore liquid density, kg/m ³ ; φ ₁ is the tool string Front end outer diameter, m; L ₁ is the length of the front end of the tool string, m; φ ₂ is the outer diameter of the rear end of the tool string, m; L ₂ is the length of the rear end of the tool string, m; α is the well inclination, deg; μ _μ is Wellbore fluid dynamic viscosity coefficient, Pa s; φ is the inner diameter of the wellbore, m; v _b is the tool string running speed, m/s; d _C is the diameter of the cable head, m; P _jk is the wellhead pressure, Pa; h is the tool Vertical depth where the string is located, m; l is the well depth where the tool string is located, m.

Correspondingly, in the step S300, the calculation formula of the pumping displacement corresponding to the large gap type is:

γ _{Q large} Q _b = γ _{v large} v _b +γ

In this formula,

为井筒内径，m；v_b为工具串下放速度，m/s；d_C为电缆头直径，m；P_jk为井口压力，Pa；h为工具串所在垂深，m；l为工具串所在井深，m。Among them, Q _b is the total pumping displacement, m ³ /s; m is the tool string mass, kg; g is the acceleration of gravity, m/s ² ; ρ is the wellbore liquid density, kg/m ³ ; φ ₁ is the tool string Front end outer diameter, m; L ₁ is the length of the front end of the tool string, m; φ ₂ is the outer diameter of the rear end of the tool string, m; L ₂ is the length of the rear end of the tool string, m; α is the well inclination, deg; μ _μ is Wellbore fluid dynamic viscosity coefficient, Pa s;

is the inner diameter of the wellbore, m; v _b is the running speed of the tool string, m/s; d _C is the diameter of the cable head, m; P _jk is the wellhead pressure, Pa; h is the vertical depth where the tool string is located, m; l is where the tool string is located Well depth, m.

As shown in Figure 1. The force on the tool string is gravity G, the buoyancy force is F _float , the support force of the (horizontal well) well wall to the tool string is F _N , the tension of the cable head is F _C , the friction force between the well wall and the tool string is F _f , and the wellbore liquid to the tool The friction force F in the string is _sticky , and the tool string is subjected to the axial pressure F _P of the wellbore liquid.

Among them, the force balance equation of the tool string is:

a) The calculation formula of gravity is:

G=mg (2)

In formula (2), m is the mass of the tool string, kg;

g is the acceleration of gravity, m/s ² .

b) The calculation formula of buoyancy is:

In formula (3), ρ is the wellbore liquid density, kg/m ³ ;

φ ₁ is the outer diameter of the front end of the tool string, m;

L ₁ is the length of the front end of the tool string, m;

φ ₂ is the outer diameter of the rear end of the tool string, m;

L ₂ is the length of the rear end of the tool string, m.

c) The calculation formula of friction force is:

F _f = μF _N = μ(GF _float ) sinα (4)

In formula (4), μ is the friction coefficient between the tool string and the borehole wall;

α is the inclination angle, deg.

d) The calculation formula of internal friction force is:

In formula (5), μ _μ is the dynamic viscosity coefficient of the wellbore liquid, Pa s;

v ₁ is the fluid velocity between the tool string and the wellbore, m/s;

φ is the inner diameter of the wellbore, m.

In the embodiment of the present application, the relationship between the total flow rate, the clearance flow rate and the useful work flow rate during the pumping process is:

Q _b =Q+Q ₁ (6)

In the formula, Q _b is the total pumping flow, m ³ /s;

Q is the flow of useful work done to the tool string, m ³ /s;

Q ₁ is the flow rate between the tool string and the wellbore, m ³ /s.

The calculation formula of the useful work flow Q of the tool string is:

In formula (7), v _b is the lowering speed of the tool string, m/s.

In the embodiment of the present application, the calculation formula _of the flow rate Q1 between the tool string and the wellbore is:

Substitute formula (7) and formula (8) into formula (6), and we can get:

Substituting equation (9) into equation (5), we can get:

e) The formula for calculating the axial pressure of the wellbore fluid on the tool string is:

In formula (11), P ₂ is the liquid pressure at the rear end of the tool string, Pa;

P ₁ is the liquid pressure at the front end of the tool string, Pa;

ΔP is the pressure difference between the two ends, ΔP=P ₂ -P ₁ , Pa;

d _C is the diameter of the cable head, m.

In the embodiment of the present application, considering the pressure loss along the process, the calculation formula of the liquid pressure P ₂ at the rear end of the tool string is:

In formula (12), P _jk is the wellhead pressure, Pa;

h is the vertical depth of the tool string, m;

l is the depth of the well where the tool string is located, m.

In the embodiment of the present application, an annular gap is formed between the tool string and the wellbore. According to the ratio of the annular gap size to the borehole inner diameter, it is determined whether to use the small gap formula (the calculation formula of pumping displacement corresponding to the small gap type) or the large gap formula (the calculation formula of the pumping displacement corresponding to the large gap type), where the gap ratio The calculation formula is:

In formula (13), τ is the gap ratio.

In the embodiment of the present application, when τ≤0.05, the small gap formula is used, and when 0.05<τ≤0.1, the large gap formula is used.

In the embodiment of the present application, the relationship between the flow rate Q ₁ between the tool string and the wellbore and the tool string running speed v _b , when the small gap formula is adopted, the calculation formula is:

In formula (14), ε is the relative eccentricity, and ε=1.

In the embodiment of the present application, the relationship between the flow rate Q ₁ between the tool string and the wellbore and the tool string running speed v _b , when the large gap formula is used, the calculation formula is:

Substituting equations (7) and (14) into equation (6), the pressure difference between the two ends of the small gap type (tool string) can be obtained:

Substituting equations (7) and (15) into equation (6), the pressure difference between the two ends of the large gap type (tool string) can be obtained:

Substituting Equation (12) and Equation (16) into Equation (11), the axial pressure of the wellbore liquid with small gap on the tool string can be obtained:

Substituting Equation (12) and Equation (17) into Equation (11), the axial pressure of the large gap type wellbore liquid on the tool string can be obtained:

f) The calculation formula of cable head tension is:

F _{C =} (GF _float )(cosα- _μsinα )+ _βαβmβP (20)

In formula (20), β _α is the influence coefficient of well inclination angle;

β _m is the tool string quality influence coefficient;

β _P is the influence coefficient of wellhead pressure.

Among them, the calculation formula of the inclination angle influence coefficient β _α is:

The formula for calculating the tool string quality influence coefficient β _m is:

The calculation formula of the wellhead pressure influence coefficient β _P is:

Substitute the above formulas (formulas (2), (3), (4), (10), (18), (20)) into formula (1), and we can get the relationship between Q _b and v _b under the small gap type for:

γ _{Q small} Q _b = γ _{v small} v _b +γ (24)

In the formula,

Substitute the above formulas (formulas (2), (3), (4), (10), (19), (20)) into formula (1), and we can get the relationship between Q _b and v _b under the large gap type for:

γ _{Q large} Q _b = γ _{v large} v _b +γ (25)

In the formula,

See Figure 3. Embodiments of the present application also provide a pumping displacement calculation device for a horizontal well pumping tool, including: an acquisition module 10 for acquiring pumping tool string parameters and horizontal well parameters; a determination module 20 for determining the pump The type of annular gap between the tool string and the horizontal wellbore; the calculation module 30 is configured to calculate the total pumping displacement according to the pumping displacement calculation formula corresponding to the annular gap type.

The device for calculating the pumping displacement of the horizontal well pumping tool provided in the embodiment of the present application considers the parameters of the pumping tool and the parameters of the horizontal well when calculating the total pumping displacement, and calculates the pumping tool string according to the pumping tool string and the water The type of annular gap between horizontal well boreholes selects the corresponding pumping displacement calculation formula to calculate the total pumping displacement. Considering factors are comprehensive, it can accurately describe the various influencing factors and interactions that affect the pumping displacement. Therefore, the horizontal well pump The calculation method of the pumping displacement of the conveying tool can obtain the accurate pumping displacement.

In this application, computing devices may be implemented in any suitable manner. Specifically, for example, a computing device may take the form of, for example, a microprocessor or processor and a computer-readable medium storing computer-readable program code (eg, software or firmware) executable by the microprocessor or processor, logic gates, switches, Application Specific Integrated Circuit (ASIC), Programmable Logic Controller (PLC) and embedded Microcontroller Unit (MCU) form, examples of the above modules include but are not limited to the following microcontroller units: ARC 625D, Atmel AT91SAM, Microchip PIC18F26K20, and Silicon Labs C8051F320. Those skilled in the art should also know that, in addition to realizing the functions of the computing module in the form of purely computer-readable program codes, the control unit can be programmed with logic gates, switches, application-specific integrated circuits, programmable logic gates, switches, application-specific integrated circuits, programmable logic The same function can be realized in the form of logic controller and embedded microcontroller unit.

In the acquisition module 10, the pumping tool parameters include: the quality of the pumping tool string; the outer diameter of the front end of the pumping tool string; the length of the front end of the pumping tool string; the outer diameter of the rear end of the pumping tool string; length; friction coefficient between pumping tool string and horizontal well wall; cable head diameter; vertical depth where pumping tool string is located; well depth where pumping tool string is located; running speed of pumping tool string.

The horizontal well parameters include: wellbore fluid density; well inclination angle; wellbore fluid dynamic viscosity coefficient; wellbore inner diameter; wellhead pressure. Horizontal well parameters may also include the tool string to borehole wall friction coefficient (μ).

It can be seen that the device for calculating the pumping displacement of the horizontal well pumping tool provided in the embodiment of the present application takes into account wellbore parameters, casing size, tool string weight, tool string size, wellhead pressure, cable laying down when calculating the total pumping displacement The influence of multiple variables such as speed can accurately describe the various influencing factors and interactions that affect the pumping displacement. Therefore, the pumping displacement calculation method of the horizontal well pumping tool can obtain accurate pumping displacement.

In order to obtain a more accurate calculation result, in the determining module 20, the type of the annular gap is determined according to a predetermined rule according to the ratio of the size of the annular gap to the inner diameter of the wellbore. Wherein, the ratio of the annular gap size to the inner diameter of the wellbore is calculated using the following formula (gap ratio formula):

为井筒内径，m；φ₁为工具串前端外径，m。Among them, τ is the ratio of the annular gap size to the inner diameter of the wellbore, dimensionless;

is the inner diameter of the wellbore, m; φ ₁ is the outer diameter of the front end of the tool string, m.

Specifically, the predetermined rule is: when τ≤0.05, the annular slit type is a small slit type, and when 0.05<τ≤0.1, the annular slit type is a large slit type.

Correspondingly, in the calculation module 30, the calculation formula of the pumping displacement corresponding to the small gap type is:

γ _{Q small} Q _b =γ _{v small} v _b +γ

In this formula,

Among them, Q _b is the total pumping displacement, m ³ /s; m is the tool string mass, kg; g is the acceleration of gravity, m/s ² ; ρ is the wellbore liquid density, kg/m ³ ; φ ₁ is the tool string Front end outer diameter, m; L ₁ is the length of the front end of the tool string, m; φ ₂ is the outer diameter of the rear end of the tool string, m; L ₂ is the length of the rear end of the tool string, m; α is the well inclination, deg; μ _μ is Wellbore fluid dynamic viscosity coefficient, Pa s; φ is the inner diameter of the wellbore, m; v _b is the tool string running speed, m/s; d _C is the diameter of the cable head, m; P _jk is the wellhead pressure, Pa; h is the tool Vertical depth where the string is located, m; l is the well depth where the tool string is located, m.

Correspondingly, in the calculation module 30, the calculation formula of the pumping displacement corresponding to the large gap type is:

γ _{Q large} Q _b = γ _{v large} v _b +γ

In this formula,

Among them, Q _b is the total pumping displacement, m ³ /s; m is the tool string mass, kg; g is the acceleration of gravity, m/s ² ; ρ is the wellbore liquid density, kg/m ³ ; φ ₁ is the tool string Front end outer diameter, m; L ₁ is the length of the front end of the tool string, m; φ ₂ is the outer diameter of the rear end of the tool string, m; L ₂ is the length of the rear end of the tool string, m; α is the well inclination, deg; μ _μ is Wellbore fluid dynamic viscosity coefficient, Pa s; φ is the inner diameter of the wellbore, m; v _b is the tool string running speed, m/s; d _C is the diameter of the cable head, m; P _jk is the wellhead pressure, Pa; h is the tool Vertical depth where the string is located, m; l is the well depth where the tool string is located, m.

As shown in Figure 1. The force on the tool string is gravity G, the buoyancy force is F _float , the support force of the (horizontal well) well wall to the tool string is F _N , the tension of the cable head is F _C , the friction force between the well wall and the tool string is F _f , and the wellbore liquid to the tool The friction force F in the string is _sticky , and the tool string is subjected to the axial pressure F _P of the wellbore liquid.

Among them, the force balance equation of the tool string is:

g) The calculation formula of gravity is:

G=mg (2)

In formula (2), m is the mass of the tool string, kg;

g is the acceleration of gravity, m/s ² .

h) The calculation formula of buoyancy is:

In formula (3), ρ is the wellbore liquid density, kg/m ³ ;

φ ₁ is the outer diameter of the front end of the tool string, m;

L ₁ is the length of the front end of the tool string, m;

φ ₂ is the outer diameter of the rear end of the tool string, m;

L ₂ is the length of the rear end of the tool string, m.

i) The calculation formula of friction force is:

F _f = μF _N = μ(GF _float ) sinα (4)

In formula (4), μ is the friction coefficient between the tool string and the borehole wall;

α is the inclination angle, deg.

j) The formula for calculating the internal friction force is:

In formula (5), μ _μ is the dynamic viscosity coefficient of the wellbore liquid, Pa s;

v ₁ is the fluid velocity between the tool string and the wellbore, m/s;

φ is the inner diameter of the wellbore, m.

In the embodiment of the present application, the relationship between the total flow rate, the clearance flow rate and the useful work flow rate during the pumping process is:

Q _b =Q+Q ₁ (6)

In the formula, Q _b is the total pumping flow, m ³ /s;

Q is the flow of useful work done to the tool string, m ³ /s;

Q ₁ is the flow rate between the tool string and the wellbore, m ³ /s.

The calculation formula of the useful work flow Q of the tool string is:

In formula (7), v _b is the lowering speed of the tool string, m/s.

In the embodiment of the present application, the calculation formula _of the flow rate Q1 between the tool string and the wellbore is:

Substitute formula (7) and formula (8) into formula (6), and we can get:

Substituting equation (9) into equation (5), we can get:

k) The formula for calculating the axial pressure of the wellbore fluid on the tool string is:

In formula (11), P ₂ is the liquid pressure at the rear end of the tool string, Pa;

P ₁ is the liquid pressure at the front end of the tool string, Pa;

ΔP is the pressure difference between the two ends, ΔP=P ₂ -P ₁ , Pa;

d _C is the diameter of the cable head, m.

In the embodiment of the present application, considering the pressure loss along the process, the calculation formula of the liquid pressure P ₂ at the rear end of the tool string is:

In formula (12), P _jk is the wellhead pressure, Pa;

h is the vertical depth of the tool string, m;

l is the depth of the well where the tool string is located, m.

In the embodiment of the present application, an annular gap is formed between the tool string and the wellbore. According to the ratio of annular gap size to wellbore inner diameter, it is judged whether to use the small gap formula (the calculation formula of pumping displacement corresponding to the small gap type) or the large gap formula (the calculation formula of the pumping displacement corresponding to the large gap type), where the gap ratio The calculation formula is:

In formula (13), τ is the gap ratio.

In the embodiment of the present application, when τ≤0.05, the small gap formula is used, and when 0.05<τ≤0.1, the large gap formula is used.

In the embodiment of the present application, the relationship between the flow rate Q ₁ between the tool string and the wellbore and the tool string running speed v _b , when the small gap formula is used, the calculation formula is:

In formula (14), ε is the relative eccentricity, and ε=1.

In the embodiment of the present application, the relationship between the flow rate Q ₁ between the tool string and the wellbore and the tool string running speed v _b , when the large gap formula is used, the calculation formula is:

Substituting equations (7) and (14) into equation (6), the pressure difference between the two ends of the small gap type (tool string) can be obtained:

Substituting equations (7) and (15) into equation (6), the pressure difference between the two ends of the large gap type (tool string) can be obtained:

Substituting Equation (12) and Equation (16) into Equation (11), the axial pressure of the wellbore liquid with small gap on the tool string can be obtained:

Substituting Equation (12) and Equation (17) into Equation (11), the axial pressure of the large gap type wellbore liquid on the tool string can be obtained:

l) The calculation formula of cable head tension is:

F _{C =} (GF _float )(cosα- _μsinα )+ _βαβmβP (20)

In formula (20), β _α is the influence coefficient of well inclination angle;

β _m is the tool string quality influence coefficient;

β _P is the influence coefficient of wellhead pressure.

Among them, the calculation formula of the inclination angle influence coefficient β _α is:

The formula for calculating the tool string quality influence coefficient β _m is:

The calculation formula of the wellhead pressure influence coefficient β _P is:

Substitute the above formulas (formulas (2), (3), (4), (10), (18), (20)) into formula (1), and we can get the relationship between Q _b and v _b under the small gap type for:

γ _{Q small} Q _b = γ _{v small} v _b +γ (24)

In the formula,

Substitute the above formulas (formulas (2), (3), (4), (10), (19), (20)) into formula (1), and we can get the relationship between Q _b and v _b under the large gap type for:

γ _{Q large} Q _b = γ _{v large} v _b +γ (25)

In the formula,

In an embodiment of the present application, a computer storage medium is also provided, where a computer program is stored in the computer storage medium, and when the computer program is executed by a processor, the following method steps are implemented: acquiring pumping tool string parameters and horizontal well parameters; determining The type of annular gap between the pumping tool string and the horizontal well bore; the total pumping displacement is calculated according to the pumping displacement calculation formula corresponding to the annular gap type.

For the convenience of description, when describing the above device, the functions are divided into various modules and described respectively. Of course, when implementing the present application, the functions of each module may be implemented in one or more software and/or hardware.

From the description of the above embodiments, those skilled in the art can clearly understand that the present application can be implemented by means of software plus a necessary general hardware platform. Based on such understanding, the technical solutions of the present application can be embodied in the form of software products in essence or the parts that make contributions 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 several instructions to cause a computer device (which may be a personal computer, a server, or a network device, etc.) to perform the methods described in various embodiments or parts of embodiments of the present application. The computer software product may be stored in memory, which may include non-persistent memory in computer readable media, random access memory (RAM) and/or non-volatile memory in the form of read only memory (ROM) or Flash memory (flash RAM). Memory is an example of a computer-readable medium. Computer-readable media includes both persistent and non-permanent, removable and non-removable media, and storage of information may be implemented by any method or technology. Information may be computer readable instructions, data structures, modules of programs, 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 Disc (DVD) or other optical storage, Magnetic tape cassettes, magnetic tape magnetic disk storage or other magnetic storage devices or any other non-transmission medium, may be used to store information that can be accessed by computing devices. Computer-readable media, as defined herein, excludes transitory computer-readable media, such as modulated data signals and carrier waves.

Each embodiment in this specification is described in a progressive manner, and the same and similar parts between the various embodiments may be referred to each other, and each embodiment focuses on the differences from other embodiments. In particular, for the implementation of the electronic device, since the software functions executed by its processor are basically similar to those of the method implementation, the description is relatively simple, and for related parts, please refer to the partial description of the method implementation.

While the application has been described by way of embodiments, those of ordinary skill in the art will recognize that the application is subject to many modifications and changes without departing from the spirit of the application, and it is intended that the appended claims include such modifications and changes 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, component, component or step as well as other elements, components, components or steps that do not materially affect the essential novel characteristics of the combination. Use of the terms "comprising" or "comprising" to describe combinations of elements, ingredients, components or steps herein also contemplates embodiments consisting essentially of those elements, ingredients, components or steps. By using the term "may" herein, it is intended to indicate that "may" include any described attributes that are optional.

It should be understood that the above description is for purposes of illustration and not limitation. From reading the above description, many embodiments and many applications beyond the examples provided will be apparent to those skilled in the art. 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 incorporated herein by reference for the purpose of being comprehensive. The omission of any aspect of the subject matter disclosed herein in the preceding claims is not intended to disclaim such subject matter, nor should it be construed that the inventor did not consider such subject matter to be part of the disclosed subject matter.

Claims (3)

1. a pumping displacement calculation method, is characterized in that, comprises: Acquiring pumping tool string parameters and horizontal well parameters; the pumping tool string parameters include: the quality of the pumping tool string; the outer diameter of the front end of the pumping tool string; the length of the front end of the pumping tool string; the outer diameter of the rear end of the pumping tool string; The length of the rear end of the pumping tool string; the friction coefficient between the pumping tool string and the horizontal well wall; the diameter of the cable head; the vertical depth where the pumping tool string is located; the depth of the well where the pumping tool string is located; Parameters include: wellbore fluid density; well inclination; wellbore fluid dynamic viscosity coefficient; wellbore inner diameter; wellhead pressure; Determine the type of annular gap between the pumping tool string and the horizontal wellbore, specifically, determine the annular gap type according to a predetermined rule according to the ratio of the annular gap size to the inner diameter of the wellbore; the ratio of the annular gap to the inner diameter of the wellbore adopts the following formula calculate:

Among them, τ is the ratio of the annular gap size to the inner diameter of the wellbore, dimensionless; φ is the inner diameter of the wellbore, m; φ1 is the outer diameter of the front end _of the tool string, m; the predetermined rule is: when τ≤0.05, the annular gap type is a small gap type, and when 0.05<τ≤0.1, the annular gap type is a large gap type; The calculation formula of the pumping displacement corresponding to the small gap type is: γ _{Q small} Q _b =γ _{v small} v _b +γ In the formula,

The calculation formula of the pumping displacement corresponding to the large gap type is: γ _{Q large} Q _b = γ _{v large} v _b +γ In the formula,

Among them, Q _b is the total pumping displacement, m ³ /s; m is the tool string mass, kg; g is the acceleration of gravity, m/s ² ; ρ is the wellbore liquid density, kg/m ³ ; L ₁ is the tool string Length of front end, m; φ ₂ is the outer diameter of the rear end of the tool string, m; L ₂ is the length of the rear end of the tool string, m; α is the inclination angle, deg; μ _μ is the dynamic viscosity coefficient of the wellbore fluid, Pa s; v _b is the lowering speed of the tool string, m/s; d _C is the diameter of the cable head, m; P _jk is the wellhead pressure, Pa; h is the vertical depth where the tool string is located, m; l is the well depth where the tool string is located, m; Calculate the total pumping displacement according to the pumping displacement calculation formula corresponding to the annular gap type. 2. A pumping displacement calculation device, characterized in that, comprising: an acquisition module for acquiring pumping tool string parameters and horizontal well parameters; the pumping tool string parameters include: the quality of the pumping tool string; the outer diameter of the front end of the pumping tool string; the length of the front end of the pumping tool string; the pumping tool string The outer diameter of the rear end; the length of the rear end of the pumping tool string; the friction coefficient between the pumping tool string and the horizontal well wall; the diameter of the cable head; the vertical depth of the pumping tool string; the depth of the well where the pumping tool string is located; ; The horizontal well parameters include: wellbore fluid density; well inclination angle; wellbore fluid dynamic viscosity coefficient; wellbore inner diameter; wellhead pressure; A determination module, used for determining the type of annular gap between the pumping tool string and the horizontal wellbore, specifically, determining the type of annular gap according to a predetermined rule according to the ratio of the size of the annular gap to the inner diameter of the wellbore; wherein, the size of the annular gap The ratio to the inner diameter of the wellbore is calculated using the following formula:

Among them, τ is the ratio of the annular gap size to the inner diameter of the wellbore, dimensionless; φ is the inner diameter of the wellbore, m; φ1 is the outer diameter of the front end _of the tool string, m; the predetermined rule is: when τ≤0.05, the annular gap type is a small gap type, and when 0.05<τ≤0.1, the annular gap type is a large gap type; The calculation formula of the pumping displacement corresponding to the small gap type is: γ _{Q small} Q _b =γ _{v small} v _b +γ In the formula,

The calculation formula of the pumping displacement corresponding to the large gap type is: γ _{Q large} Q _b = γ _{v large} v _b +γ In the formula,

Among them, Q _b is the total pumping displacement, m ³ /s; m is the tool string mass, kg; g is the acceleration of gravity, m/s ² ; ρ is the wellbore liquid density, kg/m ³ ; L ₁ is the tool string Length of front end, m; φ ₂ is the outer diameter of the rear end of the tool string, m; L ₂ is the length of the rear end of the tool string, m; α is the inclination angle, deg; μ _μ is the dynamic viscosity coefficient of the wellbore fluid, Pa s; v _b is the lowering speed of the tool string, m/s; d _C is the diameter of the cable head, m; P _jk is the wellhead pressure, Pa; h is the vertical depth where the tool string is located, m; l is the well depth where the tool string is located, m; 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, and when the computer program is executed by a processor, the method for calculating the pumping displacement according to claim 1 is implemented.

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