CN107939367B - A kind of pressure break water horse power determines method - Google Patents

A kind of pressure break water horse power determines method Download PDF

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Publication number
CN107939367B
CN107939367B CN201711418398.0A CN201711418398A CN107939367B CN 107939367 B CN107939367 B CN 107939367B CN 201711418398 A CN201711418398 A CN 201711418398A CN 107939367 B CN107939367 B CN 107939367B
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frictional resistance
fracturing fluid
tubing string
pressure break
resistance
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CN107939367A (en
Inventor
袁海平
张纯民
陶长州
王志城
陈飞
姬随波
马小龙
郭艳萍
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China National Petroleum Corp
CNPC Chuanqing Drilling Engineering Co Ltd
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Changqing Downhole Operation Co of CNPC Chuanqing Drilling Engineering Co Ltd
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    • EFIXED CONSTRUCTIONS
    • E21EARTH DRILLING; MINING
    • E21BEARTH DRILLING, e.g. DEEP DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
    • E21B43/00Methods or apparatus for obtaining oil, gas, water, soluble or meltable materials or a slurry of minerals from wells
    • E21B43/25Methods for stimulating production
    • E21B43/26Methods for stimulating production by forming crevices or fractures
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/18Complex mathematical operations for evaluating statistical data, e.g. average values, frequency distributions, probability functions, regression analysis

Abstract

The present invention provides a kind of pressure break water horse powers to determine method, and by improving the computational accuracy of fracturing fluid frictional resistance, it is accurate that frictional resistance calculates, and obtained operation pressure is accurate, so that pressure break water horse power is also more accurate.Reduce the consumption of materials, save the cost.Using test and the theoretical method combined, by indoor tubule column internal diameter guanidine glue friction resistance test, the relational expression of flow velocity and drop resistance ratio is obtained using approximating method, the relational expression recycled calculates the frictional resistance of guanidine gum fracturing fluid under different tubing string internal diameters and flow velocity.Difficult problem is sought this method avoid empirical equation coefficient, keeps the frictional resistance for seeking simpler and accurate, to be calculated guanidine gum fracturing fluid of drop resistance ratio and practical frictional resistance closer.

Description

A kind of pressure break water horse power determines method
Technical field
The invention belongs to oil exploitation fracturing technique fields, and in particular to a kind of pressure break water horse power determines method.
Background technique
Determine that fracturing fluid frictional resistance becomes an important process in fracturing process.Frictional resistance size will have a direct impact on frac water horse The numerical value of well head pressure in the determination of power, fracturing process.
Currently, main both at home and abroad calculate fracturing fluid frictional resistance than method and coefficient of friction resistance method using drop resistance.Using empirical equation meter When calculation drop resistance is compared, it is thus necessary to determine that the coefficient of each parameter in empirical equation, and the coefficient is related with liquid property, is difficult accurately to ask It takes, reality is not met using the empirical value of forefathers again, calculated result is larger with actual deviation, influences subsequent data analysis.Actual measurement The frictional resistance of every kind of fracturing fluid is not only at high cost, and with duration, unrealistic.
Summary of the invention
The purpose of the present invention is overcoming prior art fracturing fluid frictional resistance to be difficult to seek using empirical equation coefficient, calculated result It is larger with actual deviation, water horse power is fixed really and rings big technical problem.
For this purpose, the present invention provides a kind of pressure break water horse powers to determine method, comprising the following steps:
Step 1) calculates the frictional resistance of fracturing fluid, and process is as follows:
(1) accuracy of indoor friction resistance test device to test result is verified, error illustrates indoor friction resistance test less than 10% Device measurement is reliable;
(2) configure fracturing fluid to be determined, carried out respectively using indoor friction resistance test device in the case where needing test temperature to The measurement of fracturing fluid frictional resistance and the measurement of clear water frictional resistance in few three different tubing string internal diameters, obtain fracturing fluid frictional resistance measured value Δ pg′ With clear water frictional resistance measured value Δ pw', utilize the corresponding flow of each frictional resistance measured value of the cmf record of indoor friction resistance test device Q;
(3) the clear water frictional resistance measured value Δ p of the corresponding each same displacement of each tubing string internal diameter is respectively obtainedw' and fracturing fluid Frictional resistance measured value Δ pgThe resistance of ' corresponding drop than measured value σ ',
(4) corresponding fracturing fluid mean flow rate u under each tubing string internal diameter different flow is calculated;
(5) each tubing string internal diameter is drawn in same rectangular co-ordinateWithScatter plot, to scatterplot into Row fitting is asked to obtainWherein, σ is drop resistance than match value, and A is intercept, and B is slope;
(6) fracturing fluid drop resistance is obtained than relational expression σ=10 with flow velocity by step (5)-AuB
(7) Value of Friction Loss Δ p of the fracturing fluid in practical oil pipe is calculatedg=σ Δ pw, wherein Δ pwIt is theoretical for clear water frictional resistance Value;
Step 2) calculates pressure break water horse power HHP=operational discharge capacity × operation pressure × 22.34, wherein operation pressure=well Bottom pressure+fracturing fluid Value of Friction Loss Δ pgHead of liquid;Pressure unit is MPa;Operational discharge capacity unit is m3/min。
The accuracy of indoor friction resistance test device to test result is verified by the following method: using indoor friction resistance test device, Measure the clear water frictional resistance measured value Δ p under more different tubing string internal diameter different flowsw', with clear water frictional resistance theoretical value Δ pwIt carries out Compare, interior friction resistance test device measurement is reliable less than 10% for error.
The interior friction resistance test device includes the Agitation Tank being sequentially communicated, plunger pump, tubing string and flowmeter, the tubing string On be parallel with pressure sensor, the pressure sensor and flowmeter are connect with computer.
The mean flow rate u=21231.412QD of the fracturing fluid-2, in formula, u is mean flow rate, unit m/s;D is pipe Column internal diameter, unit mm;Q is flow, unit m3/min。
The clear water frictional resistance theoretical value Δ pw=1.3866 × 106D-4.8Q1.8L, in formula, Δ pwFor clear water frictional resistance theoretical value, Unit is MPa;D is tubing string internal diameter, unit mm;Q is flow, unit m3/min;L is pipe range, unit m.
Described at least three different tubing string internal diameters are respectively 12.7mm, 19.1mm and 25.4mm.
The fracturing fluid frictional resistance measured value Δ pg' and clear water frictional resistance measured value Δ pw' under same displacement and tubing string internal diameter It obtains.
The fracturing fluid is the guanidine gum fracturing fluid that mass concentration is 0.08%-0.4%.
The beneficial effects of the present invention are:
This pressure break water horse power provided by the invention determines method, by improving the computational accuracy of fracturing fluid frictional resistance, frictional resistance It is accurate to calculate, and obtained operation pressure is accurate, so that pressure break water horse power is also more accurate.Reduce the consumption of materials, save the cost.
Using test and the theoretical method combined, by indoor tubule column internal diameter guanidine glue friction resistance test, using fitting Method obtains the relational expression of flow velocity and drop resistance ratio, and the relational expression recycled calculates guanidine glue laminated under different tubing string internal diameters and flow velocity Split the frictional resistance of liquid.Difficult problem is sought this method avoid empirical equation coefficient, make drop resistance ratio seek it is simpler and quasi- Really, the frictional resistance for the guanidine gum fracturing fluid being calculated and practical frictional resistance are closer.
It is described in further details below in conjunction with attached drawing.
Detailed description of the invention
The frictional resistance flow chart of Fig. 1 calculating fracturing fluid;
Fig. 2 is indoor friction resistance test schematic device;
Fig. 3 is the relation curve of clear water flow and frictional resistance under 12.7mm tubing string internal diameter;
Fig. 4 is the relation curve of clear water flow and frictional resistance under 19.1mm and 25.4mm tubing string internal diameter;
Fig. 5 is the relation curve of 0.08% guanidine matrix liquid flow velocity and drop resistance ratio in different-diameter pipeline.
Specific embodiment
Embodiment 1:
In order to overcome prior art fracturing fluid frictional resistance to be difficult to seek using empirical equation coefficient, calculated result and actual deviation It is larger, water horse power is fixed really and rings big technical problem.
It present embodiments provides a kind of pressure break water horse power and determines method, comprising the following steps:
Step 1) calculates the frictional resistance of fracturing fluid, and process is following (see Fig. 1):
(1) accuracy of indoor friction resistance test device to test result is verified, error illustrates indoor friction resistance test less than 10% Device measurement is reliable;
(2) configure fracturing fluid to be determined, carried out respectively using indoor friction resistance test device in the case where needing test temperature to The measurement of fracturing fluid frictional resistance and the measurement of clear water frictional resistance in few three different tubing string internal diameters, obtain fracturing fluid frictional resistance measured value Δ pg′ With clear water frictional resistance measured value Δ pw', utilize the corresponding flow of each frictional resistance measured value of the cmf record of indoor friction resistance test device Q;
(3) the clear water frictional resistance measured value Δ p of the corresponding each same displacement of each tubing string internal diameter is respectively obtainedw' and fracturing fluid Frictional resistance measured value Δ pgThe resistance of ' corresponding drop than measured value σ ',
(4) corresponding fracturing fluid mean flow rate u under each tubing string internal diameter different flow is calculated;
(5) each tubing string internal diameter is drawn in same rectangular co-ordinateWithScatter plot, to scatterplot into Row fitting is asked to obtainWherein, σ is drop resistance than match value, and A is intercept, and B is slope;
(6) fracturing fluid drop resistance is obtained than relational expression σ=10 with flow velocity by step (5)-AuB
(7) Value of Friction Loss Δ p of the fracturing fluid in practical oil pipe is calculatedg=σ Δ pw, wherein Δ pwIt is theoretical for clear water frictional resistance Value;
Step 2) calculates pressure break water horse power HHP=operational discharge capacity × operation pressure × 22.34, wherein operation pressure=well Bottom pressure+fracturing fluid Value of Friction Loss Δ pgHead of liquid;Pressure unit is MPa;Operational discharge capacity unit is m3/min。
The present invention is more accurately determined pressure break water horse power, is met pressure break and applied by the computational accuracy of raising fracturing fluid frictional resistance The requirement of work and the analysis of pressure break data.
Using test and the theoretical method combined, by indoor tubule column internal diameter guanidine glue friction resistance test, using fitting Method obtains the relational expression of flow velocity and drop resistance ratio, and the relational expression recycled calculates guanidine glue laminated under different tubing string internal diameters and flow velocity Split the frictional resistance of liquid.Difficult problem is sought this method avoid empirical equation coefficient, make drop resistance ratio seek it is simpler and quasi- Really, the frictional resistance for the guanidine gum fracturing fluid being calculated and practical frictional resistance are closer.
Embodiment 2:
On the basis of embodiment 1, it present embodiments provides a kind of pressure break water horse power and determines method, test by the following method Demonstrate,prove the accuracy of indoor friction resistance test device to test result: with indoor friction resistance test device, measurement is in more different tubing string internal diameters Clear water frictional resistance measured value Δ p under different floww', with clear water frictional resistance theoretical value Δ pwIt is compared, error should less than 10% Indoor friction resistance test device measurement is reliable.
Wherein, the indoor friction resistance test device includes the Agitation Tank being sequentially communicated, plunger pump, tubing string and flowmeter, institute It states and is parallel with pressure sensor on tubing string, the pressure sensor and flowmeter are connect with computer.As shown in Fig. 2, flow The outlet of meter is connected to Agitation Tank, and fracturing fluid can be recycled.Pressure sensor measures frictional resistance, and computer records frictional resistance and stream Amount.
Clear water frictional resistance theoretical value Δ pw=1.3866 × 106D-4.8Q1.8L, in formula, Δ pwFor clear water frictional resistance theoretical value, unit For MPa;D is tubing string internal diameter, unit mm;Q is flow, unit m3/min;L is pipe range, unit m.
The mean flow rate u=21231.412QD of fracturing fluid-2, in formula, u is mean flow rate, unit m/s;D is in tubing string Diameter, unit mm;Q is flow, unit m3/min。
Embodiment 3:
On the basis of previous embodiment, use present invention determine that use mass concentration for 0.08% guanidine gum fracturing fluid into Pressure break water horse power when row pressure break.
Step 1) calculates the frictional resistance for the guanidine gum fracturing fluid that mass concentration is 0.08%:
(1) using indoor friction resistance test device shown in Fig. 2, temperature, which rises to, needs temperature to be tested, first measurement clear water Frictional resistance at three different tubing string internal diameter D different flow Q, and compared with theoretical formula method result, in rectangular co-ordinate The lower curve for drawing clear water flow and frictional resistance measured value and frictional resistance theoretical value, it is whether accurate with the result for verifying equipment test, accidentally Interior friction resistance test device measurement is reliable less than 10% for difference;It is different tubing string internal diameter (12.7mm, 19.1mm in Fig. 3, Fig. 4 And 25.4mm) under, the comparison figure of clear water frictional resistance theoretical value and actual measured value, clear water frictional resistance theoretical value Δ pwCalculation formula Δ pw =1.3866 × 106D-4.8Q1.8L, wherein D is tubing string internal diameter, mm;Q is flow, m3/min;L is pipe range, m;In the present embodiment Pipe range 3m.
(2) configuration quality score is that 0.08% guanidine matrix liquid is rubbed after guanidine glue complete swelling using interior in Agitation Tank The frictional resistance that testing equipment test guanidine matrix liquid passes through three small diameter tubes (12.7,19.1 and 25.4mm) with different displacements is hindered, respectively Record corresponding flow and frictional resistance.
(3) 0.08% guanidine matrix liquid of different displacements drop under different tube diameters is calculated to hinder than σ ',
(4) it is calculated by the following formula the mean flow rate u:u=21231.42QD of 0.08% guanidine matrix liquid-2
(5) 0.08% guanidine gum fracturing fluid under three calibers is drawn in rectangular co-ordinateWithScatter plot, As shown in Figure 5.Scatterplot is fitted and acquires intercept A and slope B, obtains following relational expression:Wherein, A=-0.4788 and B=-0.0288, not according to the guanidine gum fracturing fluid of test Together, A and B value also changes therewith.
(6) the drop resistance of 0.08% guanidine matrix liquid is obtained than the relational expression with flow velocity according to the relational expression that step 5 acquires: σ= 3.0116u-0.0288
(7) according to the formula of step (1), step (4) and step (6), 0.08% guanidine matrix liquid is obtained in practical oil pipe Frictional resistance Δ pgCalculation formula:
Δp0.08%=3.1343 × 1012Q1.7712D-4.7424L。
Step 2) calculates pressure break water horse power HHP=operational discharge capacity × operation pressure × 22.34, wherein operation pressure=well Bottom pressure+fracturing fluid Value of Friction Loss Δ pgHead of liquid;Pressure unit is MPa;Operational discharge capacity unit is m3/min。
Wherein, bottom pressure can be measured by pressure gauge, and head of liquid P=0.00981 ρ h, P are head of liquid, unit For MPa;ρ is fluid density, unit g/cm3;Unit h is well depth, unit m.
By the way that the method increase the computational accuracy of fracturing fluid frictional resistance, it is accurate that frictional resistance calculates, and obtained operation pressure is accurate, To which total water horse power is also more accurate.Reduce the consumption of materials, save the cost.
The foregoing examples are only illustrative of the present invention, does not constitute the limitation to protection scope of the present invention, all It is within being all belonged to the scope of protection of the present invention with the same or similar design of the present invention.

Claims (8)

1. a kind of pressure break water horse power determines method, which comprises the following steps:
Step 1) calculates the frictional resistance of fracturing fluid, and process is as follows:
(1) accuracy of indoor friction resistance test device to test result is verified, error illustrates that the interior friction resistance test fills less than 10% It is reliable to set measurement;
(2) fracturing fluid to be determined is configured, carries out at least three respectively in the case where needing test temperature using indoor friction resistance test device The measurement of fracturing fluid frictional resistance and the measurement of clear water frictional resistance in a difference tubing string internal diameter, obtain fracturing fluid frictional resistance measured value Δ pg' and it is clear Water frictional resistance measured value Δ pw', utilize the corresponding flow Q of each frictional resistance measured value of the cmf record of indoor friction resistance test device;
(3) the clear water frictional resistance measured value Δ p of the corresponding each same displacement of each tubing string internal diameter is respectively obtainedw' surveyed with fracturing fluid frictional resistance Definite value Δ pgThe resistance of ' corresponding drop than measured value σ ',
(4) corresponding fracturing fluid mean flow rate u under each tubing string internal diameter different flow is calculated;
(5) each tubing string internal diameter is drawn in same rectangular co-ordinateWithScatter plot, scatterplot is intended Conjunction is asked to obtainWherein, σ is drop resistance than match value, and A is intercept, and B is slope;
(6) fracturing fluid drop resistance is obtained than relational expression σ=10 with flow velocity by step (5)-AuB
(7) Value of Friction Loss Δ p of the fracturing fluid in practical oil pipe is calculatedg=σ Δ pw, wherein Δ pwFor clear water frictional resistance theoretical value;
Step 2) calculates pressure break water horse power HHP=operational discharge capacity × operation pressure × 22.34, wherein operation pressure=shaft bottom pressure Power+fracturing fluid Value of Friction Loss Δ pgHead of liquid.
2. a kind of pressure break water horse power according to claim 1 determines method, it is characterised in that: verify room by the following method The accuracy of interior friction resistance test device to test result: with indoor friction resistance test device, measurement is in more different tubing string internal diameters differences Clear water frictional resistance measured value Δ p under floww', with clear water frictional resistance theoretical value Δ pwIt is compared, less than 10% interior of error The measurement of friction resistance test device is reliable.
3. a kind of pressure break water horse power according to claim 1 determines method, it is characterised in that: the interior friction resistance test dress Agitation Tank, plunger pump, tubing string and flowmeter including being sequentially communicated are set, pressure sensor, the pressure are parallel on the tubing string Force snesor and flowmeter are connect with computer.
4. a kind of pressure break water horse power according to claim 1 determines method, it is characterised in that: the mean flow of the fracturing fluid Fast u=21231.412QD-2, in formula, u is mean flow rate, unit m/s;D is tubing string internal diameter, unit mm;Q is flow, single Position is m3/min。
5. a kind of pressure break water horse power according to claim 1 determines method, it is characterised in that: the clear water frictional resistance theoretical value Δpw=1.3866 × 106D-4.8Q1.8L, in formula, Δ pwFor clear water frictional resistance theoretical value, unit MPa;D is tubing string internal diameter, unit For mm;Q is flow, unit m3/min;L is pipe range, unit m.
6. a kind of pressure break water horse power according to claim 1 determines method, it is characterised in that: described at least three different pipes Column internal diameter is respectively 12.7mm, 19.1mm and 25.4mm.
7. a kind of pressure break water horse power according to claim 1 determines method, it is characterised in that: the fracturing fluid frictional resistance measurement It is worth Δ pg' and clear water frictional resistance measured value Δ pw' obtained under same displacement and tubing string internal diameter.
8. a kind of pressure break water horse power according to claim 1 determines method, it is characterised in that: the fracturing fluid is that quality is dense Degree is the guanidine gum fracturing fluid of 0.08%-0.4%.
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CN112069746B (en) * 2020-09-14 2023-09-29 陕西延长石油(集团)有限责任公司 Fracturing string friction testing method adopting virtual parallel equal-differential pressure method

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Effective date of registration: 20201027

Address after: 100007 Dongcheng District, Dongzhimen, China, North Street, No. 9 Oil Mansion, No.

Patentee after: CHINA NATIONAL PETROLEUM Corp.

Patentee after: CNPC Chuanqing Drilling Engineering Co.,Ltd.

Address before: 710018 Changqing building, 1203 Changqing Changqing Garden area, Shaanxi, Xi'an Province

Patentee before: CHANGQING DOWNHOLE TECHNOLOGY OPERATION COMPANY OF CNPC CHUANQING DRILLING ENGINEERING Co.,Ltd.