CN107194098A - Line Pipe of Oil and Gas Pipeline stress-strain diagram equation model method based on probability distribution - Google Patents
Line Pipe of Oil and Gas Pipeline stress-strain diagram equation model method based on probability distribution Download PDFInfo
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- CN107194098A CN107194098A CN201710397860.7A CN201710397860A CN107194098A CN 107194098 A CN107194098 A CN 107194098A CN 201710397860 A CN201710397860 A CN 201710397860A CN 107194098 A CN107194098 A CN 107194098A
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2113/00—Details relating to the application field
- G06F2113/14—Pipes
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- G—PHYSICS
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Abstract
The present invention relates to a kind of Line Pipe of Oil and Gas Pipeline stress-strain diagram equation model method based on probability distribution, including：The probability density function and distribution function of Line Pipe of Oil and Gas Pipeline yield strength and tensile strength are determined respectively, and calculate tubing yield strength and tensile strength, yield tensile ratio λ, the stress hardening index n and surrender offset α of tubing are calculated, the stress-strain diagram Ramberg Osgood equations of tubing are fitted.The present invention implements simple, the Line Pipe of Oil and Gas Pipeline stress-strain diagram Ramberg Osgood equations of expected yield requirement can be met, and equation expression formula is easy to use, easily grasped by vast oil-gas pipeline operational management personnel and designer, can be widely applied to Line Pipe of Oil and Gas Pipeline performance, structure design and intensity evaluation field.
Description
Technical field
The present invention relates to a kind of Line Pipe of Oil and Gas Pipeline stress-strain diagram equation model method based on probability distribution, specifically
It is related to a kind of Line Pipe of Oil and Gas Pipeline stress-strain diagram Ramberg-Osgood equation model methods based on probability distribution, belongs to
Oil-gas pipeline material property, structure design and intensity evaluation field.
Background technology
Oil-gas pipeline transport, build, operation and maintenance process in, external condition it is complicated and changeable, bend unavoidably,
The deformation of the body such as deformation, rupture is damaged.May spot epitope for example, passing through active fault, slopes, goaf, weak soil etc.
The pipeline in location is moved, in the case of surface displacement, pipeline can also occur bending and deformation therewith.Pipeline deforms or damages it
Afterwards, there is certain margin of safety toward contact, by that can be continuing with after assessment of remaining strength.In order to determine pipe deforming and
Margin of safety after damage, it usually needs evaluate pipeline, and the stress-strain diagram of tubing be pipeline evaluate when it is most normal
The fundamental performance parameter used.
Under normal circumstances, advise determining the stress-strain diagram of tubing in specification according to experiment.This method operability
It is poor：First in order to keep the integrality of run of designing, it is impossible to cut sample measurement run of designing tubing on run of designing
Stress-strain diagram；Even if sample second can be cut to measure, due to the inhomogeneities of pipe performance, local tubing
Stress-strain diagram can not represent the overall stress-strain diagram of pipeline；Three are difficult to be obtained according to the stress-strain diagram of actual measurement
To mathematic(al) representation easy to use.The error of pipe performance so that the evaluation result of pipeline residual intensity is produced with actual conditions
Raw bigger difference, it is difficult to obtain the evaluation result with consistent reliability；Mathematic(al) representation is difficult to be fitted, and is brought to engineer applied
Inconvenience.
How to obtain Line Pipe of Oil and Gas Pipeline has consistent reliability and stress-strain diagram equation easy to use, and then right
Pipeline is evaluated, and is oil-gas pipeline material property, structure design and intensity evaluation field technical problem urgently to be resolved hurrily.
The content of the invention
The pipe performance value existed to solve Line Pipe of Oil and Gas Pipeline performance, structure design and intensity evaluation field is asked
Topic, it is an object of the invention to provide a kind of Line Pipe of Oil and Gas Pipeline stress-strain diagram equation model side based on probability distribution
Method, including the tubing yield strength based on probability distribution, tensile strength obtaining value method, and stress-strain diagram Ramberg-
Osgood equation model methods.
The present invention is achieved by the following technical solutions：
A kind of Line Pipe of Oil and Gas Pipeline stress-strain diagram equation model method based on probability distribution, comprises the following steps：
Step 1, according to oil-gas pipeline run of designing with batch or the distribution pattern of identical grade of steel tubing yield strength, it is determined that
The probability density function f of tubing yield strength1(t) with distribution function F1(σy)；
Determine the expection qualification rate θ of tubing yield strength1, and expected qualification rate θ is calculated according to following formula1Under corresponding tubing
Yield strength σy：
Step 2, according to oil-gas pipeline run of designing with batch or the distribution pattern of identical grade of steel tubing tensile strength, it is determined that
The probability density function f of tubing tensile strength2(t) with distribution function F2(σu)；
Determine the expection qualification rate θ of tubing tensile strength2, and expected qualification rate θ is calculated according to following formula2Under corresponding tubing
Tensile strength sigmau：
Step 3, according to aforementioned tubes yield strength σyWith tubing tensile strength sigmauCalculate the yield tensile ratio λ of tubing：
Step 4, the stress hardening index n of tubing is calculated according to the yield tensile ratio λ of tubing：
Step 5, the surrender offset α of tubing is calculated according to following formula：
In formula：E is the modulus of elasticity of tubing；
Step 6, tubing stress-strain diagram Ramberg-Osgood equations are fitted, it is as follows：
In formula：ε is the strain of tubing, and σ is the stress of tubing.
Beneficial effects of the present invention are：
A kind of Line Pipe of Oil and Gas Pipeline stress-strain diagram equation model method based on probability distribution that the present invention is provided, makes
Pipe design personnel are calculated using probability distribution method meets expected yield requirement and the tubing with consistent reliability
Yield strength and tensile strength, fit the stress-strain diagram Ramberg-Osgood equations of tubing.The present invention implements simple,
Expected yield requirement and the tubing stress-strain diagram Ramberg-Osgood side with consistent reliability can be met
Journey, equation expression formula is easy to use, is easily grasped by vast conduit running administrative staff and designer, can be widely applied to oil gas
Pipeline performance, structure design and intensity evaluation field.
Brief description of the drawings
Fig. 1 is the X80 steel-grade Long-distance Transmission Pipeline tubing longitudinal stress strain curve that is obtained in the present invention in embodiment
And its Ramberg-Osgood equations.
Embodiment
In order to make the purpose , technical scheme and advantage of the present invention be clearer, it is right below in conjunction with drawings and Examples
The present invention is further elaborated.It should be appreciated that specific embodiment described herein is only to explain the present invention, not
For limiting the present invention.
The present embodiment is with X80 steel-grade Long-distance Transmission Pipeline tubing longitudinal stress strain curve and its Ramberg-Osgood
Illustrate the implementation process of the present invention exemplified by equation.
(1) pipe parameter, as shown in table 1：
The X80 steel-grade Long-distance Transmission Pipeline tubing of table 1 longitudinal direction performance
(2) distribution pattern of the longitudinal yield strength of tubing is normal distribution, as follows：
1) the probability density function f of normal distribution1(t) it is：
In formula：μ is the mathematic expectaion of yield strength, μ=615.1MPa；σ be yield strength standard deviation, σ=
51.5MPa。
2) the distribution function F of normal distribution1(σy) be：
3) assume the longitudinal yield strength of the X80 steel-grade pipeline for being intended to obtain 95% all yield strength values up to standard, that is, bend
Take the expection qualification rate θ of intensity1=95%.
4) σ is solved according to following formulay, σ can be obtainedy=530MPa.
(3) distribution pattern of tubing tensile strength is logarithm normal distribution, as follows：
1) the probability density function f of logarithm normal distribution2(t) it is：
In formula：μ is the mathematic expectaion of tensile strength, μ=700.5MPa；σ be tensile strength standard deviation, σ=
45.5MPa。
2) the distribution function F of logarithm normal distribution2(σu) be：
3) assume to be intended to obtain 95% X80 steel-grade pipeline endwise tensile strength all tensile strength values up to standard, that is, resist
The expection qualification rate θ of tensile strength2=95%.
4) σ is solved according to following formulau, σ can be obtainedu=628MPa.
(4) the yield tensile ratio λ of tubing is calculated, it is as follows：
(5) the stress hardening index n of tubing is calculated, it is as follows：
(6) the surrender offset α of tubing is calculated, it is as follows：
(7) stress-strain diagram Ramberg-Osgood equations, i.e. σ-ε equations are fitted, it is as follows：
In formula, ε is the strain of tubing；σ is the stress of tubing, MPa.
(8) according to above-mentioned stress-strain diagram Ramberg-Osgood equations, X80 steel-grade Long-distance Transmission Pipeline pipe is drawn
Material longitudinal stress strain curve is as shown in Figure 1.
The preferred embodiments of the present invention are the foregoing is only, are not intended to limit the invention, for the skill of this area
For art personnel, the present invention can have various modifications and variations.Within the spirit and principles of the invention, that is made any repaiies
Change, equivalent substitution, improvement etc., should be included in the scope of the protection.
Claims (1)
1. a kind of Line Pipe of Oil and Gas Pipeline stress-strain diagram equation model method based on probability distribution, it is characterised in that including
Following steps：
Step 1, tubing is determined with batch or the distribution pattern of identical grade of steel tubing yield strength according to oil-gas pipeline run of designing
The probability density function f of yield strength1(t) with distribution function F1(σy)；
Determine the expection qualification rate θ of tubing yield strength1, and expected qualification rate θ is calculated according to following formula1Under the surrender of corresponding tubing
Intensity σy：
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</msub>
</mrow>
Step 2, tubing is determined with batch or the distribution pattern of identical grade of steel tubing tensile strength according to oil-gas pipeline run of designing
The probability density function f of tensile strength2(t) with distribution function F2(σu)；
Determine the expection qualification rate θ of tubing tensile strength2, and expected qualification rate θ is calculated according to following formula2Under corresponding tubing tension
Intensity σu：
<mrow>
<msub>
<mi>F</mi>
<mn>2</mn>
</msub>
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<mi>&sigma;</mi>
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<mi>&theta;</mi>
<mn>2</mn>
</msub>
</mrow>
Step 3, according to aforementioned tubes yield strength σyAnd tensile strength sigmauCalculate the yield tensile ratio λ of tubing：
<mrow>
<mi>&lambda;</mi>
<mo>=</mo>
<mfrac>
<msub>
<mi>&sigma;</mi>
<mi>y</mi>
</msub>
<msub>
<mi>&sigma;</mi>
<mi>u</mi>
</msub>
</mfrac>
</mrow>
Step 4, the stress hardening index n of tubing is calculated according to the yield tensile ratio λ of tubing：
<mrow>
<mi>n</mi>
<mo>=</mo>
<mfrac>
<mn>3.14</mn>
<mrow>
<mn>1</mn>
<mo>-</mo>
<mi>&lambda;</mi>
</mrow>
</mfrac>
</mrow>
Step 5, the surrender offset α of tubing is calculated according to following formula：
<mrow>
<mi>&alpha;</mi>
<mo>=</mo>
<mn>0.005</mn>
<mfrac>
<mi>E</mi>
<msub>
<mi>&sigma;</mi>
<mi>y</mi>
</msub>
</mfrac>
<mo>-</mo>
<mn>1</mn>
</mrow>
In formula：E is the modulus of elasticity of tubing；
Step 6, tubing stress-strain diagram Ramberg-Osgood equations are fitted, it is as follows：
<mrow>
<mi>&epsiv;</mi>
<mo>=</mo>
<mfrac>
<mi>&sigma;</mi>
<mi>E</mi>
</mfrac>
<mo>+</mo>
<mi>&alpha;</mi>
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<mfrac>
<mi>&sigma;</mi>
<mi>E</mi>
</mfrac>
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<msup>
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<mi>&sigma;</mi>
<mi>y</mi>
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</mfrac>
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</mrow>
<mrow>
<mi>n</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
</msup>
</mrow>
In formula：ε is the strain of tubing, and σ is the stress of tubing.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710397860.7A CN107194098B (en) | 2017-05-31 | 2017-05-31 | Oil-gas pipeline pipe stress-strain curve equation fitting method based on probability distribution |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710397860.7A CN107194098B (en) | 2017-05-31 | 2017-05-31 | Oil-gas pipeline pipe stress-strain curve equation fitting method based on probability distribution |
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| CN107194098A true CN107194098A (en) | 2017-09-22 |
| CN107194098B CN107194098B (en) | 2020-06-23 |
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Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109752240A (en) * | 2019-02-28 | 2019-05-14 | 郑州建斌电子科技有限公司 | A kind of automatic testing method of diamond fretsaw yield stress |
| CN111307031A (en) * | 2020-03-16 | 2020-06-19 | 西南石油大学 | Buried pipeline safety state monitoring and early warning method |
| CN112304740A (en) * | 2020-09-27 | 2021-02-02 | 中国石油天然气集团有限公司 | Strength detection and calculation method of three-way pipe fitting |
| CN113705030A (en) * | 2020-05-20 | 2021-11-26 | 中国石油天然气集团有限公司 | Method, device and equipment for determining lifting amount of oil and gas pipeline and storage medium |
| CN116227282A (en) * | 2023-02-01 | 2023-06-06 | 中国石油大学(北京) | Method and equipment for determining stress-strain relation parameters of girth weld zone material |
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Cited By (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109752240A (en) * | 2019-02-28 | 2019-05-14 | 郑州建斌电子科技有限公司 | A kind of automatic testing method of diamond fretsaw yield stress |
| CN111307031A (en) * | 2020-03-16 | 2020-06-19 | 西南石油大学 | Buried pipeline safety state monitoring and early warning method |
| CN111307031B (en) * | 2020-03-16 | 2020-11-10 | 西南石油大学 | Buried pipeline safety state monitoring and early warning method |
| CN113705030A (en) * | 2020-05-20 | 2021-11-26 | 中国石油天然气集团有限公司 | Method, device and equipment for determining lifting amount of oil and gas pipeline and storage medium |
| CN113705030B (en) * | 2020-05-20 | 2024-03-26 | 中国石油天然气集团有限公司 | Method, device, equipment and storage medium for determining lifting amount of oil and gas pipeline |
| CN112304740A (en) * | 2020-09-27 | 2021-02-02 | 中国石油天然气集团有限公司 | Strength detection and calculation method of three-way pipe fitting |
| CN116227282A (en) * | 2023-02-01 | 2023-06-06 | 中国石油大学(北京) | Method and equipment for determining stress-strain relation parameters of girth weld zone material |
| CN116227282B (en) * | 2023-02-01 | 2023-12-08 | 中国石油大学(北京) | Method and equipment for determining stress-strain relation parameters of girth weld zone material |
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Address after: 100007 Beijing, Dongzhimen, North Street, No. 9, No. Applicant after: CHINA NATIONAL PETROLEUM Corp. Applicant after: CHINA PETROLEUM PIPELINE ENGINEERING Co.,Ltd. Applicant after: DESIGN BRANCH OF CHINA PETROLEUM PIPELINE ENGINEERING Corp. Address before: 100120 Beijing Xicheng District six laying Kang Applicant before: China National Petroleum Corp. Applicant before: CHINA PETROLEUM PIPELINE ENGINEERING Co.,Ltd. Applicant before: DESIGN BRANCH OF CHINA PETROLEUM PIPELINE ENGINEERING Corp. |
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Effective date of registration: 20200417 Address after: 100007 Beijing, Dongzhimen, North Street, No. 9, No. Applicant after: CHINA NATIONAL PETROLEUM Corp. Applicant after: CHINA PETROLEUM PIPELINE ENGINEERING Co.,Ltd. Applicant after: CHINA PETROLEUM PIPELINE ENGINEERING Corp. Address before: 100007 Beijing, Dongzhimen, North Street, No. 9, No. Applicant before: CHINA NATIONAL PETROLEUM Corp. Applicant before: CHINA PETROLEUM PIPELINE ENGINEERING Co.,Ltd. Applicant before: DESIGN BRANCH OF CHINA PETROLEUM PIPELINE ENGINEERING Corp. |
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