CN111324985A - Method for evaluating fatigue life of continuous tube containing groove-shaped scratch defects - Google Patents
Method for evaluating fatigue life of continuous tube containing groove-shaped scratch defects Download PDFInfo
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Abstract
The invention relates to an evaluation method for the fatigue life of a continuous pipe containing groove-shaped scratch defects, belonging to the field of safety evaluation of the service life of a pipe column. The method comprises the steps of screening and confirming the outer wall groove-shaped scratch defects and the inner wall groove-shaped scratch defects, detecting the shape geometric parameters of the scratch defects, and calculating the fatigue life of the continuous pipe containing the outer wall groove-shaped scratch defects and the inner wall groove-shaped scratch defects; and the continuous pipe containing the outer wall groove-shaped scratch defects and the inner wall groove-shaped scratch defects is subjected to a three-stage evaluation step, so that the defect of fatigue life evaluation of the conventional continuous pipe containing the groove-shaped defects is overcome, the cost is saved, the economic benefit is increased, the use risk of the continuous pipe is reduced, and the method has great production practice significance.
Description
Technical Field
The invention relates to an evaluation method for the fatigue life of a continuous pipe containing groove-shaped scratch defects, belonging to the field of safety evaluation of the service life of a pipe column.
Background
The Continuous Tube (CT) is an endless tube formed by welding a plurality of sections of steel strips, and is wound on a roller with a larger diameter so as to be convenient for transportation and operation. Compared with the traditional drilling and completion mode, the coiled tubing does not need to be additionally erected on a derrick and be broken out, so that the operation period is greatly shortened, the labor intensity is reduced, the exploitation cost is reduced, and the cost can be saved by 25-40%. The continuous pipe technology becomes a new technology which is improved day by day in the field of petroleum and natural gas exploration and development, and is praised as universal operation equipment due to wide application range and convenient use of continuous pipe operation equipment.
The fatigue of coiled tubing falls within the category of typical low cycle fatigue because coiled tubing undergoes 6 alternating bend-straight deformations during one run up and down, forcing it into a plastic state when the deformation far exceeds the elastic limit of the material. Mechanical damage is often unavoidable during the transportation and operation of the continuous pipe, and the damage defect forms of groove-shaped scratches, spherical indentations and the like, wherein the groove-shaped scratches are one of the main defect forms. At present, a perfect method for evaluating the residual life of the groove-shaped scratch defect is not available, and usually, in the field use process, if the scratch defect occurs, the whole disc of continuous pipe is directly scrapped, so that the residual fatigue life of the continuous pipe containing the groove-shaped defect cannot be continuously exerted, the use cost is increased, and the operation risk is increased. Therefore, an evaluation method is urgently needed to make up the deficiency of the conventional fatigue life evaluation of the continuous pipe containing the groove-shaped scratch defects, so that the continuous pipe containing the defects is correctly used, and the use risk is reduced.
Disclosure of Invention
The invention aims to provide a method for evaluating the fatigue life of a continuous pipe containing groove-shaped scratch defects, which can accurately evaluate the fatigue life safety of the continuous pipe containing groove-shaped scratch defects, thereby accurately using the continuous pipe containing the defects and reducing the use risk.
The technical scheme of the invention is as follows:
a method for evaluating the fatigue life of a continuous tube containing groove-shaped scratch defects is characterized by comprising the following steps: it comprises the following steps:
1) firstly, screening and confirming the outer wall groove-shaped scratch defects and the inner wall groove-shaped scratch defects on a service continuous pipe;
2) the defect parameters of the outer wall groove-shaped scratch defect and the inner wall groove-shaped scratch defect comprise a defect axial angle β, a defect depth a, a defect length c, a defect width b, a blunted fillet R around the scratch, the circumferential distribution of the defect and the circumferential distribution number of the defect, and the ice utilizes defect detection equipment to measure the parameters of the outer wall groove-shaped scratch defect and the inner wall groove-shaped scratch defect;
3) obtaining sensitive parameters which are the defect depth a, the defect width b, the defect axial angle β and the defect length c in sequence from sensitive parameters in the defect axial angle β, the defect depth a, the defect length c, the defect width b, the blunted fillet R around the scratch, the circumferential distribution of the defects and the circumferential distribution number of the defects based on an orthogonal test method;
4) theoretically calculating the fatigue life of the continuous tube containing the outer wall groove-shaped scratch defects and the inner wall groove-shaped scratch defects on the basis of considering the groove-shaped defect sensitive parameters;
5) carrying out three-stage evaluation on the continuous pipe containing the outer wall groove-shaped scratch defects and the inner wall groove-shaped scratch defects; namely, the three-stage evaluation was performed on the continuous pipe containing the groove-shaped scratch defect. Compared with a complete continuous pipe under the same working condition, direct scrapping with fatigue life reduced by 50 percent, fine evaluation with fatigue life reduced by 20-50 percent and rough evaluation with fatigue life reduced by less than 20 percent are carried out;
the method for calculating the fatigue life of the continuous tube containing the outer wall groove-shaped scratch defects and the inner wall groove-shaped scratch defects in the step 4) comprises the following steps:
when the outer surface of the continuous pipe has the outer wall groove-shaped scratch defects and the inner wall groove-shaped scratch defects, the influence of the outer wall groove-shaped scratch defects and the inner wall groove-shaped scratch defects on the fatigue life is considered when the fatigue life model of the continuous pipe is established; obtaining radial stress of continuous tube under internal pressure based on thick-wall cylinder theory
Hoop stress
And axial stress
：
In the formula:
the outer radius of the continuous tube is mm;
is the inner radius, mm;
is the internal pressure, MPa; r is any radius, mm.
According to the analysis of stress andvon Misesthe criterion, that the critical point for yielding first always is the inner surface of the continuous pipe, in which case
；
According to the Remberg-Osgood elastic-plastic stress-strain relation, the total strain generated by bending action
Is elastically strained
And plastic strain
And (3) the sum:
in the formula:Dis outside a continuous tubeDiameter, mm;
is the bending radius, mm;Eis the modulus of elasticity, MPa;
yield limit, MPa;
the axial force generated by bending is the main cause of plastic strain, and the axial stress is generated under the action of internal pressure and bending
Comprises the following steps:
axial stress resulting from bending from the Holomon relationship of stress to plastic strain
Hoop strain, axial strain and radial strain under internal pressure bending coupling load:
in the formula:
is the hoop strain;
is the axial strain;
is the radial strain;
the cyclic strain hardening coefficient is MPa;
is the cyclic strain hardening index;
in the plastic deformation process of the continuous pipe, the volume invariance assumption is adopted, and the equivalent plastic strain is generated under the coupling load
Comprises the following steps:
adopting a Brown-Miller fatigue life theoretical model, and the strain-life formula is as follows:
positive strain at maximum shear strain plane:
in order to consider the influence of other parameters except sensitive parameters on the fatigue life of the continuous tube, a correction coefficient is introduced
：
In the formula:c 0 the depth of the pit defect;N f the number of fatigue bending times of the continuous tube;
maximum shear strain after introducing correction coefficient and positive strain of maximum shear strain plane:
the final fatigue life calculation model of the continuous pipe containing the defects is as follows:
the invention has the beneficial effects that
Compared with the prior art, the method has the advantages that the fatigue life of the continuous pipe containing the outer wall groove-shaped scratch defects and the inner wall groove-shaped scratch defects is calculated by screening, confirming and detecting the outer wall groove-shaped scratch defects and the inner wall groove-shaped scratch defects, detecting the shape geometric parameters of the scratch defects and calculating the fatigue life of the continuous pipe containing the outer wall groove-shaped scratch defects and the inner wall groove-shaped scratch defects; carrying out three-stage evaluation on the continuous pipe containing the outer wall groove-shaped scratch defects and the inner wall groove-shaped scratch defects; therefore, the method makes up the defect of the fatigue life evaluation of the conventional continuous pipe containing the groove defects, saves the cost, increases the economic benefit, reduces the use risk of the continuous pipe, and has great production practice significance.
Drawings
FIG. 1 is a flow chart of a method for evaluating the fatigue life of a continuous pipe containing groove-shaped scratch defects;
FIG. 2 is a schematic three-dimensional half-section view of a groove-shaped scratch defect;
FIG. 3 is a schematic top view of a groove shaped scratch defect;
FIG. 4 is a schematic view of a coiled tubing bend deformation;
FIG. 5 is a schematic diagram of the cross-sectional force applied to the coiled tubing;
in the figure: 1. 2, continuous pipe, 2, outer wall groove shape scratch defect, and 3, inner wall groove shape scratch defect.
The specific implementation mode is as follows:
in order that those skilled in the art will better understand the technical solution of the present invention, the following detailed description of the present invention is provided in conjunction with the accompanying drawings and embodiments.
Referring to fig. 1 to 5, the method for evaluating the fatigue life of the continuous pipe containing the groove-shaped scratch defects, provided by the invention, comprises the following steps:
firstly, screening and confirming an outer wall groove-shaped scratch defect 2 and an inner wall groove-shaped scratch defect 3 on a service continuous pipe 1;
secondly, detecting the shape geometric parameters of the outer wall groove-shaped scratch defect 2 and the inner wall groove-shaped scratch defect 3;
thirdly, sensitive defect parameters of an outer wall groove-shaped scratch defect 2 and an inner wall groove-shaped scratch defect 3 are optimized;
fourthly, theoretically calculating the fatigue life of the continuous pipe 1 containing the outer wall groove-shaped scratch defects 2 and the inner wall groove-shaped scratch defects 3;
fifthly, carrying out three-level evaluation on the continuous pipe 1 containing the outer wall groove-shaped scratch defect 2 and the inner wall groove-shaped scratch defect 3;
in the second step, the defect parameters of the outer wall groove-shaped scratch defect 2 and the inner wall groove-shaped scratch defect 3 comprise a defect axial angle β, a defect depth a, a defect length c, a defect width b, a blunted fillet R around the scratch, the circumferential distribution of the defects and the circumferential distribution number of the defects, and the parameters of the outer wall groove-shaped scratch defect 2 and the inner wall groove-shaped scratch defect 3 are measured by using defect detection equipment;
in the third step, sensitive parameters of the defect axial angle β, the defect depth a, the defect length c, the defect width b, the rounding R around the scratch, the circumferential distribution of the defects and the circumferential distribution number of the defects are obtained on the basis of an orthogonal test method, wherein the sensitive parameters are the defect depth a, the defect width b, the defect axial angle β and the defect length c in sequence;
in the fourth step, on the basis of considering the sensitive parameters of the groove defects, the method for calculating the fatigue life of the continuous pipe 1 containing the groove defects comprises the following steps:
when the inner surface and the outer surface of the continuous pipe 1 have the outer wall groove-shaped scratch defects 2 and the inner wall groove-shaped scratch defects 3, the influence of the outer wall groove-shaped scratch defects 2 and the inner wall groove-shaped scratch defects 3 on the fatigue life is considered when the fatigue life model of the continuous pipe 1 is established. Obtaining radial stress of the coiled tubing 1 under the action of internal pressure based on the thick-wall cylinder theory
Ring ofStress in the direction of
And axial stress
：
In the formula:
the outer radius of the continuous pipe 1 is mm;
is the inner radius, mm;
is the internal pressure, MPa; r is any radius, mm.
According to the stress analysis and von Mises guidelines, the critical point at which yielding occurs first is always the inner surface of the continuous pipe 1, in which case
；
According to the Remberg-Osgood elastic-plastic stress-strain relation, the total strain generated by bending action
Is elastically strained
And plastic strain
And (3) the sum:
in the formula:Dthe diameter of the continuous pipe 1 is mm;
is the bending radius, mm;Eis the modulus of elasticity, MPa;
yield limit, MPa.
The axial force generated by bending is the main cause of plastic strain, and the axial stress is generated under the action of internal pressure and bending
Comprises the following steps:
axial stress resulting from bending from the Holomon relationship of stress to plastic strain
Hoop strain, axial strain and radial strain under internal pressure bending coupling load:
in the formula:
is the hoop strain;
is the axial strain;
is the radial strain;
the cyclic strain hardening coefficient is MPa;
is the cyclic strain hardening index.
In the plastic deformation process of the continuous pipe 1, the volume invariance assumption is adopted, and the equivalent plastic strain is generated under the coupling load
Comprises the following steps:
adopting a Brown-Miller fatigue life theoretical model, and the strain-life formula is as follows:
in order to consider the influence of other parameters except sensitive parameters on the fatigue life of the continuous tube, a correction coefficient is introduced
：
In the formula:
the depth of the pit defect;
the number of fatigue bendings for a continuous tube.
Maximum shear strain after introducing correction coefficient and positive strain of maximum shear strain plane:
in the fifth step, the continuous pipe 1 containing the groove-shaped scratch defects is subjected to three-level evaluation. Compared with the complete continuous pipe 1 under the same working condition, the direct scrapping with the fatigue life reduced by 50 percent is realized, the fine evaluation with the fatigue life reduced by 20 to 50 percent is realized, and the rough evaluation with the fatigue life reduced by less than 20 percent is realized.
The following embodiment is a specific example of the life safety evaluation of the continuous pipe containing the groove-shaped scratch defects:
a coil of 50.8mm coiled tubing being serviced by a gas field (drifting) was tested. The coiled continuous pipe has the strength of QT900 and the wall thickness of 3.96mm, is subjected to drilling and plugging operation for many times before, and has the existing length of 5210.86m and the detection length of 4633.25 m. Two groove-shaped scratch defects are detected on the outer wall surface of the continuous pipe, and the depth of the larger groove-shaped scratch defect is 1 mm.
The influence of the 6 defect parameters on the fatigue life of the continuous tube is evaluated by utilizing finite element calculation, as shown in table 1, the influence of the obtained defect depth, defect width, defect angle and defect length on the fatigue life of the continuous tube is obvious in the 6 defect parameters, and the defect depth is reduced by the maximum extent and the reduction extent is 92% in the 4 parameters. The descending amplitude of the annular distribution and the axial distribution is less than 30 percent, so the 2 defect parameters of the annular distribution and the axial distribution are not considered in the subsequent calculation and evaluation;
as shown in Table 2 and FIGS. 2-3, four parameters of depth a of the groove-shaped defect along the outer circumferential surface, axial angle β of the pit along the axial direction, pit length c and pit width b, each of which takes four levels, were selected by the principle of the orthogonal test method16（44) Orthogonal experimental design, 16 groups of experiments are obtained. At different parameters in the tableK i Expressed at a particular leveliThe sum of the results of the following calculations,
to be at a specific leveliThe average value of
(ii) a Extreme difference in the tableRIs the difference between the maximum average and the minimum average of a particular parameter, i.e.
。
Range of four defect parametersRAs shown in Table 2, the primary and secondary relationship of the effect of the four defect parameters on the fatigue life of the continuous tube is as follows: depth of pit>Width of pit>Pit angle>Pit length. The range of the defect depth is 120.25, and the range of the other three defect parameters is less than 50, namely the defect depth is a main control parameter influencing the fatigue life of the continuous tube.
TABLE 2 orthogonal test Table
According to the finite element calculation result, based on a conservative algorithm, when mechanical analysis and fatigue life prediction of the continuous pipe containing the defects are carried out, the angle of the pit defects is 90 degrees. Fig. 4 is a schematic diagram of a deformation of a small section of coiled tubing containing a dimple defect, and fig. 5 is a schematic cross-sectional view thereof.MBending moment, cross-section, to which the coiled tubing is subjectedP 1Is the external pressure to which the coiled tubing is subjected,P 2is connected toThe internal pressure to which the extension pipe is subjected,r 1in order to continue the inner radius of the tube,r 2is the outer radius of the continuous tube,c i andc 0 the thickness of the defects inside and outside the continuous tube,θthe central angle of the pit defect corresponding to the cross section of the continuous tube.
As can be seen from the finite element calculation and the orthogonal experiment, the depth of the groove defect is the most sensitive parameter influencing the fatigue life of the continuous pipe. When the inner surface and the outer surface of the continuous pipe are provided with the groove-shaped defects, the influence of the groove-shaped defects on the fatigue life is considered during the establishment of the fatigue life model of the continuous pipe. Obtaining radial stress of continuous tube under internal pressure based on thick-wall cylinder theory
Hoop stress
And axial stress
：
In the formula:
the outer radius of the continuous tube is mm;
is the inner radius, mm;
is the internal pressure, MPa; r is any radius, mm.
According to the stress analysis and von Mises guidelines, the critical point for initial yielding is always the inner surface of the coiled tubing, in which case
；
According to the Remberg-Osgood elastic-plastic stress-strain relation, the total strain generated by bending action
Is elastically strained
And plastic strain
And (3) the sum:
in the formula:Dis the outer diameter of the continuous tube, mm;
is the bending radius, mm;Eis the modulus of elasticity, MPa;
yield limit, MPa.
The axial force generated by bending is the main cause of plastic strain, and the axial stress is generated under the action of internal pressure and bending
Comprises the following steps:
axial stress resulting from bending from the Holomon relationship of stress to plastic strain
Hoop strain under bending coupling load under internal pressureAxial strain and radial strain:
in the formula:
is the hoop strain;
is the axial strain;
is the radial strain;
the cyclic strain hardening coefficient is MPa;
is the cyclic strain hardening index.
In the plastic deformation process of the continuous pipe, the volume invariance assumption is adopted, and the equivalent plastic strain is generated under the coupling load
Comprises the following steps:
adopting a Brown-Miller fatigue life theoretical model, and the strain-life formula is as follows:
positive strain at maximum shear strain plane:
on one hand, during theoretical calculation, the fatigue life of the groove-shaped defect of the continuous pipe is only calculated based on a conservative algorithm, and on the other hand, the lowest yield strength (the yield strength of the continuous pipe in engineering practice is higher than the minimum value) is selected during calculation, so that the predicted value of the fatigue life of the groove-shaped defect of the continuous pipe is smaller than an experimental value, and in order to enable the calculation result of a theoretical model to be more accurate, a correction coefficient is obtained by comparing and regressing the experimental value and the theoretical calculation result
。
In the formula:c 0 the depth of the pit defect;N f the number of fatigue bendings for a continuous tube.
Corrected maximum shear strain and positive strain of the maximum shear strain plane:
the fatigue life model after correction is:
the model calculation results for different defect depths are shown in table 3:
TABLE 3 model calculation results at different defect depths
In the fifth step, the continuous pipe 1 containing the groove-shaped scratch defects is subjected to three-level evaluation. Compared with the complete continuous pipe 1 under the same working condition, the direct scrapping with the fatigue life reduced by 50 percent is realized, the fine evaluation with the fatigue life reduced by 20 to 50 percent is realized, and the rough evaluation with the fatigue life reduced by less than 20 percent is realized.
TABLE 4 evaluation ratings at different defect depths
The foregoing is only a preferred embodiment of the present invention, and it should be noted that, for those skilled in the art, various modifications and decorations can be made without departing from the principle of the present invention, and these modifications and decorations should also be regarded as the protection scope of the present invention.
Claims (2)
1. A method for evaluating the fatigue life of a continuous tube containing groove-shaped scratch defects is characterized by comprising the following steps:
1) screening and confirming the outer wall groove-shaped scratch defects (2) and the inner wall groove-shaped scratch defects (3) in the service continuous pipe (1);
2) detecting the shape and geometric parameters of the outer wall groove-shaped scratch defect (2) and the inner wall groove-shaped scratch defect (3), wherein the defect parameters of the outer wall groove-shaped scratch defect (2) and the inner wall groove-shaped scratch defect (3) comprise a defect axial angle β, a defect depth a, a defect length c, a defect width b, a blunted fillet R around the scratch, the circumferential distribution of the defects and the circumferential distribution number of the defects, and the parameters of the outer wall groove-shaped scratch defect (2) and the inner wall groove-shaped scratch defect (3) are measured by using defect detection equipment;
3) sensitive defect parameters of the outer wall groove-shaped scratch defect (2) and the inner wall groove-shaped scratch defect (3) are preferably selected, and the sensitive parameters are obtained from sensitive parameters in defect axial angle β, defect depth a, defect length c, defect width b, blunt fillet R around the scratch, circumferential distribution of the defects and the circumferential distribution number of the defects based on an orthogonal test method, wherein the sensitive parameters are the defect depth a, the defect width b, the defect axial angle β and the defect length c in sequence;
4) theoretically calculating the fatigue life of a continuous tube (1) containing an outer wall groove-shaped scratch defect (2) and an inner wall groove-shaped scratch defect (3) on the basis of referring to groove-shaped defect sensitive parameters;
5) carrying out three-level evaluation on the continuous pipe (1) containing the outer wall groove-shaped scratch defect (2) and the inner wall groove-shaped scratch defect (3); namely, carrying out three-stage evaluation on the continuous pipe containing the groove-shaped scratch defects; compared with a complete continuous pipe under the same working condition, the direct scrapping of the pipe with the fatigue life reduced by 50 percent is realized, the fine evaluation of the reduction of the fatigue life by 20 to 50 percent is realized, and the rough evaluation of the reduction of the fatigue life by less than 20 percent is realized.
2. The method for evaluating the fatigue life of the continuous tube containing the groove-shaped scratch defects according to claim 1, wherein: the method for calculating the fatigue life of the continuous tube (1) containing the outer wall groove-shaped scratch defects (2) and the inner wall groove-shaped scratch defects (3) comprises the following steps:
when the inner surface and the outer surface of the continuous pipe (1) are provided with the outer wall groove-shaped scratch defects (2) and the inner wall groove-shaped scratch defects (3), when a fatigue life model of the continuous pipe (1) is established, the influence of the outer wall groove-shaped scratch defects (2) and the inner wall groove-shaped scratch defects (3) on the fatigue life is considered, and the radial stress of the continuous pipe (1) under the action of internal pressure is obtained based on the thick-wall cylinder theory
Hoop stress
And axial stress
；
In the formula:
the outer radius of the continuous pipe (1) is mm;
is the inner radius, mm;
is the internal pressure, MPa; r is any radius, mm;
according to the analysis of stress andvon Misesthe criterion is that the critical point for yielding first always is the inner surface of the continuous pipe (1), in which case
；
According to the Remberg-Osgood elastic-plastic stress-strain relation, the total strain generated by bending action
Is elastically strained
And plastic strain
And (3) the sum:
in the formula:Dthe diameter of the outer diameter of the continuous pipe (1) is mm;
is the bending radius, mm;Eis the modulus of elasticity, MPa;
yield limit, MPa;
the axial force generated by bending is the main cause of plastic strain, and the axial stress is generated under the action of internal pressure and bending
Comprises the following steps:
axial stress resulting from bending from the Holomon relationship of stress to plastic strain
Hoop strain, axial strain and radial strain under internal pressure bending coupling load:
in the formula:
is the hoop strain;
is the axial strain;
is the radial strain;
the cyclic strain hardening coefficient is MPa; is the cyclic strain hardening index;
in the plastic deformation process of the continuous pipe (1), the equivalent plastic strain under the coupling load is adopted on the assumption of constant volume
Comprises the following steps:
adopting a Brown-Miller fatigue life theoretical model, and the strain-life formula is as follows:
positive strain at maximum shear strain plane:
in order to consider the influence of other parameters except sensitive parameters on the fatigue life of the continuous tube, a correction coefficient is introduced
：
In the formula:c 0 the depth of the pit defect;N f the number of fatigue bending times of the continuous tube;
maximum shear strain after introducing correction coefficient and positive strain of maximum shear strain plane:
the final fatigue life calculation model of the continuous pipe (1) containing the defects is as follows:
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| CN112601298A (en) * | 2021-01-18 | 2021-04-02 | 长江大学 | Heating equipment and heating method for prolonging service life of continuous pipe |
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| US20120271566A1 (en) * | 2011-04-21 | 2012-10-25 | Vinayak Deshmukh | Method for the prediction of fatigue life for structures |
| CN103616179A (en) * | 2013-12-05 | 2014-03-05 | 广西大学 | Transmission gear fatigue life assessment method based on defect modeling |
| WO2015187923A1 (en) * | 2014-06-04 | 2015-12-10 | Schlumberger Canada Limited | Pipe defect assessment system and method |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112601298A (en) * | 2021-01-18 | 2021-04-02 | 长江大学 | Heating equipment and heating method for prolonging service life of continuous pipe |
| CN112601298B (en) * | 2021-01-18 | 2022-12-13 | 长江大学 | Heating equipment and heating method for prolonging service life of continuous tube |
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