CN114414781B - Device and method for testing radial distribution of cement sheath axial stress-deformation at alternating temperature - Google Patents

Device and method for testing radial distribution of cement sheath axial stress-deformation at alternating temperature Download PDF

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CN114414781B
CN114414781B CN202210074242.XA CN202210074242A CN114414781B CN 114414781 B CN114414781 B CN 114414781B CN 202210074242 A CN202210074242 A CN 202210074242A CN 114414781 B CN114414781 B CN 114414781B
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林元华
周念涛
邓宽海
于春雷
杨明庆
赵倩
谢鹏飞
彭阳
王奇
梅宗斌
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Southwest Petroleum University
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Abstract

The device is characterized by comprising a high-frequency induction coil heater, an outer sleeve, an inner sleeve, a wireless strain sensor, a first L-shaped cylinder, a second L-shaped cylinder, a third L-shaped cylinder, a fourth L-shaped cylinder and a cement sheath; the first L-shaped cylinder, the second L-shaped cylinder, the third L-shaped cylinder and the fourth L-shaped cylinder are welded on the outer wall of the inner sleeve, the wireless strain sensor is axially fixed on the outer wall of the inner sleeve, the first L-shaped cylinder, the second L-shaped cylinder, the third L-shaped cylinder, the fourth L-shaped cylinder and the inner wall of the outer sleeve, the wireless strain sensor can measure the axial strain of the cement sheath at different positions under the temperature change, the axial stress-deformation radial distribution characteristic of the cement sheath and the thermal expansion coefficient of the cement sheath are obtained, and the temperature distribution in the cement sheath at any moment is obtained based on the axial stress-deformation radial distribution characteristic of the cement sheath. The invention is suitable for the technical field of petroleum and natural gas drilling and production engineering.

Description

Device and method for testing radial distribution of cement sheath axial stress-deformation at alternating temperature
Technical Field
The patent relates to the technical field of petroleum and natural gas drilling engineering, in particular to a device and a method for testing radial distribution of cement sheath axial stress-deformation at alternating temperature.
Background
With development of oil fields, development of conventional well oil reservoirs of various large oil fields in China gradually enters late stages, and development of unconventional oil reservoirs has become a new trend. As an important unconventional resource, the thickened oil is widely distributed worldwide, and the exploration reserve of the thickened oil in the world is over 3000 hundred million tons at present, so that the development potential is huge. The method for exploiting the thick oil is generally adopted in countries around the world as heat injection exploitation, and mainly comprises steam throughput, steam flooding and the like, so that a shaft is affected by pressure load and temperature load during heat injection exploitation. In addition, the gas injection temperature of the heat injection well can reach 350 ℃, under the action of high temperature, the existence of the thermal stress of the cement sheath seriously threatens the integrity of the cement sheath, and under the multi-round steam throughput, the cement sheath repeatedly bears the process of heating-cooling, so that the mechanical property of the cement sheath is influenced, and the mechanical behavior of the cement sheath in the pit is influenced, so that the yield failure of the cement sheath or the bonding failure of the cement sheath, the sleeve and the stratum interface are caused.
At present, scholars at home and abroad develop a plurality of researches on the aspects of the integrity of a sleeve-cement sheath interface, the integrity of a cement sheath and the like based on theoretical and experimental methods, and mainly comprise the cementing strength and the sealing performance of the sleeve-cement sheath interface. However, there are few theories and experiments on cement sheath thermal stress analysis, and in particular, the rationality of the theory is lacking in experimental verification, and the main reasons include the following two points: 1) The axial stress-deformation distribution of the cement sheath along the radial direction is difficult to accurately measure; 2) The testing device and the testing method for truly simulating the radial distribution of the axial stress-deformation of the cement sheath at alternating temperature are lacking.
Therefore, the invention provides a device and a method for testing the radial distribution of the axial stress-deformation of the cement sheath at alternating temperature, which can accurately acquire the radial distribution of the axial stress-deformation of the cement sheath under real working conditions and the temperature distribution characteristics of the cement sheath at any moment, and can provide theoretical basis for the well cementation mechanical property, the cement sheath integrity and the well cementation optimization design of an oil-gas well.
Disclosure of Invention
The invention aims to provide a device and a method for testing radial distribution of cement sheath axial stress-deformation at alternating temperature, which are simple to use and low in cost, and solve the technical problem that the cement sheath axial stress-deformation is difficult to test at alternating temperature while keeping the integrity of the testing device.
In order to achieve the above purpose, the present invention adopts the following technical scheme:
the invention provides a device and a method for testing radial distribution of axial stress-deformation of a cement sheath at alternating temperature, which are characterized in that the device comprises a high-frequency induction coil heater, an outer sleeve, an annulus, an inner sleeve, a pressure-bearing chamber, a wireless strain sensor, a first L-shaped cylinder, a second L-shaped cylinder, a third L-shaped cylinder, a fourth L-shaped cylinder, a first plug, a positioning step, a first thread, an air inlet pipeline, an exhaust pipeline, a pressure gauge, a first valve, a second valve, a first measuring element, a second measuring element, a third measuring element, a fourth measuring element and a cement sheath; the pressure-bearing chamber consists of an inner sleeve, an air inlet pipeline, an exhaust pipeline, a pressure gauge, a first valve and a second valve, wherein the outer wall of the inner sleeve is welded with a first L-shaped cylinder, a second L-shaped cylinder, a third L-shaped cylinder and a fourth L-shaped cylinder, the air inlet pipeline, the pressure gauge and the first valve are used for controlling the loading of the pressure-bearing chamber, and the exhaust pipeline and the second valve are used for controlling the unloading of the pressure-bearing chamber; the annular space for curing to form the cement ring consists of an outer sleeve, an inner sleeve and a first plug, wherein the outer sleeve is connected with the first plug through a first thread, and a positioning step in the first plug realizes centering of the inner sleeve in the outer sleeve; the high-frequency induction coil heater externally connected with the accurate temperature control system is wound on the outer wall of the outer sleeve to heat the outer sleeve; the first measuring element, the second measuring element, the third measuring element and the fourth measuring element are respectively composed of a first L-shaped cylinder, a second L-shaped cylinder, a third L-shaped cylinder, a fourth L-shaped cylinder and a wireless strain sensor, and the diameters of the first L-shaped cylinder, the second L-shaped cylinder, the third L-shaped cylinder and the fourth L-shaped cylinderThe axial length is respectively the inner diameter r of the outer sleeve 2 With the inner sleeve outer diameter r 1 1/5, 2/5, 3/5 and 4/5 of the difference value, the wireless strain sensors are respectively axially fixed on the outer wall of the inner sleeve, the first L-shaped cylinder, the second L-shaped cylinder, the third L-shaped cylinder, the fourth L-shaped cylinder and the inner wall of the outer sleeve, and the wireless strain sensors axially fixed on the outer wall of the inner sleeve can measure that the cement ring is in r 1 The axial strain of the position, the first measuring element can measure the cement sheath at r 1 +1/5(r 2 -r 1 ) The second measuring element can measure the axial strain of the cement sheath at r 1 +2/5(r 2 -r 1 ) The axial strain of the position, the third measuring element can measure the cement sheath at r 1 +3/5(r 2 -r 1 ) Axial strain at the position, the fourth measuring element can measure the cement sheath at r 1 +4/5(r 2 -r 1 ) Axial strain at the position, and a wireless strain sensor axially fixed on the inner wall of the outer sleeve can measure the cement sheath at r 2 Axial strain at the position is measured, so that axial strain of the cement sheath at different radial positions is measured.
Based on a testing device for radial distribution of cement sheath axial stress-deformation at alternating temperature, a method for testing radial distribution of cement sheath axial stress and deformation is provided, and the method mainly comprises the following steps:
step one: the wireless strain sensor is axially fixed on the outer wall of the inner sleeve, the first L-shaped cylinder, the second L-shaped cylinder, the third L-shaped cylinder, the fourth L-shaped cylinder and the inner wall of the outer sleeve respectively;
step two: the outer sleeve and the first plug are connected together through a first thread, and the inner sleeve is placed in the outer sleeve and matched with a positioning step in the first plug to center the inner sleeve in the outer sleeve;
step three: preparing a cement slurry system according to the actual requirements of the site, pouring cement slurry into an annulus, opening a first valve, enabling other valves to be in a closed state at the moment, simultaneously starting a high-frequency induction coil heater to heat a cement ring to a set temperature, adding the pressure of a pressure-bearing chamber to the curing pressure, closing the first valve, and waiting for curing to form the cement ring;
step four: after curing and molding, closing the high-frequency induction coil heater, opening the second valve after the cement sheath is naturally cooled, unloading the pressure of the pressure-bearing chamber, closing the second valve, opening the first valve, and adjusting the pressure of the pressure-bearing chamber to the simulated experimental pressure according to the experiment;
step five: starting a high-frequency induction coil heater to heat to an experimental temperature, monitoring and recording data of a wireless strain sensor in real time, keeping the temperature unchanged after the heating temperature rises to the experimental temperature, continuously monitoring and recording the data of the wireless strain sensor until the axial strain measured by the wireless strain sensor is stable and unchanged, and closing the high-frequency induction coil heater to naturally cool a cement sheath;
step six: repeating the fifth step according to specific experimental conditions, and simulating radial distribution conditions of axial strain of the cement sheath under different alternating temperature times;
step seven: opening a second valve, dismantling the experimental device after the pressure of the pressure-bearing chamber and the pipeline is unloaded, and storing experimental data;
step eight: based on Hooke's law, strain data recorded by a wireless strain sensor is pulled positive and the pressure negative, using the formula sigma z0 =E 0 ε 0 Calculating the cement ring at r 1 Axial stress at the point, σ z0 Is cement ring r 1 Axial stress at the location, MPa, E 0 Elastic modulus of inner sleeve, GPa, epsilon 0 An axial strain measured by a wireless strain sensor axially fixed at the outer wall of the inner sleeve; using the formula sigma z1 =E 1 ε 1 Calculating the cement ring at r 1 +1/5(r 2 -r 1 ) Axial stress at the point, σ z1 Is cement ring r 1 +1/5(r 2 -r 1 ) Axial stress at the location, MPa, E 1 Is the elastic modulus of the first L-shaped cylinder, GPa, epsilon 1 Axial strain for the first L-shaped cylinder; using the formula sigma z2 =E 2 ε 2 Calculating the cement ring at r 1 +2/5(r 2 -r 1 ) Axial stress at the point, σ z2 Is cement ring r 1 +2/5(r 2 -r 1 ) Axial stress at the location, MPa, E 2 Is the elastic modulus of the second L-shaped cylinder, GPa, epsilon 2 Axial strain for the second L-shaped cylinder; using the formula sigma z3 =E 3 ε 3 Calculating the cement ring at r 1 +3/5(r 2 -r 1 ) Axial stress at the point, σ z3 Is cement ring r 1 +3/5(r 2 -r 1 ) Axial stress at the location, MPa, E 3 The elastic modulus of the third L-shaped cylinder is GPa, epsilon 3 Axial strain for the third L-shaped cylinder; using the formula sigma z4 =E 4 ε 4 Calculating the cement ring at r 1 +4/5(r 2 -r 1 ) Axial stress at the point, σ z4 Is cement ring r 1 +4/5(r 2 -r 1 ) Axial stress at the location, MPa, E 4 Elastic modulus of the fourth L-shaped cylinder, GPa and epsilon 4 Axial strain for the fourth L-shaped cylinder; using the formula sigma z5 =E 5 ε 5 Calculating the cement ring at r 2 Axial stress at sigma z5 Is cement ring r 2 Axial stress at the location, MPa, E 5 Is the elastic modulus, GPa and epsilon of the outer sleeve 5 The axial strain measured by a wireless strain sensor axially fixed at the inner wall of the outer sleeve. According to the calculated data, the radial distribution characteristics of the cement sheath axial stress-deformation can be obtained;
step nine: according to the axial strain recorded during the stabilizing of the axial strain in the fifth step, the formula is utilized
Figure BDA0003483351490000041
Figure BDA0003483351490000042
Calculating the linear thermal expansion coefficient of the cement sheath, wherein +.>
Figure BDA0003483351490000043
The linear thermal expansion coefficient of the cement sheath is 1/. Degree.C, epsilon is the strain of a certain point in the cement sheath when the axial strain of the cement sheath is stable, the cement sheath is dimensionless, delta T is the difference between the highest temperature of an experiment and the indoor temperature, and DEG CCalculating the linear thermal expansion coefficients of a plurality of points in the cement ring, and then taking an average value to obtain the linear thermal expansion coefficient of the cement ring;
step ten: linear thermal expansion coefficient based on calculated cement sheath
Figure BDA0003483351490000044
Using the formula->
Figure BDA0003483351490000045
Calculating the difference value between the actual temperature and the room temperature at a certain point in the cement ring at a certain moment, wherein DeltaT is the difference value between the actual temperature and the room temperature at a certain point in the cement ring at a certain moment, epsilon is the axial strain of a certain point in the cement ring at a certain moment, and>
Figure BDA0003483351490000046
the linear thermal expansion coefficient of the cement sheath is the radial distribution of the axial strain of the cement sheath at a certain moment, so that the temperature distribution characteristic of the cement sheath at the moment can be obtained.
The invention has the following advantages:
the invention can accurately obtain the axial stress-deformation of the cement sheath at alternating temperature; the testing method is simple, the radial distribution characteristics and the thermal expansion coefficient of the cement sheath axial stress at alternating temperature can be obtained only by controlling the temperature of the high-frequency induction heater and the axial strain measured by the wireless strain sensor, and the temperature distribution in the cement sheath at any moment can be obtained according to the radial distribution characteristics and the thermal expansion coefficient of the cement sheath axial stress; the test result can provide an important theoretical basis for the cement sheath integrity and the well cementation engineering optimization design of the thick oil thermal production well.
Drawings
FIG. 1 is a schematic diagram of a testing apparatus for radial distribution of axial stress-deformation of cement sheath at alternating temperatures.
FIG. 2 is a schematic view of a measuring element and cement sheath.
Detailed Description
The present invention will be described in detail below with reference to the accompanying drawings.
SeeThe invention provides a testing device and a testing method for radial distribution of axial stress-deformation of a cement sheath at alternating temperature, which are characterized in that the device comprises a high-frequency induction coil heater 1, an outer sleeve 2, an annular space 3, an inner sleeve 4, a pressure-bearing chamber 5, a wireless strain sensor 6, a first L-shaped cylinder 7, a second L-shaped cylinder 8, a third L-shaped cylinder 9, a fourth L-shaped cylinder 10, a first plug 11, a positioning step 12, a first thread 13, an air inlet pipeline 14, an exhaust pipeline 15, a pressure gauge 16, a first valve 17, a second valve 18, a first measuring element 19, a second measuring element 20, a third measuring element 21, a fourth measuring element 22 and a cement sheath 23; the pressure-bearing chamber 5 consists of an inner sleeve 4, an air inlet pipeline 14, an air outlet pipeline 15, a pressure gauge 16, a first valve 17 and a second valve 18, wherein the outer wall of the inner sleeve is axially welded with a first L-shaped cylinder 7, a second L-shaped cylinder 8, a third L-shaped cylinder 9 and a fourth L-shaped cylinder 10, the air inlet pipeline 14, the pressure gauge 16 and the first valve 17 are used for controlling the loading of the pressure-bearing chamber 5, and the air outlet pipeline 15 and the second valve 18 are used for controlling the unloading of the pressure-bearing chamber 5; the annulus 3 for curing to form the cement sheath 23 consists of the outer sleeve 2, the inner sleeve 4 and the first plug 11, the outer sleeve 2 is connected with the first plug 11 through the first thread 13, and the positioning step 12 in the first plug 11 realizes centering of the inner sleeve 4 in the outer sleeve 2; the high-frequency induction coil heater 1 externally connected with the accurate temperature control system is wound on the outer wall of the outer sleeve 2 to heat the outer sleeve 2; the first measuring element 19, the second measuring element 20, the third measuring element 21 and the fourth measuring element 22 respectively consist of a first L-shaped cylinder 7, a second L-shaped cylinder 8, a third L-shaped cylinder 9, a fourth L-shaped cylinder 10 and a wireless strain sensor 6, and the radial lengths of the first L-shaped cylinder 7, the second L-shaped cylinder 8, the third L-shaped cylinder 9 and the fourth L-shaped cylinder 10 are respectively equal to the inner diameter r of the outer sleeve 2 2 With the outer diameter r of the inner sleeve 4 1 1/5, 2/5, 3/5 and 4/5 of the difference value, the wireless strain sensor 6 is respectively and axially fixed on the outer wall of the inner sleeve 4, the first L-shaped cylinder 6, the second L-shaped cylinder 7, the third L-shaped cylinder 8, the fourth L-shaped cylinder 9 and the inner wall of the outer sleeve 2, and the wireless strain sensor 6 axially fixed on the outer wall of the inner sleeve 4 can measure that the cement ring 23 is in r 1 The axial strain at the location, the first measuring element 19 can measure the cement sheath 23 at r 1 +1/5(r 2 -r 1 ) The second measuring element 20 can measure the axial strain of the cement sheath 23 at r 1 +2/5(r 2 -r 1 ) The third measuring element 21 can measure the axial strain of the cement sheath 23 at r 1 +3/5(r 2 -r 1 ) The fourth measuring 22 element can measure the axial strain of the cement sheath 23 at r 1 +4/5(r 2 -r 1 ) The axial strain at the position, the wireless strain sensor 6 axially fixed on the inner wall of the outer sleeve 2 can measure the cement sheath 23 at r 2 Axial strain at the cement sheath 23 is measured at different radial positions.
Based on the testing device of the radial distribution of the axial stress-deformation of the cement sheath at alternating temperature, a method for testing the radial distribution of the axial stress-deformation of the cement sheath at alternating temperature is provided, and the method mainly comprises the following steps:
step one: the wireless strain sensor 6 is axially fixed on the outer wall of the inner sleeve 4, the first L-shaped cylinder 7, the second L-shaped cylinder 8, the third L-shaped cylinder 9, the fourth L-shaped cylinder 10 and the inner wall of the outer sleeve 2 respectively;
step two: the outer sleeve 2 is connected with the first plug 11 through a first thread 13, and the inner sleeve 4 is placed in the outer sleeve 2 and matched with a positioning step 12 in the first plug 11 to realize centering of the inner sleeve 4 in the outer sleeve 2;
step three: preparing a cement slurry system according to the actual requirements of the site, pouring cement slurry into the annular space 3, opening the first valve 17, enabling other valves to be in a closed state at the moment, simultaneously starting the high-frequency induction coil heater 1 to heat the cement sheath 23 to a set temperature, adding the pressure of the pressure-bearing chamber 5 to the curing pressure, closing the first valve 17, and waiting for curing to form the cement sheath 23;
step four: after curing and molding, closing the high-frequency induction coil heater 1, opening the second valve 18, unloading the pressure of the pressure-bearing chamber 5, closing the second valve 18, opening the first valve 17, and adjusting the pressure of the pressure-bearing chamber 5 to the simulated experimental pressure according to experiments;
step five: starting the high-frequency induction coil heater 1 to heat the temperature to the experimental temperature, monitoring and recording the data of the wireless strain sensor 6 in real time, keeping the temperature unchanged after the heating temperature rises to the experimental temperature, continuously monitoring and recording the data of the wireless strain sensor 6 until the axial strain measured by the wireless strain sensor 6 is stable and unchanged, and closing the high-frequency induction coil heater 1 to naturally cool the cement sheath 23;
step six: repeating the fifth step according to the specific experimental condition, and simulating the situation that the axial strain of the cement sheath 23 is distributed along the radial direction under different alternating temperature times;
step seven: opening a second valve 18, dismantling the experimental device after the pressure of the pressure-bearing chamber 5 is unloaded, and storing experimental data;
step eight: based on hooke's law, strain data recorded by the wireless strain sensor 6 is pulled positive and the pressure negative using the formula σ z0 =E 0 ε 0 Calculate the cement sheath 23 at r 1 Axial stress at, in the formula, σ z0 At r for cement sheath 23 1 Axial stress at the location, MPa, E 0 Elastic modulus of the inner sleeve 4, GPa, ε 0 An axial strain measured by a wireless strain sensor 6 axially fixed at the outer wall of the inner sleeve 4; using the formula sigma z1 =E 1 ε 1 Calculate the cement sheath 23 at r 1 +1/5(r 2 -r 1 ) Axial stress at the point, σ z1 At r for cement sheath 23 1 +1/5(r 2 -r 1 ) Axial stress at the location, MPa, E 1 Is the elastic modulus of the first L-shaped cylinder 7, GPa, epsilon 1 Is the axial strain of the first L-shaped cylinder 7; using the formula sigma z2 =E 2 ε 2 Calculate the cement sheath 23 at r 1 +2/5(r 2 -r 1 ) Axial stress at the point, σ z2 At r for cement sheath 23 1 +2/5(r 2 -r 1 ) Axial stress at the location, MPa, E 2 Is the elastic modulus, GPa, epsilon, of the second L-shaped cylinder 8 2 Is the axial strain of the second L-shaped cylinder 8; using the formula sigma z3 =E 3 ε 3 Calculate the cement sheath 23 at r 1 +3/5(r 2 -r 1 ) Axial stress at the point, σ z3 At r for cement sheath 23 1 +3/5(r 2 -r 1 ) Axial stress at the location, MPa, E 3 Is the elastic modulus, GPa, epsilon, of the third L-shaped cylinder 9 3 Is the axial strain of the third L-shaped cylinder 9; using the formula sigma z4 =E 4 ε 4 Calculate the cement sheath 23 at r 1 +4/5(r 2 -r 1 ) Axial stress at the point, σ z4 At r for cement sheath 23 1 +4/5(r 2 -r 1 ) Axial stress at the location, MPa, E 4 Is the elastic modulus, GPa, epsilon, of the fourth L-shaped cylinder 10 4 Is the axial strain of the fourth L-shaped cylinder 10; using the formula sigma z5 =E 5 ε 5 Calculate the cement sheath 23 at r 2 Axial stress at sigma z5 At r for cement sheath 23 2 Axial stress at the location, MPa, E 5 The elastic modulus of the outer sleeve 2 is GPa, epsilon 5 For axial strain measured by a wireless strain sensor 6 axially fixed at the inner wall of the outer sleeve 2. According to the calculated data, the radial distribution characteristics of the cement sheath axial stress-deformation can be obtained;
step nine: according to the axial strain recorded during the stabilizing of the axial strain in the fifth step, the formula is utilized
Figure BDA0003483351490000071
Figure BDA0003483351490000072
Calculating the linear thermal expansion coefficient of the cement sheath 23, wherein +.>
Figure BDA0003483351490000073
For the linear thermal expansion coefficient of the cement sheath 23, 1/°c, epsilon is the strain of a certain point in the cement sheath 23 when the axial strain of the cement sheath 23 is stable, no dimension exists, deltat is the difference between the highest experimental temperature and the room temperature, and the linear thermal expansion coefficients of a plurality of points in the cement sheath 23 are calculated and then averaged to obtain the linear thermal expansion coefficient of the cement sheath 23;
step ten: based on the calculated linear thermal expansion coefficient of the cement sheath 23
Figure BDA0003483351490000074
Using the formula->
Figure BDA0003483351490000075
Calculating the difference between the actual temperature and the room temperature at a certain point in the cement sheath 23, wherein DeltaT is the difference between the actual temperature and the room temperature at a certain point in the cement sheath 23, epsilon is the axial strain at a certain point in the cement sheath 23, and delta T is the difference between the actual temperature and the room temperature at a certain point in the cement sheath 23>
Figure BDA0003483351490000076
The linear thermal expansion coefficient of the cement sheath 23 is obtained according to the radial distribution of the axial strain of the cement sheath 23 at a certain moment, and the temperature distribution characteristic of the cement sheath 23 at the certain moment can be obtained.

Claims (2)

1. The device is characterized by comprising a high-frequency induction coil heater (1), an outer sleeve (2), an annulus (3), an inner sleeve (4), a pressure-bearing chamber (5), a wireless strain sensor (6), a first L-shaped cylinder (7), a second L-shaped cylinder (8), a third L-shaped cylinder (9), a fourth L-shaped cylinder (10), a first plug (11), a positioning step (12), a first thread (13), an air inlet pipeline (14), an exhaust pipeline (15), a pressure gauge (16), a first valve (17), a second valve (18), a first measuring element (19), a second measuring element (20), a third measuring element (21), a fourth measuring element (22) and a cement sheath (23); the pressure-bearing chamber (5) consists of an inner sleeve (4), an air inlet pipeline (14), an air outlet pipeline (15), a pressure gauge (16), a first valve (17) and a second valve (18), wherein a first L-shaped cylinder (7), a second L-shaped cylinder (8), a third L-shaped cylinder (9) and a fourth L-shaped cylinder (10) are axially welded on the outer wall of the pressure-bearing chamber (5), the air inlet pipeline (14), the pressure gauge (16) and the first valve (17) are used for controlling the loading of the pressure-bearing chamber (5), and the air outlet pipeline (15) and the second valve (18) are used for controlling the unloading of the pressure-bearing chamber (5); the annular space (3) for curing to form the cement ring (23) consists of an outer sleeve (2), an inner sleeve (4) and a first plug (11), wherein the outer sleeve (2) is connected with the first plug (11) through a first thread (13), and a positioning step (12) in the first plug (11) realizes centering of the inner sleeve (4) in the outer sleeve (2); high-frequency induction wire externally connected with accurate temperature control systemThe ring heater (1) is wound on the outer wall of the outer sleeve (2) to heat the outer sleeve (2); the first measuring element (19), the second measuring element (20), the third measuring element (21) and the fourth measuring element (22) respectively comprise a first L-shaped cylinder (7), a second L-shaped cylinder (8), a third L-shaped cylinder (9), a fourth L-shaped cylinder (10) and a wireless strain sensor (6), and the radial lengths of the first L-shaped cylinder (7), the second L-shaped cylinder (8), the third L-shaped cylinder (9) and the fourth L-shaped cylinder (10) are respectively the inner diameter r of the outer sleeve (2) 2 With the external diameter r of the inner sleeve (4) 1 1/5, 2/5, 3/5 and 4/5 of the difference value, the wireless strain sensor (6) is respectively axially fixed on the outer wall of the inner sleeve (4), the first L-shaped cylinder (6), the second L-shaped cylinder (7), the third L-shaped cylinder (8), the fourth L-shaped cylinder (9) and the inner wall of the outer sleeve (2), and the wireless strain sensor (6) axially fixed on the outer wall of the inner sleeve (4) can measure that the cement ring (23) is at r 1 The first measuring element (19) can measure the axial strain of the cement sheath (23) at r 1 +1/5(r 2 -r 1 ) The second measuring element (20) can measure the axial strain of the cement sheath (23) at r 1 +2/5(r 2 -r 1 ) The third measuring element (21) can measure the axial strain of the cement sheath (23) at r 1 +3/5(r 2 -r 1 ) The axial strain at the position, the fourth measuring element (22) can measure the axial strain of the cement sheath (23) at r 1 +4/5(r 2 -r 1 ) The axial strain at the position, the wireless strain sensor (6) axially fixed on the inner wall of the outer sleeve (2) can measure the r position of the cement sheath (23) 2 Axial strain at the position is realized, and axial strain measurement of the cement sheath (23) at different radial positions is realized.
2. The method for testing the radial distribution of the axial stress-deformation of the cement sheath at the alternating temperature according to the device of claim 1, wherein the method for testing the radial distribution of the axial stress-deformation of the cement sheath at the alternating temperature comprises the following steps:
step one: the wireless strain sensor (6) is axially fixed on the outer wall of the inner sleeve (4), the first L-shaped cylinder (7), the second L-shaped cylinder (8), the third L-shaped cylinder (9), the fourth L-shaped cylinder (10) and the inner wall of the outer sleeve (2) respectively;
step two: the outer sleeve (2) is connected with the first plug (11) through a first thread (13), and the inner sleeve (4) is placed in the outer sleeve (2) and matched with a positioning step (12) in the first plug (11) to center the inner sleeve (4) in the outer sleeve (2);
step three: preparing a cement slurry system according to the actual requirements of the site, pouring cement slurry into an annulus (3), opening a first valve (17), enabling other valves to be in a closed state at the moment, simultaneously starting a high-frequency induction coil heater (1) to heat a cement ring (23) to a set temperature, adding the pressure of a pressure-bearing chamber (5) to the curing pressure, closing the first valve (17), and waiting for curing to form the cement ring (23);
step four: after curing and molding, closing the high-frequency induction coil heater (1), opening the second valve (18) after the cement sheath (23) is cooled, unloading the pressure of the pressure-bearing chamber (5), closing the second valve (18), opening the first valve (17), and adjusting the pressure of the pressure-bearing chamber (5) to the simulated experimental pressure according to the experiment;
step five: starting a high-frequency induction coil heater (1) to heat to an experimental temperature, monitoring and recording data of a wireless strain sensor (6) in real time, keeping the temperature unchanged after the heating temperature rises to the experimental temperature, continuously monitoring and recording the data of the wireless strain sensor (6) until the axial strain measured by the wireless strain sensor (6) is stable and unchanged, and closing the high-frequency induction coil heater (1) to naturally cool a cement sheath (23);
step six: repeating the fifth step according to specific experimental conditions, and simulating the situation that the axial strain of the cement sheath (23) is distributed along the radial direction under different alternating temperature times;
step seven: opening a second valve (18), dismantling the experimental device after the pressure of the pressure-bearing chamber (5) is unloaded, and storing experimental data;
step eight: based on Hooke's law, strain data recorded by a wireless strain sensor (6) is pulled positive and pressed negative using the formula sigma z0 =E 0 ε 0 Calculating the cement sheath (23) at r 1 Axial stress at the point, σ z0 Is a cement sheath (23) at r 1 Axial stress at the location, MPa, E 0 Elastic mould for inner sleeve (4)The amount of GPa, epsilon 0 An axial strain measured by a wireless strain sensor (6) axially fixed at the outer wall of the inner sleeve (4); using the formula sigma z1 =E 1 ε 1 Calculating the cement sheath (23) at r 1 +1/5(r 2 -r 1 ) Axial stress at the point, σ z1 Is a cement sheath (23) at r 1 +1/5(r 2 -r 1 ) Axial stress at the location, MPa, E 1 Is the elastic modulus, GPa, epsilon, of the first L-shaped cylinder (7) 1 Is the axial strain of the first L-shaped cylinder (7); using the formula sigma z2 =E 2 ε 2 Calculating the cement sheath (23) at r 1 +2/5(r 2 -r 1 ) Axial stress at the point, σ z2 Is a cement sheath (23) at r 1 +2/5(r 2 -r 1 ) Axial stress at the location, MPa, E 2 Is the elastic modulus, GPa, epsilon, of the second L-shaped cylinder (8) 2 Is the axial strain of the second L-shaped cylinder (8); using the formula sigma z3 =E 3 ε 3 Calculating the cement sheath (23) at r 1 +3/5(r 2 -r 1 ) Axial stress at the point, σ z3 Is a cement sheath (23) at r 1 +3/5(r 2 -r 1 ) Axial stress at the location, MPa, E 3 Is the elastic modulus, GPa, epsilon, of the third L-shaped cylinder (9) 3 Is the axial strain of the third L-shaped cylinder (9); using the formula sigma z4 =E 4 ε 4 Calculating the cement sheath (23) at r 1 +4/5(r 2 -r 1 ) Axial stress at the point, σ z4 Is a cement sheath (23) at r 1 +4/5(r 2 -r 1 ) Axial stress at the location, MPa, E 4 Is the elastic modulus, GPa, epsilon, of the fourth L-shaped cylinder (10) 4 Is the axial strain of the fourth L-shaped cylinder (10); using the formula sigma z5 =E 5 ε 5 Calculating the cement sheath (23) at r 2 Axial stress at sigma z5 Is a cement sheath (23) at r 2 Axial stress at the location, MPa, E 5 Is the elastic modulus of the outer sleeve (2), GPa, epsilon 5 The axial strain measured by a wireless strain sensor (6) axially fixed at the inner wall of the outer sleeve (2); obtaining the cement sheath axial stress-deformation radial direction according to the calculated dataA directional distribution feature;
step nine: according to the axial strain of the cement sheath (23) recorded during the axial strain stabilization in the fifth step, the formula is utilized
Figure QLYQS_1
Calculating the linear thermal expansion coefficient of the cement sheath (23), wherein>
Figure QLYQS_2
When the linear thermal expansion coefficient of the cement sheath (23) is 1/DEGC and epsilon is the axial strain of the cement sheath (23) is stable, the strain of a certain point in the cement sheath (23) is dimensionless, delta T is the difference between the highest experimental temperature and the room temperature, DEG C, the linear thermal expansion coefficients of a plurality of points in the cement sheath (23) are calculated, and then the average value is obtained to obtain the linear thermal expansion coefficient of the cement sheath (23);
step ten: based on the calculated coefficient of linear thermal expansion of the cement sheath (23)
Figure QLYQS_3
Using the formula->
Figure QLYQS_4
Calculating the difference between the actual temperature and the room temperature at a certain point in the cement sheath (23), wherein DeltaT is the difference between the actual temperature and the room temperature at a certain point in the cement sheath (23), and epsilon is the axial strain at a certain point in the cement sheath (23) at a certain point in time>
Figure QLYQS_5
The linear thermal expansion coefficient of the cement sheath (23) is obtained according to the radial distribution of the axial strain of the cement sheath (23) at a certain moment, and the temperature distribution characteristic of the cement sheath (23) at the certain moment can be obtained.
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