DETECTING STRESS-STRAIN IN METAL COMPONENTS
20230304873 · 2023-09-28
Assignee
Inventors
- David E. Russell (Sherwood Park, CA)
- Yuwu Yu (Edmonton, CA)
- Ad Shatat (Edmonton, CA)
- Martin Korz (Edmonton, CA)
Cpc classification
G01B7/10
PHYSICS
International classification
Abstract
A system for detecting and quantifying changes in the stress-strain state of a ferrous structure includes an exciter coil system positioned to generate an AC magnetic field that couples into the ferrous structure. A detector apparatus is positioned relative to the exciter to detect an eddy current magnetic field resulting from the AC magnetic field generated by the exciter coil system. An analyzer compares the eddy current magnetic field parameters detected by the detector apparatus with the direct AC magnetic field transmitted by the exciter coil system and correlates changes in the parameters of the eddy current magnetic field with the stress-strain on the ferrous structure.
Claims
1. A system for detecting and quantifying changes in the stress-strain state of a ferrous structure, comprising: an exciter to generate an AC magnetic field that couples into the ferrous structure; a detector apparatus to detect an eddy current magnetic field resulting from the AC magnetic field generated by the exciter coil system; and an analyzer that compares the eddy current magnetic field parameters detected by the detector apparatus with the direct AC magnetic field transmitted by the exciter coil system and correlates changes in the parameters of the eddy current magnetic field with the stress-strain on the ferrous structure, the correlation based in direct proportion to the change in magnetic permeability of the ferrous structure and in indirect proportion to the magnetic susceptibility of the ferrous structure.
2. A system for detecting and quantifying the condition of a structure that is at least partially composed of ferrous substrate material or ferrous wires for pre-stressing the structure, comprising: an exciter coil system energized with an alternating current signal to generate an alternating magnetic field that couples into the ferrous structure or ferrous wires; a detector apparatus to detect an eddy current magnetic field resulting from the alternating magnetic field generated by the exciter coil system; and an analyzer that compares the eddy current magnetic field parameters detected by the detector apparatus with the alternating magnetic field transmitted by the exciter coil system and correlates changes in the parameters of the eddy current magnetic field with: a) changes in the wall thickness of the ferrous structure or breaks in the wire, as well as b) changes in the stress-strain on the ferrous structure or the structure that is pre-stressed by the wires.
3. The system of claim 1, wherein the magnetic field parameters that are analyzed include the amplitude and phase lag of the voltage of the eddy current magnetic field detected by the detector apparatus.
4. The system of claim 1, wherein the analyzer: determines changes in the magnetic permeability of the ferrous structure based on the amplitude and phase lag of the voltage of the eddy current magnetic field detected by the detector apparatus; and correlates the changes in magnetic permeability with the level of stress-strain on the ferrous structure.
5. The system of claim 1, wherein the frequency of the generated AC magnetic field is in the range of 0.5 to 1000 hertz.
6. The system of claim 1, wherein the ferrous structure is selected from a group including: ferrous pipe, ferrous tubing, ferrous tanks, ferrous pressure vessels, prestressed concrete cylinder pipe, ferrous beams; ferrous housings, ferrous plates; ferrous brackets.
7. The system of claim 1, wherein the detector apparatus is placed at a distance from the exciter coil system wherein a dominant magnetic field detected by the detector apparatus is the eddy current magnetic field.
8. The system of claim 1, wherein the exciter coil system and the detector apparatus are positioned at a location that is either (a) within the ferrous structure or (b) exterior to the ferrous structure.
9. The system of claim 1, wherein: the exciter coil system is positioned at a location that is either (a) within the ferrous structure or (b) exterior to the ferrous structure; and the detector apparatus is positioned at a location that is either (a) within the ferrous structure or (b) exterior to the ferrous structure.
10. A method of detecting and quantifying changes in the stress-strain state of ferrous structures, comprising: passing a remote field eddy current probe along the ferrous structure, the probe comprising an exciter coil and a detector coil or multiple detectors spaced from the exciter coil; energizing the exciter coil with a low-frequency alternating current to generate a magnetic field that couples into the ferrous structure to induce eddy currents passing through the ferrous structure, which eddy currents have their own magnetic field that opposes and lags the primary field induced by the exciter coil means; and detecting the magnetic field from the ferrous structure with the detector coil and correlating changes in the detected magnetic field with the stress-strain state of the ferrous structure, the correlation based in direct proportion to the change in magnetic permeability of the ferrous structure and in indirect proportion to the magnetic susceptibility of the ferrous structure.
11. The method of claim 10, further comprising analyzing the voltage of the detected magnetic field for amplitude and phase lag.
12. The method of claim 10, further comprising determining changes in the magnetic permeability of the ferrous structure based on the amplitude and phase lag of the voltage of the detected magnetic field and correlating the changes in magnetic permeability with the level of stress-strain on the ferrous structure.
13. The method of claim 10, further comprising energizing the exciter coil with an alternating current in the frequency range of 0.5 to 1000 hertz.
14. The method of claim 10, further comprising selecting the ferrous structure from a group including: ferrous pipe, ferrous tubing, ferrous tanks, ferrous pressure vessels, prestressed concrete cylinder pipe, ferrous beams, ferrous housings, ferrous plates, ferrous brackets.
15. The method of claim 10, further comprising placing detector coil at a distance from the exciter coil system wherein a dominant magnetic field detected by the detector coil is the eddy current magnetic field.
16. The method of claim 10, further comprising positioning the probe structure either: a) within the ferrous structure; or b) external to the ferrous structure.
17. A non-transitory computer-readable medium including computer-executable instructions which, when loaded onto a computer, perform a method, comprising: controlling a remote field eddy current probe structure to pass along or through the ferrous structure, the probe comprising an exciter coil and a detector coil spaced from the exciter coil; causing the exciter coil to be energized with a low-frequency alternating current to generate a magnetic field that couples into the ferrous structure to induce eddy currents passing through the ferrous structure, which eddy currents cause the ferrous structure to create its own magnetic field; and controlling the detector coil to detect the magnetic field from the ferrous structure and correlating changes in the detected magnetic field with the stress-strain state of the ferrous structure, the correlation based in direct proportion to the change in magnetic permeability of the ferrous structure and in indirect proportion to the magnetic susceptibility of the ferrous structure.
18. The computer executed method of claim 17, further comprising analyzing the voltage of the detected magnetic field for amplitude and phase lag.
19. The computer method of claim 17, further comprising determining changes in the magnetic permeability of the ferrous structure based on the amplitude and phase lag of the voltage of the detected magnetic field and correlating the changes in magnetic permeability with the level of stress-strain on the ferrous structure.
20. The computer executed method of claim 17, further comprising positioning the probe structure either: a) within the ferrous structure; or b) external to the ferrous structure.
Description
DESCRIPTION OF THE DRAWINGS
[0034] The patent or application file contains at least one drawing/photograph executed in color. Copies of this patent or patent application publication with color drawing(s) will be provided by the Office upon request and payment of the necessary fee.
[0035] The foregoing aspects and many of the attendant advantages of this invention will become more readily appreciated as the same become better understood by reference to the following detailed description, when taken in conjunction with the accompanying drawings, wherein:
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[0039] In the PCCP type of pipe shown in
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DETAILED DESCRIPTION
[0050] The inspection of steel pipelines is well established. In-Line Inspection (ILI) Tools utilize magnetic flux leakage, ultra-sonics, and RFEC to measure the pipe wall for variations in thickness caused by, for example, corrosion or cracks. RFEC is well suited for wall thickness measurements, and is not affected by internal scale, deposits, or liners, and therefore can be used as a non-contact inspection device. The RFEC technique was first patented by McLean in 1951.
[0051] Atherton (U.S. Pat. No. 6,127,823), “Electromagnetic Method For Non-Destructive Testing of Prestressed Concrete Cylinder Pipes for Broken Prestressing Wires,” taught that the integrity of pre-stress wires in concrete pressure pipes (PCCP pipes) 8, 9, 10, 11, 12 is critical to the ability of PCCP to maintain its design pressure during operations. If a critical number of pre-stress wires break due to corrosion or embrittlement, the pipe is likely to fail, often catastrophically. Atherton's patent was for a device that could detect broken pre-stress wires from inside the pipe using a technique that he called “Remote Field Eddy Current Transformer Coupling” (RFEC/TC).
[0052] The Atherton device induced an electrical current into the helically-wound wires 9 of PCCP pipe by means of an Exciter Coil means 3 placed inside the PCCP pipe in a manner similar to a common transformer. Any breaks in the wires could be detected by a detector coil 4 which was energized primarily by the induced electrical current flowing in the helix of the pre-stress wires and the steel cylinder 11.
[0053] Atherton's patent required a separation of the Exciter and Detector coils of at least 2.5 pipe diameters. In this region, the exciter coil's field inside the pipe has reduced to close to zero, but the external field that was induced by the exciter means in the wire helix and the steel cylinder was still strong and was the predominant field. This external field provided energy to the detector coils, again by transformer coupling, which varied depending on the integrity of the wires.
[0054] Pure Technologies (U.S. Pat. No. 6,791,318) improved on Atherton's patent by re-orienting the exciter and detector coils to bring them to within one pipe diameter of each other. This coil arrangement was more sensitive to wire breaks and was more efficient because the entire Tool was shorter, lighter, and could travel though a pipe at faster speeds.
[0055] In the current disclosure, the detection system does not measure the number of broken wires, but rather it measures the local variations in the amount of stress-strain (“Pre-Load”) that is imputed by the pre-stress wires into the steel cylinder.
[0056] Stress-strain in steel components (in this case the steel cylinder in a PCCP pipe) causes the relative magnetic permeability 40, 42 of the pipe to change. During manufacture, the more tension that is applied to the helix wires, the more the steel cylinder is under a compressive load and is therefore able to withstand internal pressure from the liquid or gas that it is transporting. The liquid or gas in the pipeline, in turn, exerts an internal pressure (“hoop stress” load) on the pipe that is the opposite of the compressive load from the pre-stress wires.
[0057] The amount of compressive load (Pre-Stress) on the pipe is designed with a safety margin to restrain the hoop stress load that the pipe is designed to withstand in operation. The internal pressure that is found in PCCP pipes comes from the compression of the water or other product that the pipe transports. This may be from the pumps which push the product through the pipes, or the weight of liquid product when the liquid source is at a high elevation. For example, pipes that carry water from mountain reservoirs to coastal treatment plants may vary in elevation by hundreds or thousands of feet. This internal pressure is often known as “head pressure.” Pipeline designers often specify pipes that are near the water source to be significantly thinner than pipes that are near the coast because of the difference in head pressure.
[0058] Similarly, pipe designers make pipes of increased thickness 2, 11, wire gauge 9, 44, 48, spacing of the wire helix and thickness of the steel cylinder 11 for pipes that are to withstand higher internal head pressure near the lower elevations on the coast.
[0059] When the pre-stress wires break in a PCCP pipe, the thin steel cylinder 11 relaxes and grows in diameter. The degree of relaxation and the growth of the steel cylinder 11 can be minute; however, when enough wires break, the steel cylinder can no longer restrain the internal pressure and the pipe will likely fail. This is an important problem because PCCP pipes are often very large (up to 20′ diameter) and contain vast amounts of water which can cause great damage if released suddenly.
[0060] Recently, applicants have shown through experiments performed on actual PCCP pipes removed from service after a critical number of broken wires were detected that the broken wires 45, 48 do not necessarily indicate that the pipe is in immediate danger of failing unless the pipe has also lost its pre-load. What is important to determine is whether the broken wires have allowed the pre-stress load on the cylinder 46, 47 to be reduced. In some cases, the concrete is in such good condition and is so well bonded to the steel cylinder and the pre-stress wires 44 that it retains the preload itself and the pipe is safe to remain in service.
[0061] The relaxation of the pre-load on the pipe can be measured by the devices described in this application by measurement of the relative magnetic permeability of the steel cylinder 40, 42. As PCCP pipes are typically very large and therefore expensive to replace, the disclosed system and method offers great value to the pipeline owner because of its ability to identify only those pipes that have reduced pre-load for replacement. PCCP pipe is, however, only one of the applications of the present system and method to detect local changes in the pipe's stress-strain state.
[0062] Other examples of local changes in the stress-strain state of pipelines (other than PCCP pipes) are described below, but it may be appreciated that there are many other examples of local changes not discussed herein.
[0063] The area of a pipeline that is near a cement anchor block 14 or other pipe restraint when the anchor block has moved due to earthquake, frost heave, or subsidence 15. This places a local load (stress-strain) 16 onto the pipeline. As the load increases the pipeline will deform, causing a dent 13, 43 or wrinkle, and if the load exceeds the tensile strength of the pipe, the pipe will fail.
[0064] Side-loads caused by a pipe sliding underground down a side hill. This can happen due to liquefaction of the soil, ground movement, pipe vibration from pumps, and other causes. The result is a local increase in the stress-strain state of the pipe at each end of the slide, where the pipe is restrained.
[0065] Point loads caused by the pipe resting on a rock 13, 43. The rock 42 may be supporting the weight of the steel pipeline and the weight of the product inside the pipeline and will impose a local concentration of stress in the pipe wall. Rock damage can lead to dents which often have cracks associated with them.
[0066] Bridging can occur when a pipeline is leaking, and the leaking liquid creates a sinkhole under the pipe and the pipe bridges the hole. This results in a change in the local stress of the pipe at each end and at the middle of the bridged section.
[0067] External local pressures caused by freezing of the ground around a pipe. When soil freezes, it expands and can squeeze a pipe or exert a side load on the pipe in a local area.
[0068] It is these local changes in the stress-strain state of a pipe that affect its relative magnetic permeability property which in turn is detected by the present system and method. The effect of mechanical deformation of a ferrous material on its magnetic permeability is commonly termed the Inverse Magnetostrictive Effect, or the Villari Effect. In materials with a positive saturation magnetostriction, compressive stresses act to increase the relative magnetic permeability of the material, while tensile stresses act to decrease the relative magnetic permeability of the material. In materials with a negative saturation magnetostriction, compressive stresses act to decrease the relative magnetic permeability of the material, while tensile stresses act to increase the relative magnetic permeability of the material. These fluctuations in the relative magnetic permeability quantity are measured and recorded as signal perturbations by the Remote Field Testing technique.
A. BRIEF DESCRIPTION OF THE INVENTION
[0069] According to the invention, an inspection device 3, 4, 17 is provided for ferrous metal objects such as pipes, pipelines, tanks, pressure vessels, and structural components. The device can measure changes in the local stress-strain state of the ferrous metal component from one side of the component, without contact with it, and at distances up to 4″ from the component. One important application is to detect loss of pre-load in pre-stressed concrete cylinder pipes (PCCP) 8, 9, 10, 11, 12. For pipelines such as PCCP, the device may be propelled or pulled through the pipeline to determine stress anomalies and to pinpoint their location along the pipe length.
[0070] In one embodiment, the device contains an exciter coil, “exciter means,” 3 which is positioned inside a PCCP pipe. At some distance away (which may vary from a few inches to several pipe diameters) a detector means 4 is positioned to receive the induced field from the exciter means. The detector 4 may be a coil or an array of coils, or it may be any other solid state device that can measure small changes in magnetic fields. The detector means can be a solid-state based sensor like a Hall Effect sensor, a Giant Magneto-Resistive device (“GMR”), or a similar device.
[0071] In another embodiment, the exciter means 3 and detector means 4 may be proximal to the outside of a pipe or pipeline or other ferrous component.
[0072] In another embodiment, the exciter means 3 may be on one side of a ferrous component and the detector means 4 may be on the other side.
[0073] In all embodiments of the invention, the exciter means 3 transmits a low frequency electro-magnetic signal which couples to and is guided by the ferrous component. Much of the electro-magnetic energy is present in the wall of the ferrous component; however, some of the field penetrates through the wall 6. In an RFEC device, the field penetrates the wall twice to travel from the exciter means 3 to the detector means 4 (see
[0074] The electromagnetic energy is preferably generated in the frequency range of sub 1 Hz to 1000 Hz. Lower frequencies can penetrate thicker ferrous components and higher frequencies offer increased resolution.
[0075] The exciter means 3 may be a coil of copper or aluminum wire that is oriented either co-axially or at an angle to the ferrous structure in order to direct the field in a preferred direction in the pipe wall. The preferred direction may be axial, or circumferential, or radial depending on where it is convenient to place the detector means 4, and what anomalies are to be detected.
[0076] In some applications, the change in stress-strain on the pipe is manifested by stress-corrosion cracking (“SCC”) which usually has an axial orientation. In order to detect this type of local stress-strain anomaly, the magnetic component of the field should optimally be at ninety degrees to the crack propagation direction. In this case the exciter means 3 and detector means 4 are ideally oriented to introduce a magnetic field that is normal to the pipe axis.
[0077] In a PCCP pipe application, the pre-stress wires 9 are wound onto the cylinder 11 in a helical fashion at high tension to place the steel cylinder into compression and to thereby increase its strength. When the pre-stress wires break, the pre-load on the cylinder is relaxed and the pipe can fail. For this application, the ideal orientation of the exciter-detector array can be co-axial, radial, or circumferential relative to the cylinder. Depending on the make-up of the cylinder (spiral welded, axial welded, riveted etc.), the exciter-detector orientations will vary to place the field along the “magnetic easy access” of the “cylinder.”
[0078] In a PCCP pipe, certain circumstances can lead to wire breaks without a loss of preload on the cylinder. This invention can detect a change in the pre-load in PCCP pipe, which is an indication that the pre-stress wires have failed and the pre-load on the steel cylinder has been lost. Conversely, this invention can detect if there has been no loss of pre-load even where the pre-stress wires are broken, for example, due to corrosion or cracking.
[0079] There are two common forms of pre-stress wire degradation and failure in PCCP pipe: corrosion failure and cracking failure. In the former case, typically the concrete and/or mortar coating has cracked and has allowed ground water to come into contact with the wires. The wires can then corrode through and release their pre-load on the steel cylinder. Because the concrete has cracked already, it is usually poorly bonded to the wires and cylinder 48 and will typically spall off the outside of the pipe when the wires release their tension. In the latter case, the wires can fail due to hydrogen embrittlement. In this case, the concrete may be in excellent condition: well bonded to the wires and cylinder 44 and cracking failure of the wires does not necessarily release the pre-load on the cylinder and the pipe may be left in service for many years, saving unnecessary costs of replacing pipe that is still fit for service.
B. EXAMPLES
[0080] In order to establish that the RFEC technique can be used to detect and quantify local stress-strain changes, two experiments with prototype equipment were performed:
Example 1: PCCP Pipe
[0081] Five C-301E PCCP pipes were removed from a pipeline owned by a Texas Water Authority. The pipes had been inspected using the technique patented by Pure Technologies in 2004 (the device that they used contained an exciter means and detector means located within one pipe diameter from each other). Wire breaks had been detected in all five pipes, which exceeded the recommended safety limit for the pipe type and so they were removed from service. Applicant was invited to run its RFEC Tool through the pipes to determine if the wire breaks had resulted in a loss of pre-load on the steel cylinder.
[0082] Two areas on different pipes were selected that had no detectable wire breaks. Baseline runs were conducted before and after an area of external concrete was removed to expose the pre-stress wires and to make breaks in them in a controlled manner (
[0083] Wires were cut using a circular saw and after each successive wire cut, the Tool was run past the two areas. After 5 wires were cut into each pipe, the in-phase and amplitude signals in the poorly bonded concrete pipe showed signal changes which increased in size as more wires were cut (
[0084] After ten wires had been cut in both sets of exposed wires, and a length of about 5″ of wire had been removed for each of the ten wires, the wires were electrically reconnected, using short lengths of wire with alligator clips. The RFEC tool was run again and there was no observable change in the signals from either of the two areas from before and after the alligator clips re-connected the wires.
[0085] It was also noted that on the pipe that had poorly bonded concrete, when a wire was cut, the wire made an audible ‘snap’ sound and the wire recoiled within the concrete, resulting in a gap of ¼″ to 2″ between the wire ends. On the pipe which had well bonded concrete, there was no “snap” noise when the wires were cut, and the ends of the coil were only the distance apart that was due to the width of the cutting disk (
Conclusions From the Test on PCCP Pipe
[0086] When the concrete has a strong bond to the wires and the steel cylinder it carries or maintains the pre-load on the cylinders by not allowing the wires to recoil and release their pre-load
[0087] When the concrete bond is poor (
[0088] Wire breaks in areas where the concrete bond is strong, and the pre-load is not released are difficult to detect with the RFEC technique.
[0089] The release of pre-load on the thin steel cylinder places the pipe in danger of failure.
[0090] The detection and quantification of changes in the local stress-strain state of the cylinder, in this case, a release of compressive force or pre-load, are very viable with the disclosed RFEC technique.
Example 2: Oil Pipeline
[0091] A 6″ diameter steel pipeline was inspected using an RFEC tool and a local magnetic permeability signal was noted (
[0092] The location of the anomaly was excavated and examined (
Conclusions From the Testing on a Steel Pipeline
[0093] An RFEC ILI Tool can detect local areas of change in the stress-strain state of steel pipelines and differentiate the stress-strain signal from the signal that indicates loss of wall thickness.
[0094] The signal from a local change of stress-strain state can be analyzed even when a second signal (in this case, from wall loss) is super-imposed on the stress-strain signal (
[0095] Local areas of change in stress-strain can be as important as loss of pipe wall due to corrosion because localized stress-strain can lead to cracking (such as SCC), which in turn can lead to pipeline rupture.
[0096] Pipeline rupture is far more dangerous than a corroded through hole which may leak hydrocarbons into the soil. but is unlikely to cause a sudden and massive pipe failure with potential hazards of fire or explosion.
C. FUNCTIONS OF SYSTEM AND DEVICE
[0097] A non-contact measurement system for detecting and quantifying the stress-strain state of ferrous metals and especially pipelines.
[0098] A device that detects and quantifies local changes in the relative magnetic permeability of ferrous metal pipes to infer their local stress-strain state.
[0099] A device that detects a local change of stress, or a relaxation of stress (“pre-load”) in concrete pressure pipes.
[0100] A device that measures the stress-strain state of support beams and columns in structures such as bridges, ships, buildings, storage tanks, pressure vessels and the like.
[0101] A measurement technique for assessing the ability of a concrete pressure pipe to contain its design pressure in the presence of a local loss of preload.
[0102] An internal device to detect changes in the stress-strain state of a ferrous pipeline.
[0103] An external device to detect changes in the stress-strain state of a ferrous pipeline.
[0104] A device that works through coatings, fire-proofing, concrete layers, and insulation up to 4″ thick to detect changes in the local stress-strain state of a ferrous metal.
[0105] A device that plots the stress-strain state of a pipe or pipeline with respect to its length in order to pinpoint local areas of stress-strain anomalies.
[0106] While illustrative embodiments have been illustrated and described, it will be appreciated that various changes can be made therein without departing from the spirit and scope of the invention. For example, the present system and methods can be applied in conjunction with the use of RFEC to detect changes or anomalies in the wall thickness and broken pre-stress wires of the structure being inspected, which as noted above has been the traditional use of RFEC technology. The present disclosure contemplates monitoring not only changes in the structure wall thickness and broken pre-stress wires, but also detecting and quantifying the stress-strain state of the structure simultaneously.
[0107] In this regard, applicants note that when ground water comes into contact with the wires and the steel cylinder, the wires will corrode and eventually will break, and the cylinder will either blow out or will corrode through and start leaking. This is what inspection companies that use RFT or NFT have been doing for the last 20+years. The detection of and realization that permeability signals are embedded within the wall-thickness signals are new to applicants' system and methods as disclosed in this application.
[0108] The importance of permeability signals has been realized by applicants because companies have been replacing pipe sections at great expense when there is no corrosion of the wires or cylinder. The wires breaks (typically due to hydrogen embrittlement) have been detected and reported by a RFT or NFT technique; however, even though the wires are broken, applicants have found that the concrete is in good shape and is taking up the load on the cylinder that the wires provided before breaking. The strong concrete, together with the soil load, has resulted in no loss of preload on the cylinder therefore, the pipes can be left in the ground and in service. By monitoring these pipes over time, they can be left in service indefinitely. It is only the lack of change in the relative magnetic permeability signal that can assess whether the preload has been lost.
[0109] In order to enhance the permeability signals, multi-frequency techniques are used and the absolute, differential, and signal magnitude (rather than the signal log-amplitude as used in RFT for wall loss detection) are monitored and analyzed.
[0110] When true wall loss is encountered, the signal will rotate CCW with increasing frequency; however, permeability signals tend to be very similar in phase angle regardless of frequency.
[0111] With respect to monitoring frequency, the frequencies used to detect thickness changes in steel/ferrous pipe (using an RFT Tool from the inside) vary depending on the wall thickness of the steel pipe. For example, for ½″ to ⅝″ steel thickness, exciter frequencies will be in the range of 2 Hz to 10 Hz range. For wall thickness of ¼″ to ⅜″, exciter frequencies will be in the range of 12 Hz to 20 Hz range. For thinner materials, for example, 0.10 inch to 0.20 inch wall thicknesses, the excited frequency may be increased to 20 Hz to 40 Hz. The objective is to set the frequency to that which produces 1 degree of phase angle change for every 1% of wall thickness decrease.
[0112] On the other hand, for permeability change monitoring, it's only important to have a frequency low enough to penetrate the wall twice and produce a readable signal, so, typically the frequencies used might be 2× those used for wall thickness variation detection. However, permeability analysis can occur at all the same frequencies that are used for RFT, as well as up to two times of the frequencies use for RFT.
[0113] An advantage to using a higher frequency for permeability monitoring and analysis is that the inspection speed can be increased.
[0114] For external tools or tools that operate in the near field, the “rules” are similar; however, those tools are very sensitive to proximity (lift-off), so it's important for those tools to closely control the lift-off. Internal tools are not as sensitive to lift off, which for internal tools is known as “Fill Factor.”
[0115] As noted above, the determined changes in magnetic permeability can be correlated with the level of stress-strain on a ferrous structure. This correlation can be achieved by scanning a sample of the ferrous structure in question with an electromagnetic probe to measure the change in the magnetic permeability portion of the EM signal while applying an increased stress on the sample, for example by a side-load. As the side-load is increased, the magnetic permeability component of the electromagnetic signal increases as well. With this established relationship between applied stress and the change in the magnetic permeability portion of the measured electromagnetic signal, the changes in magnetic permeability detected by the test probe can be correlated qualitatively to the level of stress-strain on the ferrous structure being tested. The characteristics of the stress can also be determined from the EM signal, such as, tensile or compressive and direction of the stress (longitudinal or axial, hoop or circumferential).
[0116] The stress on a ferrous structure can be determined by calculating the change in magnetic permeability which is then used to calculate the stress on the structure. RFEC inspection tools can detect and size magnetic permeability changes. Local stress indications can be identified from RFEC data VPPP (voltage plane polar plot). They usually show as small indications going across the RFEC reference spiral, as seen from
[0117] Stress generates a phase shift which is measured as an absolute value in radians, Δφ, in RFEC data and can be measured from VPPP and is calculated as follows:
where d is the pipe wall thickness in meters, π the ratio of the circumference of a circle to the diameter of the circle, μ the magnetic permeability in Henry per meter, σ the electrical conductivity in Ohm-meter (Ω.Math.m), f the test frequency in Hertz, Δμ the magnetic permeability change in Henry per meter and √{square root over (πμσƒ)} can be calculated from free air phase, (Ø.sub.free air) and nominal wall phase (Ø.sub.nominal):
d√{square root over (πμσƒ)}=|Ø.sub.free air−Ø.sub.nominal|/2. (2)
[0118] Magnetic permeability changes can be expressed as
[0119] Stress inside a ferromagnetic material creates an effective magnetic field, given by the following equation
where B is the magnetic flux density in Tesla, μ.sub.0 the magnetic permeability of free space in Henry per meter, H.sub.σ in Ampere per meter (A/m) the effective magnetic field associated with the stress, σ the stress in Pascal or Newton per square meter (note: symbol σ in Equation (1-3) and Equation (4 and 6, 8-10 below) stands for different physical quantities as described above), M.sub.s the intrinsic spontaneous or saturation magnetization in Ampere per meter and magnetostriction (dimensionless), λ, can be expressed as Taylor series expansion of the magnetization M.sub.s. As the first order of approximation for the magnetostriction, λ, can be written as
λ=bM.sub.s.sup.2, (5)
where b is a coefficient in unit of (A/m).sup.−2.
[0120] In the absence of external magnetic field, Eq. (4) can be rewritten as
B=3bσM.sub.s. (6)
[0121] The intrinsic magnetization of the carbon steel pipe can be written as
M.sub.s=χH.sub.s, (7)
where χ is the magnetic susceptibility (dimensionless) and H.sub.s in Ampere per meter the equivalent magnetic field associated with the intrinsic magnetization, M.sub.s. Eq. (6) can then be rewritten as
B=3bχσH.sub.s, (8)
[0122] The magnetic permeability change resulting from the stress can be written as a function of stress in the form of
Δμ=3bχσ. (9)
[0123] And the internal stress in absolute value, σ, (tensile, compressive or combination of both) can be calculated as
σ=Δμ/(3bχ), (10)
Magnetic permeability change, Δμ, can be determined from RFEC data as set forth above. The coefficient, b, and the magnetic susceptibility, χ, can be measured experimentally. For example, the stress equation coefficient b=3.4×10.sup.−12 (A/m).sup.−2 for A195 steel (low carbon steel, ASTM equivalent of A283A/B Gr. A) and 2.0×10.sup.−12 (A/m).sup.−2 for silicon steel. Equation (10) is applicable to both residual and dynamic stress. Total stress is the sum of both residual and dynamic stress at any location in the ferromagnetic structures, such as steel pipes.
[0124] The magnetic susceptibility χ=μ.sub.r−1 is a measure of how much a material will become magnetized in an applied magnetic field.
[0125] Also, μ.sub.r is the relative magnetic permeability with no unit (dimensionless). The relative magnetic permeability of a magnetic material is the measure of relative ease with which that magnetic material conducts magnetic flux as compared with the conduction of magnetic flux in air.
[0126] On the other hand, μ is the absolute or actual magnetic permeability of a material which is its conductivity for the magnetic flux. Absolute and relative magnetic permeability have the relationship: μ=μ.sub.0μ.sub.r, where μ.sub.0 is the magnetic permeability of free space.
Example 3
[0127] Example 3 is an example of the calculation of the stress on a pipe wall based on the measured change in magnetic permeability:
TABLE-US-00001 Permeability Notes/ Physical quantity Value Unit comments Measured phase 42.0 * degrees changeΔ.sub.φ (degrees) Measured phase 0.7330 ** radians change Δ.sub.φ (radians) RFT tool test frequency f 5 * Hertz Pipe wall thickness 0.375 * inches Pipe wall thickness d 0.0095 ** m pi = 3.1415927 ** Electric conductivity 5.56E+06 * Siemens/m of pipe σ Free space permeability 1.25664E−06 ** H/m Relative magnetic 200 * permeability of the pipe Mur change (part 1) 6.7815E−05 ** H/m Negligible Mur change (part 2) 2.6110E−04 ** H/m second Magnetic permeability 3.2892E−04 ** H/m change Δμ Relative mag perm 261.7 ** change Δμr Dynamic stress Notes/ Physical quantity Value Unit comments Stress formula coefficient b = 3.400E−12 * (A/m){circumflex over ( )}-2 Magnetic susceptibility χ = 1.0 ** Stress (N/m{circumflex over ( )}2) 3.22E+07 ** N/m{circumflex over ( )}2 Stress (MPa) 32.25 ** MPa Notes 1. Input values = */Output values = **