Tube wall loss from phase angle
In bobbin coil tube testing depth is read from the phase angle of the flaw signal, not from its amplitude. Eddy current phase lags progressively with depth, so an OD-initiated flaw signal is rotated relative to an ID-initiated one of the same severity. Amplitude, by contrast, is dominated by the volume of missing metal and by fill factor, so a long shallow OD groove and a small deep pit can give the same height on the screen while sitting tens of degrees apart in phase.
The relationship between phase and depth is real physics but it is not a straight line, and it is not the same for every tube size, frequency, probe or instrument. That is why every procedure requires a calibration curve to be constructed from the reflectors machined into the applicable calibration standard: the signal from each known-depth reflector is rotated to the required convention, its phase recorded, and a curve of phase against percent through-wall built for that exact set-up.
Depth is then read by interpolating between the two calibration points that bracket the measured angle. Interpolating between adjacent points is standard practice and is acceptable because the curve is smooth over a short span, but extrapolating past the shallowest or deepest calibration reflector is not – the curve flattens at both ends and an extrapolated depth can be badly wrong in the direction that matters.
Use this at the analysis station to convert a phase reading into a reportable percent through-wall and a remaining wall, and to check by hand a depth that automated software has assigned. If the measured angle falls outside the calibration bracket, the answer is to re-run the calibration standard at a frequency that brackets it, not to extrapolate.
Worked example
| Measured phase angle | 100 deg |
| Phase of shallower calibration reflector | 130 deg |
| Depth of shallower calibration reflector | 20 % |
| Phase of deeper calibration reflector | 75 deg |
| Depth of deeper calibration reflector | 60 % |
| Nominal wall thickness | 1.2 mm |
| Wall loss | 41.8 %TW |
| Flaw depth | 0.502 mm |
| Remaining wall | 0.698 mm |
| Remaining wall | 58.2 % |
A 1.20 mm wall tube. The calibration standard gave 130 degrees for the 20 %TW reflector and 75 degrees for the 60 %TW reflector; the indication reads 100 degrees, which sits between them. %TW = 20 + (100 - 130) x (60 - 20) / (75 - 130) = 20 + (-30 x 40)/(-55) = 20 + 21.818 = 41.8 %TW. Depth = 1.20 x 0.41818 = 0.502 mm, so remaining wall = 1.200 - 0.502 = 0.698 mm, which is 58.2 % of nominal.