Submitted:
08 January 2026
Posted:
09 January 2026
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Abstract
Keywords:
1. Introduction
2. Magnetostrictive Sensors
3. Magnetostrictive Array Probes
4. Data Acquisition
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- Synthetic aperture focusing technique (SAFT): each segment used as a pulser/receiver pair
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- Common source method (CSM): all segments pulsed simultaneously, and each segment receives
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- Full Matrix Capture (FMC) mode: all possible segment combinations are used for pulsing and receiving
5. Challenges of Tank Bottom Inspection Using Guided Waves
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- Uneven and sometimes heavily rusted tank extension surface
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- Small tank extension (less than 25 mm to mount the probe)
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- Guided wave energy leaking into the vertical wall of the tank
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- High attenuation of guided waves in the presence of generalized corrosion, deposits, or liners
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- Great variety of tank bottom geometries (lap welded, butt-welded or both, patches and penetrations) and the absence of tank geometry configuration documentation
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- Presence of multiple areas with difficult access to the tank bottom extension due to other geometry features
6. Mockup Tests
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- The B-scan using 8 segments (Figure 10a) produced a 5.5 dB SNR for pit 1 (28% deep) and 13.8 dB SNR for pit 2 (56% deep). The SNR of the lap weld was 29.8 dB versus 32 dB SNR for the bottom plate end. On a linear scale, the pit 2 amplitude was 2.5 times higher than pit 1 (versus a factor of 2 in cross sectional area). The mode converted signal SNR was 2.8 dB. This level was not much greater than the background floor noise and very unlikely to result in a false positive call. The top end of the vertical wall produced 19.3 dB versus 29.8 dB indication produced by the lap weld. This implies that only half of the energy propagating in the bottom plate leaked in the vertical wall. Indication span (width) information could be hardly guessed from B-scan image. However, amplitude ratio between reflection from the top of vertical wall (19.3 dB) versus reflection from pit 2 (13.3dB) seems to be realistic (2/1 in linear scale). This last factor is important because reflection from the first horizontal weld in the tank wall can be used as a reflection reference for calibration purposes.
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- An 8-segment SAFT-scan (Figure 11b) produced 19.5 dB SNR for pit 1 and 22.5 dB for pit 2. The signal produced by mode conversion was 9.6 dB. In this case, pit 1 could be clearly detected at 9.9 dB higher amplitude over the nonrelevant indication. On linear scale, pit 2 amplitude was 1.4 times higher compared to pit 2 (versus actual 2/1 times amplitude ratio). The amplitude of indication produced by the lap weld was 65.8 dB compared to 73 dB amplitude produced by the bottom plate end. The top end of the vertical wall produced a 56.9 dB indication, implying that only 15% of the energy propagating in the bottom plate leaked into the vertical wall. This number is different than readings from the B-scan.
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- An 8-segment TFM image (Figure 11c) produced 36.8 dB amplitude for pit 1 (28% deep) and 44.8 dB amplitude for pit 2 (56% deep). There is a significant improvement in SNR for pit detection using TFM. However, an artifact produced by the mode converted signal was 36.5 dB, which is close to the amplitude of pit 1 and could potentially be misreported as indication. On the linear scale, the pit 2 amplitude was 2.5 times higher compared to pit 1 (versus actual two times amplitude ratio). The indication produced by the lap weld was 95 dB versus 108.4 dB produced by the bottom plate end. The top end of the vertical wall produced a 78.8 dB indication. This implies that only 15% of the energy propagating in the bottom plate leaked into the vertical wall (this number is offset similar to results when using SAFT). In comparison to SAFT, TFM produced about 6 dB improvement in SNR for the localized pits. The lap weld and plate end SNRs increased by about 30 dB. At the same time, the amplitude of the mode converted indication increased by 6 dB. The significant reduction of the indication produced by the mode-converted signal was the reason to process TFM image using two 4-segments acquisitions.
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- Figure 11d shows TFM reconstruction of data acquired from the first 4 segments, S1-S4. Segments 1 - 4 aligned well with pit 1. This pit produced 47 dB SNR, 10 dB higher than with all segments. Also, the pit 1 signal is now 8 dB greater than the 29.3 dB SNR produced by mode conversion instead of the approximately equal signal for all segments The reason for the improvement is better alignment of firing and receiving segments with anomaly location.
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- Figure 11e shows TFM reconstruction from the second subset of 4 segments, S5-S8. These segments were aligned well with pit 2. This pit produced 56.2 dB SNR, 12 dB higher than with the 8-segment TFM reconstruction and 23.5 dB greater than the mode converted signal. SNR numbers for the plate end, lap weld and vertical wall indications are similar to those from the TFM image of the 8-segment acquisition.
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- The amplitude ratio between pit 1 and pit 2 using segments 1-4 and 5-8, respectively, was 9 dB, a factor of approximately 2.8, vs. a cross-sectional area difference of a factor of 2.
- Signals leaking from the sides of the probe did not exceed 1.7% amplitude compared to the signals propagating in the desired direction at 64 kHz. This effect could be ignored on real tank bottom extensions due to the absence of sharp edges in actual tanks. This leakage amplitude is dependent on the test frequency and sensor design.
- Non-relevant indications due to the presence of S0 mode and mode conversion in corners produced indications of the order of 3% compared to the indications produced by the plate end. During testing on the realistic mockup, these indications were suppressed more effectively when using 8 segment SAFT or 4-segment TFM, compared to the reconstruction of the full set 8-segment FMC data.
- For a given scan length (area before the first lap weld), 4-segment TFM acquisition and processing produced better SNR than the 8-segment TFM.
- SAFT and TFM processing produced superior anomaly mapping information and SNR compared to B-scan imaging. An average of 30 – 40 dB SNR gain was accomplished for indications from anomalies and welds.
- The B-scan image produced more realistic amplitude ratios between anomaly indications and indication produced by the end of the vertical wall. This implies that initial amplitude calibration should be based on B-scan readings for more accurate defect sizing. This calibration information should be used for ranking of indications generated by SAFT or TFM algorithms.
7. Testing on Storage Tank
8. Conclusions
Author Contributions
Funding
Conflicts of Interest
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