Accurate Thickness Inversion of Corrosion Using A1 Lamb Wave

Min Lin, Yang Liu
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Abstract

Corrosion is one of the most critical issues in the oil and gas industry, leading to severe environmental and economic problems. Due to the high cost and serious safety risk of corrosion, it is essential to improve current corrosion testing techniques to detect corrosion damages at an early stage. Guided wave tomography (GWT) demonstrates its great potential to inspect and quantify the corrosion damage. GWT is capable of determining the residual life of corrosion structures by quantifying the remaining wall thickness. In this paper, an accurate guided wave tomography technique incorporating full waveform inversion (FWI) and higher-order Lamb waves (A1 mode) is presented for plate-like structures, which is able to get high-resolution reconstruction results. The technique consists of three steps: forward modeling, velocity inversion and thickness reconstruction. The forward modeling is computed by solving the elastic full-wave equations in 2-D time domain by using the finite difference method. High-resolution phase velocity inversion can then be obtained by minimizing the waveform misfit function between simulated and recorded data using a second order optimization method, which updates the velocity model from low to high frequencies iteratively. Finally, the velocity variations can be transformed into depth profiles by using the dispersive characteristics of ultrasonic guided waves; therefore, the thickness reconstruction can be obtained. The numerical simulations are performed on an aluminum plate with a complicated corrosion defect. By comparing the thickness reconstruction maps using both A1 and A0 modes, the results demonstrate that FWI with A1 mode can achieve significantly better resolution of corrosion imaging than that with A0 mode.
利用A1 Lamb波精确反演腐蚀厚度
腐蚀是油气行业中最关键的问题之一,会导致严重的环境和经济问题。由于腐蚀的高成本和严重的安全风险,必须改进现有的腐蚀测试技术,以便在早期发现腐蚀损伤。导波层析成像(GWT)在检测和量化腐蚀损伤方面显示出巨大的潜力。GWT能够通过量化剩余壁厚来确定腐蚀结构的剩余寿命。本文提出了一种结合全波形反演(FWI)和高阶Lamb波(A1模)的精确导波层析成像技术,可以获得高分辨率的板状结构重建结果。该技术包括三个步骤:正演建模、速度反演和厚度重建。利用有限差分法在二维时域内求解弹性全波方程,进行正演模拟。采用二阶优化方法,从低频到高频迭代更新速度模型,使模拟数据与记录数据之间的波形失拟函数最小化,从而获得高分辨率的相速度反演。最后,利用超声导波的色散特性将速度变化转化为深度剖面;因此,可以得到厚度重建。对具有复杂腐蚀缺陷的铝板进行了数值模拟。通过对比A1和A0模式下的厚度重建图,结果表明,A1模式下的FWI腐蚀成像分辨率明显优于A0模式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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