Fast methods for quantitative eddy-current tomography of conductive materials
Fast methods for quantitative eddy-current tomography of conductive materials
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DOI：
10.1109/tmag.2006.877542
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发表时间：
2006-08
影响因子：
2.1
通讯作者：
A. Tamburrino;G. Rubinacci
中科院分区：
文献类型：
--
作者：
A. Tamburrino;G. Rubinacci
在本文中，我们解决了成像的导电材料的电阻率的空间分布，通过使用涡流无损检测的数据。具体而言，数据由使用线圈阵列采集的几个频率下的阻抗矩阵的测量值组成。成像方法处理阻抗矩阵相对于频率的幂级数展开的二阶项（根据测量数据估计）。由于在相对低的频率下发生在被测导体中的异常的存在，该项解释了阻抗矩阵的变化的电阻贡献。将导体内部给定的电阻率分布映射到二阶项的算子满足适当的单调性。单调性使得它可以应用一个快速的非迭代成像方法，最初由作者开发的椭圆问题，如电阻层析成像。数值算例显示了该方法的主要特点，并证明了实时成像的可能性。
In this paper, we address the imaging of the spatial distribution of the resistivity of conductive materials by using data from eddy-current nondestructive testing. Specifically, the data consists of measurements of the impedance matrix at several frequencies acquired using a coil array. The imaging method processes the second-order term (estimated from the measured data) of the power series expansion, with respect to frequency, of the impedance matrix. This term accounts for the resistive contribution to changes of the impedance matrix, due to the presence of anomalies in the conductor under test, occurring at relatively low frequencies. The operator mapping a given resistivity distribution inside the conductor into the second-order term satisfies a proper monotonicity property. The monotonicity makes it possible to apply a fast noniterative imaging method initially developed by the authors for elliptic problems such as electrical resistance tomography. Numerical examples show the main features of the proposed method, and demonstrate the possibility of real-time imaging.