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MAGNETOSTATIC PERMEABILITY TOMOGRAPHY IN MATERIAL INSPECTION

机译:材料检查中的磁导磁层析成像

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Structural materials in reinforced concrete, often made of iron, are sometimes damaged due to acid rain or salty wind. The magnetic permeability of the damaged materials change due to this damage. In this paper we study an advance monitoring system based on a magnetostatic permeability tomography (MPT) technique. The magnetostatic field is applied to the material from the external surfaces and the measurement data for inspection are the normal components of the resulting magnetostatic fields in the surface. Knowing the tangential component of the applied field and normal component of the measured field uniquely defines the permeability distributions. In practise, excitation and sensing coils can be used for the measurement configuration, in order to gather the data from the surface. The problem of the permeability reconstruction is then a nonlinear and ill-posed inverse problem. We employed a regularised Gauss-Newton method to recover the permeability distribution. The forward problem is to simulate the measurement process. We have implemented a 3D edge-based finite element package to solve the magnetostatic problem via a formulation based on magnetic vector potentials. For the Jacobian matrix and the sensitivity analysis we derived an efficient formulation based on the reciprocity theorem. The results of the forward problem and the sensitivity map will be presented in this paper. We also show the results of 3D permeability reconstruction for a numerically simulated MPT system. The system consists of 8 coils which are used to apply the primary field and measuring the resulting field. The images are reconstructed using synthetically generated data with 28 independent scanning measurements with added noise. The high contrast and low contrast permeability reconstruction will be discussed.
机译:通常由铁制成的钢筋混凝土结构材料有时会因酸雨或咸风而损坏。损坏的材料的导磁率由于这种损坏而改变。在本文中,我们研究了基于静磁导率层析成像(MPT)技术的高级监视系统。静磁场从外表面施加到材料上,并且用于检查的测量数据是表面中所得静磁场的正常分量。知道了施加场的切向分量和测量场的法向分量,就唯一地定义了渗透率分布。实际上,可以将激励线圈和感应线圈用于测量配置,以便从表面收集数据。渗透率重建的问题则是一个非线性且不适定的逆问题。我们采用正则化的高斯-牛顿法来恢复渗透率分布。当前的问题是模拟测量过程。我们已经实现了基于边缘的3D有限元程序包,通过基于磁矢量势的公式来解决静磁问题。对于雅可比矩阵和灵敏度分析,我们基于互易定理得出了一个有效的公式。前向问题的结果和灵敏度图将在本文中给出。我们还显示了数值模拟的MPT系统的3D渗透率重建结果。该系统由8个线圈组成,用于施加主场并测量所得场。使用合成的数据重建图像,并进行28次独立扫描测量,并增加噪声。将讨论高对比度和低对比度渗透率的重建。

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