FDM-based Leak Detection of Complex Pipelines: Robust Technique for Eigenvalues Assessment

An interesting technique, used in nuclear magnetic resonance data processing for tackling FFT limitations, FDM (Filter Diagonalization Method), can be used, by considering the pipeline, especially complex configurations, as a vascular apparatus with arteries, veins, capillaries, etc.. The thrombosis, for human vascular apparatus, that might be occur, can be considered as a leakage for the complex pipeline. The choice of eigenvalues in FDM or in Spectra-based techniques is a key issue in recovering the solution of the main equation (for FDM) or frequency domain transformation (for FFT) in order to determine the accuracy in detecting leaks in pipelines. This paper illustrates a robust technique in assessing the problem of eigenvalues making it less experimental and more analytical using Tikhonov – based regularization techniques