{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,3]],"date-time":"2026-04-03T11:29:42Z","timestamp":1775215782725,"version":"3.50.1"},"reference-count":113,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2015,12,10]],"date-time":"2015-12-10T00:00:00Z","timestamp":1449705600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Magnetic flux leakage (MFL) detection is one of the most popular methods of pipeline inspection. It is a nondestructive testing technique which uses magnetic sensitive sensors to detect the magnetic leakage field of defects on both the internal and external surfaces of pipelines. This paper introduces the main principles, measurement and processing of MFL data. As the key point of a quantitative analysis of MFL detection, the identification of the leakage magnetic signal is also discussed. In addition, the advantages and disadvantages of different identification methods are analyzed. Then the paper briefly introduces the expert systems used. At the end of this paper, future developments in pipeline MFL detection are predicted.<\/jats:p>","DOI":"10.3390\/s151229845","type":"journal-article","created":{"date-parts":[[2015,12,14]],"date-time":"2015-12-14T02:57:29Z","timestamp":1450061849000},"page":"31036-31055","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":325,"title":["Theory and Application of Magnetic Flux Leakage Pipeline Detection"],"prefix":"10.3390","volume":"15","author":[{"given":"Yan","family":"Shi","sequence":"first","affiliation":[{"name":"School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China"}]},{"given":"Chao","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5084-0276","authenticated-orcid":false,"given":"Rui","family":"Li","sequence":"additional","affiliation":[{"name":"School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China"},{"name":"PetroChina Pipeline Company, Langfang 065000, China"}]},{"given":"Maolin","family":"Cai","sequence":"additional","affiliation":[{"name":"School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China"}]},{"given":"Guanwei","family":"Jia","sequence":"additional","affiliation":[{"name":"School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China"}]}],"member":"1968","published-online":{"date-parts":[[2015,12,10]]},"reference":[{"key":"ref_1","first-page":"124","article-title":"A novel pipe-cap system for corrosion protection and security","volume":"11","author":"Rott","year":"2012","journal-title":"J. Pipeline Eng."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Kim, H.M., Rho, Y.W., Yoo, H.R., Cho, S.H., Kim, D.K., Koo, S.J., and Park, G.S. (2012, January 20\u201324). A study on the measurement of axial cracks in the magnetic flux leakage NDT system. Proceedings of the 8th IEEE International Conference on Automation Science and Engineering, Seoul, Korea.","DOI":"10.1109\/CoASE.2012.6386507"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1784\/insi.2012.55.4.187","article-title":"Guided wave testing performance studies: comparison with ultrasonic and magnetic flux leakage pigs","volume":"55","author":"Wagner","year":"2013","journal-title":"Non-Destruct. Test. Cond. Monit."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Qi, J. (2007, January 5\u20138). Experimental study of interference factors and simulation on oil-gas pipeline magnetic flux leakage density signal. Proceedings of the 2007 IEEE International Conference on Mechatronics and Automation, Harbin, China.","DOI":"10.1109\/ICMA.2007.4304153"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"516","DOI":"10.1109\/TMAG.2008.915592","article-title":"Characterization of surface breaking cracks using one tangential component of magnetic leakage field","volume":"44","author":"Amineh","year":"2008","journal-title":"IEEE Trans. Magn."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1134\/S1061830906080018","article-title":"The magnetic method for in-tube nondestructive testing of gas and oil pipelines: The past and the present","volume":"42","author":"Loskutov","year":"2006","journal-title":"Rus. J. Non-Destruct. Test."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Chen, J., Feng, Q.S., Wang, F.X., Zhang, H.L., and Song, H.C. (2012, January 24\u201328). Research on burst tests of pipeline with spiral weld defects. Proceedings of the 9th International Pipeline Conference, Calgary, AL, Canada.","DOI":"10.1115\/IPC2012-90089"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1784\/insi.2014.56.1.31","article-title":"Research on internal and external defect identification of drill pipe based on weak magnetic inspection","volume":"56","author":"Ma","year":"2014","journal-title":"Insight Non-Destruct. Test. Cond. Monit."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1016\/j.ndteint.2010.09.009","article-title":"A fuzzy alignment approach to sizing surface cracks by the AC field measurement technique","volume":"44","author":"Hasanzadeh","year":"2011","journal-title":"NDT&E Int."},{"key":"ref_10","unstructured":"Ma, W., Zhang, X.M., and Liu, S.C. (2013). Analysis on difference between Chinese and Russian oil and gas pipeline operation standards. Oil Gas Storage Transp."},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Kim, H.M., and Park, G.S. (2014). A Study on the Estimation of the Shapes of Axially Oriented Cracks in CMFL Type NDT System. IEEE Trans. Magn., 50.","DOI":"10.1109\/TMAG.2013.2283343"},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Salama, M.M., Nestleroth, B.J., Maes, M.A., and Dash, C. (2013, January 9\u201314). Characterization of the Uncertainties in the Inspection Results of Ultrasonic Intelligent Pigs. Proceedings of the 32nd International Conference on Ocean, Offshore and Arctic Engineering, Nantes, France.","DOI":"10.1115\/OMAE2013-11168"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"384","DOI":"10.1016\/j.ndteint.2005.11.004","article-title":"Detection and measurement of surface cracks in ferromagnetic materials using eddy current testing","volume":"39","author":"Helifa","year":"2006","journal-title":"NDT&E Int."},{"key":"ref_14","unstructured":"David, M., and Phil, T. ILI of New Rehabilitation System uses Axial and Spiral Field MFL. Available online: http:\/\/www.pipelineandgasjournal.com\/ili-new-rehabilitation-system-uses-axial-and-spiral-field-mfl."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1784\/insi.2014.57.2.85","article-title":"Internal and external defect identification of pipelines using the PSO-SVM method","volume":"57","author":"Qing","year":"2015","journal-title":"Insight Non-Destruct. Test. Cond. Monit."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Wang, Y.D., Xu, Y.T., Wang, B., Ding, S.B., Xu, J.L., and Zheng, M.L. (2009, January 26\u201330). Research on metal atmospheric storage tank inspection method for standard in China. Proceedings of the ASME 2009 Pressure Vessels and Piping Division Conference, Prague, Czech Republic.","DOI":"10.1115\/PVP2009-77444"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Liang, C., Xing, L., Xun, B.L., and Zuo, Y.H. (2009). Signal extraction using ensemble empirical mode decomposition and sparsity in pipeline magnetic flux leakage nondestructive evaluation. Rev. Sci. Instrum., 80.","DOI":"10.1063\/1.3082021"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1016\/j.ndteint.2013.01.011","article-title":"Sizing limits of metal loss anomalies using tri-axial MFL measurements: A model study","volume":"55","author":"Kopp","year":"2013","journal-title":"NDT&E Int."},{"key":"ref_19","first-page":"44","article-title":"Inspection of welding defects with metal magnetic memory method","volume":"31","author":"Doubov","year":"2008","journal-title":"Welded Pipe Tube"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1784\/insi.2006.48.2.103","article-title":"Numerical simulations on electromagnetic NDT at high speed","volume":"48","author":"Li","year":"2006","journal-title":"Insight Non-Destruct. Test. Cond. Monit."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1016\/j.ndteint.2012.07.008","article-title":"Corrosion detection of internal pipeline using NDT optical inspection system","volume":"52","author":"Safizadeha","year":"2012","journal-title":"NDT&E Int."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1642","DOI":"10.1109\/TMAG.2007.915955","article-title":"3-D FEM Simulation of Velocity Effects on Magnetic Flux Leakage Testing Signals","volume":"44","author":"Du","year":"2008","journal-title":"IEEE Trans. Magn."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1016\/j.ndteint.2009.01.006","article-title":"A fast method for rectangular crack sizes reconstruction in magnetic flux leakage testing","volume":"42","author":"Yong","year":"2009","journal-title":"NDT&E Int."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"73","DOI":"10.4103\/0377-2063.53238","article-title":"Analysis of Magnetic Flux Leakage Signals of Instrumented Pipeline Inspection Gauge using Finite Element Method","volume":"55","author":"Keshwani","year":"2009","journal-title":"IETE J. Res."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"718","DOI":"10.1016\/j.ndteint.2011.07.014","article-title":"Analytical model of a pipe magnetization by two parallel linear currents","volume":"44","author":"Pechenkov","year":"2011","journal-title":"NDT&E Int."},{"key":"ref_26","first-page":"73","article-title":"Non-Destructive Evaluation of Corrosion on Insulated Pipe using Double Wall Radiographic Technique","volume":"3","author":"Boateng","year":"2013","journal-title":"Chem. Mater. Res."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ndteint.2010.01.007","article-title":"A new NDT method based on permanent magnetic field perturbation","volume":"44","author":"Sun","year":"2011","journal-title":"NDT&E Int."},{"key":"ref_28","unstructured":"Kim, H.M., Yoo, H.R., Rho, Y.W., and Park, G.S. (November, January 31). Detection method of cracks by using magnetic fields in underground pipeline. Proceedings of the 10th International Conference on Ubiquitous Robots and Ambient Intelligence, Jeju, Korea."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"1959","DOI":"10.1109\/TMAG.2008.2011895","article-title":"Dipole Modeling of Magnetic Flux Leakage","volume":"45","author":"Sushant","year":"2009","journal-title":"IEEE Trans. Magn."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"507","DOI":"10.1016\/j.ndteint.2010.05.006","article-title":"Empirical structure for characterizing metal loss defects from radial magnetic flux leakage signal","volume":"43","author":"Saha","year":"2010","journal-title":"NDT&E Int."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"551","DOI":"10.3233\/JAE-140022","article-title":"Equivalent MFL model of pipelines for 3-D defect reconstruction using simulated annealing inversion procedure","volume":"47","author":"Chen","year":"2015","journal-title":"Int. J. Appl. Electromagn. Mech."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1016\/j.ndteint.2006.08.002","article-title":"Experiment and simulation study of 3D magnetic field sensing for magnetic flux leakage defect characterization","volume":"40","author":"Li","year":"2007","journal-title":"NDT&E Int."},{"key":"ref_33","unstructured":"Xing, L., Liang, C., and Xiao, H.Z. (2009, January 25\u201327). FEA of Pipeline Magnetic Flux Leakage NDE. Proceedings of the 2009 IEEE International Conference on Applied Superconductivity and Electromagnetic Devices, Chengdu, China."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"790","DOI":"10.1016\/j.jmmm.2006.02.225","article-title":"FEM modelling techniques of magnetic flux leakage-type NDT for ferromagnetic plate inspections","volume":"304","author":"Hall","year":"2006","journal-title":"J. Magn. Magn. Mater."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"196","DOI":"10.1049\/iet-smt:20060069","article-title":"Improved FEM model for defect-shape construction from MFL signal by using genetic algorithm","volume":"1","author":"Hari","year":"2007","journal-title":"Sci. Meas. Technol."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"4747","DOI":"10.1109\/TMAG.2012.2207732","article-title":"Finite-Element Neural Network-Based Solving 3-D Differential Equations in MFL","volume":"48","author":"Chao","year":"2012","journal-title":"IEEE Trans. Magn."},{"key":"ref_37","doi-asserted-by":"crossref","unstructured":"Sun, Y.H., and Kang, Y.H. (2013). Magnetic mechanisms of magnetic flux leakage nondestructive testing. Appl. Phys. Lett., 138.","DOI":"10.1063\/1.4828556"},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"2058","DOI":"10.1109\/TMAG.2008.923228","article-title":"A space mapping methodology for defect characterization from magnetic flux leakage measurements","volume":"44","author":"Amineh","year":"2008","journal-title":"IEEE Trans. Magn."},{"key":"ref_39","first-page":"560","article-title":"Improvement of magnetic flux leakage equipment for oil pipe testing","volume":"2007","author":"Du","year":"2007","journal-title":"Nondestruct. Inspect."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1007\/s12206-008-1005-5","article-title":"Numerical simulation and experiments of magnetic flux leakage inspection in pipeline steel","volume":"23","author":"Xun","year":"2009","journal-title":"J. Mech. Sci. Technol."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"3168","DOI":"10.1109\/TMAG.2006.880091","article-title":"Adaptive wavelets for characterizing magnetic flux leakage signals from pipeline inspection","volume":"42","author":"Joshi","year":"2006","journal-title":"IEEE Trans. Magn."},{"key":"ref_42","unstructured":"Isabel, C.P., Jorge, H.A., and Gerd, D. (2014, January 20\u201323). Simulation for magnetic flux leakage signal interpretation: A FE-approach to support in-line magnetic pipeline pigging. Proceedings of the 2014 IEEE Far East Forum of Nondestructive Evaluation\/Testing, Chengdu, China."},{"key":"ref_43","doi-asserted-by":"crossref","unstructured":"Li, X., Chen, L., and Huang, Z.Y. (2008, January 21\u201324). Steel Pipeline Testing Using Magnetic Flux Leakage Method. Industrial Technology. Proceedings of the 2008 IEEE International Conference on Industrial Technology, Chengdu, China.","DOI":"10.1109\/ICIT.2008.4608339"},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"505","DOI":"10.1784\/insi.2012.54.9.505","article-title":"Study on the lift-off effect on MFL signals with magnetic circuit model and 3D FEM","volume":"54","author":"Xue","year":"2012","journal-title":"Insight Non-Destruct. Test. Cond. Monit."},{"key":"ref_45","first-page":"531","article-title":"Three-axis magnetic flux leakage in-line inspection simulation based on finite-element analysis","volume":"1","author":"Feng","year":"2013","journal-title":"Chin. Phys. B"},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"661","DOI":"10.1007\/s12206-011-1234-x","article-title":"Inspection method of cable-stayed bridge using magnetic flux leakage detection: principle, sensor design and signal processing","volume":"26","author":"Xu","year":"2012","journal-title":"J. Mech. Sci. Technol."},{"key":"ref_47","doi-asserted-by":"crossref","unstructured":"Zhen, N.W., Hua, G.Z., and Jin, H.L. (2014). A PCA and ELM Based Adaptive Method for Channel Equalization in MFL Inspection. Math. Probl. Eng., 22.","DOI":"10.1155\/2014\/124968"},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"357","DOI":"10.3233\/JAE-2007-892","article-title":"Use of higher order statistics for enhancing magnetic flux leakage pipeline inspection data","volume":"25","author":"Ameet","year":"2007","journal-title":"Int. J. Appl. Electromagn. Mech."},{"key":"ref_49","unstructured":"Wei, D.Q., and Hong, B.X. (2012, January 20\u201321). Design of High-speed Data Collecting System for Pipeline Magnetic Flux Leakage Inspection. Proceedings of the 5th International Conference on Machine Vision, Wuhan, China."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/j.sna.2011.05.031","article-title":"Double core giant magneto-impedance sensors for the inspection of magnetic flux leakage from metal surface cracks","volume":"170","author":"Tehranchi","year":"2011","journal-title":"Sens. Actuators A Phys."},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1080\/10589750802588010","article-title":"Feature extraction and integration for the quantification of PMFL data","volume":"25","author":"Wilson","year":"2010","journal-title":"Nondestruct. Test. Eval."},{"key":"ref_52","unstructured":"Espina-Hernandez, J.W., and Hallen, J.M. (October, January 27). Influence of Remanent Magnetization on Pitting Corrosion in Pipeline Steel. Proceedings of the 8th International Pipeline Conference, Calgary, AL, Canada."},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"669","DOI":"10.1016\/j.ndteint.2009.06.009","article-title":"Development of a magnetic sensor for detection and sizing of internal pipeline corrosion defects","volume":"42","author":"Gloriaa","year":"2009","journal-title":"NDT&E Int."},{"key":"ref_54","unstructured":"Li, J.Y., Feng, M.M., and Song, W.G. (2006, January 21\u201323). Lossless Compression of Pipeline Magnetic Flux Leakage Inspection Data Based on Region of Interest. Proceedings of the 6th World Congress on Intelligent Control and Automation, Dalian, China."},{"key":"ref_55","doi-asserted-by":"crossref","unstructured":"Nara, T., Fujieda, M., and Gotoh, Y. (2014). Non-destructive inspection of ferromagnetic pipes based on the discrete Fourier coefficients of magnetic flux leakage. J. Appl. Phys., 115.","DOI":"10.1063\/1.4863805"},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ndteint.2012.04.008","article-title":"Online data compression of MFL signals for pipeline inspection","volume":"50","author":"Kathirmani","year":"2012","journal-title":"NDT&E Int."},{"key":"ref_57","doi-asserted-by":"crossref","unstructured":"Ke, M.Y., Liao, P., and Song, X.C. (2010, January 18\u201320). Real-time Data Mining in Magnetic Flux Leakage Detecting in Boiler Pipeline. Proceedings of the International Conference on Digital Manufacturing & Automation, Changsha, China.","DOI":"10.1109\/ICDMA.2010.243"},{"key":"ref_58","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1016\/j.sna.2011.09.010","article-title":"The inspection of magnetic flux leakage from metal surface cracks by magneto-optical sensors","volume":"172","author":"Tehranchi","year":"2011","journal-title":"Sens. Actuators A Phys."},{"key":"ref_59","doi-asserted-by":"crossref","unstructured":"Song, X.C., Xue, L., and Xu, Z.W. (2011, January 7\u201311). The simulation and experimental analysis of the MFL for cracks inspection in pipelines under mechanics-magnetic coupling. Proceedings of the 7th International Symposium on Precision Engineering Measurements and Instrumentation, Lijiang, China.","DOI":"10.1117\/12.904784"},{"key":"ref_60","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1016\/j.ndteint.2014.02.001","article-title":"Velocity effect analysis of dynamic magnetization in high speed magnetic flux leakage inspection","volume":"64","author":"Wang","year":"2014","journal-title":"NDT&E Int."},{"key":"ref_61","unstructured":"Tindall, L.M., Race, J.M., and Dawson, J. (October, January 29). Investigating the relative severity of dents in pipelines based on magnetic flux leakage inspection data. Proceedings of the 7th International Pipeline Conference, Calgary, AL, Canada."},{"key":"ref_62","doi-asserted-by":"crossref","first-page":"2341","DOI":"10.1016\/j.measurement.2013.04.011","article-title":"A novel algorithm for acoustic above ground marking based on function fitting","volume":"46","author":"Li","year":"2013","journal-title":"Measurement"},{"key":"ref_63","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1016\/j.ndteint.2011.08.011","article-title":"An adaptive channel equalization algorithm for MFL signals","volume":"45","author":"Mukherjee","year":"2012","journal-title":"NDT&E Int."},{"key":"ref_64","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1016\/j.sigpro.2009.06.014","article-title":"Characterization of NDT signals: Reconstruction from wavelet transform maximum curvature presentation","volume":"90","author":"Mukhopadhyay","year":"2010","journal-title":"Signal Process."},{"key":"ref_65","doi-asserted-by":"crossref","unstructured":"Saranya, R., Jackson, D., Abudhahir, A., and Chermakani, N. (2014, January 13\u201314). Comparison of Segmentation Techniques for Detection of Defects in Non-Destructive Testing Images. Proceedings of the 2014 International conference on Electronics and Communication Systems, Coimbatore, India.","DOI":"10.1109\/ECS.2014.6892787"},{"key":"ref_66","unstructured":"Mojtaba, R.K., Farshad, S., Babak, N.A., and Majid, N.A. (2013, January 23\u201326). Defect Detection and Width Estimation in Natural Gas Pipelines using MFL Signals. Proceedings of the 9th Asian Control conference, Istanbul, Turkey."},{"key":"ref_67","doi-asserted-by":"crossref","first-page":"10474","DOI":"10.3390\/s111110474","article-title":"A mobile ferromagnetic shape detection sensor using a hall sensor array and magnetic imaging","volume":"11","author":"Misron","year":"2011","journal-title":"Sensors"},{"key":"ref_68","unstructured":"Abdellatif, B., Mohammed, S.H., and Khaled, A. (2011, January 19\u201322). Design of an oil pipe inner surface inspection system. Proceedings of the 2011 IEEE GCC Conference and Exhibition, Dubai, United Arab Emirates."},{"key":"ref_69","unstructured":"Mojtaba, R.K., Babak, N.A., Majid, N., Farshad, S., and Maisam, M.B. (2013, January 14\u201316). Detection of Natural Gas Pipeline Defects using Magnetic Flux Leakage Measurements. Proceedings of the 21st Iranian Conference on Electrical Engineering, Mashhad, Iran."},{"key":"ref_70","doi-asserted-by":"crossref","first-page":"16454","DOI":"10.3390\/s140916454","article-title":"Fast Estimation of Defect Profiles from the Magnetic Flux Leakage Signal Based on a Multi-Power Affine Projection Algorithm","volume":"14","author":"Han","year":"2014","journal-title":"Sensors"},{"key":"ref_71","unstructured":"Fang, Y., Li, Z., and Su, Y. (2009, January 25\u201326). Feature Extraction of Pipeline Crack Defect Signals with MMM Testing Based on Wavelet packet Frequency Bands Energy. Proceedings of the 2009 International Conference on Information Technology and Computer Science, Kiev, Ukraine."},{"key":"ref_72","doi-asserted-by":"crossref","first-page":"516","DOI":"10.1784\/insi.2007.49.9.516","article-title":"LS-SVMs-based reconstruction of 3-D defect profile from magnetic flux leakage signals","volume":"49","author":"Feng","year":"2007","journal-title":"Insight Non-Destruct. Test. Cond. Monit."},{"key":"ref_73","doi-asserted-by":"crossref","first-page":"3073","DOI":"10.1109\/TMAG.2009.2020160","article-title":"Machine Learning Techniques for the Analysis of Magnetic Flux Leakage Images in Pipeline Inspection","volume":"45","author":"Reilly","year":"2009","journal-title":"IEEE Trans. Magn."},{"key":"ref_74","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1016\/j.sna.2005.07.013","article-title":"Pulsed Magnetic Flux Leakage Techniques for Crack Detection and Characterization","volume":"125","author":"Sophian","year":"2006","journal-title":"Sens. Actuators A Phys."},{"key":"ref_75","first-page":"74","article-title":"Quantitative evaluation of corrosion in a thin small-bore piping system using bobbin-type magnetic camera","volume":"33","author":"Le","year":"2014","journal-title":"J. Nondestruct. Eval."},{"key":"ref_76","doi-asserted-by":"crossref","unstructured":"Chen, J.Z., Lin, L., and Shi, J.N. (2008, January 21\u201322). Magnetic Flux Leakage Detection Technology for Well Casing on Neural Network. Proceedings of the International Symposium on Intelligent Information Technology Application Workshops, Shanghai, China.","DOI":"10.1109\/IITA.Workshops.2008.67"},{"key":"ref_77","unstructured":"Yang, L., Liu, G., Zhang, G., and Gao, S. (2009, January 10\u201311). Oil-gas pipeline magnetic flux leakage testing defect reconstruction based on support vector machine. Proceedings of the Second International Conference on Intelligent Computation Technology and Automation, Changsha, China."},{"key":"ref_78","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1080\/09349840903381655","article-title":"Pattern Recognition Techniques Applied to the Detection and Classification of Welding Defects by Magnetic Testing","volume":"21","author":"Carvalho","year":"2010","journal-title":"Res. Nondestruct. Eval."},{"key":"ref_79","unstructured":"Ma, Z.L., and Liu, H.D. (2007, January 25\u201328). Pipeline defect detection and sizing based on MFL data using immune RBF neural networks. Proceedings of the 2007 IEEE Congress on Evolutionary Computation, Singapore."},{"key":"ref_80","first-page":"569","article-title":"The Management of Inner Inspection Data of Pipelines","volume":"8","author":"Yu","year":"2012","journal-title":"Oil Gas Storage Transp."},{"key":"ref_81","unstructured":"Zhang, Y.K. (2006). Development of the Above Ground Mark System for Pipelines Inspection Using a Magnetic Flux Leakage Detector. [Ph.D. Thesis, Tianjin University]."},{"key":"ref_82","doi-asserted-by":"crossref","first-page":"535","DOI":"10.1784\/insi.2014.56.10.535","article-title":"Three-dimensional defect reconstruction from magnetic flux leakage signals in pipeline inspection based on a dynamic taboo search procedure","volume":"56","author":"Chen","year":"2014","journal-title":"Insight Non-Destruct. Test. Cond. Monit."},{"key":"ref_83","doi-asserted-by":"crossref","first-page":"149","DOI":"10.3233\/JAE-2008-970","article-title":"Wavelet transform and neural network based 3D defect characterization using magnetic flux leakage","volume":"28","author":"Ameet","year":"2008","journal-title":"Int. J. Appl. Electromagn. Mech."},{"key":"ref_84","unstructured":"Sun, L.Y., Li, Y.B., Du, G., Wang, W.K., and Zhang, Y.K. (2010, January 26\u201328). Modification design of high-precision above ground marking system. Proceedings of the 2010 Chinese Control and Decision Conference, Xuzhou, China."},{"key":"ref_85","doi-asserted-by":"crossref","unstructured":"Goller, C., Simek, J., and Ludlow, J. (2012, January 24\u201328). Multiple data set Ili for mechanical damage assessment. Proceedings of the 9th International Pipeline Conference, Calgary, AL, Canada.","DOI":"10.1115\/IPC2012-90244"},{"key":"ref_86","doi-asserted-by":"crossref","unstructured":"Zakaria, Z., Badri-Mansor, M.S., Jahidin, A.H., Azlan, M.S.Z., and Rahim, R.A. (2010, January 3\u20135). Simulation of Magnetic Flux Leakage (MFL) Analysis Using FEMM Software. Proceedings of the 2010 IEEE Symposium on Industrial Electronics and Applications, Penang, Malaysia.","DOI":"10.1109\/ISIEA.2010.5679417"},{"key":"ref_87","doi-asserted-by":"crossref","first-page":"138","DOI":"10.1784\/insi.2012.54.3.138","article-title":"Reconstruction of 3D defect profiles from the MFLT signals by using a radial wavelet basis function neural network iterative model","volume":"54","author":"Chao","year":"2012","journal-title":"Insight Non-Destruct. Test. Cond. Monit."},{"key":"ref_88","doi-asserted-by":"crossref","first-page":"471","DOI":"10.1016\/j.ndteint.2004.12.002","article-title":"Mechanical Damage Detection Using Magnetic Flux Leakage Tools: Modelling the Effect of Dent Geometry and Stresses","volume":"38","author":"Babbar","year":"2005","journal-title":"NDT&E Int."},{"key":"ref_89","doi-asserted-by":"crossref","unstructured":"Jandu, C., Taylor, M., and Narikotte, S.J. (2011, January 19\u201324). API 579 level 3 assessment of dents using high-resolution ILI data. Proceedings of the 30th International Conference on Ocean, Offshore and Arctic Engineering, Rotterdam, The Netherlands.","DOI":"10.1115\/OMAE2011-50349"},{"key":"ref_90","first-page":"117","article-title":"Optimizing magnetic flux leakage inspection sizing model performance using high-resolution non-destructive examination data","volume":"11","author":"Miller","year":"2012","journal-title":"J. Pipeline Eng."},{"key":"ref_91","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1016\/j.anucene.2015.04.006","article-title":"Development of magnetic flux leakage technique for examination of steam generator tubes of prototype fast breeder reactor","volume":"83","author":"Purnachandra","year":"2015","journal-title":"Ann. Nucl. Energy"},{"key":"ref_92","unstructured":"Feng, Q.S., Sutherland, J., Gu, B., Wei, Y., and Tao, C. (October, January 27). Evolution of triax magnetic flux leakage inspection for mitigation of spiral weld anomalies. Proceedings of the 8th International Pipeline Conference, Calgary, AL, Canada."},{"key":"ref_93","first-page":"72","article-title":"MFL Inspection of European Line Fuel Pipeline","volume":"239","author":"Williamson","year":"2012","journal-title":"Pipeline Gas J."},{"key":"ref_94","unstructured":"Thomas, D.M. (2010). A Magnetic Flux Leakage NDE System for Candor Feeder Pipes. [Ph.D. Thesis, Queen\u2019s University]."},{"key":"ref_95","first-page":"86","article-title":"Record Inspection of the World\u2019s Longest Subsea Gas Pipeline","volume":"237","author":"Brockhaus","year":"2010","journal-title":"Pipeline Gas J."},{"key":"ref_96","unstructured":"Jiang, Q. (2015). Study of Underground Oil-Gas Pipeline Corrosion Pits Estimation Based on MFL Inspection Method. J. Test. Eval."},{"key":"ref_97","doi-asserted-by":"crossref","first-page":"1966","DOI":"10.1109\/TMAG.2008.2011896","article-title":"Simulation and Analysis of Magnetic Flux Leakage","volume":"45","author":"Dutta","year":"2007","journal-title":"IEEE Trans. Magn."},{"key":"ref_98","unstructured":"Martin, K., and Thomas, B. (2006, January 25\u201329). Pipeline inspection with the high resolution emitili-tool: Report on full-scale testing and field trials. Proceedings of the 6th International Pipeline Conference, Calgary, AL, Canada."},{"key":"ref_99","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1007\/s11370-014-0158-6","article-title":"Signal processing and defect analysis of pipeline inspection applying magnetic flux leakage methods","volume":"4","author":"Mao","year":"2014","journal-title":"Intel. Serv. Robot."},{"key":"ref_100","unstructured":"Sushant, M.D., and Fathi, H.G. (2007, January 11\u201315). Magnetic flux leakage sensing: current practices and mathematical analysis. Proceedings of the 2007 ASME International Mechanical Engineering Congress and Exposition, Seattle, WA, USA."},{"key":"ref_101","doi-asserted-by":"crossref","unstructured":"Mazumdar, A., and Asada, H.H. (2010). An under actuated, magnetic-foot robot for steel bridge inspection. Mech. Robot., 2.","DOI":"10.1115\/1.4001778"},{"key":"ref_102","doi-asserted-by":"crossref","unstructured":"Geuzaine, C., and Remacle, J.-F. (2009). Gmsh: A three-dimensional finite element mesh generator with built-inpre-and post-processing facilities. Eng. Comput. Technol.","DOI":"10.1002\/nme.2579"},{"key":"ref_103","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/j.ndteint.2014.06.006","article-title":"A feed-through ACFM probe with sensor array for pipe string cracks inspection","volume":"67","author":"Wei","year":"2014","journal-title":"NDT&E Int."},{"key":"ref_104","unstructured":"Herbert, W., Beate, J., Thorsten, S., Alfred, B., and Frank, N. (October, January 27). A new ILI tool for metal loss inspection of gas pipelines using a combination of ultrasound, eddy current and MFL. Proceedings of the 8th International Pipeline Conference, Calgary, AL, Canada."},{"key":"ref_105","first-page":"34","article-title":"Can Technology Chart a Safer Future for Pipelines?","volume":"238","author":"Richard","year":"2011","journal-title":"Pipelines Gas J."},{"key":"ref_106","unstructured":"Mamdouh, M.S., Bruce, J.N., Marc, A.M., Carlos, R., and Dave, B. (2012, January 1\u20136). Characterization of the accuracy of the MFL pipeline inspection tools. Proceedings of the 31st International Conference on Ocean, Offshore and Arctic Engineering, Rio de Janeiro, Brazil."},{"key":"ref_107","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.sna.2005.11.066","article-title":"Finite element modeling of a circumferential magnetizer","volume":"129","author":"Ireland","year":"2006","journal-title":"Sens. Actuators A Phys."},{"key":"ref_108","doi-asserted-by":"crossref","first-page":"1817","DOI":"10.1016\/j.eswa.2007.08.088","article-title":"Particle swarm optimization for parameter determination and feature selection of support vector machines","volume":"35","author":"Lin","year":"2008","journal-title":"Expert Syst. Appl."},{"key":"ref_109","doi-asserted-by":"crossref","first-page":"11352","DOI":"10.1016\/j.eswa.2009.03.022","article-title":"Fault diagnosis of power transformer based on support vector machine with genetic algorithm","volume":"36","author":"Sheng","year":"2009","journal-title":"Expert Syst. Appl."},{"key":"ref_110","unstructured":"Lynch, A.J. (2009). Magnetic Flux Leakage Robotic Pipe Inspection: Internal and External Methods. [M.Sc Thesis, Rice University]."},{"key":"ref_111","first-page":"75","article-title":"New 48-inch Gas Magnetic Flux Leakage Inspection Tool","volume":"237","author":"Williamson","year":"2010","journal-title":"Pipeline Gas J."},{"key":"ref_112","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1016\/j.ndteint.2013.11.002","article-title":"Research on the stress-magnetism effect of ferromagnetic materials based on three-dimensional magnetic flux leakage testing","volume":"62","author":"Li","year":"2014","journal-title":"NDT&E Int."},{"key":"ref_113","first-page":"72","article-title":"Introduces Spiral Magnetic Flux Leakage Inspection Tool","volume":"238","author":"Williamson","year":"2011","journal-title":"Pipeline Gas J."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/15\/12\/29845\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T20:53:48Z","timestamp":1760216028000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/15\/12\/29845"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,12,10]]},"references-count":113,"journal-issue":{"issue":"12","published-online":{"date-parts":[[2015,12]]}},"alternative-id":["s151229845"],"URL":"https:\/\/doi.org\/10.3390\/s151229845","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,12,10]]}}}