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2021-11-26

Optimal Magnetic Wake Detection in Finite Depth Water

By Mohammad-Amir Fallah and Mehdi Monemi
Progress In Electromagnetics Research M, Vol. 106, 25-34, 2021
doi:10.2528/PIERM21091504

Abstract

Seawater is generally considered as an electrical conductor with rather weak electrical conductivity. As a moving electrical conductor in an electromagnetic field, seawater motions induce weak electromagnetic field in surrounding environment. The movement of vessels in seawater leads to the variations of electromagnetic field pattern, called as magnetic wake. In order to detect a moving object through the induced magnetic wake, a magnetometer can be placed under the seawater surface. In this paper, we present a mathematical model through which we can study the magnetic wake in water of finite depth and, explore its behavior with respect to environmental parameters and geometric characteristics of the moving object. More specifically, we show through mathematical expressions and numerical results that there always exists an optimal depth under the sea surface wherein if amagnetometer isplaced, maximum amplitude of magnetic wake can be captured. Several key properties are verified for the optimal magnetic wake detection through numerical results. Firstly, the optimal depth is increased by increasing the speed of the moving vessel. Secondly, the optimal depth is not influenced considerably by the variation of sea depth, and thirdly, in the case wherethe Froude number of the vessel is lower than 0.5, the optimal depth is below 15 m.

Citation


Mohammad-Amir Fallah and Mehdi Monemi, "Optimal Magnetic Wake Detection in Finite Depth Water," Progress In Electromagnetics Research M, Vol. 106, 25-34, 2021.
doi:10.2528/PIERM21091504
http://www.jpier.org/PIERM/pier.php?paper=21091504

References


    1. Mizutani, N. and T. Kobayashi, "Magnetic field vector detection in frequency domain with an optically pumped atomic magnetometer," IEEE Transactions on Magnetics, Vol. 48, No. 11, 4096-4099, Nov. 2012.
    doi:10.1109/TMAG.2012.2200657

    2. Han, F., S. Harada, and I. Sasada, "Fluxgate and search coil hybrid: A low-noise wide-band magnetometer," IEEE Transactions on Magnetics, Vol. 48, No. 11, 3700-3703, Nov. 2012.
    doi:10.1109/TMAG.2012.2196762

    3. Wang, Z., M. Deng, K. Chen, M. Wang, Q. Zhang, and D. Zeng, "Development and evaluation of an ultralow-noise sensor system for marine electric field measurements," Sensors and Actuators A: Physical, Vol. 213, 70-78, 2014, ISSN0924-4247, https://doi.org/10.1016/j.sna.2014.03.026.
    doi:10.1016/j.sna.2014.03.026

    4. Han, F., S. Harada, and I. Sasada, "Fluxgate and search coil hybrid: A low-noise wide-band magnetometer," IEEE Transactions on Magnetics, Vol. 48, 3700-3703, 2012.
    doi:10.1109/TMAG.2012.2196762

    5. Kawai, J., G. Uehara, T. Kohrin, H. Ogata, and H. Kado, "Three axis SQUID magnetometer for low-frequency geophysical applications," IEEE Transactions on Magnetics, Vol. 35, 3974-3976, 1999.
    doi:10.1109/20.800726

    6. Chen, Y. F., P. Wu, W. Zhu, and G. Fang, "An innovative magnetic anomaly detection algorithm based on signal modulation," IEEE Transactions on Magnetics, Vol. 56, No. 9, 1-9, Sept. 2020, Art no. 6200609, doi: 10.1109/TMAG.2020.3005896.

    7. Zhou, J., J. Chen, and Z. Shan, "Spatial signature analysis of submarine magnetic anomaly at low altitude," IEEE Transactions on Magnetics, Vol. 53, No. 12, 1-7, Dec. 2017, Art no. 6001107, doi: 10.1109/TMAG.2017.2735940.
    doi:10.1109/TMAG.2017.2735940

    8. Newman, J. N., Marine Hydrodynamics, MIT Press, Cambridge, Massachusetts, 1977.
    doi:10.7551/mitpress/4443.001.0001

    9. Gu, D. F. and O. M. Phillips, "On narrow V-like ship wakes," J. Fluid Mech., Vol. 275, 301-321, 1988.

    10. Kostyukov, A. A., Theory of Ship Waves and Waves Resistance, 241-243, Effective Communications Inc., Iowa City, 1968.

    11. Gilman, M., A. Soloviev, and H. Graber, "Study of the far wake of a large ship," J. Atmos. Oceanic Technol., Vol. 28, 720-733, 2011.
    doi:10.1175/2010JTECHO791.1

    12. Weaver, J. T., "Magnetic variations associated with ocean waves and swell," Journal of Geophysical Research, Vol. 70, 1921-1929, 1965.
    doi:10.1029/JZ070i008p01921

    13. Sanford, T. B., "Motionally induced electric and magnetic fields in the sea," Journal of Geophysical Research, Vol. 76, 3476-3492, 1971.
    doi:10.1029/JC076i015p03476

    14. Madurasinghe, D., "Induced electromagnetic fields associated with large ship wakes," Wave Motion, Vol. 20, 283-292, 1994.
    doi:10.1016/0165-2125(94)90053-1

    15. Madurasinghe, D. and E. O. Tuck, "The induced electromagnetic field associated with submerged moving bodies in an unstratified conducting fluid," IEEE Journal of Ocean Engineering, Vol. 19, 193-199, 1994.
    doi:10.1109/48.286641

    16. Madurasinghe, D. and G. R. Haack, "The induced electromagnetic field associated with wakes-signal processing aspects," Proceedings of IGRASS, Vol. 94, 2335-2357, Pasadena, CA, 1994.

    17. Zou, N. and A. Nehorai, "Detection of ship wakes using an airborne magnetic transducer," IEEE Transactions on Geoscience and Remote Sensing, Vol. 38, No. 1, 532-539, Jan. 2000, doi: 10.1109/36.823948.
    doi:10.1109/36.823948

    18. Fallah, M. A. and H. Abiri, "Electromagnetic fields induced by the motion of Di-Hull bodies in a conducting fluid," IEEE Transactions on Magnetics, Vol. 49, No. 10, 5257-5263, Oct. 2013, doi: 10.1109/TMAG.2013.2260345.
    doi:10.1109/TMAG.2013.2260345

    19. Guo, X., D. Zhao, and Z. Cao, "Detection of the magnetic field induced by the wake of a moving submerged body using simple models," American Journal of Electromagnetics and Applications, Vol. 4, No. 2, 20-25, 2016, doi: 10.11648/j.ajea.20160402.12.

    20. Chaillout, J. J., J. Berthier, and R. Blanpain, "Modelling of electromagnetic wakes of moving submerged bodies in stratified sea water," IEEE Transactions on Magnetics, Vol. 32, No. 3, 998-1001, May 1996, doi: 10.1109/20.497408.
    doi:10.1109/20.497408

    21. Yaakobi, O., G. Zilman, and T. Miloh, "Detection of the electromagnetic field induced by the wake of a ship moving in a moderate sea state of finite depth," J. Engrg. Math., Vol. 70, 17-27, 2011.
    doi:10.1007/s10665-010-9410-z

    22. Amir Fallah, M. and H. Abiri, "Multi-sensor approach in vessel magnetic wake imaging," Wave Motion, Vol. 51, 60-76, 2014.
    doi:10.1016/j.wavemoti.2013.06.004

    23. Xu, Z., C. Du, and M. Xia, "Evaluation of electromagnetic fields induced by wake of an undersea-moving slender body," IEEE Access, Vol. 6, 2943-2951, 2018, doi: 10.1109/ACCESS.2017.2786246.
    doi:10.1109/ACCESS.2017.2786246

    24. Xu, Z. H., C. P. Du, and M. Y. Xia, "Electromagnetic fields due to the wake of a moving slender body in a finite-depth ocean with density stratification," Sci. Rep., Vol. 8, 14647, 2018, https://doi.org/10.1038/s41598-018-32789-1.
    doi:10.1038/s41598-018-32789-1

    25. Robert, P., Electrical and Magnetic Properties of Materials, Artech House, 1988.

    26. Schon, J. H., "Physical properties of rocks: Fundamentals and principles of petrophysics Calculated from field data at Otis MMR," Cape Cod, Massachusetts, 1996.

    27. Mavko, G., The Rock Physics Handbook: Tools for Seismic Analysis in Porous Media, Cambridge University Press, 1998.

    28. Carmichael, R. S., Practical Handbook of Physical Properties of Rocks and Minerals, CRC Press, 1989.