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Mathematical modeling of marine electromagnetic sounding of a three-dimensional nonhomogeneous medium. (English. Russian original) Zbl 1260.78010

Comput. Math. Model. 23, No. 3, 239-253 (2012); translation from Prikl. Mat. Inf. 38, 5-17 (2011).
Summary: The article considers a method for three-dimensional mathematical modeling of the effect of a three-dimensional nonhomogeneity on the electromagnetic field in marine sounding. The electromagnetic field source is a moving electric cable towed by a vessel over the surface of the sea. The field is measured at the seabed using popup sensors. The field component most responsive to the nonhomogeneity is identified. The problem is solved by the integral equation method.

MSC:

78A48 Composite media; random media in optics and electromagnetic theory
78A50 Antennas, waveguides in optics and electromagnetic theory
78A55 Technical applications of optics and electromagnetic theory
78M25 Numerical methods in optics (MSC2010)
86A25 Geo-electricity and geomagnetism
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References:

[1] V. I. Dmitriev, ”Mathematical modeling of the effect of the ionosphere on electromagnetic sounding,” Prikl. Matem. Informat., No. 31, MGU (2009). · Zbl 1227.78012
[2] A. N. Tikhonov, ”Asymptotic behavior of integrals containing Bessel functions,” Dokl. Akad. Nauk, 125(5), pp. 982–985. · Zbl 0088.27602
[3] V. I. Dmitriev and E. V. Zakharov, Integral Equation Method in Computational Electrodynamics [in Russian], MAKS Press, Moscow (2008).
[4] I. S. Barashkov and V. I. Dmitriev, ”Mathematical modeling of electromagnetic field of distant sources in a nonhomogeneous medium,” Prikl. Matem. Informat., No. 32, MGU (2009). · Zbl 1197.78012
[5] I. S. Barashkov and V. I. Dmitriev, ”Mathematical modeling of marine sounding by the field of a high-power distant source in the presence of a complex coastline,” Prikl. Matem. Informat., No. 34, pp. 41–60, MGU (2010). · Zbl 1266.78016
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