Dmitriev, V. I.; Barashkov, I. S. 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. Cited in 1 Document 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 Keywords:electromagnetic sounding; electric dipole; three-dimensional nonhomogeneity; integral equation PDFBibTeX XMLCite \textit{V. I. Dmitriev} and \textit{I. S. Barashkov}, Comput. Math. Model. 23, No. 3, 239--253 (2012; Zbl 1260.78010); translation from Prikl. Mat. Inf. 38, 5--17 (2011) Full Text: DOI 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.