Abstract
The analysis of electromagnetic fields caused by alternate or transient electric currents flowing along a cable in sea water has several applications. It supports the interpretation of electromagnetic geophysical data and safety procedures against the threat of sea mines. The approach to the problem employs a magnetic vector potential in the frequency domain due to a pulse source electric dipole, and performs Laplace and Hankel transforms and integration along the cable, to describe the variation of the magnetic induction field due to an electric dipole of finite length. The result is applicable to shallow or deep sea water environments, adaptable to any transmitting current waveform and useful for wave-field separation. The prospects relate to a horizontal receiving coil at the sea bottom and simulate: a minesweeper campaign with a current source at the sea surface or a geophysical survey with a current source close to the sea floor. Therefore, the present analysis may serve: to define parameters in counter-sweeping of submarine mines; to map the conductivity of sediments under shallow waters for the prevention and control of contamination; and as a first approach in the characterization of offshore mineral and oil economic deposits.
Highlights
Magnetic tail is a nautical designation for a line of electric dipoles
It consists of a steady state or a transient electric current flowing along a cable of finite length
The goals of this paper are: (1) to provide a general solution of the problem, which is valid for any current waveform; and (2) to represent the main part of the wave field as a series of real terms identified with successive reflections at the top and the bottom of a sea water layer confined between the air and a homogeneous substratum
Summary
Magnetic tail is a nautical designation for a line of electric dipoles. It consists of a steady state or a transient electric current flowing along a cable of finite length. The description of the magnetic field vector in the time domain caused by the tail inside the same region is useful for several applications in physics and in electrical and mechanical engineering to calibrate laboratory simulations and field experiments. It is employed to protect ships from the threat of sea mines, for the safety of maritime transportation (Pinheiro and Sampaio 1993, Rayner 2007).
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