Mathematical simulation in sounding of near well space by the tools with super short electromagnetic pulses

The electromagnetic tools with super short pulse excitation of transmitter – receiver devices (SSP sounds) are oriented for complex well navigation and open well logging. A special transmitter radiates a short pulse of a given form of $1\div3$ ns duration and $0.1\div1$ MWt power output into the near well space. The 1-st part of the work contains the mathematical investigation of pulse excitation of the transmitter to be a coated cylinder in lossy media. The Laplas transformation technique and the Sommerfield integrals are used in the 2-nd part of the work to obtain the electromagnetic responses at the receivers. The analysis of the response structure allows to determine the electrodynamical parameters of the near well space. This is similar to radar technique. The investigation depth is about $1\div3$ m in radial direction for the wells with the borehold mud conductivity $0.1\div10$ S/m.