The research is focused on examining the capabilities of an unconventional electromagnetic source, namely a toroidal coil, with regard to logging vertical and deviated oil wells. With the application of the developed and software-implemented high-performance algorithms, we carried out a large-scale multidimensional finite-difference numerical simulation of the signals of two-coil sounding systems with a toroidal source and receiver in geoelectric models with various degrees of complexity, including thinly laminated macroanisotropic sandstone-shale reservoirs. It was concluded that the measurements of the various electromagnetic field components are independent and complement each other informationally. The numerical simulation enabled selecting the optimal parameters of the sounding systems with toroids – the ranges of the probe lengths and frequencies, which provide a sufficient level of the measured signals, high sensitivity to the reservoir boundaries and deviation angle, and an unambiguous relationship with the resistivity anisotropy coefficient. Moreover, the developed algorithms are a basis for creating fast inversion procedures that enable real-time processing of the electromagnetic responses from a toroidal source in oil wells with different trajectories.