Resonant sweeping frequencies are estimated for specific rock types, saturated with various formation fluids at reservoir conditions. A sequence and duration of resonant frequency sweeps and high amplitude low frequency vibration/agitation at each station is designed based on petrophysical and geomechanical properties, and in-situ stress conditions. Resonant sweeping and agitation is conducted as a multiple resonant frequency (fixed or variable) tool passes at optimal speed, which will be determined for specific reservoir type and downhole conditions. Resonant stimulation tool type, or combination of tools, is selected based on borehole size, reservoir parameters and resonant frequency requirements to maximize the efficiency of stimulation. Broad range of operating frequencies will allow to tune to resonant frequencies of various formation types (sandstones, limestones, shales, dolomites, and heterogeneous reservoirs comprised of the mixture of above lithologies). Low frequency transducers increase fluid displacement, and improve ultimate formation fluid recovery.