Methods and systems of measuring acoustic signals via a borehole wall are disclosed. One or more non-contact magneto-dynamic sensors are configured or designed for deployment at at least one depth in a borehole. The magneto-dynamic sensor comprises a coil excited by an electric current and a circuitry for outputting a signal corresponding to a time-varying impedance of the coil. A processor is configured to perform signal processing for deriving at least one of a magnitude or a frequency of vibration of the borehole wall based on the output signal from the circuitry.