A method for revealing anomalous discontinuity interfaces in pore pressures in non-drilled geological formations and an implementing system. The method includes generating, by an electroacoustic transducer, first pressure sound waves and receiving a reflected signal of such first pressure sound waves generated by at least one discontinuity interface due to passage from first to second different geological formations situated successively along an emission direction of the electroacoustic transducer; calculating speed of the first pressure sound waves generated and distance between the electroacoustic transducer and the at least one discontinuity interface; generating, by the electroacoustic transducer, second pressure sound waves and revealing the electrical impedance induced at terminals of the electroacoustic transducer; estimating, based on the electrical impedance revealed, plural parameters characteristic of the first and second geological formation; estimating pressure of the second geological formation based on the sound speed and distance calculated and the plural characteristic parameters estimated.