Abstract:Time or frequency domain methods are usually adopted to analyze array acoustic logging signals.However,these methods cannot combine the time and frequency domain at the same time.The time-frequency analysis can solve this problem,but it is difficult to distinguish different component waves.In this paper,the Born-Jordan distribution of array acoustic logging signals is filtered by the fractional Fourier transform.The following characteristics are found based on our analysis:A.In fractured formations,Stoneley wave amplitude attenuates significantly,so that there are at least two peaks in the time-frequency distribution; B.P-wave arrivals are delayed,the dominant frequency reduces,and P-wave amplitude attenuates; C.S-wave amplitude attenuates obviously,but the arrival time and the dominant frequency have little change; D.Pseudo Rayleigh wave arrival time and the dominant frequency have no obvious change,and pseudo Rayleigh wave before Stoneley wave has some irregular attenuation,while pseudo Rayleigh wave after the Stoneley wave has little attenuation.
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