Directivity and Reciprocity Analysis of Array Sonic Logging Transmission Network
The efficiency of beam steering in sonic logging is affected by the shape and size of the transducers involved in addition to the array geometry and the excitation delay of the array source or the shifting time of sonic signals received by the array receiver station. The transducers in a sonic logging tool are usually cylindrical shells. This paper explains how, through utilization of a corresponding sonic logging transmission network and the concept of directivity weight coefficient, the influence of the shape and size of the transducer on a beam-steered signal can be calculated and the reciprocity between array source and array receiver station demonstrated.
The paper also explains how, by adjusting the excitation delay and the shifting time, the received and stacked sonic signal amplitudes can be maximized and the processing precision of the sonic signal parameter can be improved for the same processing algorithm, such that the resolution and sensitivity of the logging tool can be increased. Experimental data is presented that qualitatively validates the optimal design method for the logging tool discussed.
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