**Physical Characteristics of and Transient Response from Thin Cylindrical Piezoelectric Transducers Used in a Petroleum Logging Tool**

**Lin Fa 1,\*, Nan Tu 1, Hao Qu 2, Yingrui Wu 1, Ke Sun 1, Yandong Zhang 1, Meng Liang 1, Xiangrong Fang 1 and Meishan Zhao 3**


Received: 15 October 2019; Accepted: 19 November 2019; Published: 22 November 2019

**Abstract:** We report on a transient response model of thin cylindrical piezoelectric transducers used in the petroleum logging tools, parallel to a recently established transient response model of thin spherical-shell transducers. Established on a series of parallel-connected equivalent-circuits, this model provides insightful information on the physical characteristics of the thin cylindrical piezoelectric transducers, i.e., the transient response, center-frequency, and directivity of the transducer. We have developed a measurement system corresponding to the new model to provide a state-of-the-art comparison between theory and experiment. We found that the measured results were in good agreemen<sup>t</sup> with those of theoretical calculations.

**Keywords:** petroleum acoustical-logging; piezoelectric cylindrical-shell transducer; center-frequency; experimental-measurement
