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

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 agreement with those of theoretical calculations.

Network Modeling of Piezoelectric Transducers for Energy Conversion

“…Following the network in Figure 1, the electric to acoustic conversion is processed in part I and the acoustic to electric conversion is achieved in part III. The converted waves from the network model are comparable to experimental measurements by Fa, et al [23][24][25][26][27]. Figure 3 presents the sample results of waveform and amplitude spectra at the receiving electricterminals, comparing the measured signals to the network model.…”

“…Similar to the case of a thin-shell spherical transducer, the transient response [23,25] of cylindrical transducers for the excited driving-voltage signal can be described by the parallel-connected equivalent circuits network, as shown in Figure 1.…”

Numerical Simulation and Experimental Verification of Electric–Acoustic Conversion Property of Tangentially Polarized Thin Cylindrical Transducer

“…After invoking both Equation (55) and the definition of the resonant frequency of the radially polarized piezoelectric thin cylindrical transducer in Equation ( 19) of Ref. [23] and applying the parameters in Table 1, we calculated the relations of f 0 and f 1 versus ρ 0 for the tangentially and radially polarized piezoelectric thin cylindrical transducers, as shown in Figure 5a,b.…”

“…They applied the model to radially polarized thin spherical shell transducers excited with multifrequency signals, derived analytical expressions of the radiated acoustic signal, and performed numerical calculation and experimental verification [22]. They reported the transient response characteristics of the radially polarized thin cylindrical piezoelectric transducers commonly used in actual acoustic logging [23].…”

Goos-Hänchen Effect: An Intriguing Phenomenon from Optics to Acoustics

“…It is noted that when an optical wave is propagating from a denser medium to a thinner medium, the total reflection generates coherent interference; the final propagated wave yields a lateral displacement relative to the incidence position at the interface. This optical effect is critically important in practical applications of optical interfacial-transition, e.g., slow-light processes [5], interfaced-induced superconductivity [6][7][8][9][10][11][12], material nucleation [13], nanophotonics and optic-electromagnetic applications [14][15][16][17][18], as well as many practical applications involving media interfaces in acoustics [19][20][21][22][23][24][25][26][27][28].…”