A numerical model is proposed to describe in the frequency domain the radiation of a piezoelectric transducer in a fluid-filled borehole surrounded by a formation of infinite extent. Finite elements are used to model the transducer, the borehole fluid, and the fluid-formation interface. The unbounded character of the domain is accounted for by using a wave number decomposition on the borehole surface and dampers on the top and bottom surfaces of the borehole mesh. The method is validated by studying three configurations with analytical solutions: (i) normal stress acting on an empty borehole; (ii) normal stress acting on a fluid-filled borehole; and (iii) point source acting on the fluid-filled borehole axis. The radiation of a piezoelectric ring transducer in an oil-filled tube surrounded by water is also studied experimentally and numerically.
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