This paper concerns far-field radiation of compressional P and shear S waves into the surrounding medium from a fluid-filled borehole in an infinite medium and tube waves propagating along a borehole, using a low-frequency approximation. Two kinds of sources are considered: (1) a volume displacement point source acting on the axis of a borehole, and (2) a uniform radial stress source acting on the wall of a borehole.When the tube-wave velocity is close to the shear-wave velocity, the effect of the borehole fluid on the P-wave radiation pattern and on the S-wave radiation pattern is substantial.

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