Abstract
The Biot equations [J. Acoust. Soc. Am. 28, 168–178, 179–191 (1956)] for a saturated poroelastic medium, modified to include the mass and momentum sources, are solved for the fundamental monochromatic singularities. The oscillatory point source (sourcelet) and force (forcelet) and their higher‐order poles are directly applied to solve the problems of a rigid sphere embedded in an infinite medium in various modes of vibration. These closed‐form solutions include the torqued and pulsating sphere, as well as the sphere in rectilinear oscillation. The sourcelet, being radially symmetric, emits only dilatational waves and represents the total volume of solid and fluid supplied. The forcelet, in addition to the two compressional waves, induces a rotational wave and is applied to the solid and fluid constituents in proportion to the porosity.
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