White (1983), among others, has shown that the propagation and attenuation of Stoneley waves in a fluid-filled borehole contain information on the porosity and permeability of the surrounding formation. Prior to extracting permeability from attenuation, the correct viscous loss of Stoneley waves in a borehole in a nonporous medium must be completely understood. With this motivation in mind, the purpose of this paper is to derive the viscous loss due to drag at the wall of a borehole from the exactly solvable case of a perfectly cylindrical borehole in an elastic, nonporous formation filled with a fluid that is viscous in shear. Thus the fluid pressure and fluid motion in the small but critical region near the fluid-solid interface can be calculated. We have obtained dispersion and attenuation of trapped waves and tube waves, but here we report only on tube waves.

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