Abstract
In acoustic well logging, a transient acoustic source is placed within a mud‐filled borehole for the purpose of exciting refracted compressional and shear waves in the surrounding formation. We model the downhole environment by an infinite fluid‐filled cylinder surrounded by an infinite solid formation. An isotropic point source is placed on the axis of the hole and an exact solution for the field in the hole is obtained in the frequency‐wavenumber domain. Space‐time waveforms are obtained by numerically transforming this solution. The waveforms consist of compressional and shear refracted waves plus modes, which are guided by the hole. In this paper we numerically compute these individual components of the field. The modes are obtained by locating poles and evaluating residues. The refractions are obtained via numerical branchcut integrations. A vertical branchcut is used which converges rapidly but only gives accurate results in the farfield.
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