Abstract
An integral transformation-type method is presented for the analysis of the space-time domain acoustic wavefield that is reflected by a halfspace consisting of a continuously layered, lossy, isotropic (equivalent) fluid. The application of a vertically varying compliance memory function makes it possible to model a large class of depth-dependent loss properties. The method combines higher-order WKBJ-like asymptotics with the Cagniard-De Hoop method of inverse transformation. The coefficients that occur in the WKBJ asymptotics follow a recurrence scheme that is easy to evaluate by means of a symbolic manipulation program. The form of the transform domain expressions leads to a very fast inversion process. Numerical results are presented that show the reflections from continuously layered lossless and lossy halfspaces.
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