“The triplication named by the bowtie shape in the traveltime curve with three distinct branches. The existence of the triplications can cause a serious problem in seismic data processing and analysis. The SV-wave triplications defined in transversely isotropic (TI) media have been widely discussed. However, the triplications in orthorhombic (ORT) medium are seldom investigated due to the much more complicated behavior with the existence of point singularities.

In this abstract, we propose an elliptic function of the principal curvatures for the slowness surface in ORT model. Three possible cases are analyzed for the existence of the triplications for a given point. Tested in the numerical examples, the triplications for all wave modes (pure and converted waves) are examined by the sign of the second order slowness derivatives evaluated from the defined function. Moreover, the anomalous behaviors of the traveltime surface in ORT model on account of the triplications are illustrated.”


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