Abstract
A single source firing below the surface of the ocean, because of the surface reflection, has directionality. Directionality is defined as variation of amplitude with angle. Conceptually the radiation field of such a source may be treated as due to a vertical dipole of finite length. A formulation for transforming data recorded with a dipole wavelet to that of a monopole or plane‐wave wavelet is derived in this study. We have found that the cylindrical τ-p transform allows the removal of the source waveform and amplitude variation in the data due to the dipole and observed on the offset‐time record. The spherical wave field of a vertical dipole can be expanded in a conical bundle of plane waves. Accordingly, the recorded seismic data are transformed into a conical bundle of plane waves by the cylindrical τ-p transform. In this form the directionality effects of the vertical dipole are removed from the data. The formulation derived here was implemented in discrete form. A model study was conducted using synthetic dipole data and the results show the transformation to a monopole.
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