Multicomponent seismic data analysis in the tau-p domain
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I develop a number of new methods for performing slant stacking and its variants suitable to the processing of ocean bottom seismograph (OBS) data.
I develop two versions of the discrete Radon transform (DRT) pair, a generalization of slant stacking, which can handle data unevenly spaced in both offset (x) and ray parameter (p). The discrete Radon transform matrix consists of two parts: a scaling matrix and a phase shift matrix. The elements in the phase shift matrix determine the amounts of the shift of given frequencies for stacking.
I develop an iterative approach to perform velocity stacking, a parabolic variant of slant stacking, in the time domain. Invertibility of the transform is secured by iteration over the residual energy. A better focused version of the velocity profile is achieved.
I extend conventional slant stacking of single component data to multicomponent data by performing a "vector" slant stack. The vector slant stack is performed by first transforming each component of the data, then combining the components in the
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Jiang, Zerong. "Multicomponent seismic data analysis in the tau-p domain." (1997) Master’s Thesis, Rice University. https://hdl.handle.net/1911/17098.