Abstract: A computer-implemented method of accounting for angle-dependent wavelet stretch in seismic data based on a novel relationship between wavelet stretch and the cosine of a reflection angle of an acoustic ray. Conventional seismic data having at least one wavelet, such as data generated from a reflection seismic survey, is accessed. The data is processed such that at least one wavelet is subject to angle-dependent wavelet stretch. A reflection angle for at least one wavelet is also determined. An operator is utilized to calculate a wavelet stretch factor for at least one wavelet based on the cosine of the corresponding reflection angle of the wavelet. The wavelet stretch factor is applied to the seismic data to account for angle-dependent wavelet stretch.

Abstract: A method of designing and applying filters for geophysical time series data comprising obtaining a plurality of spatially related geophysical time series and transforming the time series using a wavelet transformation. The wavelet transformation coefficients may be organized into a plurality of subband traces. The method includes modifying one or more transform coefficients within a plurality of the subband traces or within all but one of the subbands of traces and then inverting the subband traces using an inverse transform to produce a filtered version of the transformed portion of the geophysical time series. The method allows for design and analysis of non-stationary filters and filter parameters in untransformed data space. Non-stationary signals may be filtered in all or in windowed portions of the geophysical time series data.

Abstract: A method of designing and applying filters for geophysical time series data comprising obtaining a plurality of spatially related geophysical time series and transforming the time series using a wavelet transformation. The wavelet transformation coefficients may be organized into a plurality of subband traces. The method includes modifying one or more transform coefficients within a plurality of the subband traces or within all but one of the subbands of traces and then inverting the subband traces using an inverse transform to produce a filtered version of the transformed portion of the geophysical time series. The method allows for design and analysis of non-stationary filters and filter parameters in untransformed data space. Non-stationary signals may be filtered in all or in windowed portions of the geophysical time series data.