Abstract: A method for removing noise from a three-dimensional representation of seismic data. The method includes receiving seismic data acquired in a seismic survey. The method may organize the acquired seismic data into a three-dimensional representation of the acquired seismic data. The method may then remove a noise from the three-dimensional representation of the acquired seismic data based on at least one criterion.

Abstract: A technique includes obtaining pressure data that was acquired by seismic sensors towed as part of a three-dimensional spread of streamers and obtaining particle motion data, which are indicative of particle motion at locations of the sensors. The technique includes estimating cross-line spectra of the pressure data based at least in part on the pressure data, and the technique includes deghosting the particle motion data based at least in part on the estimated cross-line spectra.

Abstract: A technique includes obtaining pressure data that was acquired by seismic sensors towed as part of a three-dimensional spread of streamers and obtaining particle motion data, which are indicative of particle motion at locations of the sensors. The technique includes estimating cross-line spectra of the pressure data based at least in part on the pressure data, and the technique includes deghosting the particle motion data based at least in part on the estimated cross-line spectra.

Abstract: A technique includes processing seismic data indicative of samples of at least one measured seismic signal in a processor-based machine to, in an iterative process, determine basis functions, which represent a constructed seismic signal. The technique includes in each iteration of the iterative process, selecting another basis function of the plurality of basis functions. The selecting includes based at least in part on the samples and a current version of the constructed seismic signal, determining a cost function; and interpreting the cost function based at least in part on a predicted energy distribution of the constructed seismic signal to select the basis function.

Abstract: A technique includes obtaining pressure data that was acquired by seismic sensors towed as part of a three-dimensional spread of streamers and obtaining particle motion data, which are indicative of particle motion at locations of the sensors. The technique includes estimating cross-line spectra of the pressure data based at least in part on the pressure data, and the technique includes deghosting the particle motion data based at least in part on the estimated cross-line spectra.

Abstract: A technique includes receiving seismic data indicative of measurements acquired by seismic sensors. The measurements are associated with a measurement noise. The technique includes estimating at least one characteristic of the measurement noise and deghosting the seismic data based at least in part on the estimated characteristic(s) of the measurement noise.

Abstract: A technique includes spatially filtering a signal that is derived from a seismic acquisition. The filtering is associated with a filter length, and the filtering includes varying the filter length with frequency. The filtering may be used in connection with adaptive noise attenuation, which is applied to decomposed subbands. Furthermore, the filtering may be applied during the reconstruction of the signal from the subbands.

Abstract: The present invention relates to a method of filtering seismic data for noise attenuation. An embodiment of the present invention provides a method of processing seismic data in which the seismic data is transformed into an f-x domain using a discrete Fourier transform and is then filtered at each discrete frequency using an infinite impulse response (HR) filter.

Abstract: A technique includes representing actual measurements of a seismic wavefield as combinations of an upgoing component of the seismic wavefield and ghost operators. Interpolated and deghosted components of the seismic wavefield are jointly determined based at least in part on the actual measurements and the representation.

Abstract: There is provided a method of spatially shifting seismic signals acquired through a seismic survey using the steps of identifying within the signals a set of N actual locations of seismic receivers and corresponding N seismic signals received by the set of seismic receivers; identifying a set of N? desired locations of seismic receivers; and determining a set of N? signal values at said N? desired locations by evaluating for each of said N? signal values a weighted sum of the N seismic signals, wherein the weights are at least partly determined by the relative distance between pairs of locations selected from said set of N actual locations of seismic receivers.

Abstract: A technique includes representing actual measurements of a seismic wavefield as combinations of an upgoing component of the seismic wavefield and ghost operators. Interpolated and deghosted components of the seismic wavefield are jointly determined based at least in part on the actual measurements and the representation.

Abstract: A technique includes receiving data, which are indicative of measurements acquired by seismic sensors of a seismic wavefield. The seismic wavefield is formed from a combination of an upgoing wavefield and a downgoing wavefield. The technique includes providing a statistical estimator, which relates the upgoing wavefield to a linear combination of the measurements and a reconstruction error. The technique includes determining the upgoing wavefield based on the statistical estimator. The determination includes substantially minimizing a variance of the reconstruction error.

Abstract: A technique includes receiving seismic data acquired in a seismic survey. The survey has an associated undersampled direction, and the seismic data contains samples, which are indicative of a pressure wavefield and a directional derivative of the pressure wavefield that contains information related to vertical variations. The technique includes relating the samples to the pressure wavefield or to the directional derivative of the pressure wavefield using at least one linear filter and based on the relationship, constructing a substantially unaliased continuous representation of the pressure wavefield or the directional derivative of the pressure wavefield along the undersampled direction.

Abstract: There is provided a method of interpolating wave signals, particularly seismic signals acquired through a seismic survey, using the steps of obtaining time series of measured wave signals; and selecting iteratively basis functions to represent said measured signals with a basis function being fully defined by n parameters, wherein in each iteration one or more basis functions are combined with the selected basis functions such that the residual between the measured signals and a representation of the measured signal by the combined basis functions is minimized at the locations of the measurement at each iteration.

Abstract: A technique includes receiving seismic data acquired in a seismic survey in the vicinity of a reflecting interface. The survey has an associated undersampled direction. The technique includes providing second data indicative of discrete samples of incident and reflected components of a continuous seismic wavefield along the undersampled direction and relating the discrete samples to a linear combination of the continuous incident and reflected seismic wavefields using at least one linear filter. Based on the relationship, an unaliased representation of the linear combination of the continuous incident and reflected seismic wavefields is constructed.

Abstract: A technique to reconstruct a seismic wavefield includes receiving datasets, where each dataset is indicative of samples of one of a plurality of measurements of a seismic wavefield that are associated with a seismic survey. The technique includes modeling the plurality of measurements of a seismic wavefield as being generated by the application of at least one linear filter to the seismic wavefield. The technique includes processing the datasets based on the linear filter(s) and a generalized matching pursuit technique to generate data indicative of a spatially continuous representation of the seismic wavefield.

Abstract: A technique for decomposing a recorded wave field represented in a set of multicomponent, marine seismic data centers around a computer-implemented method including: estimating the statistics of the noise terms in each one of a predetermined group of seismic measurements in a seismic data set acquired in a marine survey; modeling the physical propagation of a recorded wave field represented in the seismic data set from the estimated statistics; and estimating a directional component of the recorded wave field from the physical propagation model that minimizes error relative to the seismic measurements.

Abstract: A technique includes modeling interpolated seismic measurements as a random process characterized by seismic measurements acquired at a set of sensor locations and an interpolation error. The technique includes determining the interpolated seismic measurements based at least in part on a minimization of the interpolation error.

Abstract: A technique includes representing actual measurements of a seismic wavefield as combinations of an upgoing component of the seismic wavefield and ghost operators. Interpolated and deghosted components of the seismic wavefield are jointly determined based at least in part on the actual measurements and the representation.

Abstract: An iterative process is described for obtaining a finite impulse filter to remove noise from seismic data through an iterative process with constraints on the filter applied in both, the original space-time and the transform frequency wave number at each iteration step.