Systems and methods for attenuating multiples in seismic data are presented. In one aspect, predicted surface-related multiples are calculated for seismic data generated by receivers in a marine survey. Estimates of primaries and multiples may be calculated by applying adaptive subtraction to the predicted surface-related multiples. Residual multiples present in the estimated primaries may be identified using multiple diffraction reduction. The residual multiples and estimated multiples are used to generate final estimated multiples that are subtracted from the seismic data to generate primaries with attenuated multiples.

A method for characterizing a sand-pack or gravel-pack in a subsurface formation includes inducing a pressure change to induce tube waves in fluid in a well drilled through the subsurface formation. At a location proximate to a wellhead at least one of pressure and a time derivative of pressure in the well is measured for a selected length of time. At least one of a physical parameter and a change in the physical parameter with respect to time, of the sand-pack or gravel-pack, is determined using the measured pressure and/or the time derivative of pressure.

A method of seismic modeling using an elastic model, the elastic model including a grid having a grid spacing sized such that, when synthetic seismic data is generated using the elastic model, synthetic shear wave data exhibits numerical dispersion, the method including: generating generated synthetic seismic data using the elastic model, wherein the generated synthetic seismic data includes synthetic compression wave data and synthetic shear wave data, and modifying the generated synthetic seismic data to produce modified synthetic seismic data by attenuating at least some of the synthetic shear wave data in order to attenuate at least some of the numerically dispersive data.

A method is described for full waveform inversion using a b-spline projection that produces an earth model that can be used for seismic imaging. The method may be executed by a computer system.

A method is described for seismic inversion including receiving a processed seismic image and an enhanced seismic image representative of a subsurface volume of interest; forward modeling the processed seismic image and the enhanced seismic image to generate a first modeled dataset and a second modeled dataset; differencing the first modeled dataset and the second modeled dataset to create a residual dataset; filtering the first modeled dataset to generate an approximation of illumination; preconditioning the residual dataset with the approximation of illumination to generate an adjoint source; back projecting the adjoint source to determine a model update; and applying the model update to an earth model of the subsurface volume of interest.

A seismic exploration method includes performing a true amplitude PSDM based on an initial velocity model of a subsurface formation to obtain a reflectivity model, and then a Born modeling using the reflectivity model to generate synthetic data. An image-based reflection full waveform inversion is applied to a cost function of differences between seismic data acquired over the subsurface formation and the synthetic data to update the initial velocity model. The updated velocity model enables exploring the presence of and/or assisting in the extraction of natural resources from the subsurface formation.

A method for estimating the depth-domain seismic wavelets from depth-domain seismic data and synthesizing depth-domain seismic records. The method includes: obtaining depth coordinates and P-wave velocity v and density from well log, calculating a corresponding reflectivity series r; performing constant-velocity depth conversion for a seismic trace S and a reflectivity series r by using a velocity v.sub.c as a reference velocity to obtain the converted seismic trace S.sub.1 and the converted reflectivity series r.sub.1; and estimating a depth-domain seismic wavelet w based on the Gibbs sampling method; synthesizing depth-domain seismic record by using the P-wave v, the reflectivity series r and the estimated depth-domain seismic wavelet w.

A method and apparatus for generating attenuation-compensated images of subsurface region, including: computing an image of the region utilizing elastic wave propagation, based on field data and subsurface model; generating forward-modeled data utilizing forward viscoelastic wave propagation, based on the image; computing secondary image by migration; computing NMF based on the images; and applying the NMF to the image to generate the attenuation-compensated image. A method and apparatus includes: iteratively computing attenuation-compensated gradient of the region utilizing an elastic wave propagation operator in the back-propagation and a viscoelastic wave propagation operator in the forward modelling, based on field data and subsurface model; computing search direction based on the attenuation-compensated gradient, searching for an improved model, and checking the improved model for convergence.

Computing device, computer instructions and method for identifying seismic traces prone to cycle-skipping in a full waveform inversion method. The method includes receiving recorded seismic data recorded with seismic sensors over a subsurface of interest; selecting a model that describes the subsurface; calculating, based on the model and the recorded seismic data, estimated seismic data; and choosing a probabilistic measure that characterizes a relationship between the recorded seismic data and the estimated seismic data. The probabilistic measure includes at least one statistical function.

Inversion with exponentially encoded seismic data can include exponentially encoding acquired seismic data and associated synthetic seismic data, storing the exponentially encoded acquired seismic data and the exponentially encoded associated synthetic seismic data, determining a one-dimensional (1D) Wasserstein distance between the exponentially encoded acquired seismic data and the exponentially encoded associated synthetic seismic data, and generating an adjoint source based on the 1D Wasserstein distance. The example method also includes adapting a dynamic weight implementation of a sensitivity kernel to the adjoint source to build a gradient associated with the acquired seismic data and the associated synthetic seismic data, and iteratively inverting a waveform associated with the exponentially encoded acquired seismic data and the exponentially encoded associated synthetic seismic data based on the gradient. An image of a subsurface location can be generated based on results of the iterative inversions.