Abstract: Reducing migration distortions in migrated images of the Earth's subsurface. Recorded seismic data may be migrated, using a migration velocity model, to generate a migration image comprising ADCIGs with distortions. Synthetic seismic data may be generated, using the migration velocity model, for a grid of point scatterers. The synthetic seismic data may be migrated, using the migration velocity model, to generate impulse responses for the point scatterers. The impulse responses are used as point spread functions (PSFs) which approximate the blurring operator, e.g., the Hessian. An optimal reflectivity model may be selected using image-domain least-squares migration (LSM), based on the PSFs, with regularization of the difference between the migration image and a reflectivity model and a total variation (TV) regularization of the reflectivity model in the spatial and angular domains.

Abstract: A system and method for attenuating surface waves in common shot gathers of seismic data recorded by a set of geophones by: iteratively executing a genetic algorithm over a plurality of generations to generate an optimal one-dimensional (1D) Earth model based on the common shot gather data by, successively refining a pool of candidate Earth models to better fit the common shot gather data, until optimal Earth models in sequential generations converge; generating synthetic surface wave data based on the optimal Earth model and canceling the synthetic surface wave data from the common shot gather data to generate new common shot gather data that reduces the noise due to surface waves; and iteratively executing the genetic algorithm over each new common shot gather data until optimal Earth models generated in sequential iterations of the genetic algorithm converge.

Abstract: A system and method for reducing migration distortions in migrated images of the Earth's subsurface. Recorded seismic data may be migrated, using a migration velocity model, to generate a migration image comprising distortions. Synthetic seismic data may be generated, using the migration velocity model, for a grid of scattered points. The synthetic seismic data may be migrated, using the migration velocity model, to generate impulse responses for the scattered points. The impulse responses are used as point spread functions (PSFs) which approximates the blurring operator, e.g., the Hessian operator. An optimal reflectivity model may be selected using image-domain least-squares migration (LSM), based on the PSFs, with a regularization of the difference between the migration image and a reflectivity model and a total variation (TV) regularization of the reflectivity model. An image of the optimal reflectivity model may be generated that has reduced migration distortions compared to the original migration image.

Abstract: A system and method for attenuating surface waves in common shot gathers of seismic data recorded by a set of geophones by: iteratively executing a genetic algorithm over a plurality of generations to generate an optimal one-dimensional (1D) Earth model based on the common shot gather data by, successively refining a pool of candidate Earth models to better fit the common shot gather data, until optimal Earth models in sequential generations converge; generating synthetic surface wave data based on the optimal Earth model and canceling the synthetic surface wave data from the common shot gather data to generate new common shot gather data that reduces the noise due to surface waves; and iteratively executing the genetic algorithm over each new common shot gather data until optimal Earth models generated in sequential iterations of the genetic algorithm converge.