Compressive least-squares migration with on-the-fly Fourier transforms

Abstract

Least-squares reverse-time migration is a powerful approach for true amplitude seismic imaging of complex geological structures, but the successful application of this method is currently hindered by its enormous computational cost, as well as high memory requirements for computing the gradient of the objective function. We tackle these problems by introducing an algorithm for low-cost sparsity-promoting least-squares migration using onthe-fly Fourier transforms. We formulate the least-squares migration objective function in