Abstract. We present a variational framework for shape optimization and shape reconstruction problems in seismic domains based full waveform inversion. We discuss general shape functionals in this framework, along with applications to shape optimization using the Helmholtz equation and image domain segmentation. We study the shape derivative in each case to express the variation of energy with ...

In this paper, we address the problem of sparse multichannel seismic deconvolution. We introduce Multichannel Sparse Spike Inversion (MSSI) as an iterative procedure, which deconvolves the seismic data and recovers the earth twodimensional (2D) reflectivity image, while taking into consideration the relations between spatially-neighboring traces. We demonstrate the improved performance of the p...

Over the decades there have been important advances in high resolution reservoir characterization, including advances in seismic data acquisition, instrumentation, processing, inversion, and integration of different data. The need for high resolution characterization has been driven by the need to capture realistically and with increasing accuracy the complexity of the subsurface. Seismic imagi...

SUMMARY Wavelet estimation plays an important role in many seismic processes like impedance inversion, amplitude versus offset (AVO) and full waveform inversion (FWI). Statistical methods of wavelet estimation away from well control are a desirable tool to support seismic signal processing. One of these methods based on Homomorphic analysis has long intrigued as a potentially elegant solution t...

We investigate the effects of noise on controlled-source interferometry by multi-dimensional deconvolution (MDD) for diffusive electromagnetic (EM) fields and for seismic wavefields. An electromagnetic and a seismic dataset are modeled and decomposed into upand downwards decaying and upand downgoing fields, respectively. From the decomposed fields a reflection response can be retrieved using le...

Wavelet estimation plays an important role in many seismic processes like impedance inversion, amplitude versus offset (AVO) and full waveform inversion (FWI). Statistical methods of wavelet estimation away from well control are a desirable tool to support seismic signal processing. One of these methods based on Homomorphic analysis has long intrigued as a potentially elegant solution to the wa...

Continuity along reflectors in seismic images is used via Curvelet representation to stabilize the convolution operator inversion. The Curvelet transform is a new multiscale transform that provides sparse representations for images that comprise smooth objects separated by piece-wise smooth discontinuities (e.g. seismic images). Our iterative Curvelet-regularized deconvolution algorithm combine...

This is the first paper in a two-part series that describes a massively parallel code that performs 2D frequency-domain full-waveform inversion of wide-aperture seismic data for imaging complex structures. Full waveform inversion methods, namely quantitative seismic imaging methods based on the resolution of the full wave equation, are computationally expensive. Therefore, designing efficient a...

Waveform inversion to determine the seismic moment tensor is a standard approach in determining the source mechanism of natural and man-made seismicity. The moment tensor is a general representation that includes the double-couple (DC) and non-double-couple sources such as explosions, opening and closing cracks, and volume compensated linear vector dipoles (CLVD). Previous studies (Ford et al.,...

A method is demonstrated for recording and inverting in-line and broadside seismic refraction and reflection data to obtain three-dimensional structure and velocity information. This technique of spatial seismic refraction recording produces a superabundance of common ray intersections at the target horizon. The full power of the linear least-squares inversion method may be used in the overcons...