As oil and gas exploration moves into deeper offshore areas, Shallow Water Flow (SWF) from overpressured, unconsolidated/uncemented sands becomes a high profile drilling hazard. Laboratory measurements show that SWF sands have high seismic compressional to shear velocity (Vp/Vs) ratios. Thus, elastic seismic inversion for Vp/Vs provides a quantitative identification of SWF sands, and predrill p...

We present statistical and interval techniques for evaluating the uncertainties associated with geophysical tomographic inversion problems, including estimation of data errors, model errors, and total solution uncertainties. These techniques are applied to the inversion of traveltime data collected in a cross well seismic experiment. The inversion method uses the conjugate gradient technique, i...

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...

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...

This paper is devoted to theoretical and numerical investigation of the local minimum issue in seismic full waveform inversion (FWI). provides a mathematical analysis optimal transportation (OT) type objective function's differentiability proves that gradient obtained adjoint-state method does not depend on particular choice Kantorovich potentials. A novel approach using softplus encoding prese...

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...