We introduce a novel technique for seismic wave extrapolation in time. The technique involves cascading a Fourier Transform operator and a finite difference operator to form a chain operator: Fourier Finite Differences (FFD). We derive the FFD operator from a pseudo-analytical solution of the acoustic wave equation. 2-D synthetic examples demonstrate that the FFD operator can have high accuracy...

The electroseismic method offers the possibility of imaging thin (much smaller than the seismic wavelength) layers in the subsurface. We have collected electroseismic data in the field using a standard seismograph outfitted with electrode pairs rather than geophones, and a sledge hammer and other seismic sources. Removal of coherent source-generated noise is an essential step in the processing ...

We introduce a novel finite-difference (FD) approach for seismic wave extrapolation in time. We derive the coefficients of the finite-difference operator from a lowrank approximation of the space-wavenumber, wave-propagator matrix. Applying the technique of lowrank finite-differences, we also improve the finite difference scheme of the two-way Fourier finite differences (FFD). We call the new o...

We demonstrate with synthetic seismic data the superresolution and super-stacking properties of time reversal mirrors (TRM). Tests on synthetic data show that TRM has the potential of exceeding the Rayleigh resolution limit by a factor of more than 9. This property is accompanied by the fact that TRM has a significant resilience to strong noise. Computer tests validate these properties by accur...

Understanding the partitioning of seismic and aseismic fault slip is central to seismotectonics as it ultimately determines the seismic potential of faults. Thanks to advances in tectonic geodesy, it is now possible to develop kinematic models of the spatiotemporal evolution of slip over the seismic cycle and to determine the budget of seismic and aseismic slip. Studies of subduction zones and ...

Seismic interferometry has become a technology of growing interest for imaging from borehole seismic data. We demonstrate that interferometry of internal multiples can be used to image targets above a borehole receiver array. We use an interferometry technique that targets the reconstruction of specific primary reflections from multiply reflected waves. In this target-oriented interferometry ap...

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...

The Ultra Weak Variational Formulation (UWVF) is a powerful numerical method for the approximation of acoustic, elastic and electromagnetic waves in the time-harmonic regime. The use of Trefftztype basis functions incorporates the known wave-like behaviour of the solution in the discrete space, allowing large reductions in the required number of degrees of freedom for a given accuracy, when com...

As a rule all oil fields in East Siberia are confined to local heterogeneous lithologic substitution. These areas usually possess higher level of fracturing and besides of reflected waves generate scattered ones with rather high amplitude. Both regularly reflected and diffracted/scattered waves should be used in order to get the proper seismic image of reservoirs structure: reflected waves fix ...