Seismic methods play an important role in the development of tight fractured reservoirs with substantial spatial variability of fracture density. Here, we apply a comprehensive processing sequence designed for layered azimuthally anisotropic media to wide-azimuth P-wave data acquired over a fractured gas sand formation in the Rulison field, Colorado. The main processing steps include nonhyperbo...

We suggest and discuss two techniques that could radically improve the efficiency of large-scale nonlinear frequency upconversion: quasi-phase matching of high-order harmonic generation in density-modulated media and high-order difference-frequency mixing in plasma. We demonstrate theoretically that both techniques permit optimal phase matching with tight focusing of pump beams, which is detrim...

We study spatial optical solitons in a one-dimensional nonlinear photonic crystal created by an array of thin-film nonlinear waveguides, the so-called Dirac-comb nonlinear lattice. We analyze modulational instability of the extended Bloch-wave modes and also investigate the existence and stability of bright, dark, and "twisted" spatially localized modes in such periodic structures. Additionally...

In This paper, we give a necessary condition for function in $L^2$ with its dual to generate a dual shearlet tight frame with respect to admissibility.

klinkenberg permeability is an important parameter in tight gas reservoirs. there are conventional methods for determining it, but these methods depend on core permeability. cores are few in number, but well logs are usually accessible for all wells and provide continuous information. in this regard, regression methods have been used to achieve reliable relations between log readings and klinke...