Semi-analytical solutions for vibration analysis of nonlocal piezoelectric Kirchhoff plates resting on viscoelastic foundation with arbitrary boundary conditions are derived by developing Galerkin strip distributed transfer function method. Based on the nonlocal elasticity theory for piezoelectric materials and Hamilton's principle, the governing equations of motion and boundary conditions are ...

L1-norm is better than L2-norm at dealing with noisy data and yielding blocky models, features crucial in many geophysical applications. In this report, we develop a hybrid-norm solver proposed by Claerbout (2009) to perform L1 regressions. The solver is tested on a 1-D field RMS velocity inversion, a 2-D regularized Kirchhoff migration inversion and a 2-D velocity analysis problem. The results...

Currently, the amount of recorded data in a seismic survey is order hundreds Terabytes. The processing such implies significant computational challenges. One them I/O bottleneck between main memory and node memory. This results from fact that disk access speed thousands-fold slower than co-processors (eg. GPUs). We propose special Kirchhoff migration develops process over compressed data. by us...

For increasing time values, isochrons can be regarded as expanding wavefronts and their perpendicular lines as the associated orthogonal isochron rays. The speed of the isochron movement depends on the medium velocity and the source-receiver position. We introduce the term equivalent-velocity to refer to the speed of isochron movement. In the particular case of zero-offset data, the equivalent ...

Previous authors have tried to image seismic reflectivity by crosscorrelating passive seismic data, and treating the resultant correlograms as active source seismograms. We provide a mathematical framework for working with passive seismic correlograms that is both appropriate for V (x , y, z) media, and arbitrary source location. Under this framework, correlograms can be migrated with an imagin...

The hyper-Kirchhoff index is introduced when the hyper-Wiener operator is applied to the resistance-distance matrix of a connected graph. We give lower and upper bounds for the hyper-Kirchhoff index, and determine the n-vertex unicyclic graphs with the smallest, the second and the third smallest as well as the largest, the second and the third largest hyper-Kirchhoff indices for n ≥ 5. We also ...

A major challenge for the oil and gas industry is expediting exploration geophysics activity. It necessary to produce fast accurate image of targeted hydrocarbon reservoir, yet it involves extensive dataset due target location lies in deeper subsurface. Therefore, target-oriented gas-reservoir imaging currently seen as more attractive than conventional full-volume migration, terms computation e...