In order to deene an optimal true amplitude prestack depth migration for mul-tishot and multitrace data, we develop a general methodology based on the least squares data misst function associated with a forward model. The amplitude of the migrated events are restored at best for any given geometry and any given preliminary ltering and amplitude correction of the data. The migrated section is th...

we introduce a new concept of general $g$-$eta$-monotone operator generalizing the general $(h,eta)$-monotone operator cite{arvar2, arvar1}, general $h-$ monotone operator cite{xiahuang} in banach spaces, and also generalizing $g$-$eta$-monotone operator cite{zhang}, $(a, eta)$-monotone operator cite{verma2}, $a$-monotone operator cite{verma0}, $(h, eta)$-monotone operator cite{fanghuang}, $h$-...

Abstract Seismic anisotropy exists in various type of strata and should be considered seismic imaging schemes. algorithms based on isotropic assumption neglect the impacts data, which causes migration artifact waveform distortion. To correct effects wave propagation, we propose an algorithm that performs least-squares reverse time vertical transversely acoustic media. We derive following operat...

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Biogeography-based optimization algorithm(BBO) is a new kind of optimization algorithm based on Biogeography. It is designed based on the migration strategy of animals to solve the problem of optimization. In this paper, a new algorithm-Biogeography Migration Algorithm for Traveling Salesman Problem(TSPBMA) is presented. Migration operator is designed. It is tested on four classical TSP problem...

Common-azimuth migration (CAM) is an attractive solution for 3-D prestack imaging. It reduces the full 5-D phase-shift operator to 4-D through the stationary-phase approximation, lowering the computational cost. However, this assumption yields constraints in the downward-continuation process that can limit accuracy. Those errors are estimated in this paper by comparison to other wave-equation m...

Under operator, matrix and inverse theory, seismic-wave imaging can be considered a unified process—mapping from data space to model space. The main topics in seismic-wave imaging include (1) seismic-data interpolation, regularization and redatuming, which mainly decrease the imaging noise; (2) seismic-wave illumination analysis, which predicts whether a target reflector can be imaged and evalu...

in this paper we study properties of symbols such that these belong to class of symbols sitting insidesm ρ,φ that we shall introduce as the following. so for because hypoelliptic pseudodifferential operatorsplays a key role in quantum mechanics we will investigate some properties of m−hypoelliptic pseudodifferential operators for which define base on this class of symbols. also we consider maxi...