Wave equation migration is often applied to solve seismic imaging problems. Usually, the finite difference method is used to obtain the numerical solution of the wave equation. In this paper, the arbitrarydifference ...
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Wave equation migration is often applied to solve seismic imaging problems. Usually, the finite difference method is used to obtain the numerical solution of the wave equation. In this paper, the arbitrary difference precise integration (ADPI) method is discussed and applied in seismic migration. The ADPI method has its own distinctive idea. When dispersing coordinates in the space domain, it employs a relatively unrestrained form instead of the one used by the conventional finite difference method. Moreover, in the time domain it adopts the sub domain preciseintegration method. As a result, it not only takes the merits of high precision and narrow bandwidth, but also can process various boundary conditions and describe the feature of an inhomogeneous medium better. Numerical results show the benefit of the presented algorithm using the ADPI method.
On the basis of the geological background of Tarim foreland basin, this paper realizes parallel three-dimensional forward modeling in Kuqa area by using three-dimensional arbitrary difference precise integration algor...
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On the basis of the geological background of Tarim foreland basin, this paper realizes parallel three-dimensional forward modeling in Kuqa area by using three-dimensional arbitrary difference precise integration algorithm. Compared with the conventional differential method, the three-dimensional arbitrary difference precise integration algorithm has greatly improved the precision by using local integral semi-analytical method in time domain to obtain the recursion operator of wave equations. In this paper, according to the actual examples analysis, the stability of calculation gets better owing to the stable factor constraints; by using an improved adaptive absorbing boundary and the parallelization of serial program, the time consuming of three-dimensional forward modeling is greatly reduced and a large amount of three-dimensional forward modeling is finished.
D seismic modeling can be used to study the propagation of seismic wave exactly and it is also a tool of 3-D seismic data processing and interpretation. In this paper the arbitrarydifference and preciseintegration a...
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D seismic modeling can be used to study the propagation of seismic wave exactly and it is also a tool of 3-D seismic data processing and interpretation. In this paper the arbitrarydifference and preciseintegration are used to solve seismic wave equation, which means difference scheme for space domain and analytic integration for time domain. Both the principle and algorithm of this method are introduced in the paper. Based on the theory, the numerical examples prove that this hybrid method can lead to higher accuracy than the traditional finite difference method and the solution is very close to the exact one. Also the seismic modeling examples show the good performance of this method even in the case of complex surface conditions and complicated structures.
According to the real geology background of Tarim foreland basin we build 3D seismic data volume of Tarim area by using 3D arbitrarydifferencepreciseintegration (ADPI) algorithm. It is very beneficial for the p...
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According to the real geology background of Tarim foreland basin we build 3D seismic data volume of Tarim area by using 3D arbitrarydifferencepreciseintegration (ADPI) algorithm. It is very beneficial for the processing and explanation of 3D seismic material of Tarim area. Compared with conventional differential method, the 3D ADPI algorithm greatly improves the precision by using local integral semianalytical method in time domain to get the recursion operator of wave equations. And we adopt stable factor constraints, thus the stability of calculation gets much better. By using an improved adaptive absorbing boundary and the parallelization of serial program, the time consuming of 3D forward modeling is greatly reduced. In the research we gathered 300 shots' Omni-directional seismic data volume. The whole data volume approximates 2T. Compare the geology model with actual seismic records we find 3D ADPI forward modeling can accurately show the structure and layers information of geology model. In complex region it can describe geology structure and seismic physical parameters such as amplitude, frequency, phase and so on.
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