Research on Wave Field Numerical Simulation of High Order Finite Difference in Multi-Scale Grid Wave Equations
[1]
Zhang Xiaodan, College of Electronic and Information, Xi`an Polytechnic University, Xi’an, China; College of Electronics and Information Engineering (College of Microelectronics), Xi`an Jiaotong University, Xi’an, China.
[2]
She Yichong, College of Electronic and Information, Xi`an Polytechnic University, Xi’an, China.
[3]
Liu Guizhong, College of Electronics and Information Engineering (College of Microelectronics), Xi`an Jiaotong University, Xi’an, China.
[4]
Zhang Zhiyu, College of Automation and Information engineering, Xi'an University of Technology, Xi’an, China.
[5]
Zhu Lei, College of Electronic and Information, Xi`an Polytechnic University, Xi’an, China.
In the numerical simulation of seismic wave field, the problem of how to ensure both high efficiency and precision has always been one of the hot spots of seismic exploration scholars. The traditional method used the constant small step length in finite difference, which greatly reduces the calculation efficiency. A method of adopt different scale grids according to the characteristics of the geological model and optimize the transition zone has been proposed. firstly, analysis the speed model of the research object to determine the scale of grid; secondly, determine the scope of the transition zone; finally, calculate the coefficient and the differential points of both inside and outside the transition zone, gain the wave field value of every grid point of the model. According to the experimental results in the paper, the calculation efficiency of multi-scale grid method can be improved obviously, and the case’s results of this article can as high as 25.16% in average.
Multi-scale Grid, Step Length, Transition Zone, Wave Field Simulation, Computational Efficiency
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