Staggered-Grid Finite Difference Method for Numerical Simulation of the Formulated BISQ Model

2013 ◽  
Vol 756-759 ◽  
pp. 4742-4746
Author(s):  
Xin Ming Zhang ◽  
Chang Ming Fu ◽  
Ting Ting Guo
Keyword(s):  
Numerical Simulation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Numerical Dispersion ◽  
Staggered Grid ◽  
Layer Method ◽  
Bisq Model ◽  
Flux Corrected Transport ◽  
Transport Method

In this paper, based on the formulated BISQ model including the Biot-flow and squirt-flow mechanism simultaneously, the elastic wave propagation in the isotropic porous medium filled with fluids is simulated by the staggered grid finite difference method. The perfectly matched layer method and the flux-corrected transport method are used to eliminate the effect of boundary reflection and numerical dispersion effect. The results of numerical simulation demonstrate that the method is effective.

The Study of the Difference Methods with Variable Grids Seismic Wave Numerical Simulation in Multi-Scale Complex Media

2014 ◽  
Vol 1055 ◽  
pp. 254-258
Author(s):  
Jie Zhang ◽  
Fan Shun Meng ◽  
Yang Sen Li
Keyword(s):  
Numerical Simulation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Wave Field ◽  
Seismic Wave ◽  
Computational Efficiency ◽  
Difference Method ◽  
Staggered Grid ◽  
Small Scale ◽  
Simulation Accuracy

In the process of seismic wave field numerical simulation using finite difference method, the simulation accuracy and computational efficiency is one of the keys to the problem which is especially important to the numerical simulation of small scale geological body which velocity changes violently. In order to describe the local structure of medium subtly and guarantee the efficiency of the simulation, this article introduces the variable grid finite difference method to the staggered grid high-order finite difference numerical simulation on the basic of the traditional staggered grid finite difference algorithm to improve the staggered grid spatial algorithm and avoid the reduction of the simulation accuracy and computational efficiency caused by the interpolation factor. The results show that the variable staggered grid numerical simulation of finite difference algorithm can accurately depict the space variation of underground medium physical properties to further enhance the adaptability of numerical simulation of complex medium, it also can provide reliable basis for wave field imaging and the combined interpretation of p-wave and s-wave.

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