Optimal Fourth-order Staggered-grid Finite-difference Scheme for 3D Frequency-domain Viscoelastic Wave Modeling

2015 ◽  
Author(s):  
Y. Li ◽  
B. Han ◽  
Y. Chen ◽  
Q. He
Keyword(s):  
Finite Difference ◽  
Difference Scheme ◽  
Frequency Domain ◽  
Fourth Order ◽  
Finite Difference Scheme ◽  
Staggered Grid ◽  
Wave Modeling ◽  
Viscoelastic Wave

A Global Optimized Implicit Staggered-Grid Finite-Difference Scheme for Elastic Wave Modeling

2015 ◽  
Vol 58 (6) ◽  
pp. 682-700 ◽  
Author(s):  
WANG Yang ◽  
LIU Hong ◽  
ZHANG Heng ◽  
WANG Zhi-Yang ◽  
TANG Xiang-De
Keyword(s):  
Finite Difference ◽  
Elastic Wave ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Staggered Grid ◽  
Wave Modeling

A discontinuous-grid finite-difference scheme for frequency-domain 2D scalar wave modeling

Geophysics ◽  
2018 ◽  
Vol 83 (4) ◽  
pp. T235-T244 ◽  
Author(s):  
Na Fan ◽  
Lian-Feng Zhao ◽  
Xiao-Bi Xie ◽  
Zhen-Xing Yao
Keyword(s):  
Finite Difference ◽  
Difference Scheme ◽  
Frequency Domain ◽  
Transition Zone ◽  
Time Domain ◽  
Finite Difference Scheme ◽  
Grid Method ◽  
Scalar Wave ◽  
Wave Modeling ◽  
Spacing Ratio

The discontinuous-grid method can greatly reduce the storage requirement and computational cost in finite-difference modeling, especially for models with large velocity contrasts. However, this technique is mostly applied to time-domain methods. We have developed a discontinuous-grid finite-difference scheme for frequency-domain 2D scalar wave modeling. Special frequency-domain finite-difference stencils are designed in the fine-coarse grid transition zone. The coarse-to-fine-grid spacing ratio is restricted to [Formula: see text], where [Formula: see text] is a positive integer. Optimization equations are formulated to obtain expansion coefficients for irregular stencils in the transition zone. The proposed method works well when teamed with commonly used 9- and 25-point schemes. Compared with the conventional frequency-domain finite-difference method, the proposed discontinuous-grid method can largely reduce the size of the impedance matrix and number of nonzero elements. Numerical experiments demonstrated that the proposed discontinuous-grid scheme can significantly reduce memory and computational costs, while still yielding almost identical results compared with those from conventional uniform-grid simulations. When tested for a very long elapsed time, the frequency-domain discontinuous-grid method does not show instability problems as its time-domain counterpart usually does.

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