High-order temporal and implicit spatial staggered-grid finite-difference operators for modelling seismic wave propagation

2019 ◽  
Vol 217 (2) ◽  
pp. 844-865 ◽  
Author(s):  
Zhiming Ren ◽  
Zhenchun Li
Keyword(s):  
Wave Propagation ◽  
Finite Difference ◽  
Seismic Wave ◽  
Seismic Wave Propagation ◽  
High Order ◽  
Staggered Grid ◽  
Difference Operators

Modeling seismic wave propagation in a coal-bearing porous medium by a staggered-grid finite difference method

2011 ◽  
Vol 21 (5) ◽  
pp. 727-731 ◽  
Author(s):  
Guangui Zou ◽  
Suping Peng ◽  
Caiyun Yin ◽  
Xiaojuan Deng ◽  
Fengying Chen ◽  
...  
Keyword(s):  
Porous Medium ◽  
Wave Propagation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Seismic Wave ◽  
Difference Method ◽  
Seismic Wave Propagation ◽  
Staggered Grid

scholarly journals A no-cost improved velocity–stress staggered-grid finite-difference scheme for modelling seismic wave propagation

2016 ◽  
Vol 207 (1) ◽  
pp. 481-511 ◽  
Author(s):  
Leila Etemadsaeed ◽  
Peter Moczo ◽  
Jozef Kristek ◽  
Anooshiravan Ansari ◽  
Miriam Kristekova
Keyword(s):  
Wave Propagation ◽  
Finite Difference ◽  
Difference Scheme ◽  
Seismic Wave ◽  
Finite Difference Scheme ◽  
Seismic Wave Propagation ◽  
Staggered Grid

Temporal high-order staggered-grid finite-difference schemes for elastic wave propagation

Geophysics ◽  
2017 ◽  
Vol 82 (5) ◽  
pp. T207-T224 ◽  
Author(s):  
Zhiming Ren ◽  
Zhen Chun Li
Keyword(s):  
Wave Propagation ◽  
Wave Equation ◽  
Finite Difference ◽  
Elastic Wave ◽  
High Order ◽  
Elastic Wave Propagation ◽  
Staggered Grid ◽  
S Wave ◽  
Order Accuracy ◽  
Spatial Derivatives

The traditional high-order finite-difference (FD) methods approximate the spatial derivatives to arbitrary even-order accuracy, whereas the time discretization is still of second-order accuracy. Temporal high-order FD methods can improve the accuracy in time greatly. However, the present methods are designed mainly based on the acoustic wave equation instead of elastic approximation. We have developed two temporal high-order staggered-grid FD (SFD) schemes for modeling elastic wave propagation. A new stencil containing the points on the axis and a few off-axial points is introduced to approximate the spatial derivatives. We derive the dispersion relations of the elastic wave equation based on the new stencil, and we estimate FD coefficients by the Taylor series expansion (TE). The TE-based scheme can achieve ([Formula: see text])th-order spatial and ([Formula: see text])th-order temporal accuracy ([Formula: see text]). We further optimize the coefficients of FD operators using a combination of TE and least squares (LS). The FD coefficients at the off-axial and axial points are computed by TE and LS, respectively. To obtain accurate P-, S-, and converted waves, we extend the wavefield decomposition into the temporal high-order SFD schemes. In our modeling, P- and S-wave separation is implemented and P- and S-wavefields are propagated by P- and S-wave dispersion-relation-based FD operators, respectively. We compare our schemes with the conventional SFD method. Numerical examples demonstrate that our TE-based and TE + LS-based schemes have greater accuracy in time and better stability than the conventional method. Moreover, the TE + LS-based scheme is superior to the TE-based scheme in suppressing the spatial dispersion. Owing to the high accuracy in the time and space domains, our new SFD schemes allow for larger time steps and shorter operator lengths, which can improve the computational efficiency.

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