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Temporal high-order rotated-staggered-grid finite difference method of anisotropic media elastic wave equations
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WanLai LI1, QianJin ZHAO1, *, Hui WEI2, YiXuan WANG1
Progress in Geophysics | 2026, 41(1) : 289 - 310
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Progress in Geophysics | 2026, 41(1): 289-310
Temporal high-order rotated-staggered-grid finite difference method of anisotropic media elastic wave equations
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WanLai LI1, QianJin ZHAO1, *, Hui WEI2, YiXuan WANG1
Affiliations
  • 1School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan 232000, China
  • 2School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China
Published: 2026-02-20 doi: 10.6038/pg2026JJ0228
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When numerically simulating the elastic wave field in anisotropic media using the rotated staggered grid finite difference method, numerical dispersion phenomena usually occur. To solve this problem, a time-domain high-order difference coefficient calculation model based on the coupling of Taylor expansion and sampling approximation method is proposed, and an improved space-time domain high-order rotating staggered grid scheme is constructed. To verify the performance of the modified algorithm, the improved algorithm is compared with the general staggered grid and other rotated staggered grids, and the dispersion degree and stability of each algorithm are analyzed. Through the results of numerical experiments, it is found that the algorithm improved by the optimization strategy of the difference operator coefficients based on the Taylor expansion and the sampling approximation method can significantly suppress the dispersion of the elastic wave field in isotropic media, VTI/TTI anisotropic media, and the modified BP model.

Elastic wave equation  /  Finite-difference method  /  Rotated-staggered-grid  /  Dispersion analysis
李皖来, 赵前进, 韦慧, 王弈轩. 基于泰勒展开和采样逼近法的各向异性介质弹性波模拟时空高阶旋转交错网格法. 地球物理学进展, 2026 , 41 (1) : 289 -310 . DOI: 10.6038/pg2026JJ0228
WanLai LI, QianJin ZHAO, Hui WEI, YiXuan WANG. Temporal high-order rotated-staggered-grid finite difference method of anisotropic media elastic wave equations[J]. Progress in Geophysics, 2026 , 41 (1) : 289 -310 . DOI: 10.6038/pg2026JJ0228
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Year 2026 volume 41 Issue 1
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doi: 10.6038/pg2026JJ0228
  • Receive Date：2025-06-26
  • Online Date：2026-09-23
  • Published：2026-02-20
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  • Received：2025-06-26
  • Revised：2025-09-10
Affiliations
    1School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan 232000, China
    2School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China
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