Quantitative Analysis of Mesh Quality Impact on Spectral Element Method-based Wavefield Forward Modeling
The paper aims to quantitatively analyze the impact of mesh quality on the accuracy and convergence of spectral-element method(SEM)wavefield forward modeling.Theoretical calculations first clarified the influence of mesh skewness on the approximation error of La-grange polynomial interpolation,revealing a significant increase in interpolation error with increasing mesh skewness.Subsequently,SEM seismic wavefield forward modeling experi-ments were conducted on six geological models with varying mesh skewness.The results in-dicate that when mesh skewness exceedes 0.8,simulation accuracy remaines unaffected;at a skewness of 0.6,simulation instability emerges in the absorbing boundary wavefield;and when skewness further decreases to 0.4 or less,severe non-convergence occurres in the wavefield forward simulation.These quantified results directly demonstrate the significance of mesh quality in SEM wavefield forward modeling,establishing a quantifiable bridge be-tween mesh quality evaluation and accuracy,efficiency,and stability of forward modeling.Additionally,they provide a scientific basis for optimizing mesh generation strategies.
spectral element methodseismic wavefieldforward modelingmesh quality