A new linear optimized time–space domain spatial implicit and temporal high-order finite-difference scheme for scalar wave modeling

Wang, Jing; Liu, Yang; Zhou, Haiyang

doi:10.1016/j.jappgeo.2022.104637

Cited by 4 publications

(2 citation statements)

References 39 publications

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“…To suppress numerical dispersion, it is necessary to obtain higher-precision FD operators. Currently, the main methods include the window function method (Wang et al 2015;Wang et al 2017;Li et al 2021) and the optimization method (Liu et al 2013;Yan et al 2015;He et al 2019;Wang et al 2022). Wang et al (2015) designed a window function based on the Chebyshev auto-convolution named Chebyshev auto-convolution combined window.…”

Section: Introductionmentioning

confidence: 99%

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Couple-stress asymmetric wave equations modelling with an optimal finite-difference scheme

Wei,

Bai,

Feng

et al. 2024

Acta Geophys.

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The asymmetric wave equation encompasses the influence of the actual fine structure inside the medium on the wave field, which can better represent the complex seismic wavefield excited by the complex source and reflect the scale effects of the seismic wave response under equal computational power. However, when the finite-difference (FD) operator is applied to implement the numerical modelling using the asymmetric wave equation, numerical dispersion appears due to the use of difference operator to approximate the differential operator, which negatively affects the analysis of the seismic wavefield. To suppress the numerical dispersion, this paper proposes an improved Dung Beetle Optimization (IDBO) algorithm to obtain the optimized FD operators. The IDBO algorithm adopts an improved Tent map and the Opposition-Based Learning strategy to initialize the population, which improves the diversity of the population. The nonlinear function adaptive control strategy is introduced to adjust the population allocation ratio and boundary selection Parameter R to achieve an adequate balance between global exploration and local exploitation. In addition, adaptive weights and the Levy flight mechanism are combined to improve the ball-rolling dung beetle position updating strategy to avoid falling into local extremes. Numerical dispersion analysis and numerical modelling results demonstrate that the optimization of FD operators based on the IDBO algorithm can effectively suppress numerical dispersion. It is of great significance to extract the wave field perturbation caused by heterogeneity due to the complex microstructure in the medium and analyze the influence of the microstructural properties in the medium on seismic wave propagation.

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Section: Introductionmentioning

confidence: 99%

“…He et al (2019) optimized the explicit FD scheme using the Remez exchange algorithm. Wang et al (2022) proposed two new time-space domain implicit staggered-grid FD schemes (New-TE and Opt-LS schemes). The proposed schemes effectively improve the accuracy and efficiency of elastic wave modelling.…”

Section: Introductionmentioning

confidence: 99%