Modeling of frequency-domain elastic-wave equation with a general optimal scheme

Li, Aman; Hong, Liu; Yao, Yuan; Hu, Ting; Guo, Xuebao

doi:10.1016/j.jappgeo.2018.07.014

Cited by 8 publications

(2 citation statements)

References 23 publications

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“…(2017), Li et al . (2018a) also proposed a general optimal nine‐point scheme. In addition, Gu et al .…”

Section: Introductionmentioning

confidence: 99%

“…Later, Cao (2016, 2018) presented the averagederivative optimal schemes for 2D and 3D elastic wave modelling, which arise naturally as generalizations of the corresponding acoustic wave schemes (Chen, 2012(Chen, , 2014. According to the method of Fan et al (2017), Li et al (2018a) also proposed a general optimal nine-point scheme. In addition, Gu et al (2013) and Takekawa and Mikada (2019) proposed a 21-point FD scheme and an elongated FD scheme, respectively.…”

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confidence: 99%

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An improved 25‐point finite‐difference scheme for frequency‐domain elastic wave modelling

Sun

2022

Geophysical Prospecting

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Frequency‐domain finite‐difference modelling is widely used in exploration geophysics. However, it involves solving a large system of linear algebraic equations, which may cause huge computational costs, especially for large‐scale models. To address this issue, we have proposed an improved 25‐point finite‐difference scheme for wavefield modelling of two‐dimensional frequency‐domain elastic wave equations. The biggest difference between the improved 25‐point scheme with other 25‐point schemes is the finite‐difference formulas for spatial derivatives. The proposed 25‐point scheme applies to equal and unequal grid intervals, and its optimization coefficients depend on the grid‐spacing ratio and Poisson's ratio. The dispersion analysis indicates that within the phase velocity errors of 1% and 2%, the improved 25‐point scheme only requires approximately 2.3 and 2.2 grid points per shear wavelength, which has greater accuracy than the existing schemes. To eliminate artificial boundary reflections, we apply the perfectly matched layer boundary conditions to the model edges. Several numerical examples are presented to prove the validity of the improved 25‐point scheme.

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“…(2017), Li et al . (2018a) also proposed a general optimal nine‐point scheme. In addition, Gu et al .…”

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

An improved 25‐point finite‐difference scheme for frequency‐domain elastic wave modelling

Sun

2022

Geophysical Prospecting

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Damage Evolution and Failure Mechanism of Coal Sample Induced by Impact Loading under Different Constraints

Zhao

Vanapalli

2023

Nat Resour Res

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Experimental research on the evolutionary characteristics of acoustic signals for concrete cracking under uniaxial compression

Zhao

Luo

et al. 2022

Applied Acoustics

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Modeling of frequency-domain elastic-wave equation with a general optimal scheme

Cited by 8 publications

References 23 publications

An improved 25‐point finite‐difference scheme for frequency‐domain elastic wave modelling

An improved 25‐point finite‐difference scheme for frequency‐domain elastic wave modelling

Damage Evolution and Failure Mechanism of Coal Sample Induced by Impact Loading under Different Constraints

Experimental research on the evolutionary characteristics of acoustic signals for concrete cracking under uniaxial compression

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