Fractional Time Derivative Seismic Wave Equation Modeling for Natural Gas Hydrate

Wang, Yanfei; Ning, Yaxin; Wang, Yibo

doi:10.3390/en13225901

Cited by 6 publications

(2 citation statements)

References 32 publications

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“…The seismic wave equations have many applications such as seismic exploration, source localization among others 1 – 4 . Finite difference time domain (FDTD) method is one of the most popular methods for solving the seismic wave equations 5 – 7 .…”

Section: Introductionmentioning

confidence: 99%

A hybrid explicit implicit staggered grid finite-difference scheme for the first-order acoustic wave equation modeling

Liang

Wang

Cao

et al. 2022

Sci Rep

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Implicit staggered-grid finite-difference (SGFD) methods are widely used for the first-order acoustic wave-equation modeling. The identical implicit SGFD operator is commonly used for all of the first-order spatial derivatives in the first-order acoustic wave-equation. In this paper, we propose a hybrid explicit implicit SGFD (HEI-SGFD) scheme which could simultaneously preserve the wave-equation simulation accuracy and increase the wave-equation simulation speed. We use a second-order explicit SGFD operator for half of the first-order spatial derivatives in the first-order acoustic wave-equation. At the same time, we use the implicit SGFD operator with added points in the diagonal direction for the other first-order spatial derivatives in the first-order acoustic wave-equation. The proposed HEI-SGFD scheme nearly doubles the wave-equation simulation speed compared to the implicit SGFD schemes. In essence, the proposed HEI-SGFD scheme is equivalent to the second-order FD scheme with ordinary grid format. We then determine the HEI-SGFD coefficients in the time–space domain by minimizing the phase velocity error using the least-squares method. Finally, the effectiveness of the proposed method is demonstrated by dispersion analysis and numerical simulations.

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Section: Introductionmentioning

confidence: 99%

A hybrid explicit implicit staggered grid finite-difference scheme for the first-order acoustic wave equation modeling

Liang

Wang

Cao

et al. 2022

Sci Rep

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“…However, it can also be done in 1D, 2D, and 2.5D models in some applications to reduce the simulation time. Various methods are used to simulate 3D seismic wave propagation including finite-difference, e.g., [1][2][3][4], finite-volume, e.g., [5][6][7], and Lattice-Boltzmann, e.g., [8][9][10]. In particular, the finite-difference method covers an intuitive and practical modeling approach because it can be used for single-and multi-dimensional spaces and wave equations of any complexity.…”

Section: Introductionmentioning

confidence: 99%

Viscoelastic Model and Synthetic Seismic Data of Eastern Rub’Al-Khali

et al. 2021

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The Rub’ Al-Khali basin in Saudi Arabia remains unexplored and lacks data availability due to its remoteness and the challenging nature of its terrain. Thus far, there are neither digital geologic models nor synthetic seismic data from this specific area accessible for testing research techniques and analysis. In this study, we build a 2D viscoelastic model of the eastern part of the Rub’ Al-Khali basin and generate a corresponding dual-component seismic data set. We compile high-resolution depth models of compressional- and shear-wave velocities, density, as well as compressional- and shear-wave quality factors from published data. The compiled models span Neoproterozoic basement up to Quaternary sand dunes. We then use the finite-difference technique to model the propagation of seismic waves in the compiled viscoelastic medium of eastern Rub’ Al-Khali desert. In particular, we generate vertical and horizontal components of the shot gathers with accuracy to the fourth and second orders in space and time, respectively. The viscoelastic models and synthetic seismic datasets are made available in an open-source site for prospective re-searchers who desire to use them for their research. Users of these datasets are urged to make their findings also accessible to the geoscience community as a way of keeping track of developments related to the Rub’ Al-Khali desert.

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