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Fractional Time Derivative Seismic Wave Equation Modeling for Natural Gas Hydrate

Author

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  • Yanfei Wang

    (Key Laboratory of Petroleum Resources Research, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China
    College of Earth and Planetary Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
    Innovation Academy of Earth Science, Chinese Academy of Sciences, Beijing 100029, China)

  • Yaxin Ning

    (Key Laboratory of Petroleum Resources Research, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China
    College of Earth and Planetary Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
    Innovation Academy of Earth Science, Chinese Academy of Sciences, Beijing 100029, China)

  • Yibo Wang

    (Key Laboratory of Petroleum Resources Research, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China
    Innovation Academy of Earth Science, Chinese Academy of Sciences, Beijing 100029, China)

Abstract

Simulation of the seismic wave propagation in natural gas hydrate (NGH) is of great importance. To finely portray the propagation of seismic wave in NGH, attenuation properties of the earth’s medium which causes reduced amplitude and dispersion need to be considered. The traditional viscoacoustic wave equations described by integer-order derivatives can only nearly describe the seismic attenuation. Differently, the fractional time derivative seismic wave-equation, which was rigorously derived from the Kjartansson’s constant- Q model, could be used to accurately describe the attenuation behavior in realistic media. We propose a new fractional finite-difference method, which is more accurate and faster with the short memory length. Numerical experiments are performed to show the feasibility of the proposed simulation scheme for NGH, which will be useful for next stage of seismic imaging of NGH.

Suggested Citation

  • Yanfei Wang & Yaxin Ning & Yibo Wang, 2020. "Fractional Time Derivative Seismic Wave Equation Modeling for Natural Gas Hydrate," Energies, MDPI, vol. 13(22), pages 1-24, November.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:22:p:5901-:d:443903
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    References listed on IDEAS

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    1. Zhi Geng & Yanfei Wang, 2020. "Author Correction: Automated design of a convolutional neural network with multi-scale filters for cost-efficient seismic data classification," Nature Communications, Nature, vol. 11(1), pages 1-1, December.
    2. Zhi Geng & Yanfei Wang, 2020. "Automated design of a convolutional neural network with multi-scale filters for cost-efficient seismic data classification," Nature Communications, Nature, vol. 11(1), pages 1-11, December.
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    Cited by:

    1. Reza Rezaee, 2022. "Editorial on Special Issues of Development of Unconventional Reservoirs," Energies, MDPI, vol. 15(7), pages 1-9, April.
    2. Qingping Li & Shuxia Li & Shuyue Ding & Zhenyuan Yin & Lu Liu & Shuaijun Li, 2022. "Numerical Simulation of Gas Production and Reservoir Stability during CO 2 Exchange in Natural Gas Hydrate Reservoir," Energies, MDPI, vol. 15(23), pages 1-17, November.

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