Fractional time derivative seismic wave equation modeling for natural gas hydrate

Fractional time derivative seismic wave equation modeling for natural gas hydrate

Natural gas

Gas hydrates

Wave propagation

Finite difference method

Seismic waves

Hydration

Seismology

Wave equations

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 earths 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 Kjartanssons 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. 2020 by the authors. Licensee MDPI, Basel, Switzerland.

22

13

Energies

2020

Wang, Yanfei

Ning, Yaxin

Wang, Yibo

journalArticle

19961073

10.3390/en13225901