A discontinuous Galerkin method for simulating the effects of arbitrary discrete fractures on elastic wave propagation

作者：Zhan Qiwei; Sun Qingtao; Ren Qiang; Fang Yuan; Wang Hua; Liu Qing Huo^*

来源：Geophysical Journal International, 2017, 210(2): 1219-1230.

DOI：10.1093/gji/ggx233

• Fracture and flow
• Numerical approximations and analysis
• Numerical modelling
• Computational seismology
• Theoretical seismology
• Wave propagation

We develop a non-conformal mesh discontinuous Galerkin (DG) pseudospectral time domain (PSTD) method for 3-D elastic wave scattering problems with arbitrary fracture inclusions. In contrast to directly meshing the exact thin-layer fracture, we use the linear-slip model, one kind of transmission boundary condition, for the DG scheme. Intrinsically, we can efficiently impose a jump-boundary condition by defining a new numerical flux for the surface integration in the DG framework. This transmission boundary condition in the DG-PSTD method significantly reduces the computational cost. 3-D DG simulations and accurate waveform comparisons validate our results for arbitrary discrete fractures. Numerical results indicate that fractures have a significant influence on wave propagation.

• 出版日期2017-8