A discontinuous Galerkin method for simulating the effects of arbitrary discrete fractures on elastic wave propagation. Issue 2 (26th May 2017)

• Record Type: Journal Article
• Authors: Zhan, Qiwei; Sun, Qingtao; Ren, Qiang; Fang, Yuan; Wang, Hua; Liu, Qing Huo
• Is Part Of: Geophysical journal international. Volume 210:Issue 2(2017:Aug.)
• Page Start: 1219
• Page End: 1230
• Publication Date: 2017-05-26
• Subjects: Fracture and flow; Numerical approximations and analysis -- Numerical modelling -- Computational seismology; Theoretical seismology -- Wave propagation; Geophysics -- Periodicals; 550
• DOI: 10.1093/gji/ggx233
• Languages: English
• ISSNs: 0956-540X

Abstract

Abstract: 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.