3D modeling of time-harmonic elastic waves in anisotropic media using a direct Helmholtz solver

2012 ◽  
Author(s):  
Shen Wang ◽  
Maarten V. de Hoop ◽  
Jianlin Xia ◽  
Xiaoye Li
Keyword(s):  
3D Modeling ◽  
Elastic Waves ◽  
Anisotropic Media ◽  
Time Harmonic

scholarly journals Massively parallel structured multifrontal solver for time-harmonic elastic waves in 3-D anisotropic media

2012 ◽  
Vol 191 (1) ◽  
pp. 346-366 ◽  
Author(s):  
Shen Wang ◽  
Maarten V. de Hoop ◽  
Jianlin Xia ◽  
Xiaoye S. Li
Keyword(s):  
Elastic Waves ◽  
Anisotropic Media ◽  
Massively Parallel ◽  
Time Harmonic

Elastic waves in periodically layered infinite and semi-infinite anisotropic media

1987 ◽  
Vol 185 (1-2) ◽  
pp. A243 ◽  
Author(s):  
A. Nougaoui ◽  
B.Djafari Rouhani
Keyword(s):  
Elastic Waves ◽  
Anisotropic Media

Scattering of time-harmonic elastic waves by an elastic inclusion with quadratic nonlinearity

2012 ◽  
Vol 131 (4) ◽  
pp. 2570-2578 ◽  
Author(s):  
Guangxin Tang ◽  
Laurence J. Jacobs ◽  
Jianmin Qu
Keyword(s):  
Elastic Waves ◽  
Elastic Inclusion ◽  
Quadratic Nonlinearity ◽  
Time Harmonic

Fundamentals of Elastic Waves in Anisotropic Media

2019 ◽  
pp. 11-36
Author(s):  
Subhendu K. Datta ◽  
Arvind H. Shah
Keyword(s):  
Elastic Waves ◽  
Anisotropic Media

Elastic Waves in Anisotropic Media

1956 ◽  
Vol 35 (1-4) ◽  
pp. 323-334 ◽  
Author(s):  
J. L. Synge
Keyword(s):  
Elastic Waves ◽  
Anisotropic Media

scholarly journals Simulating propagation of decoupled elastic waves using low-rank approximate mixed-domain integral operators for anisotropic media

Geophysics ◽  
2016 ◽  
Vol 81 (2) ◽  
pp. T63-T77 ◽  
Author(s):  
Jiubing Cheng ◽  
Tariq Alkhalifah ◽  
Zedong Wu ◽  
Peng Zou ◽  
Chenlong Wang
Keyword(s):  
Elastic Waves ◽  
Vector Fields ◽  
Integral Operators ◽  
Transversely Isotropic ◽  
Anisotropic Media ◽  
Low Rank ◽  
Elastic Displacement ◽  
Low Rank Approximation ◽  
Time Step ◽  
Domain Integral

In elastic imaging, the extrapolated vector fields are decoupled into pure wave modes, such that the imaging condition produces interpretable images. Conventionally, mode decoupling in anisotropic media is costly because the operators involved are dependent on the velocity, and thus they are not stationary. We have developed an efficient pseudospectral approach to directly extrapolate the decoupled elastic waves using low-rank approximate mixed-domain integral operators on the basis of the elastic displacement wave equation. We have applied [Formula: see text]-space adjustment to the pseudospectral solution to allow for a relatively large extrapolation time step. The low-rank approximation was, thus, applied to the spectral operators that simultaneously extrapolate and decompose the elastic wavefields. Synthetic examples on transversely isotropic and orthorhombic models showed that our approach has the potential to efficiently and accurately simulate the propagations of the decoupled quasi-P and quasi-S modes as well as the total wavefields for elastic wave modeling, imaging, and inversion.

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