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

**Jiubing Cheng ^{}, Tariq Alkhalifah^{}, Zedong Wu^{}, Peng Zou^{}and Chenlong Wang^{}
**

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 as
the operators involved are dependent on the velocity, and thus are not stationary.
We develop an efficient pseudo-spectral 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 apply
-space adjustment to the pseudo-spectral solution to allow for
a relatively large extrapolation time-step.
The low-rank approximation is, thus, applied to the spectral operators that
simultaneously extrapolate and decompose the elastic wavefields.
Synthetic examples on transversely isotropic and orthorhombic models
show 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.

- Introduction
- Propagating coupled elastic wavefields

- Propagating decoupled elastic wavefields

- Fast algorithm using low-rank decomposition
- examples

- conclusions
- ACKNOWLEDGMENTS
- Bibliography
- About this document ...

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

2016-11-21