A vector fields approach to smoothing and decaying estimates for equations in anisotropic media

2019 ◽  
Author(s):  
Mitsuru Sugimoto
Keyword(s):  
Vector Fields ◽  
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.

Normal Forms and Bifurcation of Planar Vector Fields

1994 ◽  
Author(s):  
Shui-Nee Chow ◽  
Chengzhi Li ◽  
Duo Wang
Keyword(s):  
Vector Fields ◽  
Normal Forms ◽  
Planar Vector Fields ◽  
Planar Vector

Ideas about viscous coupling in anisotropic media

1996 ◽  
Vol 22 ◽  
pp. 149
Author(s):  
W Rose
Keyword(s):  
Anisotropic Media ◽  
Viscous Coupling

Techical memorandum: Nonsymmetrical broadside-coupled microstrips in multilayered anisotropic media

1987 ◽  
Vol 134 (4) ◽  
pp. 400
Author(s):  
M. Horno ◽  
R. Marques
Keyword(s):  
Anisotropic Media

MATHEMATICAL MODELS AND ALGORITHMS FOR RECONSTRUCTION OF SINGULAR SUPPORT OF FUNCTIONS AND VECTOR FIELDS BY TOMOGRAPHIC DATA

2015 ◽  
Vol 3 (1) ◽  
pp. 4-44
Author(s):  
E.Yu. Derevtsov ◽  
◽  
S.V. Maltseva ◽  
I.E. Svetov ◽  
◽  
...  
Keyword(s):  
Mathematical Models ◽  
Vector Fields ◽  
Singular Support ◽  
Tomographic Data

Parallel Computation of Complex Antennas around the Coated Object Using Iterative Vector Fields Technique

2014 ◽  
Vol E97.C (7) ◽  
pp. 661-669
Author(s):  
Ying YAN ◽  
Xunwang ZHAO ◽  
Yu ZHANG ◽  
Changhong LIANG ◽  
Zhewang MA
Keyword(s):  
Parallel Computation ◽  
Vector Fields

Differential p-forms and q-vector fields with constant coefficients

2020 ◽  
pp. 1
Author(s):  
Jaime Muñoz Masqué ◽  
Luis M. Pozo Coronado ◽  
M. Eugenia Rosado
Keyword(s):  
Vector Fields ◽  
Constant Coefficients ◽  
Q Vector
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