Kirchhoff prestack migration using the suppressed wave equation estimation of traveltime (SWEET) algorithm in VTI media

2015 ◽  
Vol 46 (4) ◽  
pp. 342-348
Author(s):  
Ho Seuk Bae ◽  
Wookeen Chung ◽  
Jiho Ha ◽  
Changsoo Shin
Keyword(s):  
Wave Equation ◽  
Prestack Migration ◽  
Vti Media

Prestack wave-equation depth migration in VTI media

2005 ◽  
Vol 24 (6) ◽  
pp. 618-620 ◽  
Author(s):  
Jiaxiang Ren ◽  
Clive Gerrard ◽  
James Mcclean ◽  
Mikhail Orlovich
Keyword(s):  
Wave Equation ◽  
Depth Migration ◽  
Vti Media

scholarly journals Wave equation calculation of most energetic traveltimes and amplitudes for Kirchhoff prestack migration

Geophysics ◽  
2003 ◽  
Vol 68 (6) ◽  
pp. 2040-2042 ◽  
Author(s):  
Changsoo Shin ◽  
Seungwon Ko ◽  
Kurt J. Marfurt ◽  
Dongwoo Yang
Keyword(s):  
Wave Equation ◽  
Prestack Migration

Vector imaging of converted wave data in laterally uniform media with VTI anisotropy

Geophysics ◽  
2006 ◽  
Vol 71 (4) ◽  
pp. S141-S145 ◽  
Author(s):  
Charlie Jing ◽  
Thomas A. Dickens ◽  
Graham A. Winbow
Keyword(s):  
Seismic Events ◽  
Imaging Method ◽  
Point Scatterer ◽  
Converted Wave ◽  
Prestack Migration ◽  
Wave Data ◽  
Enhanced Resolution ◽  
Wave Imaging ◽  
Transverse Isotropic ◽  
Vti Media

A vector imaging method has been developed for PS-converted waves in laterally homogeneous vertically transverse isotropic (VTI) media. It decomposes the converted-wave data into two upgoing quasi-shear waves ([Formula: see text] and [Formula: see text]) within the prestack migration algorithm according to subsurface image and surface receiver locations. Because the decomposition is performed as part of the migration, it is consistent with the dip and polarization of the seismic events, unlike traditional algorithms that use premigration rotations. Two shear-wave images with potentially enhanced resolution are formed simultaneously from the vector migration. The effects of VTI anisotropy on PS-converted wave imaging and the capability of the PS vector imaging algorithm to provide enhanced images are illustrated using a point-scatterer model.

On the instability in second-order systems for acoustic VTI and TTI media

Geophysics ◽  
2012 ◽  
Vol 77 (5) ◽  
pp. T171-T186 ◽  
Author(s):  
Kenneth P. Bube ◽  
Tamas Nemeth ◽  
Joseph P. Stefani ◽  
Ray Ergas ◽  
Wei Liu ◽  
...  
Keyword(s):  
Wave Equation ◽  
Dispersion Relation ◽  
Differential Equations ◽  
Shear Wave ◽  
Transversely Isotropic ◽  
Second Order ◽  
Wave Speeds ◽  
Tti Media ◽  
Second Order Systems ◽  
Vti Media

We studied second-order wave propagation systems for vertical transversely isotropic (VTI) and tilted transversely isotropic (TTI) acoustic media with variable axes of symmetry that have their shear-wave speeds set to zero. Acoustic TTI systems are commonly used in reverse-time migration, but these second-order systems are susceptible to instablities appearing as nonphysical stationary noise growing linearly in time, particularly in variable-tilt TTI media. We found an explanation of the cause of this phenomenon. The instabilities are not caused only by the numerical schemes; they are inherent to the differential equations. These instabilities are present even in homogeneous VTI media. These instabilities are caused by zero wave speeds at a wide variety of wavenumbers — a direct consequence of setting the shear-wave speeds to zero — coupled with the second time derivative in these systems. Although the second-order isotropic wave equation allows smooth time-growing solutions, a larger class of time-growing solutions exists for the second-order acoustic TI systems, including nonsmooth solutions. Boundary conditions appear to be less effective in controlling these time-growing solutions than they are for the isotropic wave equation. These systems conserve an incomplete energy that does not prevent the instabilities. The corresponding steady-state systems are no longer elliptic differential equations and can have nonsmooth solutions that are related to the instabilities. We started initially with homogeneous VTI media, and then extended these results to heterogeneous variable-tilt TTI media. We also developed a second-order acoustic system for heterogeneous variable-tilt TTI media derived directly from the full-elastic system for heterogeneous variable-tilt TTI media. All second-order systems with a dispersion relation obtained by setting the shear-wave speeds to zero in the elastic dispersion relation allowed these nonphysical time-growing solutions; however, knowing the cause of these instabilities, it may be possible to prevent or control the activation of these solutions.

Wave equation prestack depth migration in laterally varying VTI media

2005 ◽  
Author(s):  
Jiaxiang Ren ◽  
Clive Gerrard ◽  
James McClean ◽  
Mikhail Orlovich
Keyword(s):  
Wave Equation ◽  
Prestack Depth Migration ◽  
Depth Migration ◽  
Vti Media

A new QP-wave equation for 2D VTI media

2016 ◽  
Author(s):  
Guojie Song ◽  
Rong Huang ◽  
Jidong Tian ◽  
Yali Chen ◽  
Puchun Chen ◽  
...  
Keyword(s):  
Wave Equation ◽  
Vti Media
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