1-20 OF 3545 RESULTS FOR

vertical transverse isotropic model

Results shown limited to content with bounding coordinates.
Follow your search
Access your saved searches in your account

Would you like to receive an alert when new items match your search?
Close Modal
Sort by
Journal Article
Journal: Interpretation
Published: 30 October 2020
Interpretation (2020) 8 (4): T1023–T1036.
.... Several studies (e.g.,  Aderibigbe et al., 2016 ; Chen Valdes et al., 2016 ; Mokhtari et al., 2016 ) elaborated on the role of shale anisotropy and used vertical transverse isotropic modeling to predict stress. Because of the layered microstructure of shales, the elastic stiffness tensor can...
Image
Vertical transversely isotropic model used in demonstration of wavefield reconstruction methods. (a) Density, (b) vertical P-wave velocity, (c) vertical S-wave velocity, (d)Thomsen’s parameter ϵ, and (e) Thomsen’s parameter δ.
Published: 15 March 2016
Figure 1. Vertical transversely isotropic model used in demonstration of wavefield reconstruction methods. (a) Density, (b) vertical P-wave velocity, (c) vertical S-wave velocity, (d)Thomsen’s parameter ϵ , and (e) Thomsen’s parameter δ .
Journal Article
Journal: Geophysics
Published: 11 March 2019
Geophysics (2019) 84 (3): T121–T131.
... and Hestholm (2005) implement a 2D time-domain finite-difference modeling of orthorhombic attenuation, and Bai and Tsvankin (2016) present a detailed numerical demonstration and analysis of vertical transversely isotropic (VTI) attenuation by 2D time-domain finite-difference modeling. Zhu (2017) derives...
FIGURES
First thumbnail for: Efficient <span class="search-highlight">modeling<...
Second thumbnail for: Efficient <span class="search-highlight">modeling<...
Third thumbnail for: Efficient <span class="search-highlight">modeling<...
Journal Article
Journal: Geophysics
Published: 01 September 1990
Geophysics (1990) 55 (9): 1235–1241.
... for a vertical axis of symmetry of the transversely isotropic layer (e.g., anisotropy due to horizontal bedding). GeoRef, Copyright 2005, American Geological Institute. Reference includes data supplied by Society of Exploration Geophysicists, Tulsa, OK, United States 1990 ...
Journal Article
Journal: Geophysics
Published: 01 October 2008
Geophysics (2008) 73 (5): VE75–VE92.
... migration. A locally 1D, spatially varying, vertical transversely isotropic model is assumed. The background anisotropy parameters are the instantaneous (interval) vertical compression velocity V P and the two Thomsen anisotropy parameters, δ and ε . The interval velocity δ is updated from short-offset...
FIGURES
First thumbnail for: Anisotropic local tomography
Second thumbnail for: Anisotropic local tomography
Third thumbnail for: Anisotropic local tomography
Journal Article
Journal: Geophysics
Published: 01 May 1997
Geophysics (1997) 62 (3): 713–722.
... into the influence of anisotropy on the AVO signature. To overcome this difficulty, I present an improved approximation for P -wave reflection coefficients at a horizontal boundary in transversely isotropic media with vertical axis of symmetry (VTI media). This solution has the same AVO-gradient term describing...
Journal Article
Journal: Geophysics
Published: 29 June 2023
Geophysics (2023) 88 (5): T237–T258.
...-domain seismic modeling in vertical transversely isotropic media with sparse direct solver : Geophysics , 79 , no.  5 , T257 – T275 , doi: http://dx.doi.org/10.1190/geo2013-0478.1 . GPYSA7 0016-8033 Operto S. Virieux J. Amestoy P. L’Excellent J.-Y. Giraud L. Ali H. B. H...
FIGURES
First thumbnail for: Frequency-domain elastic wave <span class="search-...
Second thumbnail for: Frequency-domain elastic wave <span class="search-...
Third thumbnail for: Frequency-domain elastic wave <span class="search-...
Journal Article
Journal: Geophysics
Published: 03 August 2016
Geophysics (2016) 81 (5): C205–C218.
... distribution modeled from stochastic rock-physics modeling. The procedure of building the rock-physics prior information and the improvements using these extra constraints were tested on a Gulf of Mexico data set. The inverted vertical transverse isotropic model not only better focused the seismic image...
FIGURES
First thumbnail for: Integrated VTI <span class="search-highlight">mode...
Second thumbnail for: Integrated VTI <span class="search-highlight">mode...
Third thumbnail for: Integrated VTI <span class="search-highlight">mode...
Journal Article
Published: 10 March 2015
Bulletin of the Seismological Society of America (2015) 105 (2A): 657–675.
.... , 2014 ), to employ the NAD and NAID operators for spatial discretization two different stages of NSPRK (2,4). In this article, NSPRK (2,4) is applied to simulate wave propagation in several common models, including a layered model, fluid‐filled fractures, and vertical transversely isotropic...
FIGURES
First thumbnail for: A Low‐Dispersive Symplectic Partitioned Runge–Kutt...
Second thumbnail for: A Low‐Dispersive Symplectic Partitioned Runge–Kutt...
Third thumbnail for: A Low‐Dispersive Symplectic Partitioned Runge–Kutt...
Journal Article
Journal: Geophysics
Published: 15 March 2016
Geophysics (2016) 81 (2): R45–R55.
...Figure 1. Vertical transversely isotropic model used in demonstration of wavefield reconstruction methods. (a) Density, (b) vertical P-wave velocity, (c) vertical S-wave velocity, (d)Thomsen’s parameter ϵ , and (e) Thomsen’s parameter δ . ...
FIGURES
First thumbnail for: Efficient 3D elastic full-waveform inversion using...
Second thumbnail for: Efficient 3D elastic full-waveform inversion using...
Third thumbnail for: Efficient 3D elastic full-waveform inversion using...
Journal Article
Journal: Geophysics
Published: 21 May 2014
Geophysics (2014) 79 (3): WA59–WA68.
...Yunyue Li; Biondo Biondi; Robert Clapp; Dave Nichols ABSTRACT Anisotropic models are needed for wave simulation and inversion where a complex geologic environment exists. We extended the theory of wave equation migration velocity analysis to build vertical transverse isotropic models. Because...
FIGURES
First thumbnail for: Wave-equation migration velocity analysis for VTI ...
Second thumbnail for: Wave-equation migration velocity analysis for VTI ...
Third thumbnail for: Wave-equation migration velocity analysis for VTI ...
Journal Article
Journal: Geophysics
Published: 25 August 2014
Geophysics (2014) 79 (5): T257–T275.
... stencil, originally developed for the (isotropic) acoustic-wave equation, is proposed to introduce vertical transverse isotropy (VTI) in the modeling without any extra computational cost. The method relies on a fourth-order wave equation, which is decomposed as the sum of a second-order elliptic-wave...
FIGURES
First thumbnail for: Computationally efficient three-dimensional acoust...
Second thumbnail for: Computationally efficient three-dimensional acoust...
Third thumbnail for: Computationally efficient three-dimensional acoust...
Image
The two‐layer models: (a) model 7 and (b) model 8. Note that a Ricker wavelet source (red star) is located at (1800 m, 1440 m) to generate seismic vibrations. TTI, tilted transversely isotropic; VTI, vertical transversely isotropic. The color version of this figure is available only in the electronic edition.
Published: 17 January 2024
Figure 6. The two‐layer models: (a) model 7 and (b) model 8. Note that a Ricker wavelet source (red star) is located at (1800 m, 1440 m) to generate seismic vibrations. TTI, tilted transversely isotropic; VTI, vertical transversely isotropic. The color version of this figure is available only
Image
Vertical slices of the slowness surfaces (left side) and wave surfaces (right side) for the second layer in four models. The particle motion for each wavesheet is indicated by vectors on the slowness surfaces. (a) Isotropic model, (b) transversely isotropic with a vertical symmetry axis (VTI), (c) vertically aligned fluid-filled fractures, (d) vertically aligned gas-filled fractures. The fracture density is 0.1, the aspect ratio is 0.001, and the normal to fracture plane is in the offset direction x. The anisotropic models display rotational symmetry around, respectively, the vertical (b) and horizontal axis [(c) and (d)].
Published: 19 July 2002
F IG . 1. Vertical slices of the slowness surfaces (left side) and wave surfaces (right side) for the second layer in four models. The particle motion for each wavesheet is indicated by vectors on the slowness surfaces. (a) Isotropic model, (b) transversely isotropic with a vertical symmetry axis
Image
Well A. Track 5, C44 and C55 = vertical stiffness coefficients, C66 = horizontal stiffness coefficient. Track 6, anisotropy classification in which white = isotropic, blue = vertical transverse isotropy (VTI), and red = horizontal transverse isotropy (HTI). Track 7, Thomsen’s gamma. When C44 = C55, negative gamma may indicate fractures. Track 8, vertical and horizontal dynamic Young’s modulus. Track 9, vertical and horizontal Poisson’s ratio. Track 10, vertical and horizontal static Young’s modulus. Track 11, isotropic and anisotropic minimum horizontal stress gradient (uncalibrated). Track 12, minimum horizontal stress gradient and minimum horizontal stress (uncalibrated). These outputs may be used qualitatively to estimate hydraulic fracture containment or calibrated with a mechanical earth model for use in hydraulic fracture stimulation design.
Published: 18 April 2016
Figure 21. Well A. Track 5, C44 and C55 = vertical stiffness coefficients, C66 = horizontal stiffness coefficient. Track 6, anisotropy classification in which white = isotropic, blue = vertical transverse isotropy (VTI), and red = horizontal transverse isotropy (HTI). Track 7, Thomsen’s gamma
Journal Article
Journal: Geophysics
Published: 01 October 1993
Geophysics (1993) 58 (10): 1442–1453.
...Ken L. Larner Abstract Levin modeled the moveout, within common-midpoint (CMP) gathers, of reflections from plane-dipping reflectors beneath homogeneous, transversely isotropic media. For some media, when the axis of symmetry for the anisotropy was vertical, he found departures in stacking velocity...
Image
Map view of relative wavespeed perturbations at 100 km depth; station locations are indicated by black triangles. Model perturbations are relative to the 1D transversely isotropic model STW105. (a) Compressional wavespeed perturbations, dlnα. (b) Isotropic shear‐wavespeed perturbations, dlnβ. (c) Horizontally polarized shear‐wavespeed perturbations, dlnβh. (d) Vertically polarized shear‐wavespeed perturbations, dlnβv.
Published: 03 May 2024
Figure 10. Map view of relative wavespeed perturbations at 100 km depth; station locations are indicated by black triangles. Model perturbations are relative to the 1D transversely isotropic model STW105. (a) Compressional wavespeed perturbations, d ln α . (b) Isotropic shear‐wavespeed
Image
(a) The 3D vertical transversely isotropic (VTI) model with surface topography. In addition, we show the snapshots of the velocity in x‐direction at t = 0.6 s for (b) the 3D VTI model, and (c) the two cross sections with y = 2 km and x = 2 km.
Published: 09 March 2022
Figure 22. (a) The 3D vertical transversely isotropic (VTI) model with surface topography. In addition, we show the snapshots of the velocity in x ‐direction at t = 0.6 s for (b) the 3D VTI model, and (c) the two cross sections with y = 2 km and x = 2 km.
Image
Azimuth-sectored stack gathers, synthetic data. (a) Radial component. (b) Transverse component. The vertical bars to the left in (a) identify the layers of the model in terms of the two-way vertical C-wave traveltime (HTI=black, isotropic=gray).
Published: 30 December 2008
Figure 3. Azimuth-sectored stack gathers, synthetic data. (a) Radial component. (b) Transverse component. The vertical bars to the left in (a) identify the layers of the model in terms of the two-way vertical C-wave traveltime ( HTI = black , isotropic = gray ).
Image
(a) Plot of the vertical wavenumber, kz, as a function of midpoint wavenumber and angle gather for a dip-constrained transversely isotropic (DTI) model with 2NMO velocity, v=2.0km∕s, titled direction velocity, vT=1.8km∕s, and η=0.3 and (b) the difference in kz between the DTI model and an isotropic model with v=1.8km∕s. The wavenumbers are given in units of km−1.
Published: 26 May 2010
Figure 4. (a) Plot of the vertical wavenumber, k z , as a function of midpoint wavenumber and angle gather for a dip-constrained transversely isotropic (DTI) model with 2NMO velocity, v = 2.0 km ∕ s , titled direction velocity, v T = 1.8 km ∕ s , and η