Unconstrained direct Dix-type inversion in a layered VTI medium

Stovas, Alexey

doi:10.1088/1742-2132/8/1/001

J. Geophys. Eng.

2010

DOI: 10.1088/1742-2132/8/1/001

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Unconstrained direct Dix-type inversion in a layered VTI medium

Alexey Stovas¹

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Cited by 3 publications

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From Geophysics to Microgeophysics for Engineering and Cultural Heritage

Cosentino

Capizzi

Martorana

et al. 2011

International Journal of Geophysics

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The methodologies of microgeophysics have been derived from the geophysical ones, for the sake of solving specific diagnostic and/or monitoring problems regarding civil engineering and cultural heritage studies. Generally, the investigations are carried out using different 2D and 3D tomographic approaches as well as different energy sources: sonic and ultrasonic waves, electromagnetic (inductive and impulsive) sources, electric potential fields, and infrared emission. Many efforts have been made to modify instruments and procedures in order to improve the resolution of the surveys as well as to significantly reduce the time of the measurements without any loss of information. This last point has been achieved by using multichannel systems. Finally, some applications are presented, and the results seem to be very promising and promote this new branch of geophysics. Therefore, these methodologies can be used even more to diagnose, monitor, and safeguard not only engineering buildings and/or large structures, but also ancient monuments and cultural artifacts, such as pottery, statues, and so forth.

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From Geophysics to Microgeophysics for Engineering and Cultural Heritage

Cosentino

Capizzi

Martorana

et al. 2011

International Journal of Geophysics

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Velocity-independent τ-p moveout in a horizontally layered VTI medium

Casasanta

Fomel

2011

GEOPHYSICS

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Local slopes of seismic events carry complete information about the structure of the subsurface. This information is sufficient for accomplishing all time-domain imaging tasks, without the need to estimate or know the seismic velocity model. We develop a velocity-independent τ-p imaging approach to perform moveout correction in horizontally-layered VTI media. The effective and interval anisotropic parameters turn into data attributes through the use of slopes and become directly mappable to the zero-slope traveltime. The τ-p transform is the natural domain for anisotropy parameter estimation in layered media, because the phase velocity is given explicitly in terms of p. Therefore, the τ-p transform allows for reflection-traveltime modeling and inversion that are simpler than traditional methods based on Taylor-series expansions of traveltime in t-X domain. Synthetic and field data tests demonstrate the practical effectiveness of our method.

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Extension of the kinematic approximations to the multilayered elastic orthorhombic medium

Stovas

2021

GEOPHYSICS

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Understanding the kinematics of horizontally-layered reservoir rocks is important to their proper characterization and to accomplish this it is necessary to specify the explicit model for these kinematic properties. The accurate approximations for traveltime and relative geometrical spreading in an elastic homogeneous orthorhombic (ORT) have been investigated with different forms: Shifted Hyperbola Form (SHF), Taylor Series (TS) and the Rational Form (RF). This paper extends these approximations to the multi-layered ORT model by adopting composite coefficients and effective model parameters. The multi-layered model is characterized without and with the azimuthal variation among layers. There is an overdetermined problem when the azimuthal variation exists; and to address that case, the Least Squares Method (LSM) is adopted. To check the feasibility of the expansion, we select the SHF (Shifted Hyperbola Form) approximation specified in the homogeneous elastic ORT model for the calculation in the numerical example. Four groups of examples are analyzed to investigate the influence on the accuracy of the approximation with the change in rotation angle, degree of anisotropy, and the direction of the orientation. The results indicate that, for the multi-layer, the accuracy of the approximation is proportional to the degree of anisotropy and the value of the angle of rotation. The relative errors in travel time and relative geometrical spreading in this multi-layered extension are very small and can be implemented in practical applications

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Unconstrained direct Dix-type inversion in a layered VTI medium

Cited by 3 publications

References 19 publications

From Geophysics to Microgeophysics for Engineering and Cultural Heritage

From Geophysics to Microgeophysics for Engineering and Cultural Heritage

Velocity-independent τ-p moveout in a horizontally layered VTI medium

Extension of the kinematic approximations to the multilayered elastic orthorhombic medium

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