High resolution tilted-orthorhombic tomographic inversion to improve velocity modeling and imaging: a case study of its impact on subsalt

Tiwari, Dhananjay; Hilburn, Guy; He, Yunhui; Li, Yining; Sherrill, Francis; Guo, Zhiqiang

doi:10.1190/segam2015-5922279.1

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Anisotropic Eikonal Equations1

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Cited by 10 publications

(1 citation statement)

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“…The ORT and TOR materials have three mutually orthogonal planes of mirror symmetry. In previous studies, the eikonal equations for the ORT and TOR media have been applied in simulating seismic wave propagation through cracked media that contain small fractures or microcracks [102][103][104][105][106].…”

Section: Anisotropic Eikonal Equationsmentioning

confidence: 99%

Improved fast marching methods with application in traveltime tomography

Qi¹

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Section: Anisotropic Eikonal Equationsmentioning

confidence: 99%

Improved fast marching methods with application in traveltime tomography

Qi¹

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Multi-stencils fast marching method for factored eikonal equations with quadratic anisotropy

2022

Applied Mathematics and Computation

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3D mapping of kinematic attributes in anisotropic media

Ivanov

Stovas

2019

GEOPHYSICS

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Based on the rotation of a slowness surface in anisotropic media, we have derived a set of mapping operators that establishes a point-to-point correspondence for the traveltime and relative-geometric-spreading surfaces between these calculated in nonrotated and rotated media. The mapping approach allows one to efficiently obtain the aforementioned surfaces in a rotated anisotropic medium from precomputed surfaces in the nonrotated medium. The process consists of two steps: calculation of a necessary kinematic attribute in a nonrotated, e.g., orthorhombic (ORT), medium, and subsequent mapping of the obtained values to a transformed, e.g., rotated ORT, medium. The operators we obtained are applicable to anisotropic media of any type; they are 3D and are expressed through a general form of the transformation matrix. The mapping equations can be used to develop moveout and relative-geometric-spreading approximations in rotated anisotropic media from existing approximations in nonrotated media. Although our operators are derived in case of a homogeneous medium and for a one-way propagation only, we discuss their extension to vertically heterogeneous media and to reflected (and converted) waves.

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High resolution tilted-orthorhombic tomographic inversion to improve velocity modeling and imaging: a case study of its impact on subsalt

Cited by 10 publications

References 12 publications

Improved fast marching methods with application in traveltime tomography

Improved fast marching methods with application in traveltime tomography

Multi-stencils fast marching method for factored eikonal equations with quadratic anisotropy

3D mapping of kinematic attributes in anisotropic media

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