THE SPACE-TIME DOMAIN: THEORY AND MODELLING FOR ANISOTROPIC MEDIA
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dc.contributor.author | Alkhalifah T. | |
dc.contributor.author | Fomel S. | |
dc.contributor.author | Biondi A.B. | |
dc.date.accessioned | 2021-03-18T00:36:56Z | |
dc.date.available | 2021-03-18T00:36:56Z | |
dc.date.issued | 2001 | |
dc.identifier | https://www.elibrary.ru/item.asp?id=1205000 | |
dc.identifier.citation | Geophysical Journal International, 2001, 144, 1, 105-113 | |
dc.identifier.issn | 0956-540X | |
dc.identifier.uri | https://repository.geologyscience.ru/handle/123456789/26861 | |
dc.description.abstract | In transversely isotropic media with a vertical axis of symmetry (VTI media), we represent the image in vertical time, as opposed to depth, thus eliminating the inherent ambiguity of resolving the vertical P-wave velocity from surface seismic data. In this new (x-τ)-domain, the ray tracing and eikonal equations are completely independent of the vertical P-wave velocity, with the condition that the ratio of the vertical to normal-moveout (NMO) P-wave velocity (α) is laterally invariant. Moderate size departures of α from lateral homogeneity affect traveltimes only slightly. As a result, for all practical purposes, the VTI equations in the (x-τ)-domain become dependent on only two parameters in laterally inhomogeneous media: the NMO velocity for a horizontal reflector, and an anisotropy parameter, η. An acoustic wave equation in the (x-τ)-domain is also independent of the vertical P-wave velocity. It includes an asymmetric Laplacian operator to accommodate the unbalanced axis units in this new domain. In summary, we have established the basis for a full inhomogeneous time-processing scheme in VTI media that is dependent on only v and η, and independent of the vertical P-wave velocity. | |
dc.subject | ANISOTROPY | |
dc.subject | MODELLING | |
dc.subject | TRAVELTIME | |
dc.title | THE SPACE-TIME DOMAIN: THEORY AND MODELLING FOR ANISOTROPIC MEDIA | |
dc.type | Статья |
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