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oa Nonlinear estimation of thomsen anisotropy parameters in TI media
- Australian Society of Exploration Geophysicists
- Source: ASEG Extended Abstracts, Volume 2009, Issue ASEG2009 - 20th Geophysical Conference, Dec 2009, p. 1 - 9
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- 01 Dec 2009
Abstract
Introduction
Transverse isotropy with the horizontal axis of symmetry (HTI) is the simplest anisotropic model to characterize a geological formation with vertical fractures. We formulate an azimuthally dependent parametric equation for P-wave traveltimes in a layered HTI medium. Also, assuming a known vertical velocity model, we estimate simultaneously the fracture orientation and Thomsen’s anisotropy parameters in a stack of horizontal layers using a modified preconditioning conjugate gradient algorithm. In a numerical example, we show that in the context of weak anisotropy, Thomsen’s anisotropy parameters ( δ and ε ) and fracture orientation can be efficiently estimated using the P-wave traveltimes without a prior information.
© 2009 ASEG