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    Scanning anisotropy parameters in horizontal transversely isotropic media

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    Type
    Article
    Authors
    Masmoudi, Nabil cc
    Stovas, Alexey
    Alkhalifah, Tariq Ali cc
    KAUST Department
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Seismic Wave Analysis Group
    Date
    2016-10-05
    Online Publication Date
    2016-10-05
    Print Publication Date
    2017-07
    Permanent link to this record
    http://hdl.handle.net/10754/622599
    
    Metadata
    Show full item record
    Abstract
    The horizontal transversely isotropic model, with arbitrary symmetry axis orientation, is the simplest effective representative that explains the azimuthal behaviour of seismic data. Estimating the anisotropy parameters of this model is important in reservoir characterisation, specifically in terms of fracture delineation. We propose a travel-time-based approach to estimate the anellipticity parameter η and the symmetry axis azimuth ϕ of a horizontal transversely isotropic medium, given an inhomogeneous elliptic background model (which might be obtained from velocity analysis and well velocities). This is accomplished through a Taylor's series expansion of the travel-time solution (of the eikonal equation) as a function of parameter η and azimuth angle ϕ. The accuracy of the travel time expansion is enhanced by the use of Shanks transform. This results in an accurate approximation of the solution of the non-linear eikonal equation and provides a mechanism to scan simultaneously for the best fitting effective parameters η and ϕ, without the need for repetitive modelling of travel times. The analysis of the travel time sensitivity to parameters η and ϕ reveals that travel times are more sensitive to η than to the symmetry axis azimuth ϕ. Thus, η is better constrained from travel times than the azimuth. Moreover, the two-parameter scan in the homogeneous case shows that errors in the background model affect the estimation of η and ϕ differently. While a gradual increase in errors in the background model leads to increasing errors in η, inaccuracies in ϕ, on the other hand, depend on the background model errors. We also propose a layer-stripping method valid for a stack of arbitrary oriented symmetry axis horizontal transversely isotropic layers to convert the effective parameters to the interval layer values.
    Citation
    Masmoudi N, Stovas A, Alkhalifah T (2016) Scanning anisotropy parameters in horizontal transversely isotropic media. Geophysical Prospecting. Available: http://dx.doi.org/10.1111/1365-2478.12464.
    Sponsors
    The authors would like to thank KAUST and Rose project for their support. They would also like to thank Igor Ravve and an anonymous reviewer for their comments and suggestions that helped improve this paper.
    Publisher
    Wiley
    Journal
    Geophysical Prospecting
    DOI
    10.1111/1365-2478.12464
    Additional Links
    http://onlinelibrary.wiley.com/doi/10.1111/1365-2478.12464/abstract
    ae974a485f413a2113503eed53cd6c53
    10.1111/1365-2478.12464
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program

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