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Quantifying Intrinsic and Extrinsic Contributions to Seismic Anisotropy in Tomographic Models
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  • John Keith Magali,
  • Thomas Bodin,
  • Navid Hedjazian,
  • Yanick Ricard,
  • Yann Capdeville,
  • Eric Debayle
John Keith Magali
Univ Lyon, Univ Lyon 1, ENSL, UJM-Saint-Etienne, CNRS, LGL-TPE, F-69622, Villeurbanne, France

Corresponding Author:[email protected]

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Thomas Bodin
Univ Lyon, Univ Lyon 1, ENSL, UJM-Saint-Etienne, CNRS, LGL-TPE, F-69622, Villeurbanne, France
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Navid Hedjazian
Univ Lyon, Univ Lyon 1, ENSL, UJM-Saint-Etienne, CNRS, LGL-TPE, F-69622, Villeurbanne, France
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Yanick Ricard
Univ Lyon, Univ Lyon 1, ENSL, UJM-Saint-Etienne, CNRS, LGL-TPE, F-69622, Villeurbanne, France
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Yann Capdeville
Laboratoire de Planétologie et Géodynamique, CNRS, UMR 6112, Université de Nantes, F-44322, Nantes, Cedex 3, France.
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Eric Debayle
Univ Lyon, Univ Lyon 1, ENSL, UJM-Saint-Etienne, CNRS, LGL-TPE, F-69622, Villeurbanne, France
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Abstract

Seismic anisotropy in the Earth’s mantle inferred from seismic observations is usually interpreted either in terms of intrinsic anisotropy due to Crystallographic Preferred Orientation (CPO) of minerals, or extrinsic anisotropy due to rock-scale Shape Preferred Orientation (SPO). The coexistence of both contributions misconstrues the origins of seismic anisotropy observed in seismic tomography models. It is thus essential to discriminate CPO from SPO. Homogenization/upscaling theory provides means to achieve this goal. This theory enables to compute the effective elastic properties of a heterogeneous medium, as seen by long-period waves. In this work, we investigate the effects of upscaling an intrinsically anisotropic and highly heterogeneous Earth’s mantle. We show analytically in 1-D that the full effective radial anisotropy ξ * is approximately the product of the effective intrinsic radial anisotropy ξ * CPO and the extrinsic radial anisotropy ξ * SPO : ξ * ≈ ξ * CPO x ξ * SPO. This law is verified numerically in the case of a 2-D marble cake model of the mantle with a binary composition, and in the presence of CPO obtained from a micro-mechanical model of olivine deformation. We compute the long-wavelength effective equivalent of this mantle model using the 3-D non-periodic elastic homogenization technique. Our numerical findings predict that for wavelenghts smaller than the scale of deformation patterns, tomography may overestimate the true anisotropy (i.e. intrinsic anisotropy due to CPO) due to significant SPO-induced extrinsic anisotropy. However, at wavelenghts larger than deformation patterns, intrinsic anisotropy is always underestimated in tomographic models due to the spatial averaging of the preferred orientation of anisotropic minerals. Thus, we show that it is imperative to homogenize a CPO evolution model first before drawing comparisons with tomographic models. As a demonstration, we use our composite law with a homogenized CPO model of a plate-driven flow underneath a mid-ocean ridge, to estimate the SPO contibution to an existing tomographic model of radial anisotropy.