Treatise on Geophysics 2007
DOI: 10.1016/b978-044452748-6.00007-9
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Theory and Observations – Wave Propagation in Anisotropic Media

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Cited by 55 publications
(21 citation statements)
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“…Fortunately, anisotropy with hexagonal symmetry is a proper approximation to the materials in the Earth's crust and mantle, which can reduce the number of physical parameters describing seismic anisotropy (e.g., Christensen, 1984;Park and Yu, 1993;Maupin and Park, 2007). To further simplify the problem, we can assume the hexagonal symmetry to be horizontal when the azimuthal anisotropy is concerned in SWS measurements (e.g., Crampin, 1984;Silver, 1996;Savage, 1999;Huang et al, 2011a,b;Long, 2013) and P-wave velocity studies (e.g., Hess, 1964;Backus, 1965;Raitt et al, 1969;Hearn, 1996;Eberhart-Phillips and Henderson, 2004;Zhao, 2008, 2013); whereas we can assume the hexagonal symmetry to be vertical when the radial anisotropy is concerned in the form of a Vsh/Vsv variation (Vsh and Vsv are the velocities of shear waves polarized horizontally and vertically, respectively) in surface-wave studies (e.g., Nettles and Dziewonski, 2008;Fichtner et al, 2010;Yuan et al, 2011) and in the form of a Vph/Vpv variation (Vph and Vpv are the velocities of P-waves propagating horizontally and vertically, respectively) in P-wave velocity studies (e.g., Ishise et al, 2012;.…”
Section: P-wave Anisotropy Tomography: Methodsmentioning
confidence: 99%
“…Fortunately, anisotropy with hexagonal symmetry is a proper approximation to the materials in the Earth's crust and mantle, which can reduce the number of physical parameters describing seismic anisotropy (e.g., Christensen, 1984;Park and Yu, 1993;Maupin and Park, 2007). To further simplify the problem, we can assume the hexagonal symmetry to be horizontal when the azimuthal anisotropy is concerned in SWS measurements (e.g., Crampin, 1984;Silver, 1996;Savage, 1999;Huang et al, 2011a,b;Long, 2013) and P-wave velocity studies (e.g., Hess, 1964;Backus, 1965;Raitt et al, 1969;Hearn, 1996;Eberhart-Phillips and Henderson, 2004;Zhao, 2008, 2013); whereas we can assume the hexagonal symmetry to be vertical when the radial anisotropy is concerned in the form of a Vsh/Vsv variation (Vsh and Vsv are the velocities of shear waves polarized horizontally and vertically, respectively) in surface-wave studies (e.g., Nettles and Dziewonski, 2008;Fichtner et al, 2010;Yuan et al, 2011) and in the form of a Vph/Vpv variation (Vph and Vpv are the velocities of P-waves propagating horizontally and vertically, respectively) in P-wave velocity studies (e.g., Ishise et al, 2012;.…”
Section: P-wave Anisotropy Tomography: Methodsmentioning
confidence: 99%
“…The use of sP depth-phase in tomography can lead us to determine the 3-D velocity structure outside a seismic network (e.g., Zhao et al, 2002Zhao et al, , 2009Mishra et al, 2003;Wang and Zhao, 2005). Layering and preferred orientations as well as seismically anisotropic materials are common in the Earth's interior, which are shown by shear-wave splitting studies (for reviews, see Savage, 1999;Helbig and Thomsen, 2005;Maupin and Park, 2007). Shearwave splitting measurements have revealed strong seismic anisotropy in the Japan subduction zone (e.g., Kaneshima, 1990;Okada et al, 1995;Nakajima and Hasegawa, 2004).…”
Section: Introductionmentioning
confidence: 98%
“…Anisotropy in the Earth's upper mantle is generally attributed to lattice preferred orientation (LPO) of crystals in anisotropic minerals (e.g., olivine and pyroxene) [e.g., Hess, 1964;Savage, 1999;Mainprice, 2007]. So far, many studies have shown that the anisotropy with hexagonal symmetry is a good approximation to the rocks in the mantle [e.g., Maupin and Park, 2007;Zhao, 2009, 2013]. Previous studies of Hokkaido have generally assumed that the axis of hexagonal symmetry is horizontal and focused on P wave azimuthal anisotropy [e.g., Wang and Zhao, 2009;Liu et al, 2013;Koulakov et al, 2015].…”
Section: Introductionmentioning
confidence: 99%