Search results for "Shear wave splitting"

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Unique continuation of the normal operator of the x-ray transform and applications in geophysics

2020

We show that the normal operator of the X-ray transform in $\mathbb{R}^d$, $d\geq 2$, has a unique continuation property in the class of compactly supported distributions. This immediately implies uniqueness for the X-ray tomography problem with partial data and generalizes some earlier results to higher dimensions. Our proof also gives a unique continuation property for certain Riesz potentials in the space of rapidly decreasing distributions. We present applications to local and global seismology. These include linearized travel time tomography with half-local data and global tomography based on shear wave splitting in a weakly anisotropic elastic medium.

FOS: Physical sciencesx-ray transformSpace (mathematics)01 natural sciencesTheoretical Computer SciencePhysics - GeophysicsContinuationtomografiaClassical Analysis and ODEs (math.CA)FOS: MathematicsNormal operatorUniqueness0101 mathematicsAnisotropyMathematical PhysicsMathematicsX-ray transformgeophysicsApplied Mathematics010102 general mathematicsMathematical analysisgeofysiikkaShear wave splittingInverse problemFunctional Analysis (math.FA)Geophysics (physics.geo-ph)Computer Science ApplicationsMathematics - Functional Analysis010101 applied mathematicsMathematics - Classical Analysis and ODEsSignal ProcessingInverse Problems
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Strong intracontinental lithospheric deformation in South China: Implications from seismic observations and geodynamic modeling

2014

Abstract Classical plate tectonics theory predicts concentrated deformation at plate boundaries and weak deformation within plates. Yet, the existence of intracontinental orogens shows that highly deformed regions can occur within continental plates, which is geodynamically incompletely understood. Shear wave splitting measurements in South China show belt-parallel (i.e. NE–SW) fast directions beneath the Wulingshan-Xuefengshan Belts, while no dominant fast direction is found in the cratonic Sichuan Basin. Tomographic studies in the mantle in the same area show that the thickness of lithosphere beneath the intracontinental orogen is larger than that beneath the cratonic Sichuan Basin. In or…

geographygeography.geographical_feature_category010504 meteorology & atmospheric sciencesGeologyShear wave splittingCrustStructural basin010502 geochemistry & geophysics01 natural sciencesMantle (geology)CratonPlate tectonics13. Climate actionLithosphereAnisotropyGeologySeismology0105 earth and related environmental sciencesEarth-Surface ProcessesJournal of Asian Earth Sciences
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