Bumps on the core-mantle boundary - Are they facts or artifacts?

Mathematics – Logic

Scientific paper

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Boundaries, Earth Core, Earth Mantle, Seismology, Structural Properties (Geology), Gaps, Imaging Techniques, Least Squares Method, Mathematical Models, Spherical Harmonics, Tomography

Scientific paper

Large structure in tomographic images of the core-mantle boundary (CMB) found by fitting low-degree spherical harmonic models to International Seismological Centre travel time data by linear least squares may be artifacts of the fitting procedure rather than necessary features of earth. It is shown here that a common imaging procedure (fitting low-degree models to the data by least squares using linearized ray theory) tends to produce spurious structure related to the inhomogeneous sampling of the CMB by travel time data. This occurs in the presence of noise even when the true structure is smooth. Thus, the fact that travel times measure volume integrals greater than path integrals of velocity structure is not enough to guarantee that low-degree least squares models reflect the low-degree structure of the CMB.

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