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Inverse eigenvalue problems for the mantle
Authors:Ole H Hald
Institution:Department of Mathematics, University of California, Berkeley, California 94720, USA
Abstract:Summary. It is shown that if Adams—Williamson's equation is used in the lower mantle and if the mass of the core and the density at the core—mantle boundary are given then the density, the rigidity and the incompressibility are uniquely determined throughout the mantle and in the crust by the velocities of the P - and S -waves and by one torsional spectrum. The velocity of the S -waves in the upper mantle and in the crust can be replaced by an additional torsional spectrum.
Keywords:
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