publication . Article . 2015

An analytical solution for the elastic response to surface loads imposed on a layered, transversely isotropic and self-gravitating Earth

E. Pan; J.Y. Chen; M. Bevis; A. Bordoni; V.R. Barletta; A. Molavi Tabrizi;
Open Access English
  • Published: 05 Nov 2015
  • Country: Denmark
Abstract
We present an analytical solution for the elastic deformation of an elastic, transversely isotropic, layered and self-gravitating Earth by surface loads. We first introduce the vector spherical harmonics to express the physical quantities in the layered Earth. This reduces the governing equations to a linear system of equations for the expansion coefficients. We then solve for the expansion coefficients analytically under the assumption (i.e. approximation) that in the mantle, the density in each layer varies as 1/r (where r is the radial coordinate) while the gravity is constant and that in the core the gravity in each layer varies linearly in r with constant d...
Subjects
arXiv: Physics::Geophysics
free text keywords: Composition of the planets, Elasticity and anelasticity, Dynamics, Gravity and tectonics, Mechanics, theory and modelling, Planetary interiors, Geophysics, Elasticity (economics), Transverse isotropy, Mechanics, Geology
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