Isostasy with Love – I: elastic equilibrium
نویسندگان
چکیده
Isostasy explains why observed gravity anomalies are generally much weaker than what is expected from topography alone, and planetary crusts can support high without breaking up. Classical isostasy, however, neglects internal stresses geoid contributions to topographical support, yields ambiguous predictions of anomalies. should instead be defined either by minimizing deviatoric elastic within the shell, or studying dynamic response body in long-time limit. I implement here first option formulating Airy isostatic equilibrium as an shell surface loads. Isostatic ratios terms Love numbers which quantify deviations with respect a fluid state. The number approach separates physics isostasy technicalities elastic-gravitational spherical deformations, provides flexibility choice interior structure. Since invariant under global rescaling shear modulus, it limit, reveals deep connection viscous isostasy. If homogeneous, minimum stress dual variant called zero deflection less physical but simpler compute. Each model combined general boundary conditions applied at bottom resulting one-parameter families. At long wavelength, influence disappears all families members yield same ratios. short supported shallow so that becomes similar pure top loading. incompressible bodies three homogeneous layers implemented freely available software.
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ژورنال
عنوان ژورنال: Geophysical Journal International
سال: 2021
ISSN: ['1365-246X', '0956-540X']
DOI: https://doi.org/10.1093/gji/ggab073