Physics
Scientific paper
Dec 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984pepi...36..291o&link_type=abstract
(International Association of Seismology and Physics of the Earth's Interior, Symposium on Quantitative Geodynamics Lithospheric
Physics
32
Convection, Earth Mantle, Energy Spectra, Statistical Distributions, Structural Properties (Geology), Autocorrelation, Fine Structure, Fourier Transformation, Heterogeneity, Histograms, Integral Equations, Lithosphere, Subduction (Geology), Transport Properties
Scientific paper
A method is proposed for relating the fine structure of mantle heterogeneity to some bulk properties of mantle convection. The approach, based on the premise that small-scale compositional heterogeneities behave like passive tracers, establishes a relationship between the variance of a scalar anomaly, its configuration at the time of subduction, its age, and the strain rate characteristics of mantle convection by adding a statistical supplement to the conventional models of mantle convection. The significant new variables are the spatial autocorrelation of the anomaly and its Fourier transform, the energy spectrum. Equations governing the time evolution of the anomaly and the transform are derived, starting with the transport-diffusion equation for the scalar anomaly. The energy spectrum equation is solved for two particular models of creep deformation, and a comparison is made with results of some numerical experiments on mixing of subducted lithospheric slabs by cellular convection.
Balsiger D.
Olson Peter
Yuen Dave A.
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