Cratering and cosmogenic nuclides

Details Cratering and cosmogenic nuclides Cratering and cosmogenic nuclides

Nov 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975georl...2..477b&link_type=abstract

Geophysical Research Letters, vol. 2, Nov. 1975, p. 477-479

Computer Science

Numerical Analysis

2

Cosmic Rays, Cratering, Nuclides, Planetary Surfaces, Mathematical Models, Numerical Analysis, Vertical Distribution

Scientific paper

A simple probabilistic model was constructed for the average value of a cosmogenic nuclide as a function of depth in a regolith. An arbitrary function was chosen for the size distribution of craters. The resulting integro-differential equation was found to reduce in limiting cases to the marching equation with a characteristic residence time and to the diffusion equation. The regolith diffusion constant is shown to be a simple integral of the cratering rate weighted by geometrical terms. This formal treatment provides a direct and general connection between cosmogenic nuclides and cratering rates and crater population in a simple analytical form. The validity of this model remains to be tested.

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