Evolution of uranogenic and thorogenic lead, 1. A dynamic model of continuous isotopic evolution

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Chemical Evolution, Lead Isotopes, Mathematical Models, Dynamic Models, Thorium Isotopes, Uranium Isotopes

Scientific paper

On the basis of the simple assumption that the rate of change of the ratios mu = U-238/Pb-204 and W = Th-232/Pb-204 (present-day values) increased initially, and, after attaining a maximum, began to decrease due to surface cooling of the earth, a dynamical model is proposed for the continuous isotopic evolution of uranogenic and thorogenic lead. The time t(m) when the mu and W rates of change attained their maximums is a model parameter, depending on the age of formation of different layers of the crust, or, in mixing processes, on the participation of materials from the older or younger crust and mantle. This is describable by a two-stage function which is the product of a linear and an exponential function. From the isotopic ratios of a lead sample, it is possible to determine the two model ages, and the parameter t(m), as well as another parameter T, which is related to t(m).

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