Exact Analytical Solutions for Kinetic Equations Describing Thermochemical Remanence Acquisition for Single-Domain Grains: Implications for Absolute Paleointensity Determinations
Авторы: Shcherbakov V. P., Lhuillier F., Sycheva N. K.
2020 г.
JGR Solid Earth
The magnetic record, preserved by igneous rocks in the form of thermoremanent
magnetization (TRM) or thermo-chemical remanent magnetization (TCRM), is essential to reconstruct
Earth's absolute paleointensity (API) but strongly depends on the kinetic conditions in which the
remanence was acquired. In this paper, we present exact analytical solutions describing the timedependent processes of acquisition and thermal demagnetization of various kinds of thermally activated
remanences for non-interacting single-domain grains with uniaxial shape anisotropy. Our solutions,
derived in less-restrictive conditions than previous studies, are also valid for TCRMs acquired either by
growth of grain volume or by increase of the Curie point Tc. We first show that TCRMs by Tc increase and
TRMs are of comparable intensity whereas TCRMs by volume growth are significantly less intense. We
then model Arai-Nagata diagrams for assemblies of coercivity-variable grains and find that all Thelliertype protocols yield reliable API determinations for TRMs and TCRMs by Tc increase, with the peculiarity
of the IZZI protocol to produce small zigzags in the Arai-Nagata diagram. In contrast, TCRMs by volume
growth yield convex Arai-Nagata diagrams. The most conspicuous kinetic effect is the influence of
cooling rate on API determinations due to a ∼5% increase of the remanent magnetization for a 10-fold
increase in cooling time. We show that the situation is problematic when the cooling time of natural
samples coincides with the geomagnetic secular-variation time scales. Natural samples with cooling times
sufficient to average out secular variation conversely yield reliable API determinations provided a coolingrate correction is applied.
Файл: 1057.pdf
|