Continuous Thermal Histories from Inversion of Closure Profiles
Continuous Thermal Histories from Inversion of Closure Profiles
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DOI:
10.2138/rmg.2005.58.15
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发表时间:
2005
影响因子:
--
通讯作者:
T. Harrison;M. Grove;O. Lovera;P. Zeitler
中科院分区:
文献类型:
--
作者:
T. Harrison;M. Grove;O. Lovera;P. Zeitler
### Background Most geophysical processes impart a characteristic thermal signature to the crust that can be preserved in the form of isotopic variations in radiogenic minerals. Reading the record of these events using thermochronology permits unprecedented insights into the timing and rates of key dynamic processes, such as rifting, thrust faulting, tectonic denudation, erosion/incision, and magmatism, that may otherwise go unnoticed (McDougall and Harrison 1999). However, thermal disturbances are often too subtle to be revealed by conventional thermochronometric methods; i.e., interpolation of discrete temperature-time ( T - t ) points from bulk analyses using “nominal” closure temperatures. Rather, the highest resolution thermal histories require harnessing knowledge of the concentration distribution of the daughter product in the mineral of interest. In previous chapters, the case has been explored in which a mineral cooling within the crust transitions from being open to loss of daughter product to closed system behavior. Assuming a monotonic thermal history of simple form (Dodson 1973), it is then possible to use the balance between radiogenic accumulation and loss to assign a bulk closure temperature, T c, which is given by: \batchmode \documentclass[fleqn,10pt,legalpaper]{article} \usepackage{amssymb} \usepackage{amsfonts} \usepackage{amsmath} \pagestyle{empty} \begin{document} \[\frac{\mathit{E}}{\mathit{RT\_{c}}}\ =\ ln\left(\frac{\mathit{ART\_{c}}^{2}\mathit{D}_{0}/\mathit{r}^{2}}{\mathit{E\ dT/dt}}\right)\] \end{document}(1) where E is the activation energy, D is the frequency factor, R is the gas constant, T is absolute temperature, A is a geometry factor (sphere = 55, cylinder = 27, and plane sheet = 8.7), r is the effective diffusion length scale (radius or half-width), and dT / dt is cooling rate. When the T c and age of a number of coexisting mineral thermochronometers are correlated, an estimate of the temperature history can be interpolated. This method, termed the bulk closure approach, has been used for nearly 30 years (Purdy and Jager 1976; Mattinson 1978; Berger et al. 1979; Harrison et al. 1979). However, use of Equation (1) carries several stringent requirements. …