Statistics – Computation
Scientific paper
Dec 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995e%26psl.136...87b&link_type=abstract
Earth and Planetary Science Letters, vol. 136, Issue 3-4, pp.87-96
Statistics
Computation
8
Scientific paper
Modelling of geochemical alteration profiles (e.g., in 18 O or 87 Sr/ 86 Sr) resulting from fluid infiltration has provided important constraints on the volumes of fluid that move through the crust during metamorphism. These models consider that alteration results from a combination of advection with diffusion and/or kinetically limited solid-fluid exchange. Models incorporating advection and one of the two broadening mechanisms have analytical solutions, whilst the three-parameter solution does not. Given a particular alteration profile it is, therefore, important from a computational point of view to determine whether use of the more comples three-parameter model places tighter limits on the characteristics of the fluid infiltration event. In this paper we address this problem through modelling of a measured oxygen isotope alteration profile from Naxos, Greece. For each end-member model, we calculate a set of `best-fit' parameters, emphasising which features of the data control the fit of each of the models. We then consider numerical solutions which allow all three processes to operate, and conduct a grid search in parameter space to map out the structure of the variance between the model and data. While it is not possible to distinguish a single combination of the three processes that produces a strong global minimum in variance, we can distinguish a family of solutions which are equally valid, and we use this `minimum variance' family to place bounds on the time scales, fluid velocity and porosity characteristic of the fluid alteration event.
Baker Judy
Spiegelman Marc
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