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Fast grain boundary: A FORTRAN-77 program for calculating the effects of retrograde interdiffusion of stable isotopes

Eiler, J. M. and Baumgartner, L. P. and Valley, J. W. (1994) Fast grain boundary: A FORTRAN-77 program for calculating the effects of retrograde interdiffusion of stable isotopes. Computers and Geosciences, 20 (10). pp. 1415-1434. ISSN 0098-3004. http://resolver.caltech.edu/CaltechAUTHORS:20121022-155011286

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Abstract

Exchange of stable isotopes between coexisting minerals is recognized widely as an important factor in the interpretation of stable isotope geochemistry of plutonic and high-grade metamorphic rocks. Where retrogression has occurred without major recrystallization events, the rate limiting step for stable isotope exchange will be diffusion. The mathematics of diffusion are well known for many problems, but no analytical solution, including that for closure temperature, adequately describes the complex and highly variable controls of rate and mass balance that will dominate many diffusion processes in rocks. We have implemented a model describing diffusional exchange for rocks in which grain boundary diffusion is sufficiently rapid that a representative volume of rock (typically millimeter to centimeter) is able to have mutual equilibration of all grain boundaries for the time scale of cooling. This Fast Grain Boundary model explicitly links intracrystalline diffusion rates and abundances of all minerals in a rock, and allows study of the impact of rock type on stable isotope thermometry, retrogression, and zonation. The FORTRAN-77 program for the Fast Grain Boundary model presented here can be used with a personal computer to solve typical problems in minutes. Input includes the grain size(s), model abundance(s), diffusion coefficient, and fractionation factor for each constituent mineral, and a cooling rate for the rock. Output includes the diffusion profile and integrated (bulk) composition of every mineral in a rock, as well as the apparent temperatures that would be observed by applying bulk-mineral stable isotope thermometry to such a rock.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/0098-3004(94)90102-3DOIUNSPECIFIED
http://www.sciencedirect.com/science/article/pii/0098300494901023PublisherUNSPECIFIED
Additional Information:© 1994 Elsevier Science Ltd. Received 20 July 1993; accepted 20 May 1994; Available online 31 March 2003. This code was developed and run on a Macintosh 11-ci using an MPW compiler and language systems FORTRA 3.0.1. This work was supported by an NSF Graduate Fellowship to JME and NSF grants EAR- 9105709 (JWV) and EAR-9106313 (LPB). Thanks are due to Jean Bahr, Herb Wang, and Martha Gerdes for helpful discussions on this work. This manuscript and the program described were improved by two thorough and helpful anonymous reviews.
Funders:
Funding AgencyGrant Number
NSF Graduate Research FellowshipUNSPECIFIED
NSFEAR-9105709
NSFEAR-9106313
Subject Keywords: Diffusion; Stable isotopes; Retrogression; Thermometry; Finite difference
Record Number:CaltechAUTHORS:20121022-155011286
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20121022-155011286
Official Citation:J.M. Eiler, L.P. Baumgartner, J.W. Valley, Fast grain boundary: A FORTRAN-77 program for calculating the effects of retrograde interdiffusion of stable isotopes, Computers & Geosciences, Volume 20, Issue 10, December 1994, Pages 1415-1434, ISSN 0098-3004, 10.1016/0098-3004(94)90102-3. (http://www.sciencedirect.com/science/article/pii/0098300494901023)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:35015
Collection:CaltechAUTHORS
Deposited By: Aucoeur Ngo
Deposited On:23 Oct 2012 14:45
Last Modified:23 Oct 2012 14:45

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