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General equations for modeling fluid/rock interaction using trace elements and isotopes
Institution:1. Department of Ophthalmology, University of Colorado, Aurora;2. Rosalind Franklin University of Medicine and Science–Chicago Medical School, North Chicago, Illinois;3. Department of Rheumatology, University of Colorado, Aurora;4. Department of Genetics and Metabolism, University of Colorado, Aurora;1. State Key Laboratory of Ore Deposit Geochemistry, Institute of Geochemistry, Chinese Academy of Sciences, Guiyang 550081, China;2. University of Chinese Academy of Sciences, Beijing 100049, China;3. ISTO, UMR 7327 CNRS-Université d’Orléans-BRGM, 45071 Orléans, France;1. Ecohydrology Research Group, Department of Earth and Environmental Sciences and Water Institute, University of Waterloo, Waterloo, Canada;2. Department of Earth Sciences, Utrecht University, Budapestlaan 4, 3584 CD Utrecht, The Netherlands;3. Geology Department, MC-102, University of Illinois, Urbana-Champaign, Urbana, IL 61801, USA;1. State Key Laboratory of Lithospheric Evolution, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China;2. University of Chinese Academy of Sciences, Beijing 100049, China;3. Key Laboratory of Mineral Resources, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China;4. Department of Earth Sciences, University of Adelaide, Adelaide, SA 5005, Australia;5. School of Earth Sciences and Resources, China University of Geosciences Beijing, 29 Xueyuan Road, Beijing 100083, China;1. Centre de Recherches Pétrographiques et Géochimiques, UMR 7358, Université de Lorraine, 54501 Vandoeuvre-lès-Nancy, France;2. School of Physical Sciences, University of Tasmania, Private Bag 79, Hobart, TAS 7001, Australia;3. School of Earth and Ocean Sciences, Cardiff University, Park Place, Cardiff, CF10 3AT, UK
Abstract:General equations for modeling open and closed system fluid/rock interaction using trace elements and isotopes are presented. Taylor's (1977) open system equation for stable isotopes is extended to account for a change in the Δ value between rock and fluid during interaction. It is shown that hydrothermal systems in which fractionation factors vary during fluid/rock interaction will significantly alter the isotopic ratios of rocks compared to equivalent systems with invariant fractionation factors. The equations for modeling trace element exchange are analogous to the stable isotope equations and permit the calculation of fluid/rock ratios using changes in trace element concentrations in the rock. Similarly to stable isotope exchange, the change of the trace element concentration in a rock during infiltration is a function of the trace element concentration in the fluid, the fluid/rock partition coefficient and the fluid/rock ratio rather than simply the concentration of the trace element in the fluid.
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