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Diffusion control of quartz and forsterite dissolution rates
Affiliation:1. Applied Research Center, Florida International University, 10555 W. Flagler Street, Miami, FL 33174, USA;2. Pacific Northwest National Laboratory, PO Box 999, K3-62, Richland, WA 99352, USA;1. Helmholtz-Zentrum Potsdam, Deutsches GeoForschungsZentrum, Telegrafenberg, 14473 Potsdam, Germany;2. Department of Earth and Space Sciences, Osaka University, Japan;3. ISTerre, Université Grenoble-Alpes, France;4. Center for Deep Earth Exploration, Japan Agency for Marine-Earth Science and Technology, Yokohama, Japan;1. Department of Chemical and Petroleum Engineering, Sharif University of Technology, Tehran, Iran;2. Department of Petroleum Engineering, School of Chemical and Petroleum Engineering, Shiraz University, Shiraz, Iran;3. Formation Damage and Well Treatment Research Group, IOR/EOR Research Institute, Shiraz University, Shiraz, Iran;4. Petroleum Engineering Research Division, Research Institute of Petroleum Industry, Tehran, Iran;1. Earth and Environmental Systems Institute, 2217 EES Building, Pennsylvania State University, University Park, PA 16802, United States;2. Los Alamos National Laboratory, Mail Stop D446, Los Alamos, NM 87545, United States;3. U.S. Department of Energy, National Energy and Technology Laboratory, 626 Cochrans Mill Road, Pittsburgh, PA 15236, United States;1. Laboratoire d’Hydrologie et de Géochimie de Strasbourg, Université de Strasbourg/EOST, CNRS, 67084 Strasbourg, France;2. Earth Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
Abstract:An established engineering model is used to identify conditions where diffusion controls the dissolution of quartz and forsterite in packed beds. The model shows that diffusion control is favored at low advection flux, large grain size, high temperature, and high pH (if the reaction consumes H+). Quartz dissolution is chemical reaction controlled for most geochemically reasonable combinations of temperature, grain size, and flow rate. On the other hand, forsterite dissolution rates can be diffusion controlled for typical advection fluxes, grain sizes, temperatures, and pH’s. The apparent activation energy for diffusion-controlled reactions in a packed bed is much higher than the <∼20 kJ/mol value that is often used to identify diffusion controlled reactions. The models are quite general and can be adapted to deal with other mineral dissolution and precipitation reactions.
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