Dynamics of precipitation pattern formation at geothermal hot springs
Authors: Nigel Goldenfeld (University of Illinois at Urbana-Champaign), Pak Yuen Chan (University of Illinois at Urbana-Champaign), John Veysey (University of Illinois at Urbana-Champaign)
Abstract: We formulate and model the dynamics of spatial patterns arising during the precipitation of calcium carbonate from a supersaturated shallow water flow. The model describes the formation of travertine deposits at geothermal hot springs and rimstone dams of calcite in caves. We find explicit solutions for travertine domes at low flow rates, identify the linear instabilities which generate dam and pond formation on sloped substrates, and present simulations of statistical landscape evolution.
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