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Shapes of ideal stalagmites

2025/10/16 by Piotr Szymczak, Anthony J. C. Ladd, Matej Lipar +1 · 1 voice
Earth and Planetary Sciences · Environmental Science · #Geology and Paleoclimatology Research #Karst Systems and Hydrogeology #Coastal wetland ecosystem dynamics

paper · pdf · doi:10.1073/pnas.2513263122

Abstract

Stalagmites are isolated columns of calcium carbonate growing on a cave floor; their growth is driven by the constant dripping of supersaturated solutions from the roof of the cave. In this paper, we derive a closed-form expression for the shape of a steadily growing stalagmite. Our analysis gives rise to three distinct shapes, all of them observable in nature, with the shape characterized by a single dimensionless parameter. Transitions between different shapes occur at a specific value of this parameter, with additional selection rules determining the shape and size of stalagmites evolving under specific cave conditions. Our theory shows that the stalagmite shape influences the [Formula: see text] isotope shifts, which are an important source of paleoclimatic information.

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