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Geological pattern formation by growth and dissolution in aqueous systems by Paul Meakin, and Bjørn Jamtveit Proceedings A Volume 466(2115):659-694 March 8, 2010 ©2010 by The Royal Society

Geological pattern formation by growth and dissolution in aqueous systems by Paul Meakin, and Bjørn Jamtveit Proceedings A Volume 466(2115):659-694 March

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Page 1: Geological pattern formation by growth and dissolution in aqueous systems by Paul Meakin, and Bjørn Jamtveit Proceedings A Volume 466(2115):659-694 March

Geological pattern formation by growth and dissolution in aqueous systems

by Paul Meakin, and Bjørn Jamtveit

Proceedings AVolume 466(2115):659-694

March 8, 2010

©2010 by The Royal Society

Page 2: Geological pattern formation by growth and dissolution in aqueous systems by Paul Meakin, and Bjørn Jamtveit Proceedings A Volume 466(2115):659-694 March

Terrace patterns formed in fluvial systems.

Paul Meakin, and Bjørn Jamtveit Proc. R. Soc. A 2010;466:659-694

©2010 by The Royal Society

Page 3: Geological pattern formation by growth and dissolution in aqueous systems by Paul Meakin, and Bjørn Jamtveit Proceedings A Volume 466(2115):659-694 March

Travertine terraces.

Paul Meakin, and Bjørn Jamtveit Proc. R. Soc. A 2010;466:659-694

©2010 by The Royal Society

Page 4: Geological pattern formation by growth and dissolution in aqueous systems by Paul Meakin, and Bjørn Jamtveit Proceedings A Volume 466(2115):659-694 March

Simulations of terraces formed by the precipitation of calcite coupled with the loss of carbon dioxide.

Paul Meakin, and Bjørn Jamtveit Proc. R. Soc. A 2010;466:659-694

©2010 by The Royal Society

Page 5: Geological pattern formation by growth and dissolution in aqueous systems by Paul Meakin, and Bjørn Jamtveit Proceedings A Volume 466(2115):659-694 March

Icicles and stalactites: (a) Icicles and (b) stalactites from Kartchner Caverns, Benson, AZ, USA (Short et al.

Paul Meakin, and Bjørn Jamtveit Proc. R. Soc. A 2010;466:659-694

©2010 by The Royal Society

Page 6: Geological pattern formation by growth and dissolution in aqueous systems by Paul Meakin, and Bjørn Jamtveit Proceedings A Volume 466(2115):659-694 March

Icicles simulated by the random walk icicle model.

Paul Meakin, and Bjørn Jamtveit Proc. R. Soc. A 2010;466:659-694

©2010 by The Royal Society

Page 7: Geological pattern formation by growth and dissolution in aqueous systems by Paul Meakin, and Bjørn Jamtveit Proceedings A Volume 466(2115):659-694 March

(i) Comparison between theoretical icicle shape (equation (3.9), with ζ=z′ and ρ=R′) and actual icicle shape (Short et al. 2005).

Paul Meakin, and Bjørn Jamtveit Proc. R. Soc. A 2010;466:659-694

©2010 by The Royal Society

Page 8: Geological pattern formation by growth and dissolution in aqueous systems by Paul Meakin, and Bjørn Jamtveit Proceedings A Volume 466(2115):659-694 March

Simulation of stalagmite growth with sinusoidally varying drop rates () (s)), where ty is time in years and P is the periodicity (500, 5000 and 15 000 years in (a–c)).

Paul Meakin, and Bjørn Jamtveit Proc. R. Soc. A 2010;466:659-694

©2010 by The Royal Society

Page 9: Geological pattern formation by growth and dissolution in aqueous systems by Paul Meakin, and Bjørn Jamtveit Proceedings A Volume 466(2115):659-694 March

(a) A 67 m high stalagmite in Cueva San Martin Infierno, Cuba (Kevin Downey, The Virtual Cave, http://www.goodearthgraphics.com/virtcave/largest.htm).

Paul Meakin, and Bjørn Jamtveit Proc. R. Soc. A 2010;466:659-694

©2010 by The Royal Society

Page 10: Geological pattern formation by growth and dissolution in aqueous systems by Paul Meakin, and Bjørn Jamtveit Proceedings A Volume 466(2115):659-694 March

(a) Liberty Cap travertine cone at Mammoth Hot Springs, Yellowstone National Park, WY, USA. (b) Several stages in a simple normal growth model and a comparison between the actual shape

of Liberty Cap (circles) and the final stage of the simulation (thick da...

Paul Meakin, and Bjørn Jamtveit Proc. R. Soc. A 2010;466:659-694

©2010 by The Royal Society

Page 11: Geological pattern formation by growth and dissolution in aqueous systems by Paul Meakin, and Bjørn Jamtveit Proceedings A Volume 466(2115):659-694 March

Scalloped cave channel walls.

Paul Meakin, and Bjørn Jamtveit Proc. R. Soc. A 2010;466:659-694

©2010 by The Royal Society

Page 12: Geological pattern formation by growth and dissolution in aqueous systems by Paul Meakin, and Bjørn Jamtveit Proceedings A Volume 466(2115):659-694 March

(a) Roof of an ice cave, Bavaria (Karsten Peters, National Geographic, 1999).

Paul Meakin, and Bjørn Jamtveit Proc. R. Soc. A 2010;466:659-694

©2010 by The Royal Society

Page 13: Geological pattern formation by growth and dissolution in aqueous systems by Paul Meakin, and Bjørn Jamtveit Proceedings A Volume 466(2115):659-694 March

Cartoon of the flow field in a scallop.

Paul Meakin, and Bjørn Jamtveit Proc. R. Soc. A 2010;466:659-694

©2010 by The Royal Society

Page 14: Geological pattern formation by growth and dissolution in aqueous systems by Paul Meakin, and Bjørn Jamtveit Proceedings A Volume 466(2115):659-694 March

Spherulitic growth.

Paul Meakin, and Bjørn Jamtveit Proc. R. Soc. A 2010;466:659-694

©2010 by The Royal Society

Page 15: Geological pattern formation by growth and dissolution in aqueous systems by Paul Meakin, and Bjørn Jamtveit Proceedings A Volume 466(2115):659-694 March

Conceptual model for the growth of spherulites.

Paul Meakin, and Bjørn Jamtveit Proc. R. Soc. A 2010;466:659-694

©2010 by The Royal Society

Page 16: Geological pattern formation by growth and dissolution in aqueous systems by Paul Meakin, and Bjørn Jamtveit Proceedings A Volume 466(2115):659-694 March

(a–c) Simulation of surface normal growth with a constant growth velocity, Vn, and different nucleation rates.

Paul Meakin, and Bjørn Jamtveit Proc. R. Soc. A 2010;466:659-694

©2010 by The Royal Society

Page 17: Geological pattern formation by growth and dissolution in aqueous systems by Paul Meakin, and Bjørn Jamtveit Proceedings A Volume 466(2115):659-694 March

Botryoidal and spherulitic growth.

Paul Meakin, and Bjørn Jamtveit Proc. R. Soc. A 2010;466:659-694

©2010 by The Royal Society

Page 18: Geological pattern formation by growth and dissolution in aqueous systems by Paul Meakin, and Bjørn Jamtveit Proceedings A Volume 466(2115):659-694 March

Simulation of dendritic growth using diffusion-limited aggregation (DLA) models.

Paul Meakin, and Bjørn Jamtveit Proc. R. Soc. A 2010;466:659-694

©2010 by The Royal Society

Page 19: Geological pattern formation by growth and dissolution in aqueous systems by Paul Meakin, and Bjørn Jamtveit Proceedings A Volume 466(2115):659-694 March

(a,b) Chromium spinel dendrites formed between olivine plates in komatiite near the upper margin of Pyke Hill lava flow (Fowler et al. 2002).

Paul Meakin, and Bjørn Jamtveit Proc. R. Soc. A 2010;466:659-694

©2010 by The Royal Society

Page 20: Geological pattern formation by growth and dissolution in aqueous systems by Paul Meakin, and Bjørn Jamtveit Proceedings A Volume 466(2115):659-694 March

Single crystals.

Paul Meakin, and Bjørn Jamtveit Proc. R. Soc. A 2010;466:659-694

©2010 by The Royal Society