Chinese Science Bulletin

, Volume 49, Issue 19, pp 2017–2021

Simple scaling relations in geodynamics: The role of pressure in mantle convection and plume formation


DOI: 10.1360/03wd0321

Cite this article as:
Anderson, D.L. Chin.Sci.Bull. (2004) 49: 2017. doi:10.1360/03wd0321


Scaling relations are important in extrapolating laboratory experiments to the Earth’s mantle. In planetary interiors, compression becomes an important parameter and it is useful to explore scalings that involve volume. I use simple volume scaling relations that allow one to extrapolate laboratory experiments and upper mantle behavior, in a thermodynamically self-consistent way, to predict lower mantle behavior. The relations are similar to the quasi-harmonic approximation. Slabs and plates have characteristic dimensions of hundreds of kilometers and time constants of 100 million years, but the volume scalings predict order of magnitude higher values in the deep mantle. The scaling relations imply that the deep mantle is a sluggish system with ancient features. They imply irreversible chemical stratification and do not favor the plume hypothesis.


scaling relationsvolume-dependent propertiessluggish flow in deep mantlechemical stratificationno mantle plumes

Copyright information

© Science in China Press 2004

Authors and Affiliations

  1. 1.Seismological LaboratoryCalifornia Institute of TechnologyPasadenaUSA