Viscoelastic behaviour and temporal fractal properties of lherzolite and marble: Possible extrapolation from experimental results to the geological time-scale

Yusuke Kawada, Hiroyuki Nagahama

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

The viscoelastic relaxation behaviour of lherzolite and marble and their temporal fractal properties are studied. Based on the high-temperature viscoelastic behaviour for these rock types derived from the time-temperature superposition principle, the relaxation function for the viscoelastic behaviour of lherzolite and marble can be expressed as a flow law from a power-law function of temperature-reduced time given by normalizing the various temperature behaviours, with a non-integer exponent. The relaxation function is thus time-scale invariant, i.e. there is a temporal fractal property to the temperature-reduced time. Their rheological behaviour over geological time-scales at low temperature can be extrapolated from the experimental high-temperature behaviour based on the temporal fractal property. Our derived flow law satisfies not only transient behaviour but also steady-state behaviour.

Original languageEnglish
Pages (from-to)128-132
Number of pages5
JournalTerra Nova
Volume16
Issue number3
DOIs
Publication statusPublished - 2004 Jun 1

ASJC Scopus subject areas

  • Geology

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