Analysis of the flow in layered fluids at small, but finite, amplitude with application to mullion structures

Raymond Charles Fletcher

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

An analysis of the flow in layered viscous fluids at small, but finite amplitude is illustrated in an application to the shortening of two different viscous fluids parallel to their interface. The analysis extends the familiar infinitesimal amplitude analysis, which retains terms to first-order in the surface slope, to second-order in this quantity. To second-order accuracy, the asymmetry in interface form characteristic of the finite-amplitude lobe-and-cusp structure emerges. Additional results for mullion structures are derived and used to interpret some natural structures.

Original languageEnglish (US)
Pages (from-to)51-66
Number of pages16
JournalTectonophysics
Volume81
Issue number1-2
DOIs
StatePublished - Jan 1 1982

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viscous fluids
fluid
fluids
cusps
lobes
asymmetry
slopes
analysis

All Science Journal Classification (ASJC) codes

  • Geophysics
  • Earth-Surface Processes

Cite this

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Analysis of the flow in layered fluids at small, but finite, amplitude with application to mullion structures. / Fletcher, Raymond Charles.

In: Tectonophysics, Vol. 81, No. 1-2, 01.01.1982, p. 51-66.

Research output: Contribution to journalArticle

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AB - An analysis of the flow in layered viscous fluids at small, but finite amplitude is illustrated in an application to the shortening of two different viscous fluids parallel to their interface. The analysis extends the familiar infinitesimal amplitude analysis, which retains terms to first-order in the surface slope, to second-order in this quantity. To second-order accuracy, the asymmetry in interface form characteristic of the finite-amplitude lobe-and-cusp structure emerges. Additional results for mullion structures are derived and used to interpret some natural structures.

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