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Roughness of Stylolites: Implications of 3D High Resolution Topography Measurements

Authors: Schmittbuhl, Jean; Renard, Francois; Gratier, Jean-Pierre; Toussaint, Renaud;

Roughness of Stylolites: Implications of 3D High Resolution Topography Measurements

Abstract

Stylolites are natural pressure-dissolution surfaces in sedimentary rocks. We present 3D high resolution measurements at laboratory scales of their complex roughness. The topography is shown to be described by a self-affine scaling invariance. At large scales, the Hurst exponent is $��_1 \approx 0.5$ and very different from that at small scales where $��_2 \approx 1.2$. A cross-over length scale at around $��_c =1$~mm is well characterized. Measurements are consistent with a Langevin equation that describes the growth of a stylolitic interface as a competition between stabilizing long range elastic interactions at large scales or local surface tension effects at small scales and a destabilizing quenched material disorder.

4 pages, 4 figures

Keywords

550, [SDU.STU.GP]Sciences of the Universe [physics]/Earth Sciences/Geophysics [physics.geo-ph], [PHYS.PHYS.PHYS-GEO-PH] Physics [physics]/Physics [physics]/Geophysics [physics.geo-ph], FOS: Physical sciences, [PHYS.PHYS.PHYS-GEO-PH]Physics [physics]/Physics [physics]/Geophysics [physics.geo-ph], [SDE.MCG.CPE] Environmental Sciences/Global Changes/domain_sde.mcg.cpe, Calcium Carbonate, Imaging, Three-Dimensional, [SDU.STU.GC]Sciences of the Universe [physics]/Earth Sciences/Geochemistry, [PHYS.COND.CM-GEN] Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other], [SDU.STU.GC] Sciences of the Universe [physics]/Earth Sciences/Geochemistry, Condensed Matter - Statistical Mechanics, Condensed Matter - Materials Science, Models, Statistical, Statistical Mechanics (cond-mat.stat-mech), Physics, 500, Materials Science (cond-mat.mtrl-sci), Geology, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, [SDE.MCG.CPE]Environmental Sciences/Global Changes/domain_sde.mcg.cpe, [PHYS.COND.CM-GEN]Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other], [SDU.STU.GP] Sciences of the Universe [physics]/Earth Sciences/Geophysics [physics.geo-ph]

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
60
Top 10%
Top 10%
Top 10%
Green
bronze