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Stylolites are ubiquitous geo-patterns observed in rocks in the upper crust, from geological reservoirs in sedimentary rocks to deformation zones, in folds, faults, and shear zones. These rough surfaces play a major role in the dissolution…

Geophysics · Physics 2018-10-31 Renaud Toussaint , E. Aharonov , D. Koehn , P. Gratier , M. Ebner , P. Baud , A. Rolland , F. Renard

We study the roughness of stylolite surfaces (i.e. natural pressure-dissolution surfaces in sedimentary rocks) from profiler measurements at laboratory scales. The roughness is shown to be nicely described by a self-affine scaling…

Disordered Systems and Neural Networks · Physics 2007-05-23 J. Schmittbuhl , F. Renard , J. P. Gratier

Experimental microstylolites have been observed at stressed contacts between quartz grains loaded for several weeks in the presence of an aqueous silica solution, at 350 8C and 50 MPa of differential stress. Stereoscopic analysis of pairs…

Geophysics · Physics 2009-11-13 Jean-Pierre Gratier , Laurent Muquet , Riad Hassani , Francois Renard

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…

Materials Science · Physics 2009-11-11 Jean Schmittbuhl , Francois Renard , Jean-Pierre Gratier , Renaud Toussaint

The surface roughness of several stylolites in limestones was measured using high resolution laser profilometry. The 1D signals obtained were statistically analyzed to determine the scaling behavior and calculate a roughness exponent, also…

Inhomogeneities in deposition may lead to formation of rough surfaces, whose height fluctuations can be probed directly by scanning microscopy, or indirectly by scattering. Analytical or numerical treatments of simple growth models suggest…

Condensed Matter · Physics 2009-10-28 Mehran Kardar

The scaling behavior of cyclical growth (e.g. cycles of alternating deposition and desorption primary processes) is investigated theoretically and probed experimentally. The scaling approach to kinetic roughening is generalized to cyclical…

Statistical Mechanics · Physics 2009-11-07 Subhadip Raychaudhuri , Yonathan Shapir , David G. Foster , Jacob Jorne

We study analytically and numerical the growth rate of a crystal surface growing by several screw dislocations. To describe several spiral steps we use the revised level set method for spirals by the authors (Journal of Scientific Computing…

Materials Science · Physics 2017-06-16 Takeshi Ohtsuka , Yen-Hsi Richard Tsai , Yoshikazu Giga

The scaling behavior of cyclical surface growth (e.g. deposition/desorption), with the number of cycles n, is investigated. The roughness of surfaces grown by two linear primary processes follows a scaling behavior with asymptotic exponents…

Statistical Mechanics · Physics 2009-10-31 Y. Shapir , S. Raychaudhuri , D. G. Foster , J. Jorne

Chemical erosion, one of the two major erosion processes along with mechanical erosion, occurs when a soluble rock like salt, gypsum or limestone is dissolved in contact with a water flow. The coupling between the geometry of the rocks, the…

Soft Condensed Matter · Physics 2023-12-05 Martin Chaigne , Sabrina Carpy , Marion Massé , Julien Derr , Sylvain Courrech du Pont , Michael Berhanu

The application of stress to multiphase solid-liquid systems often results in morphological instabilities. Here we propose a solid-solid phase transformation model for roughening instability in the interface between two porous materials…

Materials Science · Physics 2009-11-13 L. Angheluta , E. Jettestuen , J. Mathiesen , F. Renard , B. Jamtveit

The morphology of a growing crystal surface is studied in the case of an unstable two-dimensional step flow. Competition between bunching and meandering of steps leads to a variety of patterns characterized by their respective instability…

Statistical Mechanics · Physics 2012-07-19 A. Verga

The dissolution of rocks by rainfall commonly generates streamwise parallel channels, yet the occurrence of these natural patterns remains to be understood. Here, we report the emergence in the laboratory of a streamwise dissolution pattern…

Fluid Dynamics · Physics 2020-11-10 Adrien Guérin , Julien Derr , Sylvain Courrech du Pont , Michael Berhanu

Surface roughness emerges naturally during mechanical removal of material, fracture, chemical deposition, plastic deformation, indentation, and other processes. Here, we use continuum simulations to show how roughness which is neither…

Soft Condensed Matter · Physics 2024-02-01 Lucas Frérot , Lars Pastewka

The patterns arising from the differential swelling of gels are investigated experimentally and theoretically as a model for the differential growth of living tissues. Two geometries are considered: a thin strip of soft gel clamped to a…

Soft Condensed Matter · Physics 2009-11-11 Thierry Mora , Arezki Boudaoud

We develop and test a methodology to infer paleostress from the morphology of stylolites within borehole cores. This non-destructive method is based on the analysis of the stylolite trace along the outer cylindrical surface of the cores. It…

Surfaces eroded by ion-sputtering are sometimes observed to develop morphologies which are either ripple (periodic), or rough (non-periodic). We introduce a discrete stochastic model that allows us to interpret these experimental…

We study the morphological evolution of surfaces during ion sputtering and we compare their dynamical roughening with aeolian ripple formation in sandy deserts. We show that the two phenomena can be described within the same theoretical…

Materials Science · Physics 2007-05-23 T. Aste , U. Valbusa

Growth-elasticity is a powerful model framework for understanding complex shape development in soft biological tissues. At each instant, by mapping how continuum building blocks have grown geometrically and how they respond elastically to…

Numerical Analysis · Mathematics 2024-10-23 Min Wu

When a solid object or wheel is repeatedly dragged on a dry sandy surface, ripple patterns are formed. Although the conditions to form ripple patterns have been studied well, methods to eliminate the developed ripple patterns have not been…

Soft Condensed Matter · Physics 2021-12-07 S. Hata , M. Katsura , H. Katsuragi
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