Dynamical effects during compaction band formation affecting their spatial periodicity

Cecinato, Francesco; Gajo, Alessandro

doi:10.1002/2014jb011060

Cited by 6 publications

(4 citation statements)

References 38 publications

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“…The geometrical, statistical and kinematical studies of compaction bands and compaction band zones and their detailed architecture are very few, if any (e.g., Sternlof, 2006;Tondi et al, 2012;Cecinato and Gajo, 2014). …”

Section: Accepted Manuscriptmentioning

confidence: 99%

The dynamics and interaction of compaction bands in Valley of Fire State Park, Nevada (USA): Implications for their growth, evolution, and geostatistical property

et al. 2015

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Geometry, geostatistics and microstructures of two sets of high-angle compaction bands within AztecSandstone are investigated for the purpose of characterizing their dimensions, distributions, and growth dynamics. Both sets generally terminate at the dune boundaries. The first set of compaction bands is longer than the second set, which is thought to be controlled by the depositional architecture. The macroscopic thickness of single compaction bands varies from zero at their tips to maximum values, 3 to 10 mm commonly within the central parts. The compaction bands often cluster into zones, the thickness of which increases by addition of a new band sub-parallel to the previously formed bands. The average thickness of a given zone does not change significantly except for a limited number of places along their lengths and a high thickness/distance gradient at their ends. The high thickness anomalies in the thickness distribution plots along the zones correspond to local complexities such as eye structures, steps, and intersections of converging or diverging bands and may reach to about 35 cm. Microstructural analysis of single compaction bands highlights the presence of two typical portions, a thin portion and a thick portion. The thin portion of the band contains pockets of tightly packed grains surrounded by large pores in the band. The thick portion is characterized by an almost homogeneously distributed compaction throughout the band. The thin A C C E P T E D M A N U S C R I P T ACCEPTED MANUSCRIPT 2 portions are found close to the tips, whereas the thick portions occur primarily in the central parts of the bands. Two other characteristics of both single bands and zones of bands in high resolutionimages are that their thicknesses appear to be smaller and that their lateral boundaries are unexpectedly rough with respect to their appearance in outcrops and hand samples, the latter of which may play an important role in their lateral growth.

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Section: Accepted Manuscriptmentioning

confidence: 99%

The dynamics and interaction of compaction bands in Valley of Fire State Park, Nevada (USA): Implications for their growth, evolution, and geostatistical property

et al. 2015

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“…These compaction bands, therefore, have a significant impact on fluid production or geological storage (

{CO}_{2}

, nuclear waste). Several models exist to describe the mechanism of its in situ periodic occurrence, for example, by Cecinato; 9 however, other physical processes lead to periodic bands under compression with increased permeability, an example from the melt segregation field known as decompaction bands 10 …”

Section: Introductionmentioning

confidence: 99%

Automatically adaptive stabilized finite elements and continuation analysis for compaction banding in geomaterials

Cier

Poulet

Rojas

et al. 2021

Numerical Meth Engineering

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Under compressive creep, viscoplastic solids experiencing internal mass transfer processes can accommodate singular cnoidal wave solutions as material instabilities at the stationary wave limit. These instabilities appear when the loading rate is significantly faster than the material's capacity to diffusive internal perturbations, leading to localized failure features (e.g., cracks and compaction bands). These cnoidal waves, generally found in fluids, have strong nonlinearities that produce periodic patterns. Due to the singular nature of the solutions, the applicability of the theory is currently limited. Additionally, practical simulation tools require proper regularization to overcome the challenges that singularity induces. We focus on the numerical treatment of the governing equation using a nonlinear approach building on a recent adaptive stabilized finite element method. This automatic refinement method provides an error estimate that drives mesh adaptivity, a crucial feature for the problem at hand. We compare the performance of this adaptive strategy against analytical and standard finite element solutions. We then investigate the sensitivity of the diffusivity ratio, the parameter controlling the process, and identify multiple possible solutions with several stress peaks. Finally, we show the evolution of the spacing between peaks for all solutions as a function of that parameter.

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“…Several models exist to describe the mechanism on its in situ periodic occurrence, e.g. by Cecinato [7], however, there also exist other physical processes that lead to periodic bands under compression with increased permeability, an example from the melt segregation field known as decompaction bands [8].…”

Section: Introductionmentioning

confidence: 99%

Adaptive stabilized finite elements: Continuation analysis of compaction banding in geomaterials

Cier,

Poulet,

Rojas

et al. 2020

Preprint

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Under compressive creep, visco-plastic solids experiencing internal mass transfer processes have been recently proposed to accommodate singular cnoidal wave solutions, as material instabilities at the stationary wave limit. These instabilities appear when the loading rate is significantly faster than the capability of the material to diffuse internal perturbations and lead to localized failure features (e.g., cracks and compaction bands). This type of solution, generally found in fluids, has strong nonlinearities and periodic patterns. Due to the singular nature of the solutions, the applicability of the theory is currently limited. Additionally, effective numerical tools require proper regularization to overcome the challenges that singularity induces. We focus on the numerical treatment of the governing equation using a nonlinear approach building on a recent adaptive stabilized finite element method. This method provides a residual representation to drive adaptive mesh refinement, a particularly useful feature for the problem at hand. We compare against analytical and standard finite element solutions to demonstrate the performance of our approach. We then investigate the sensitivity of the diffusivity ratio, main parameter of the problem, and identify multiple possible solutions, with multiple stress peaks. Finally, we show the evolution of the spacing between peaks for all solutions as a function of that parameter.

show abstract

Dynamical effects during compaction band formation affecting their spatial periodicity

Cited by 6 publications

References 38 publications

The dynamics and interaction of compaction bands in Valley of Fire State Park, Nevada (USA): Implications for their growth, evolution, and geostatistical property

The dynamics and interaction of compaction bands in Valley of Fire State Park, Nevada (USA): Implications for their growth, evolution, and geostatistical property

Automatically adaptive stabilized finite elements and continuation analysis for compaction banding in geomaterials

Adaptive stabilized finite elements: Continuation analysis of compaction banding in geomaterials

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