Numerical simulation of compaction bands in high-porosity sedimentary rock

Katsman, Regina; Aharonov, Einat; Scher, H.

doi:10.1016/j.mechmat.2004.01.004

Cited by 72 publications

(86 citation statements)

References 19 publications

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“…In carrying out computations, the model led us to detect the new patterns corresponding to the lower and higher velocities, which we then confirmed experimentally. Building on a spring lattice system, our model extends a previous quasi-static massless model that recovers stationary compaction bands 16,17 . Here, mass is included to tackle dynamic phenomena and the springs can take repetitive breakage events to model highly porous brittle material.…”

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confidence: 85%

Dynamic patterns of compaction in brittle porous media

et al. 2015

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Here, using a new heuristic lattice spring model undergoing repeated crushing events, we first predict the possible emergence of new types of dynamic compaction; we then discover and confirm these new patterns experimentally in compressed cereal packs. In total, we distinguish three observed compaction patterns: short-lived erratic compaction bands, multiple oscillatory propagating compaction bands reminiscent of critical phenomena near phase transitions, and di used irreversible densification. The manifestation of these three di erent patterns is mapped in a phase diagram using two dimensionless groups that represent fabric collapse and external dissipation.Compaction of brittle porous media is of central importance in industry and science, and has many ramifications, from destruction waves during meteoritic impacts 7 to the formation of density heterogeneities in pharmaceutical pills 8 and permeability barriers in rocks 9,10 . Previous work on brittle porous media has generally revealed two forms of compaction patterns: stationary and oscillatory propagating compaction bands. Specifically, stationary compaction bands with localized intense volumetric strain rate have been frequently observed in a wide range of brittle porous materials, including rocks 1-3 , foams 4 and honeycomb materials 11 . The formation of such bands has been rationalized mathematically using continuum models of viscoplasticity 12,13 or breakage mechanics 14,15 , with the latter connecting the process directly to the physics of grain breakage and pore collapse.The formation of oscillatory propagating compaction bands in porous media was discovered more recently by Valdes et al.5 , via uniaxially confined compression experiments on puffed rice packs (Fig. 1a). Similar to stationary compaction bands, the material within these bands experienced high volumetric strain rates accommodated by severe grain breakage and pore collapse. By comparing experiments on material placed in containers with different boundary roughness, this work motivated a connection between compaction dynamics to how energy is dissipated outside.More recently, similar experiments on dry foamy snow 6 also revealed oscillatory propagating compaction bands, although with only one or two oscillations per test (this will be discussed later, in Fig. 2g-i). This form of compaction was captured using a phenomenological continuum model for snow, with an assumed elastoplastic yield function, power-law density dependence, shearinduced bond failure, strength recovery due to sintering, and nonlocality of damage 6 . The need for these assumptions indicates that the underlying mechanisms that control the emergence of oscillatory compaction bands are not clear yet.In this paper we present experiments that unfold novel compaction patterns in brittle porous media. We show that all the observed patterns can be explained using a simple lattice spring model. We then map the manifested patterns in terms of a phase diagram that covers system and material parameters, applicable for brittle porous...

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confidence: 85%

Dynamic patterns of compaction in brittle porous media

et al. 2015

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“…Based on these, Baud et al [2] speculated that a diffuse compaction band was formed by coalescing short discrete compaction bands which were prevented by smaller pores and disperse grain sizes. The simulations of Katsman et al [34] and Wang et al [35] indicated that the growth of discrete compaction bands are promoted in relatively homogeneous rocks, and that diffuse compaction bands are preferential in more heterogeneity rocks. The mineralogy distribution of Bleurswille sandstone is also dispersive, and it can develop discrete compaction bands as well.…”

Section: Relationship Between Different Types Of Compaction Bandsmentioning

confidence: 99%

Experimental study on formation mechanism of compaction bands in weathered rocks with high porosity

Han

Liu

Wang

2013

Sci. China Technol. Sci.

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Since Mollema and Antonellini observed compaction bands in the field in 1996, different patterns of compaction bands have been found in laboratory experiments. There are some discrepancies between the laboratory experiments and the field observations: compared to the field observation, the stress levels required to induce compaction bands in laboratory experiments are usually higher than the inferred in the field, and the grain crushing are more intense in the laboratory experiments. In this paper, compaction bands were observed at the maximal principal stresses below 8 MPa, which is lower than the stress level inferred in the field, and there was no severe comminution inside the compaction bands. Experimental results indicate that the porosity and confining pressure have great impacts on the types of localization bands. Lower porosity and confining pressure can promote the growth of shear bands and high-angle shear bands. Higher porosity and confining pressure can promote the growth of discrete compaction bands. Intermediate porosity and confining pressure are favorable for the growth of hybrid modes involving two of the three, i.e., discrete compaction band, diffuse compaction band and high-angle shear band. The formation of discrete compaction bands is more unstable compared to diffuse compaction bands. The two types of compaction bands can appear in the same type rocks, and diffuse compaction bands are formed under lower confining pressure compared to discrete compaction bands. The reduction of permeability was within 2 orders of magnitude in this study, and it is 23 orders of magnitude lower than those obtained by other researchers. porous rock, compaction band, permeability evolution Citation:Han G F, Liu X L, Wang E Z. Experimental study on formation mechanism of compaction bands in weathered rocks with high porosity.

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“…Lattice models are another means for studying elasticity and breakdown of a variety of materials and structures [17], [33], [22], [15]. Global representation of Young's modulus and Poisson's ratio can be obtained by adjusting longitudinal and transverse dimensions, or stiffnesses, of the lattice beam elements [8], [3], [36].…”

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confidence: 99%

Simulating the Poisson effect in lattice models of elastic continua

Asahina

Ito

Houseworth

et al. 2015

Computers and Geotechnics

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Lattice models provide discontinuous approximations of the displacement field over the computational domain, which facilitates the modeling of fracture and other discontinuous phenomena. By discretizing the domain with two-node elements, however, ordinary lattice models cannot simulate the Poisson effect in a local (intra-element) sense, which is problematic for some types of analyses.Furthermore, such methods are limited in the range of Poisson ratio values that can be simulated. We present a new approach to remedy such known, yet underappreciated, shortcomings of lattice models. In this approach, the Poisson effect is modeled through the introduction of fictitious stresses into a regular lattice. Capabilities of the new approach are demonstrated through compressive test simulations of homogeneous and heterogeneous materials. The simulation results are compared with theory and those of continuum finite element models. The comparisons show good agreement for arbitrary Poisson ratios (including ν ⩾ 1/3) with respect to nodal displacement, intra-element stress, and nodal stress. This form of discrete method, supplemented by the proposed fictitious measures of stress, retains the simplicity of collections of two-node elements.

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Numerical simulation of compaction bands in high-porosity sedimentary rock

Cited by 72 publications

References 19 publications

Dynamic patterns of compaction in brittle porous media

Dynamic patterns of compaction in brittle porous media

Experimental study on formation mechanism of compaction bands in weathered rocks with high porosity

Simulating the Poisson effect in lattice models of elastic continua

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