Fractal sandstone pores: Automated measurements using scanning-electron-microscope images

Krohn, Christine E.; Thompson, A. H.

doi:10.1103/physrevb.33.6366

Cited by 232 publications

(106 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Moreover, the apparently universal surface fractal dimension of ballisticlike deposits is another important point for further investigation and suggests possible applications of this class of growth model. Indeed, the estimate D F = 2.9 is very close to the value D F ≈ 2.85 obtained experimentally in sandstones [38,39], and not very far from D F = 2.7 − 2.8 obtained in gold vapor deposition [40]. Another interesting question is what happens in ballisticlike models with varying angles of deposition, which have been recently applied to growth of silicon or silicon compounds [41,42,43].…”

Section: Discussionmentioning

confidence: 81%

Surface and bulk properties of deposits grown with a bidisperse ballistic deposition model

Silveira

Reis

2007

Phys. Rev. E

View full text Add to dashboard Cite

We study roughness scaling of the outer surface and the internal porous structure of deposits generated with the three-dimensional bidisperse ballistic deposition (BBD), in which particles of two sizes are randomly deposited. Systematic extrapolation of roughness and dynamical exponents and the comparison of roughness distributions indicate that the top surface has Kardar-ParisiZhang scaling for any ratio F of the flux between large and small particles. A scaling theory predicts the characteristic time of the crossover from random to correlated growth in BBD and provides relations between the amplitudes of roughness scaling and F in the KPZ regime. The porosity of the deposits monotonically increases with F and scales as F 1/2 for small F , which is also explained by the scaling approach and illustrates the possibility of connecting surface growth rules and bulk properties. The suppression of relaxation mechanisms in BBD enhances the connectivity of the deposits when compared to other ballisticlike models, so that they percolate down to F ≈ 0.05.The fractal dimension of the internal surface of the percolating deposits is D F ≈ 2.9, which is very close to the values in other ballisticlike models and suggests universality among these systems.

show abstract

Section: Discussionmentioning

confidence: 81%

Surface and bulk properties of deposits grown with a bidisperse ballistic deposition model

Silveira

Reis

2007

Phys. Rev. E

View full text Add to dashboard Cite

show abstract

“…[13][14][15][16][17][18] This means that the fractal theory may be used to predict properties of porous media. Yu and Cheng 19 developed a fractal thermal conductivity model for bidispersed ͑saturated͒ porous media based on the fractal characteristics of unit cell of the media, and this fractal model is also applicable for analyzing the permeability of porous media.…”

Section: Introductionmentioning

confidence: 99%

“…[13][14][15][16][17][18] In Sec. II, we give the detailed description of the fractal characteristics of microstructures of fractal porous media, and in Sec.…”

Section: Introductionmentioning

confidence: 99%

Fractal analysis of effective thermal conductivity for three-phase (unsaturated) porous media

Kou

Liu

et al. 2009

Journal of Applied Physics

View full text Add to dashboard Cite

A fractal analysis of effective thermal conductivity for unsaturated fractal porous media is presented based on the thermal-electrical analogy and statistical self-similarity of porous media. Here, we derive a dimensionless expression of effective thermal conductivity without any empirical constant. The effects of the parameters of fractal porous media on the dimensionless effective thermal conductivity are discussed. From this study, it is shown that, when the thermal conductivity of solid phase and wet phase are greater than that of the gas phase ͑viz., k s / k g Ͼ 1, k w / k g Ͼ 1͒, the dimensionless effective thermal conductivity of unsaturated fractal porous media decreases with decreasing degree of saturation ͑S w ͒ and increasing fractal dimension for pore area ͑D f ͒, fractal dimension for tortuosity ͑D t ͒, and porosity ͑ ͒; when the thermal conductivities of solid phase and wet phase are lower than that of the gas phase ͑viz., k s / k g Ͻ 1, k w / k g Ͻ 1͒, the trends were just opposite. Our model was validated by comparing the model prediction with existing experimental data. Excellent agreement was found except for the cases at very low level of saturation.

show abstract

“…As is well known, pioneered by the work of Mandelbrot et al (1984), the fractality of fracture surfaces in various kinds of materials such as concrete (Saouma et al, 1990;Saouma and Barton, 1994), steel (Mandelbrot et al, 1984;Underwood, 1986), ceramic (Mecholsky, 1989) and rock (Krohn and Thompson, 1986; Radlinski et al, 1999) has been verified experimentally, which has gradually lead to the establishment of the emergent fractal fracture mechanics over the past three decades. Naturally, it is a reasonable desire that some important physical concepts or parameters in the classical fracture mechanics can be extended directly into the fractal one but, unfortunately, this is not the case sometimes.…”

Section: Introductionmentioning

confidence: 99%

Ubiquitiformal fracture energy

Yang

et al. 2017

jtam

View full text Add to dashboard Cite

The ubiquitiformal fracture energy is proposed in the paper and its explicit expression is obtained. Moreover, the numerical results for concrete are found to be in good agreement with those for the critical strain energy release rate. The discrepancy between the numerical results of the traditional fracture energy and the critical strain energy release rate can be explained reasonably, which implies that the ubiquitiformal fracture energy should be taken as an available fracture parameter of materials. Finally, it is numerically found for some concrete that there is not size effect for the ubiquitiformal fracture energy.

show abstract

Fractal sandstone pores: Automated measurements using scanning-electron-microscope images

Cited by 232 publications

References 2 publications

Surface and bulk properties of deposits grown with a bidisperse ballistic deposition model

Surface and bulk properties of deposits grown with a bidisperse ballistic deposition model

Fractal analysis of effective thermal conductivity for three-phase (unsaturated) porous media

Ubiquitiformal fracture energy

Contact Info

Product

Resources

About