Estimating particle size distributions from a network model of porous media

Mathews, Toby; Matthews, G. Peter; Huggett, Stephen

doi:10.1016/s0032-5910(99)00059-5

Cited by 14 publications

(10 citation statements)

References 12 publications

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“…2.2 Growth of the skeletal elements (Mathews et al 1999) In Fig. 4, we consider a cubic array of eight neighbouring cubic pores.…”

Section: Generation Of the Pore Networkmentioning

confidence: 99%

“…4 Illustration of the algorithm used for the calculation of the particle size. (a) the 8 pores defining the skeletal element space, the primary position Q and the 4 contact points, (b) the initial skeletal element particle centred on the primary position grows and finds a first contact point, (c) the centre of the sphere moves away from the first contact point and finds a second contact point, (d) and (e) the growth of the sphere continues until the 4 contact points are found (the contact points are shown as vertices of a tetrahedron), or (f) until the sphere touches the outer cube formed by the centres of the 8 pores (Mathews et al 1999) duces a negligible error. The 'primary position' Q of the skeletal element is taken as being at the centre of a cube defined by the centres of the eight adjacent pores.…”

Section: Generation Of the Pore Networkmentioning

confidence: 99%

“…Skeletal element sizes are then estimated by "growing" representative structural (or skeletal) elements in the solid phase between the simulated voids. The algorithm is similar to one published previously (Mathews et al 1999). However it has now been given an interface to present its results in virtual reality.…”

Section: Introductionmentioning

confidence: 97%

“…2 A cross-section view through a solid as represented by the Mayer and Stowe method of estimating the particle size distributions. Mercury, shown grey, has intruded the first layer of particles (Mathews et al 1999) assumptions only apply to sorted arrangements of perfect spheres such as that shown in the figure. Even then they are counter-intuitive with respect to the size relationship between pores-throats and particles in a real sample.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Estimation of structural element sizes in sand and compacted blocks of ground calcium carbonate using a void network model

Laudone

Matthews

Gane³

et al. 2007

Transp Porous Med

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An algorithm has been developed for the calculation of the size of the effective structural or skeletal elements which make up the solid phase of an unconsolidated or consolidated porous block. It is based on a previously presented algorithm, but it has now been validated on unconsolidated samples and tested on consolidated samples. It also includes a virtual reality representation of the structures. First, a network model named Pore-Cor is made to reproduce the percolation behaviour of the experimental sample, by matching its simulated percolation characteristics to an experimental mercury intrusion curve. The algorithm then grows skeletal elements between the cubic pores and cylindrical throats of the void network model until they touch up to four of the adjacent void features. The size distributions of the simulated solid elements are compared with each other and with experimentally determined particle size distributions, using a Mann-Whitney test. The algorithm was shown to simulate skeletal elements with the correct trends in size distribution for two different sand samples, provided the sand packed itself optimally under the applied mercury pressure. It was also applied to two samples of variously compressed calcium carbonate powder, having fine and coarse particle size distributions respectively. The simulation demonstrated that on compressing the powder at the minimum force, the skeletal elements differed from the constituent particle sizes, as expected. The average size of the skeletal elements increased as the compression force was increased on Transp Porous Med (2007) 66:403-419 the calcium carbonate powders. The results suggest that the method could be useful as a tool for probing the effect of compaction on aggregation or sintering, and for studying other effects such as cementation in geological samples, where other more direct techniques cannot be applied.

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“…2.2 Growth of the skeletal elements (Mathews et al 1999) In Fig. 4, we consider a cubic array of eight neighbouring cubic pores.…”

Section: Generation Of the Pore Networkmentioning

confidence: 99%

Section: Generation Of the Pore Networkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Estimation of structural element sizes in sand and compacted blocks of ground calcium carbonate using a void network model

Laudone

Matthews

Gane³

et al. 2007

Transp Porous Med

View full text Add to dashboard Cite

show abstract

“…The algorithm used to calculate the size of the skeletal elements has been fully described by Mathews et al [17]. Their sizes match those of the grains within a sample of unconsolidated sand [14].…”

Section: Pore-cormentioning

confidence: 99%