Abstract
The void space of granular materials can be considered as a collection of poly-sized pore bodies separated by narrow pore throats or constrictions. Pore network models have been developed to estimate the probable path length covered by fine particles flowing through a granular filter. For this calculation two pieces of information are required: the constriction size distribution and the mean void spacing between two constrictions which corresponds to the mean pore diameter. Different assumptions have been previously made in the literature to determine this void spacing. However, they all neglect the influence of the density and thus, the estimation of this quantity remains an open issue. This paper compares different definitions for the mean pore size based on statistical analyses performed on numerical samples composed of spheres by means of the Discrete Element Method. Different sphere packings with different gradings and density states were considered and a weighted Delaunay tessellation was applied to extract the main void characteristics. In a second part, a simple formula is proposed to quickly estimate the equivalent sieve opening size of the granular filter. This value is very close to the mode value of the constriction size distribution which is related to the most represented constriction size in a granular material.
The original version of this chapter was revised: Author provided figure corrections have been incorporated. The correction to this chapter is available at https://doi.org/10.1007/978-3-319-99423-9_32
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21 November 2018
The original version of the chapter was inadvertently published, missing out some of the figure corrections provided by author in Chapter “Simplified Estimation of Some Main Characteristics of Pores and Constrictions in Granular Materials”, which have been now incorporated.
References
Al-Raoush R, Thompson K, Willson CS (2003) Comparison of network generation techniques for unconsolidated porous media. Soil Sci Soc Am J 67(6):1687–1700
Biarez J, Hicher PY (1994) Classification of and correlations between parameters. In: Elementary mechanics of soil behaviour. A.A. Balkema, Rotterdam, pp 81–106
Homberg U, Baum D, Prohaska S, Kalbe U, Witt KJ (2012) Automatic extraction and analysis of realistic pore structures from µCT data for pore space characterization of graded soil. In: Proceedings of the 6th international conference on scour and erosion, Paris, pp 820–830
Humes C, Lafleur J, Rollin A (1996) A new approach to compute the void size distribution curves of protective filters. In: Proceedings of Geofilters’96, pp 57–66
Indraratna B, Raut A, Khabbaz H (2007) Constriction-based retention criterion for granular filter design. J Geotech Geoenviron Eng 133(3):266–276
Kenney T, Chahal R, Chiu E, Ofoegbu G, Omange G, Ume C (1985) Controlling constriction sizes of granular filters. Can Geotech J 22:32–43
Locke M, Indraratna B, Adikari G (2001) Time-dependent particle transport through granular filters. J Geotech Eng Div 127(6):521–528
O’Sullivan C, Bluthé J, Sejpar K, Shire T, Cheung LYG (2015) Contact based void partitioning to assess filtration properties in DEM simulations. Comput Geotech 64:120–131
Reboul N (2008) Transport de particules dans les milieux granulaires - Application à l’érosion interne (in French). Ph.D. thesis, Ecole Centrale de Lyon
Reboul N, Vincens E, Cambou B (2008) Statistical analysis of void size distribution in a simulated narrowly graded packing of spheres. Granul Matter 10(6):457–468
Reboul N, Vincens E, Cambou B (2010) A computational procedure to assess the distribution of constriction sizes for an assembly of spheres. Comput Geotech 37(1): 195–206
Sari H, Chareyre B, Catalano E, Philippe P, Vincens E (2011) Investigation of internal erosion processes using a coupled DEM-fluid method. In: Oate E, Owen DRJ (eds) Proceedings of particles 2011 II international conference on particle-based methods, Barcelona, pp 1–11
Scheuermann A, Steeb H, Kiefer J (2010) Internal erosion of granular materials - identification of erodible fine particles as a basis for numerical calculations. In: 9th international congress of the Hellenic society of theoretical and applied mechanics, pp 275–282
Schuler U (1996) Scattering of the composition of soils. An aspect for the stability of granular filters. In: Proceedings of GeoFilters’96, pp 21–33
Seblany F, Homberg U, Vincens E, Winkler P, Witt KJ (2017) Merging criteria for the definition of a local pore and the CSD computation of granular materials. In: Proceedings of the 25th meeting of European working group on internal erosion, Delft, pp 150–159
Seblany F, Homberg U, Vincens E, Winkler P, Witt KJ (2018) Merging criteria for defining pores and constrictions in numerical packing of spheres. Granul Matter 20:37. https://doi.org/10.1007/s10035-018-0808-z
Silveira A (1965) An analysis of the problem of washing through in protective filters. In: Proceedings of the 6th international conference on soil mechanics and foundation engineering, Montréal, Que, pp 551–555
Silveira A, de Lorena Peixoto T, Nogueira J (1975) On void size distribution of granular materials. In: Proceedings of the 5th Pan American conference on soil mechanics and foundation engineering, Buenos Aires, pp 161–177
Sjah J, Vincens E (2013) Determination of the constriction size distribution of granular filters by filtration tests. Int J Numer Anal Meth Geomech 37(10):1231–1246
Šmilauer V, Catalano E, Chareyre B, Dorofeenko S, Duriez J, Gladky A, Kozicki J, Modenese C, Scholtès L, Sibille L, Stránský J, Thoeni K (2010) Yade Documentation
Soria M, Aramaki R, Viviani E (1993) Experimental determination of void size curves. In: Filters in geotechnical and hydraulic engineering. Balkema, Rotterdam, pp 43–48
Taylor HF, O’Sullivan C, Shire T, Moinet WW (2018) Influence of the coefficient of uniformity on the size and frequency of constrictions in sand filters. Géotechnique 1–9. https://doi.org/10.1680/jgeot.17.T.051
To HD, Scheuermann A, Galindo-Torres SA (2015) Probability of transportation of loose particles in suffusion assessment by self-filtration criteria. J Geotech Geoenviron Eng 142(2):04015078
Vincens E, Witt KJ, Homberg U (2015) Approaches to determine the constriction size distribution for understanding filtration phenomena in granular materials. Acta Geotech 10(3):291–303
Witt KJ (1986). Filtrationsverhalten und Bemessung von Erdstoff-Filtern (in German). Ph.D. thesis, Institut für Bodenmechanik und Felsmechanik der Universität Fridericiana in Karlsruhe
Witt K (1993) Reliability study of granular filters. In: Filters in geotechnical and hydraulic engineering. Balkema, Rotterdam, pp 35–42
Wittmann L (1979) The process of soil-filtration - its physics in engineering practice. In: Proceedings of the 7th European conference on soil mechanics and foundation engineering vol 1, pp 303–310
Wu L, Nzouapet BN, Vincens E, Bernat-Minana S (2012) Laboratory experiments and the determination of the constriction size distribution of granular filters. In: Proceedings of 6th international conference on scour and erosion
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Seblany, F., Vincens, E., Picault, C. (2019). Simplified Estimation of Some Main Characteristics of Pores and Constrictions in Granular Materials. In: Bonelli, S., Jommi, C., Sterpi, D. (eds) Internal Erosion in Earthdams, Dikes and Levees. EWG-IE 2018. Lecture Notes in Civil Engineering , vol 17. Springer, Cham. https://doi.org/10.1007/978-3-319-99423-9_18
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