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Notes towards a theory of concentration of solids in natural sands

Published online by Cambridge University Press:  01 May 2009

J. R. L. Allen
J. R. L. Allen
Affiliation:
Sedimentology Research Laboratory, Department of Geology, The University, Reading.
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Summary

Theory based on the sphere as the ideal particle, fails to account satisfactorily for the concentration of solids observed in unconsolidated natural sands, which at the same time display a substantial degree of dimensional ordering of the particles. However, when the prolate spheroid of moderate axial ratio is substituted for the sphere, a theory which is satisfied by observation becomes possible, for the reason that equal spheroids can be regularly packed in both close and open ways. A spheroid assemblage of mixed open and close packings can retain a high degree of dimensional ordering of the constituent solids, yet have a relatively low particle concentration. Observations made on sandstones carefully selected for evidence of rapid cementation seem to bear out the theory as applied to natural sands. Clusters of grains resembling the open packings of equal spheroids are found in these sandstones to be uncommon but not rare, in accordance with the theory as thus far developed.

Type
Articles
Information
Geological Magazine , Volume 106 , Issue 4 , 27 August 1969 , pp. 309 - 321
Copyright
Copyright © Cambridge University Press 1969

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References

REFERENCES

Allen, J. R. L. 1964. Primary current lineation in the Lower Old Red Sandstone (Devonian), Anglo-Welsh Basin. Sedimentology, 3, 89–108.Google Scholar
Deresiewicz, H. 1958. Mechanics of granular matter. Advances in Applied Mechanics, 5, 233–306.CrossRefGoogle Scholar
Gaither, A. 1953. A study of porosity and grain relationships in experimental sands. J. sedim. Petrol., 23, 180–195.CrossRefGoogle Scholar
Graton, L. C. & Fraser, H. J. 1935. Systematic packing of spheres—with particular relation to porosity and permeability. J. Geol, 43, 785–909.Google Scholar
Kahn, J. S. 1956a. Analysis and distribution of packing properties in sand-sized sediments. 1. On the measurement of packing in sandstones. J. Geol., 64, 385–395.Google Scholar
Kahn, J. S. 1956b. Analysis and distribution of packing properties in sand-sized sediments. 2. The distribution of the packing measurements and an example of packing analysis. J. Geol., 64, 578–606.CrossRefGoogle Scholar
Moss, A. J. 1962. The physical nature of common sandy and pebbly deposits. Part I. Am. J. Sci., 260, 337–373.CrossRefGoogle Scholar
Moss, A. J. 1963. The physical nature of common sandy and pebbly deposits. Part II. Am. J. Sci., 261, 297–343.CrossRefGoogle Scholar
Moss, A. J. 1966. Origin, shaping and significance of quartz sand grains. J. geol. Soc. Aust., 13, 97–136.CrossRefGoogle Scholar
Potter, P. E. & Mast, R. F. 1963. Sedimentary structures, sand shape fabrics, and permeability. J. Geol., 71, 441–470.CrossRefGoogle Scholar
Scott, G. D. 1960. Packing of spheres. Nature, Lond., 188, 908–909.CrossRefGoogle Scholar
Smith, W. O., Foote, P. D., & Busang, R. F. 1929. Packing of homogeneous spheres. Phys. Rev., 34, 1271–1274.Google Scholar
Sneed, E. D., & Folk, R. L. 1958. Pebbles in the lower Colorado River, Texas. A study in particle morphogenesis. J. Geol., 66, 114–150.CrossRefGoogle Scholar
Taylor, J. M. 1950. Pore space reduction in sandstones. Bull. Am. Ass. Petrol. Geol., 36, 253–277.Google Scholar