TECHNICAL PAPERS
Jul 1, 1997

Batch Analysis of Slurries in Zone Settling Regime

Publication: Journal of Environmental Engineering
Volume 123, Issue 7

Abstract

An integrated model for computing the height variation of the mudline and sediment-suspension interfaces of a slurry exhibiting zone settling behavior is proposed. The model accounts for the dynamic interaction of the two dominant components of a batch test, the settling of solids in the suspension region, and the compression of the material that has already been deposited at the bottom of the cylinder. The settling of solids is modeled by the Kynch theory, while the compression process is represented by a self-weight nonlinear finite strain model. A graphical procedure that involves use of the slurry flux curve in conjunction with the Kynch model is developed to calculate the flux of the solids that settle atop the sediment layer. The equation governing the compression process, which is a nonlinear transient partial differential equation of the parabolic type, is solved numerically by using the finite-element method for the spatial domain, while for the time domain a finite-difference scheme is used. Its solution provides the compaction rate and the velocity of the upward moving liquid that is squeezed out from the sediment layer. The coupling of the two components is accomplished by continuously accounting for the effect of the newly deposited sediment on the thickness of the sediment layer and the attendant release of upward moving liquid and its influence on the settling of solids within the suspension. The validity of the model is illustrated by using data reported in the literature for a mineral clay.

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References

1.
Been, K., and Sills, G. C.(1981). “Self-weight compression of soft soils: an experimental and theoretical study.”Geotechnique, London, England, 31(4), 519–535.
2.
Biot, M. A.(1955). “Theory of elasticity and compression for a porous anisotropic solid.”J. Appl. Phys., 26(2), 182–185.
3.
Coe, H. S., and Clevenger, G. H.(1916). “Methods for determining the capacities of slime-settling tanks.”Trans., Am. Inst. Min. Engrs., 60, 356–384.
4.
Dixon, C.(1982). “Compression effects in batch settling tests.”J. Envir. Engrg., 108(6), 1171–1191.
5.
Fitch, B.(1983). “Kynch theory and compression zones.”AIChE J., 29(6), 940–947.
6.
Fitch, B.(1993). “Thickening theories—an analysis.”AIChE J., 39(1), 27–36.
7.
Font, R.(1988). “Compression zone effect in batch sedimentation.”AIChE J., 34(2), 229–238.
8.
Font, R.(1991). “Analysis of the batch sedimentation test.”Chemical Engrg. Sci., 46(10), 2473–2482.
9.
Gibson, R., Schiffman, R., and Cargill, K.(1981). “The theory of one-dimensional compression of saturated clays. II: Finite nonlinear compression of thick homogeneous layers.”Can. Geotech. J., Ottawa, Canada, 18, 280–293.
10.
Kos, P., and Andrian, D.(1975). “Transport phenomena applied to sludge dewatering.”J. Envir. Engrg., ASCE, 101(6), 947–965.
11.
Kynch, G. T.(1952). “A theory of sedimentation.”Trans. Faraday Soc., 48, 166–176.
12.
Lee, K., and Sills, G. C. (1979). “A moving boundary approach to large strain compression of a thin soil layer.”Proc., 3rd Int. Conf. on Numer. Methods in Geomechanics, A. A. Balkema, Rotterdam, The Netherlands, 163–173.
13.
Mischler, R. T.(1912). “Settling slimes at Tigre Mill.”Engrg. Min. J., 94(643), 33–40.
14.
Mitchell, J. K. (1993). Fundamentals of soil behavior, 2nd Ed., John Wiley & Sons, Inc., New York, N.Y.
15.
Reddy, J. N. (1992). “An introduction to the finite element method,” 2nd Ed., McGraw-Hill Inc., New York, N.Y.
16.
Scott, K. J.(1968). “Experimental study of continuous thickening of a flocculated silica slurry.”Industrial and Engrg. Chem. Fundamentals, 5, 484–492.
17.
Shannon, P. T., DeHaas, R. D., and Stroupe, E. P.(1964). “Batch and continuous thickening: prediction of batch settling behavior from initial rate data with results for rigid spheres.”Industrial and Engrg. Chem. Fundamentals, 3(3), 250–260.
18.
Talmage, W. P., and Fitch, E. B.(1955). “Determining thickener unit areas.”Industrial Engrg. Chem., 47, 38–52.
19.
Tiller, F. M.(1981). “Revision of Kynch sedimentation theory.”AIChE J., 27(5), 823–829.
20.
Tiller, F. M. (1985). “Unifying the theory of thickening, filtration, and centrifugation.”Proc., Engrg. Found. Conf., B. M. Moudgiland and B. J. Scheiner, eds., Am. Inst. of Chemical Engrs., New York, N.Y., 89–141.
21.
Tiller, F. M., and Khatib, Z.(1984). “The theory of sediment volumes of compressible, particulate structures.”J. Colloid and Interface Sci., 100(1), 55–67.
22.
Vesilind, P. A., and Jones, G.(1990). “A reexamination of the batch-thickening curve.”Res. J. WPCF, 62(5), 887–893.
23.
Vesilind, P. A., and Jones, G.(1993). “Channelling in batch thickening.”Water Sci. and Technol., Copenhagen, Denmark, 28(1), 59–65.

Information & Authors

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Published In

Go to Journal of Environmental Engineering
Journal of Environmental Engineering
Volume 123Issue 7July 1997
Pages: 659 - 667

History

Published online: Jul 1, 1997
Published in print: Jul 1997

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Authors

Affiliations

Panayiotis Diplas, Member, ASCE,
Assoc. Prof., Civ. Engrg. Dept., Virginia Polytech. Inst. and State Univ., Blacksburg, VA 24061-0105.
Athanasios N. Papanicolaou
Asst. Prof., Civ. Engrg. Dept., Washington State Univ., Pullman, WA 99164-2910; formerly, Grad. Res. Asst., Civ. Engrg. Dept., Virginia Polytech. Inst. and State Univ., Blacksburg, VA.

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