Dynamic Compaction of Saturated Porous Columns
Publication: Journal of Engineering Mechanics
Volume 119, Issue 8
Abstract
A theory for flow in a saturated compressible porous medium is developed to simulate the solid‐liquid separation operations known as expression in practice. A mathematical model that consists of the mass‐conservation equation, quasistate equilibrium equation, stress‐strain relation for an elastic matrix, and a variable total stress expression was employed to obtain numerical solutions for pore pressure and compaction variations due to time‐dependent and constant displacement conditions at the upper boundary of saturated porous columns. Results were obtained for five problems of practical importance. Cases studied include the compression of a porous column with a specified time‐dependent displacement of the upper boundary, compression with instantaneous displacement of the pervious upper boundary of a saturated porous column, compression with time‐dependent displacement at the impervious upper boundary, compaction with an upper boundary moving at a constant velocity, and dynamic compression of a saturated porous column with variable permeability and porosity. The effects of piston (upper boundary) and membrane (lower boundary) resistances on pore pressure variation and compaction distribution have been investigated, and the implications of constant porosity and permeability assumptions were demonstrated. It was shown that lower and upper boundary resistance factors have critical influence on the operation.
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References
1.
Baligh, M. M., and Fuleihan, N. F. (1978). “Consolidation theory with stress reduction due to settlement.” J. Geotech. Eng., ASCE, 104(5), 519–534.
2.
Bear, J., and Corapcioglu, M. Y. (1981a). “Mathematical model for regional land subsidence due to pumping, 1. integrated aquifer subsidence equations based on vertical displacements only.” Water Resour. Res., 17(4), 937–946.
3.
Bear, J., and Corapcioglu, M. Y. (1981b). “Mathematical model for regional land subsidence due to pumping, 2. integrated aquifer subsidence equations for vertical and horizontal displacements.” Water Resour. Res., 17(4), 947–958.
4.
Corapcioglu, M. Y., and Bear, J. B. (1983). “A mathematical model for regional land subsidence due to pumping, 3. integrated equations for a phreatic aquifer.” Water Resour. Res., 19(4), 895–908.
5.
Carman, P. C. (1937). “Fluid flow through a granular bed.” Trans. Inst. Chem. Eng., London, England, 15, 150–156.
6.
Gibson, R. E. (1958). “The progress of consolidation in a clay layer increasing in thickness with time.” Geotechnique, London, England, 8, 171–182.
7.
Koppula, S. D. (1983). “Porewater pressure due to overburden removal.” J. Geotech. Eng., ASCE, 109(8), 1099–1110.
8.
Lecrerc, D., and Rebouillat, S. (1985). “Dewatering by compression.” Mathematical models and design methods in solid‐liquid separation. A. Rushton, ed., Martinus Nijhoff Publishers, Dordrecht, The Netherlands, 356–391.
9.
Madhav, M. R., and Basak, P. (1977). “Ground subsidence due to nonlinear flow through deformable porous media.” J. Hydrology, 34, 21–33.
10.
Mannins, P. C., and Roberts, B. W. (1975). “Compression of an elastoporous medium.” Int. J. Non‐linear Mechanics, 13, 75–93.
11.
Pinder, G. F., and Gray, W. G. (1977). Finite element simulation in surface and subsurface hydrology. Academic Press, New York, N.Y.
12.
Tiller, F. M., Yeh, C. S., Tsai, C. D., and Chen, W. (1987). “Generalized approach to thickening, filtration and centrifugation.” Filtration and Separation (March/April), 121–126.
13.
Wakeman, R. J. (1981). “Thickening and filtration: a review and evaluation of recent research.” Trans. Inst. Chem. Eng., London, England, 59, 147–160.
14.
Wells, S. A., and Sivakumaran, K. (1990). “Two‐dimensional modeling of dewatering in a belt filter press.” Proc., Env. Eng. Specialty Conf. 1990, C. R. O'Melia, ed., ASCE, 132–139.
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Information
Published In
Journal of Engineering Mechanics
Volume 119 • Issue 8 • August 1993
Pages: 1558 - 1578
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: May 26, 1992
Published online: Aug 1, 1993
Published in print: Aug 1993
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