Analytical Solution for Plane Strain Consolidation of Soft Soil Stabilised by Stone Columns

Doan, S; Fatahi, B; Khabbaz, H; Rasekh, H

Analytical Solution for Plane Strain Consolidation of Soft Soil Stabilised by Stone Columns

Doan, S Fatahi, B

Khabbaz, H Rasekh, H

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Publisher:: Springer Nature
Publication Type:: Conference Proceeding
Citation:: Lecture Notes in Civil Engineering, 2022, 164, pp. 753-767
Issue Date:: 2022-01-01

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Field	Value	Language
dc.contributor.author	Doan, S
dc.contributor.author	Fatahi, B https://orcid.org/0000-0002-7920-6946
dc.contributor.author	Khabbaz, H
dc.contributor.author	Rasekh, H https://orcid.org/0000-0003-2064-0753
dc.date.accessioned	2023-04-05T05:17:27Z
dc.date.available	2023-04-05T05:17:27Z
dc.date.issued	2022-01-01
dc.identifier.citation	Lecture Notes in Civil Engineering, 2022, 164, pp. 753-767
dc.identifier.isbn	9783030772291
dc.identifier.issn	2366-2557
dc.identifier.issn	2366-2565
dc.identifier.uri	http://hdl.handle.net/10453/169207
dc.description.abstract	This paper presents an analytical solution for free strain consolidation of a stone column-stabilised soft soil under instantly applied loading and two-dimensional plane strain conditions. Both horizontal and vertical flows of water were integrated into the mathematical model of the problem, while the total vertical stresses induced by the external load were assumed to distribute uniformly within each column and soil region. By utilising the separation of variables method, an exact series solution was obtained to predict the variation of excess pore water pressure and settlement with time for any point in the model. The achieved solution can capture the drain resistance effect due to the inclusion of permeability and size of the stone column in the mathematical model. A worked example investigating the dissipation of excess pore water pressure was conducted to exhibit the capabilities of the obtained analytical solution. The correctness of the solution was verified against a finite element modelling with good agreements. Besides, a parametric study to inspect the influence of consolidation parameters of soil on performance objectives (e.g. average degree of consolidation and average differential settlement) was also reported in this study. The results from the parametric analysis show that an increase in permeability of soil sped up considerably the consolidation and differential settlement. Furthermore, an increase in soil stiffness accelerated the consolidation and reduced the average differential settlement between stone column and soft soil significantly. Eventually, the proposed analytical solution is also feasible to predict the consolidation of soft soil with the inclusion of prefabricated vertical drains or pervious columns by adopting appropriate consolidation parameters and stress concentration ratio.
dc.language	en
dc.publisher	Springer Nature
dc.relation.ispartof	Lecture Notes in Civil Engineering
dc.relation.ispartofseries	Lecture Notes in Civil Engineering
dc.relation.isbasedon	10.1007/978-3-030-77230-7_57
dc.rights	info:eu-repo/semantics/closedAccess
dc.title	Analytical Solution for Plane Strain Consolidation of Soft Soil Stabilised by Stone Columns
dc.type	Conference Proceeding
utslib.citation.volume	164
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Civil and Environmental Engineering
pubs.organisational-group	/University of Technology Sydney/Strength - CBI - Centre for Built Infrastructure
pubs.organisational-group	/University of Technology Sydney/Strength - CAMGIS - Centre for Advanced Modelling and Geospatial lnformation Systems
utslib.copyright.status	closed_access	*
dc.date.updated	2023-04-05T05:17:23Z
pubs.publication-status	Published
pubs.volume	164

Abstract:

This paper presents an analytical solution for free strain consolidation of a stone column-stabilised soft soil under instantly applied loading and two-dimensional plane strain conditions. Both horizontal and vertical flows of water were integrated into the mathematical model of the problem, while the total vertical stresses induced by the external load were assumed to distribute uniformly within each column and soil region. By utilising the separation of variables method, an exact series solution was obtained to predict the variation of excess pore water pressure and settlement with time for any point in the model. The achieved solution can capture the drain resistance effect due to the inclusion of permeability and size of the stone column in the mathematical model. A worked example investigating the dissipation of excess pore water pressure was conducted to exhibit the capabilities of the obtained analytical solution. The correctness of the solution was verified against a finite element modelling with good agreements. Besides, a parametric study to inspect the influence of consolidation parameters of soil on performance objectives (e.g. average degree of consolidation and average differential settlement) was also reported in this study. The results from the parametric analysis show that an increase in permeability of soil sped up considerably the consolidation and differential settlement. Furthermore, an increase in soil stiffness accelerated the consolidation and reduced the average differential settlement between stone column and soft soil significantly. Eventually, the proposed analytical solution is also feasible to predict the consolidation of soft soil with the inclusion of prefabricated vertical drains or pervious columns by adopting appropriate consolidation parameters and stress concentration ratio.

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http://hdl.handle.net/10453/169207