Exact Solution to Predict Excess Pore Pressures and Settlement of Unsaturated Soil Deposit due to Uniform Loading

Ho, H; Fatahi, B; Khabbaz, H

Exact Solution to Predict Excess Pore Pressures and Settlement of Unsaturated Soil Deposit due to Uniform Loading

Ho, H Fatahi, B

Khabbaz, H

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Publisher:: Canadian Geotechnical Society
Publication Type:: Conference Proceeding
Citation:: GEO Montreal 2013, 2013, pp. 1 - 6
Issue Date:: 2013-01

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Field	Value	Language
dc.contributor.author	Ho, H	en_US
dc.contributor.author	Fatahi, B https://orcid.org/0000-0002-7920-6946	en_US
dc.contributor.author	Khabbaz, H https://orcid.org/0000-0001-6637-4601	en_US
dc.contributor.editor	Robert, C	en_US
dc.date	2013-09-29	en_US
dc.date.issued	2013-01	en_US
dc.identifier.citation	GEO Montreal 2013, 2013, pp. 1 - 6	en_US
dc.identifier.isbn	978-0-920505-56-4	en_US
dc.identifier.uri	http://hdl.handle.net/10453/27592
dc.description.abstract	This paper explains a simple yet precise analytical solution for the nonlinear governing equations for one-dimensional (1D) consolidation of an unsaturated soil deposit using eigenfunction expansions and Laplace transform techniques. The mathematical development adopts two-way drainage condition for the unsaturated soil, in which the permeable top and base boundaries allow free dissipation of pore-air and pore-water pressures under uniform loading. Eigenfunctions and eigenvalues are parts of the general solution and can be obtained based on the proposed drainage boundary condition. Furthermore, uniformly distributed initial pore pressures can be used to determine the initial generalised Fourier coefficients. Besides, Laplace transform method is adopted to solve the first-order differential equations. Once the equations with transformed domain are obtained, the final solutions, which are proposed to be functions of time (t) and depth (z), can be achieved by taking an inverse Laplace transform. A worked example is provided to present the consolidation characteristics of unsaturated soils based on the proposed solution. Significance of air permeability to water permeability ratio on the excess pore water and air pressure dissipation rates is investigated and discussed.	en_US
dc.publisher	Canadian Geotechnical Society	en_US
dc.relation.ispartof	GEO Montreal 2013	en_US
dc.relation.ispartof	GeoMontreal	en_US
dc.title	Exact Solution to Predict Excess Pore Pressures and Settlement of Unsaturated Soil Deposit due to Uniform Loading	en_US
dc.type	Conference Proceeding
utslib.location	Montreal, Quecbec	en_US
utslib.location.activity	Hilton Bonaventure Montreal Hotel	en_US
utslib.for	090501 Civil Geotechnical Engineering	en_US
dc.location.activity	Hilton Bonaventure Montreal Hotel	en_US
pubs.embargo.period	Not known	en_US
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
utslib.copyright.status	closed_access
pubs.consider-herdc	true	en_US
pubs.finish-date	2013-10-03	en_US
pubs.place-of-publication	Montreal, Quecbec	en_US
pubs.start-date	2013-09-29	en_US

Abstract:

This paper explains a simple yet precise analytical solution for the nonlinear governing equations for one-dimensional (1D) consolidation of an unsaturated soil deposit using eigenfunction expansions and Laplace transform techniques. The mathematical development adopts two-way drainage condition for the unsaturated soil, in which the permeable top and base boundaries allow free dissipation of pore-air and pore-water pressures under uniform loading. Eigenfunctions and eigenvalues are parts of the general solution and can be obtained based on the proposed drainage boundary condition. Furthermore, uniformly distributed initial pore pressures can be used to determine the initial generalised Fourier coefficients. Besides, Laplace transform method is adopted to solve the first-order differential equations. Once the equations with transformed domain are obtained, the final solutions, which are proposed to be functions of time (t) and depth (z), can be achieved by taking an inverse Laplace transform. A worked example is provided to present the consolidation characteristics of unsaturated soils based on the proposed solution. Significance of air permeability to water permeability ratio on the excess pore water and air pressure dissipation rates is investigated and discussed.

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http://hdl.handle.net/10453/27592