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Analytical modelling of the steady flow of a submarine slide and consequent loading on a pipeline

Analytical modelling of the steady flow of a submarine slide and consequent loading on a pipeline
Analytical modelling of the steady flow of a submarine slide and consequent loading on a pipeline

This paper considers a simple one-dimensional model of a submarine slide at a steady state. From equilibrium relations, the distributions of shear stress, velocity and strain rate across the slide thickness are determined analytically for two rate-dependent soil strength models. Previous work has demonstrated that the increase in shear strength with strain rate can be adequately described using a power law or a logarithmic law model. The analytical solutions obtained with these models are compared with the ones available for a viscoplastic fluid of the Bingham or Herschel-Bulkley types. The influence of the rheological parameters, the slope angle and the slide thickness on the flow and deformation characteristics is analysed for each model. The derived analytical solutions can be viewed as representing a particular position within a slide at a given instant in time. They can be used in conjunction with numerical modelling of the entire slide to provide some insights into the flow pattern, and into the parameter sensitivity. These solutions are also applicable to determination of the loading on a pipeline that is oriented across the path of the slide. They are used to illustrate the relative contributions of the soil strength and the inertial drag, as well as the influence of the vertical position of the pipeline within the slide.

Clays, Constitutive relations, Landslides, Shear strength
0016-8505
137-146
Boukpeti, N.
3a09b546-4d1a-498d-986a-02165e5ab4fc
White, D.J.
a986033d-d26d-4419-a3f3-20dc54efce93
Randolph, M.F.
75caa33a-e630-4ae8-84cd-758797bf9633
Boukpeti, N.
3a09b546-4d1a-498d-986a-02165e5ab4fc
White, D.J.
a986033d-d26d-4419-a3f3-20dc54efce93
Randolph, M.F.
75caa33a-e630-4ae8-84cd-758797bf9633

Boukpeti, N., White, D.J. and Randolph, M.F. (2012) Analytical modelling of the steady flow of a submarine slide and consequent loading on a pipeline. Géotechnique, 62 (2), 137-146. (doi:10.1680/geot.10.P.001).

Record type: Article

Abstract

This paper considers a simple one-dimensional model of a submarine slide at a steady state. From equilibrium relations, the distributions of shear stress, velocity and strain rate across the slide thickness are determined analytically for two rate-dependent soil strength models. Previous work has demonstrated that the increase in shear strength with strain rate can be adequately described using a power law or a logarithmic law model. The analytical solutions obtained with these models are compared with the ones available for a viscoplastic fluid of the Bingham or Herschel-Bulkley types. The influence of the rheological parameters, the slope angle and the slide thickness on the flow and deformation characteristics is analysed for each model. The derived analytical solutions can be viewed as representing a particular position within a slide at a given instant in time. They can be used in conjunction with numerical modelling of the entire slide to provide some insights into the flow pattern, and into the parameter sensitivity. These solutions are also applicable to determination of the loading on a pipeline that is oriented across the path of the slide. They are used to illustrate the relative contributions of the soil strength and the inertial drag, as well as the influence of the vertical position of the pipeline within the slide.

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More information

Published date: February 2012
Keywords: Clays, Constitutive relations, Landslides, Shear strength

Identifiers

Local EPrints ID: 419909
URI: https://eprints.soton.ac.uk/id/eprint/419909
ISSN: 0016-8505
PURE UUID: 90323b1a-255e-48d4-8518-7115faf5e034
ORCID for D.J. White: ORCID iD orcid.org/0000-0002-2968-582X

Catalogue record

Date deposited: 23 Apr 2018 16:30
Last modified: 19 Jul 2019 10:58

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