Investigation of impact forces on pipeline by submarine landslide using material point method

Abstract Quantitative assessment of impact forces by submarine landslide is significant for the safe operation of pipelines that must cross potential runout paths. In this paper, the transient process of a submarine landslide impacting a pipeline is modelled using the material point method (MPM) with an enhanced contact algorithm. For simplicity, the partially-embedded pipeline is assumed to be fixed in space. The Herschel-Bulkley rheological model is incorporated to reflect the dependence of the undrained shear strength of the sliding mass on the shear strain rate. The behaviour of the mass flowing over the pipe was reproduced by allowing separation between the pipe and the sliding mass. The horizontal impact forces predicted by the MPM are verified by comparison with those estimated using a computational fluid dynamics approach. The impact forces are interpreted with a hybrid model considering the combined effects due to the soil's inertia, its shear strength, and also the asymmetric static pressure of the sliding material. The coefficients for the three terms are retrieved by a best-fit to the results of an extensive parametric study. The effect of the projected height of the pipe above the seabed is also investigated.

[1]  J. Brackbill,et al.  The material-point method for granular materials , 2000 .

[2]  Arash Zakeri,et al.  Submarine debris flow impact on suspended (free-span) pipelines: Normal and longitudinal drag forces , 2009 .

[3]  M. Randolph,et al.  Analytical modelling of the steady flow of a submarine slide and consequent loading on a pipeline , 2012 .

[4]  Mark Randolph,et al.  Centrifuge modelling of active slide–pipeline loading in soft clay , 2014 .

[5]  M. Randolph,et al.  The limiting pressure on a circular pile loaded laterally in cohesive soil , 1984 .

[6]  J. Locat,et al.  Submarine landslides: advances and challenges , 2002 .

[7]  Lars Vabbersgaard Andersen,et al.  Modelling of landslides with the material-point method , 2008 .

[8]  Richard M. Iverson,et al.  The debris-flow rheology myth , 2003 .

[9]  Alexander Rohe,et al.  Numerical investigation of pile installation effects in sand using material point method , 2016 .

[10]  Arash Zakeri,et al.  Centrifuge Modeling of Glide Block and Out-runner Block Impact on Submarine Pipelines , 2011 .

[11]  John L. Tassoulas,et al.  Installation of Torpedo Anchors: Numerical Modeling , 2009 .

[12]  G. Pedersen,et al.  Submarine landslides: processes, triggers and hazard prediction , 2006, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[13]  Jasim Imran,et al.  A numerical model of submarine debris flow with graphical user interface , 2001 .

[14]  M. Jakob,et al.  Vulnerability of buildings to debris flow impact , 2011, Natural Hazards.

[15]  Arash Zakeri,et al.  Submarine debris flow impact on pipelines — Part II: Numerical analysis , 2009 .

[16]  Arash Zakeri,et al.  Submarine debris flow impact on pipelines — Part I: Experimental investigation , 2008 .

[17]  S. Bardenhagen,et al.  The Generalized Interpolation Material Point Method , 2004 .

[18]  Albert Magnin,et al.  Viscoplastic flow around a cylinder in an infinite medium , 2003 .

[19]  Mark Randolph,et al.  Large-deformation finite element analysis of pipe penetration and large-amplitude lateral displacement , 2010 .

[20]  Mark Randolph,et al.  Interaction forces between pipelines and submarine slides — A geotechnical viewpoint , 2012 .

[21]  Mark Randolph,et al.  A GPU parallel computing strategy for the material point method , 2015 .

[22]  James E. Guilkey,et al.  An Improved Contact Algorithm for the Material Point Method and Application to Stress Propagation in Granular Material , 2001 .

[23]  Jun Liu,et al.  Impact Forces of Submarine Landslides on Offshore Pipelines , 2015 .

[24]  Michael C. Georgiadis,et al.  LANDSLIDE DRAG FORCES ON PIPELINES , 1991 .

[25]  J. Ma,et al.  A new contact algorithm in the material point method for geotechnical simulations , 2014 .

[26]  M. Randolph,et al.  Strength of fine-grained soils at the solid-fluid transition , 2012 .