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Physical Modelling of the Upheaval Resistance of Buried Offshore ...

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Stolt <strong>Offshore</strong> sponsored <strong>the</strong> University <strong>of</strong><br />

Dundee to undertake a research project to improve<br />

understanding <strong>of</strong> <strong>the</strong> failure mechanisms associated<br />

with pipeline uplift and <strong>the</strong> monotonic uplift<br />

resistance. This paper reports some <strong>of</strong> <strong>the</strong> model<br />

tests carried out for drained loading conditions.<br />

2 EXPERIMENTAL METHOD<br />

2.1 Test geometry<br />

Model testing was carried out both in <strong>the</strong> laboratory<br />

(at 1g) and in a 5g acceleration field in <strong>the</strong> Dundee<br />

Geotechnical centrifuge. Both series <strong>of</strong> tests<br />

consisted <strong>of</strong> <strong>the</strong> extraction <strong>of</strong> a 500 mm length <strong>of</strong><br />

pipe from a box <strong>of</strong> soil with continuous<br />

measurement <strong>of</strong> force and pipe displacement.<br />

Because both geometries modelled plane strain<br />

conditions and both pipes were rigid; results are<br />

presented later per unit length <strong>of</strong> pipe. The front face<br />

<strong>of</strong> <strong>the</strong> soil boxes were perspex and <strong>the</strong> pipe was<br />

positioned perpendicular to <strong>the</strong> perspex front face,<br />

allowing <strong>the</strong> soil (and pipe) to be observed as pullout<br />

progressed.<br />

Pipes <strong>of</strong> 32 mm and 48 mm outside diameter and<br />

length <strong>of</strong> 495 mm were tested in <strong>the</strong> laboratory,<br />

whilst pipes <strong>of</strong> diameter 48 mm and length 498 mm<br />

were tested at 5g (and 5.2g) in <strong>the</strong> geotechnical<br />

centrifuge. Scaling laws (as reported by Sch<strong>of</strong>ield,<br />

1980) ensured that <strong>the</strong> 48 mm pipe at 5g would<br />

behave as a prototype 5 times larger (i.e.<br />

D=5x48mm= 240 mm).<br />

2.2 Laboratory and centrifuge testing<br />

methodology<br />

The preparation procedures were <strong>the</strong> same for both<br />

types <strong>of</strong> tests. Sand was placed to a depth <strong>of</strong> 30-50<br />

mm in <strong>the</strong> base <strong>of</strong> <strong>the</strong> box and <strong>the</strong> pipe was<br />

positioned on <strong>the</strong> surface <strong>of</strong> <strong>the</strong> soil. The pipe was<br />

located with its ends almost in contact with <strong>the</strong> front<br />

and back perspex faces <strong>of</strong> <strong>the</strong> box (Figure 2a) and<br />

grease was pushed into <strong>the</strong> gap to prevent soil<br />

entering <strong>the</strong> gap between <strong>the</strong> pipe and <strong>the</strong> front face.<br />

Additional sand was <strong>the</strong>n added until <strong>the</strong> required<br />

pipe embedment depth was achieved. Whilst <strong>the</strong><br />

sand sample was being placed above <strong>the</strong> pipe, it was<br />

important that <strong>the</strong> pipe was free to settle vertically so<br />

that a net vertical load was not applied to <strong>the</strong> pipe<br />

before <strong>the</strong> pull-out test commenced. If this were not<br />

done, <strong>the</strong> mobilisation distance to peak load would<br />

be underestimated. During a number <strong>of</strong> <strong>the</strong> tests, a<br />

grid <strong>of</strong> black markers at approximately 50 mm<br />

centres were placed in <strong>the</strong> soil touching <strong>the</strong> perspex<br />

front face while <strong>the</strong> soil was being prepared. This<br />

allowed later photographic measurement <strong>of</strong> soil<br />

movements through <strong>the</strong> perspex front face (Figure<br />

2a).<br />

Figure 2. Testing apparatus - (a) <strong>the</strong> laboratory test<br />

apparatus (b) centrifuge model package<br />

The pipe was <strong>the</strong>n pulled out <strong>of</strong> <strong>the</strong> soil using a<br />

rigid hanger arrangement to ensure that <strong>the</strong> pipe<br />

moved with uniform displacement and vertically<br />

(Figure 2a, b). Load was measured using a load cell<br />

and displacement using a potentiometer or LVDT.<br />

This was done using an Instron device in <strong>the</strong><br />

laboratory or a specially designed actuator in <strong>the</strong><br />

centrifuge. For tests with <strong>the</strong> soil marker grids, a<br />

series <strong>of</strong> digital photographs or analogue video was<br />

taken <strong>of</strong> <strong>the</strong> front face <strong>of</strong> <strong>the</strong> box as <strong>the</strong> pipe moved<br />

towards <strong>the</strong> soil surface.<br />

Soil preparation varied depending on <strong>the</strong> required<br />

density and whe<strong>the</strong>r <strong>the</strong> soil was dry or saturated.<br />

High sand and gravel dry densities (close to ρmax)<br />

were achieved by layered compaction. Loose, dry<br />

sand was prepared by quick sand pouring. Loose,<br />

saturated sand samples were prepared by pluviating<br />

sand through air into 200 mm <strong>of</strong> water. A sand or<br />

gravel berm was constructed once <strong>the</strong> strongbox was<br />

placed on <strong>the</strong> centrifuge arm by pouring through a<br />

funnel onto <strong>the</strong> soil surface. This would have created<br />

an intermediate density berm.<br />

2.3 Programme <strong>of</strong> tests<br />

The tests reported in this paper were conducted on<br />

ei<strong>the</strong>r silica sand or gravel. The sand was uniformly<br />

graded with d50 = 0.3 mm, Gs = 2.65 and <strong>the</strong><br />

particles were subrounded. The angle <strong>of</strong> repose <strong>of</strong><br />

<strong>the</strong> loose soil was measured to be 32 o and this is<br />

believed to be close to <strong>the</strong> critical state angle <strong>of</strong><br />

friction, φcrit. The gravel was subangular with d50 = 5<br />

mm and had an angle <strong>of</strong> repose <strong>of</strong> 35 o .<br />

Model tests were conducted in loose sand in <strong>the</strong><br />

centrifuge and <strong>the</strong> laboratory. O<strong>the</strong>r variables<br />

investigated were <strong>the</strong> diameter <strong>of</strong> <strong>the</strong> pipe, its<br />

embedment ratio (H/D), whe<strong>the</strong>r <strong>the</strong> soil was dry or<br />

saturated and <strong>the</strong> presence <strong>of</strong> a berm. The series <strong>of</strong><br />

tests is summarised in Table 1.

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