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

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Gravel<br />

berm<br />

Loose<br />

sand<br />

Pipe<br />

(a) (b)<br />

Figure 12. Soil deformation: loose sand with gravel berm<br />

(C8) at different stages <strong>of</strong> <strong>the</strong> test.<br />

ra<strong>the</strong>r than <strong>the</strong> pipe diameter/embedment. The<br />

mobilised displacement ratios to peak load, δ/H ≈<br />

0.5 % and <strong>the</strong>se agree well with previous workers<br />

(eg. Matyas and Davis, 1983; Trautmann et al.,<br />

1985).<br />

As shown earlier, <strong>the</strong> uplift force for loose sand<br />

may be predicted conservatively using <strong>the</strong> vertical<br />

slip surface model (Majer; 1955) and using φ RQ WKH<br />

slip surface, and Ko = 1 – sin(φ WKH DW UHVW ODWHUDO<br />

earth pressure coefficient (Figure 4) despite <strong>the</strong><br />

different post-failure mechanism observed. The<br />

load-displacement response for <strong>the</strong> dense sand and<br />

gravel shows a peak uplift resistance before <strong>the</strong><br />

uplift resistance reduces to a residual value similar to<br />

<strong>the</strong> values for a loose sand. The dense soil sample is<br />

dilating, but <strong>the</strong>n post-peak strain s<strong>of</strong>tening reduces<br />

<strong>the</strong> mobilised angle <strong>of</strong> friction to φ’ as for <strong>the</strong> loose<br />

sand tests.<br />

5 SUMMARY AND CONCLUSIONS<br />

Tests have been carried out to study <strong>the</strong> uplift<br />

behaviour <strong>of</strong> pipelines in <strong>the</strong> laboratory and <strong>the</strong><br />

geotechnical centrifuge. The pipes were <strong>of</strong> prototype<br />

diameter 32 mm, 48 mm, 240 mm and 250 mm and<br />

soil conditions consisted <strong>of</strong> dry, loose or dense sand<br />

or gravel with or without a berm.<br />

Uplift factors are presented for <strong>the</strong> tests. Loose<br />

sand gave fd ≈ 0.5. Dense sand and gravel gave a<br />

peak uplift factor, fd > 1 on initial loading, but this<br />

reduced to a residual value, fd ≈ 0.6 after a<br />

displacement that may be proportional to <strong>the</strong><br />

diameter <strong>of</strong> <strong>the</strong> soil particles. For design, it is<br />

<strong>the</strong>refore important to ei<strong>the</strong>r know <strong>the</strong> density <strong>of</strong> <strong>the</strong><br />

seabed or o<strong>the</strong>rwise use a conservative uplift factor.<br />

The load-displacement behaviour <strong>of</strong> <strong>the</strong> pipes<br />

shows <strong>the</strong> displacement required to mobilise full soil<br />

resistance, δ/H ≈ 0.4 % for all loose sand tests. Peak<br />

load is mobilised more quickly in dense soil (δ/H ≈<br />

0.1 %).<br />

Soil deformation mechanisms were examined by<br />

taking digital photographs/video <strong>of</strong> <strong>the</strong> front face <strong>of</strong><br />

<strong>the</strong> test box. Photographs are presented which<br />

indicate soil displacement mechanisms after failure<br />

for <strong>the</strong> different soil types. These vary with initial<br />

soil density, but all included gap formation behind<br />

<strong>the</strong> pipe while <strong>the</strong> peak uplift force is being<br />

mobilised and soil flow around <strong>the</strong> pipe after failure.<br />

Results from centrifuge model tests with gravel<br />

berms showed a significant increase in uplift<br />

capacity (fd ≈ 0.8) but a less significant increase was<br />

found for sand berms. It is believed that dilation <strong>of</strong><br />

<strong>the</strong> berm during initial pipe displacement toge<strong>the</strong>r<br />

with <strong>the</strong> weight <strong>of</strong> <strong>the</strong> berm increases <strong>the</strong> uplift<br />

capacity.<br />

ACKNOWLEDGEMENTS<br />

The work described in this paper was supported by<br />

funds from Stolt <strong>Offshore</strong> and this support is<br />

gratefully acknowledged. The authors would like to<br />

thank Mr. Colin Fyfe and Dr. Shiping Yao for <strong>the</strong>ir<br />

hard work during <strong>the</strong> testing programme and to <strong>the</strong><br />

technical staff <strong>of</strong> <strong>the</strong> Department <strong>of</strong> Civil<br />

Engineering, University <strong>of</strong> Dundee for all <strong>of</strong> <strong>the</strong>ir<br />

help.<br />

REFERENCES<br />

Bransby, M.F., Newson, T.A., Brunning, P., Davies, M.C.R.<br />

(2001). Numerical and centrifuge modelling <strong>of</strong> <strong>the</strong> upheaval<br />

resistance <strong>of</strong> buried pipelines. Proc <strong>of</strong> OMAE pipeline<br />

symposium, Rio de Janeiro, June 2001.<br />

Dickin, E.A. (1994) Uplift <strong>Resistance</strong> <strong>of</strong> <strong>Buried</strong> Pipelines in<br />

Sand. Soils and Foundations, Vol.34, No.2, p 41-48.<br />

Finch. M, Fisher. R, Palmer A, and Baumgard. A, (2000). An<br />

Integrated Approach to Pipeline Burial in <strong>the</strong> 21 st Century,<br />

Deep <strong>Offshore</strong> Technology 2000.<br />

Majer, J. (1955) Zur berechnung von zugfundamenten.<br />

Osterreichister Bauzeitschift, 10, 5, p. 85-90.<br />

Matyas, E.L. & Davis, J.B. (1983) Prediction <strong>of</strong> vertical earth<br />

loads on rigid pipes. J. Geo. Eng. Div., ASCE, 109, GT2, p.<br />

190-201.<br />

Moradi, M. & Craig, W.H. (1998) Observation <strong>of</strong> <strong>Upheaval</strong><br />

Buckling <strong>of</strong> <strong>Buried</strong> Pipelines. Centrifuge 98, Kimura,<br />

Kusakabe & Takemura (eds), p 693-698.<br />

Ng, C.W.W. & Springman, S.M. (1994) Uplift <strong>Resistance</strong> <strong>of</strong><br />

<strong>Buried</strong> Pipelines in Granular Materials. Centrifuge 94, Leung,<br />

Lee& Tan (eds), p 753-758.<br />

Schaminee, P.E.L., Zorn, N.F. and Schotman, G.J.M. (1990)<br />

Soil Response for Pipeline <strong>Upheaval</strong> Buckling Analyses:<br />

Full-Scale Laboratory Tests and <strong>Modelling</strong>. OTC 6486, 22 nd<br />

Annual <strong>Offshore</strong> Technology Conference, Houston, Texas,<br />

May 7-10, 563-572.<br />

Sch<strong>of</strong>ield, A.N. (1980). Cambridge University Geotechnical<br />

Centrifuge Operations. Rankine lecture, Geotechnique 30,<br />

No. 3, pp. 227-268.<br />

Trautmann, C.H, O’Rourke, T.D. and Kulhaway, F.H. (1985)<br />

Uplift Force-Displacement Response <strong>of</strong> <strong>Buried</strong> Pipe. Journal<br />

<strong>of</strong> Geotechnical Engineering, Vol.111, No.9, p. 1061-1076.

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