Authors: Fjær, E; Papamichos, E


Cite As:
Fjær, E & Papamichos, E 2008, 'The Variable Rate of Sand Production Captured by an Analytical Model', in Y Potvin, J Carter, A Dyskin & R Jeffrey (eds), SHIRMS 2008: Proceedings of the First Southern Hemisphere International Rock Mechanics Symposium, Australian Centre for Geomechanics, Perth, pp. 355-368,

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An analytical model for the rate of sand production from cylindrical cavities has been calibrated on laboratory tests, and used for prediction of sand production under field-like conditions. The model is based on the assumption that sand production is driven by erosion from plastified material around the cavity. The model predicts, in agreement with field observations, that sand production may occur in different forms: It may be continuous, at a relatively constant rate; it may be transient, where continuous production at a declining rate follows a burst of sand, or it may be catastrophic, where sand is produced at a very high rate. The predictions are found to vary significantly, depending on rock type, in situ stress and pore pressure conditions, and well pressure and fluid flow rate.

Fjær, E., Cerasi, P., Li, L. and Papamichos, E. (2004) Modeling the Rate of Sand Production. ARMA/NARMS 04-589. Gulf Rocks 2004.
Fjær, E., Holt, R.M., Horsrud, P., Raaen, A.M. and Risnes, R. (2008) Petroleum Related Rock Mechanics. 2nd Edition. Elsevier, Amsterdam 491 p.
Haimson, B. and Kovacich, J. (2003) Borehole instability in high-porosity Berea sandstone and factors affecting dimensions and shape of fracture-like breakouts. Engineering Geology 69, pp. 219–231.
Hettema, M., Andrews, J., Blaasmo, M. and Papamichos, E. (2006) The relative importance of drawdown and depletion in sanding wells: Predictive models compared with data from the Statfjord field. 2006 SPE International Symposium and Exhibition on Formation Damage Control, Lafayette, Los Angeles, USA.
Papamichos, E., Vardoulakis, I., Tronvoll, J. and Skjærstein, A. (2001) Volumetric sand production model and experiment. Int. J. Numer. Anal. Methods Geomech. 25(8), pp. 789–808.
Papamichos, E., Stenebråten, J., Cerasi, P., Lavrov, A., Vardoulakis, I., Fuh, G-F., Goncalves, C.J. de C. and Havmøller, O. (2008) Rock type and hole failure pattern effects on sand production. ARMA 08-217. 42nd US Rock Mechanics Symposium and 2nd Canada–U.S. Rock Mechanics Symposium, San Francisco, June–July, 2008.

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