2004
DOI: 10.1111/j.1365-3091.2004.00608.x
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On steady homogeneous sand–water flows in a vertical conduit

Abstract: In this paper, an idealized model of the steady-state phase of the flow in a vertical conduit leading to a sand volcano eruption is developed from first principles. The model assumes that a sand-water mixture flows upwards, driven by an overpressure at the base of a vertical cylindrical conduit (or a twodimensional fracture) and opposed by gravity, viscous resistance and turbulent drag. The conditions for flow are analysed in detail, and the mechanisms controlling the eruption rates are studied quantitatively.… Show more

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Cited by 20 publications
(13 citation statements)
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“…The velocity of a water jet that succeeded in penetrating soft rocks varied from 92 to 200 m s −1 and was associated with pressure between 5 and 22 MPa (Momber 2004). The predicted velocity for sand liquefaction is about 2 m s −1 (Gallo & Woods 2004), which is within the lower range of velocities that were obtained in the present study for clastics injected into dykes.…”
Section: Discussionsupporting
confidence: 86%
See 3 more Smart Citations
“…The velocity of a water jet that succeeded in penetrating soft rocks varied from 92 to 200 m s −1 and was associated with pressure between 5 and 22 MPa (Momber 2004). The predicted velocity for sand liquefaction is about 2 m s −1 (Gallo & Woods 2004), which is within the lower range of velocities that were obtained in the present study for clastics injected into dykes.…”
Section: Discussionsupporting
confidence: 86%
“…The models of this study calculate the velocities needed to obtain a turbulent flow, and based on these velocities, determine the pressures that are also consistent with that needed to dilate the fractures. The obtained pressures for the present geological setting and mechanical approach are about one order of magnitude higher than those of Gallo & Woods (2004). Jolly & Lonergan (2002) calculated an overpressure of several MPa for a sandy source layer at hundreds of metres below the surface.…”
Section: Driving Pressures and Injection Velocitiesmentioning
confidence: 55%
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“…Maltman, 1994; Jolly & Lonergan, 2002; van Rensbergen et al. , 2003; Gallo & Woods, 2004; Hurst et al. , 2006; Vigorito et al.…”
Section: Introductionmentioning
confidence: 99%