2011
DOI: 10.1017/s0022112011000723
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Leakage from inclined porous reservoirs

Abstract: We investigate the effect of localized leakage on the storage of buoyant fluids in inclined porous reservoirs, with application to the geological storage of CO2. We find that once the current has propagated some distance beyond the point of leakage, its profile becomes steady in time, save for the nose, which advances at a constant speed. Crucially, this steady state implies that the efficiency of storage (defined as the instantaneous proportion of the injected fluid that does not leak) tends to a finite value… Show more

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Cited by 5 publications
(3 citation statements)
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“…This contrasts with leakage from a current within an inclined aquifer, where the depth of the current, and hence the pressure difference driving leakage, is limited by the along-slope component of gravity. Thus, the efficiency of storage is nonzero, E s (t → ∞) = constant, at long times (Zimoch et al 2011). These studies highlight the role of reservoir and leakage pathway properties along with the geometry of the reservoir.…”
Section: Containment and Leakage Of Comentioning
confidence: 81%
“…This contrasts with leakage from a current within an inclined aquifer, where the depth of the current, and hence the pressure difference driving leakage, is limited by the along-slope component of gravity. Thus, the efficiency of storage is nonzero, E s (t → ∞) = constant, at long times (Zimoch et al 2011). These studies highlight the role of reservoir and leakage pathway properties along with the geometry of the reservoir.…”
Section: Containment and Leakage Of Comentioning
confidence: 81%
“…For example, spatial correlation of the permeability ( k ) field as well as interconnectivity of high‐ k preferential flow pathways have a critical impact on CO 2 migration and trapping in saline aquifers [ Gershenzon et al ., ; Han et al ., ; Ide et al ., ; Lengler et al ., ; Tian et al ., ]. The modeling approach has also been followed, either numerically [ Buscheck et al ., ; Gasda et al ., ; Goater et al ., ; Yamamoto et al ., ] or analytically [ Gunn and Woods , ; Hesse et al ., ; MacMinn et al ., ; Zimoch et al ., ], to understand the behavior of a CO 2 plume in concomitance with regional groundwater flow and sloping caprock. Injection strategies aimed at enhancing the storage capacity and efficiency of saline formations have also been explored by means of numerical models [ Buscheck et al ., ; Cameron and Durlofsky , ; Shamshiri and Jafarpour , ; Cihan et al ., ; González‐Nicolás et al ., ; Huber et al ., ; Rasmusson et al ., ].…”
Section: Introductionmentioning
confidence: 99%
“…Also, various coating flows occur above porous substrates. Because the boundaries are porous, a variety of studies in recent years have analysed spreading gravity currents with leakage (Acton, Huppert & Worster 2001;Pritchard, Woods & Hogg 2001;Pritchard & Hogg 2002;Pritchard 2007;Neufeld, Vella & Huppert 2009;Spannuth et al 2009;Neufeld et al 2011;Vella et al 2011;Zemoch, Neufeld & Vella 2011;Zheng et al 2013). In this case, it is possible in some cases involving outward spreading to make a change of variables to arrive back at a PDE that again admits a similarity solution of the first kind (Pritchard et al 2001).…”
Section: Introductionmentioning
confidence: 99%