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The purpose of this paper is to combine the approaches of patchy saturation and squirt flow into a consistent model valid over the full range of frequencies and saturations. Our view is that the patch effect results from systematic variations in the induced pore-pressure between the two fluids, and we capture this effect through a simple model depending on a single non-dimensional parameter. This model then allows us to calculate the squirt-flow behaviour through analysis of the average pressures in the two fluids. We illustrate the prediction of this new model in the context of the permeable Utsira sand found in the CO2 storage site of the Sleipner field (Arts et al., 2008). Assuming reservoir conditions, we predict velocity versus saturation for either liquid or supercritical CO2.

Wave-propagation in rocks saturated by two immiscible fluids