In the first article, we described flow properties and flow mechanisms of CO
2 in porous sandstones in most of the potential reservoirs. The flow and trapping of CO
2 in porous sandstones are primarily controlled by capillary pressure and the different scales of inhomogeneity in geomaterials: from pore networks to geological structures. Following the view points in the first article, we present our experimental investigation on the relationship between P-wave velocity and CO
2 saturation in a porous sandstone. We conducted a simultaneous measurement of P-wave velocity and mapping of CO
2/brine saturation in a rock sample by employing a medical X-ray CT scanner and a pressure vessel that was designed for velocity measurements during fluid injection into a rock sample. The P-wave velocity and CO
2/brine saturation relationship differs between CO
2 drainage and brine imbibition, suggesting that CO
2 saturation in rock cannot be uniquely determined by P-wave velocity. We tried to interpret the non-unique relationship by applying a continuous random patchy saturation model, which is essentially a combined model of poroelasticity and the theory of seismic wave scattering in random inhomogeneous media. To understand the model, we first present the basic relationships for describing elasticity in fluid-saturated porous media. Then we present an example which is interpreted by employing the random patchy saturation model. In the last, we discuss applications of the relationships for CO
2 storage reservoirs.
Followings are the points of this article: 1. Clusters of CO
2 exist in pores and form P-wave velocity inhomogeneity in brine saturated rock. 2. The relationship between P-wave velocity and CO
2 saturation depends on the sizes of CO
2 clusters in pores. 3. The scattered Biot slow wave (the second-kind wave) appears due to the velocity inhomogeneity, which is responsible for velocity changes in CO
2/brine saturated porous rock. 4. The relationship between P-wave velocity and CO
2 saturation in pore depends on the relationship between characteristic cluster size and the wave number of P wave. 5. When considering the relationship between CO
2 saturation and P-wave velocity in a reservoir, all scales of inhomogeneity, from pore size to geologic scales, should be considered because of the regional bias of the CO
2 saturation.
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