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174   Machine learning for subsurface characterization




































            FIG. 6.6 Free oil-filled pore size distribution of (A) upper, (B) middle, and (C) lower shales along
            with MMP of injected hydrocarbon and in situ oil mixture in the presence of pore-confinement
            effect.

            calculated surface relaxivity, the measured T2 distribution can be transformed
            into pore size distribution at each depth using Eq. (6.6).
               The calculated free oil-filled pore size distributions for the shale formation
            are shown in Fig. 6.6. The MMP of the formation considering the pore-
            confinement effect is also calculated and presented in Fig. 6.6. The MMP is
            calculated using the WinProp software with the method presented by Teklu
            et al. [29] for various compositions of injected gas and a specific
            composition of oil present in the shale formation. The in situ oil composition
            is obtained from Nojabaei et al.’s [38] research. The MMP line as a function
            of pore diameter can be compared with the free-oil distribution data obtained
            using the Jain et al.’s [32] NMR factor analysis to determine the volume
            fraction of oil that can achieve miscibility under certain reservoir pressure.
            For instance, as shown in Fig. 6.6B, when the injected hydrocarbon contains
            70% C1 and 30% C2 under a reservoir pressure of 3000 psi, the critical pore
            diameter to achieve miscibility in the middle shale is 10 nm. Above this
            critical pore diameter, MMP will be higher than reservoir pressure. Only the
            oil that resides in pores with a diameter smaller than 10 nm (shadowed part)
            can achieve miscibility under this circumstance. Therefore, using this
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