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166   Machine learning for subsurface characterization


            can achieve miscibility with the injected hydrocarbon, while the hydrocarbon
            residing in larger pores remains immiscible. The lack of miscibility results in
            interfacial tension and multiphase flow that reduces the displacement
            efficiency achieved by the injected light hydrocarbon.
               In shales, the free-oil volume cannot be considered as a direct indicator of
            microscopic displacement efficiency. Instead the fraction of free-oil volume
            that can achieve miscibility is a better indicator of the displacement
            efficiency in shales. The presence of movable water in the pores will
            adversely affect the displacement efficiency. However, bound water has
            complex effect on light-hydrocarbon injection. Several studies have come up
            with contradictory results [30]. Here, we assume that bound fluid has a
            negative effect on the displacement efficiency. Furthermore, kerogen content
            increases pore complexity, and pores are preferentially oil wettability,
            thereby reducing the displacement efficiency. Another adverse factor is the
            presence of bitumen. Dominant pore throat size is 5 nm in the upper and
            lower shales and 25 nm in the middle shale [14]. Bitumen have diameters
            ranging from 5 to 200 nm [31]. Bitumen will tend to clog pores and inhibit
            flow in the shales. Such complex interactions and dependencies mandate the
            construction of an index to better quantify the complex process of oil
            recovery due to light hydrocarbon injection.


            4.2 Calculation of the MD-index

            The calculation process for the MD-index is shown in Fig. 6.3. MD-index
            incorporates volume fraction of miscible free oil, bound fluid, movable
            water, and kerogen. MD-index is formulated as a simple ratio of positively
            affecting parameters to the adversely influencing parameters expressed as
                                             V o
                                   I MD ¼                               (6.5)
                                        ð V w + V b Þ V k
            where V o , V b , and V w is the pore volume fractions of miscible free oil, bound
            fluid, and movable water with respect to the bulk volume, V k is the kerogen
            volume fraction with respect to bulk volume, and I MD is the MD-index. The
            technical challenge is to accurately estimate the aforementioned properties.
















            FIG. 6.3 Procedure for the MD-index calculation.
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