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178   Machine learning for subsurface characterization


            few depths in the middle shale that exhibits KC-index of 3 and the upper and
            lower shales exhibit KC-index of 1 for the entire depth.
               The KC-index, R-index, and MD-index are shown in Fig. 6.2 for purposes
            of comparison. The KC-index shows good agreement with the MD-index and
            R-index. Data points of upper and lower shales, where MD-index indicates
            low miscible-recovery potential, exhibit KC-index of 1, which is the least
            suitable for the light-hydrocarbon injection. KC-index in the middle
            shale shows a trend consistent with MD-index, as shown in Fig. 6.2.
            Layers in the middle shale with high values of MD-index and R-index
            have KC-index of 3 and 4, whereas layers with lower MD-index value
            have KC-index of 2. According to KC-index, around 40% and 50% of
            middle shale will demonstrate high and intermediate oil-recovery
            potentials when using light-hydrocarbon injection, respectively.

            6 Limitations

            There are few limitations of the proposed approach, especially those related to the
            assumptions of fluid properties, reservoir properties, and derivation of mean pore
            throat diameter in the absence of relevant laboratory data. Laboratory
            experiments and field studies are needed to further validate the predictions and
            input data related to the three indices. These indices are not based on actual
            measurements on fluid mobility, fluid displacement, and fluid trapping. MD-
            index is designed for formations where pore sizes are predominantly in the
            nanoscale range. For formations where pore sizes are large, pore-confinement
            effect will not produce a significant effect on the miscibility. MD-index is
            based on the analysis of microscopic displacement efficiency. However,
            parameters such as formation geometry, injector-producer orientations, API
            gravity, and fracture orientations that significantly influence miscible injection
            mechanism cannot be adequately addressed in the proposed method. The
            indices do not include the effects of (1) natural and induced fracture
            properties, (2) formation damage due to fracturing fluid, (3) gravity and
            capillary effects, and (4) temporal alterations in the spatial distribution of
            reservoir properties during production on the recovery potential. Few
            limitations of the R-index are as follows: (1) It is difficult to design
            experiments or develop theoretical formulations to determine the weights to be
            assigned to the ranking parameters, and (2) the interdependence of the ranking
            parameters is ignored. For KC-index, one limitation is that the cluster centers
            do not represent a real sample; as a result, the properties corresponding to the
            cluster center are unreliable in terms of their absolute value. Nonetheless, the
            relative values of cluster centers are indicative of EOR potential along the
            well length of the shale formation.


            7 Conclusions

            Wireline log-derived EOR-efficiency indices can be implemented for the
            identification of flow units in shale formations that are suitable for EOR
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