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IX Conclusions

[10.2.2.1] This article has studied the process dependence of capillary desaturation curves S(\mathrm{Ca}) from the perspective of established theory and uncovered several new results. [10.2.2.2] It has introduced a mathematical expression for S(\mathrm{Ca}) in terms of relative permeabilities and normalized capillary pressure functions that has apparently remained unnoticed so far. [10.2.2.3] The article confirms the analysis of the traditional equations of motion by [32, 9] and accounts for all explicit and implicit dependencies during desaturation experiments within the limits of applicability of the generalized Darcy law and capillary pressure hypothesis. [10.2.2.4] The following new results have been obtained by combining Darcy’s law with microscopic arguments. [10.2.2.5] Firstly, this article provides predictive bounds on capillary number correlations (capillary saturation curves) for oil injection experiments. [page 11, §0]    [11.1.0.1] Secondly, it proposes new capillary saturation experiments with oil injection instead of water injection. [11.1.0.2] Thirdly, the suggested novel CO/OI-protocol is expected to be dominated by flow processes involving mesoscale cluster rearrangement. [11.1.0.3] This is expected to allow for an evaluation and improved understanding of the emergence or not of mesoscale behaviour with a new mescopic length scale. [11.1.0.4] Fourthly, eq. (27) introduces a relation between capillary desaturation curves and the product k^{r}(S){P_{\mathrm{c}}}(S) that seems to have remained unnoticed so far. [11.1.0.5] Fifthly, the large variation of breakpoints in capillary desaturation curves has for the first time been partially explained as resulting from the factor k^{r}(S){P_{\mathrm{c}}}(S) in eq. (27). [11.1.0.6] Finally, the article analyzes the plateau saturation and breakpoint in capillary desaturation curves. [11.1.0.7] Based on the traditional two-phase flow theory the breakpoint may vary by several decades. [11.2.0.1] It is found that this variation depends not only on capillary number but also on protocol, initial conditions, boundary conditions and other details of the capillary desaturation experiment.