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IX Conclusions

[] This article has studied the process dependence of capillary desaturation curves SCa from the perspective of established theory and uncovered several new results. [] It has introduced a mathematical expression for SCa in terms of relative permeabilities and normalized capillary pressure functions that has apparently remained unnoticed so far. [] 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. [] The following new results have been obtained by combining Darcy’s law with microscopic arguments. [] Firstly, this article provides predictive bounds on capillary number correlations (capillary saturation curves) for oil injection experiments. [page 11, §0]    [] Secondly, it proposes new capillary saturation experiments with oil injection instead of water injection. [] Thirdly, the suggested novel CO/OI-protocol is expected to be dominated by flow processes involving mesoscale cluster rearrangement. [] 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. [] Fourthly, eq. (27) introduces a relation between capillary desaturation curves and the product krSPcS that seems to have remained unnoticed so far. [] Fifthly, the large variation of breakpoints in capillary desaturation curves has for the first time been partially explained as resulting from the factor krSPcS in eq. (27). [] Finally, the article analyzes the plateau saturation and breakpoint in capillary desaturation curves. [] Based on the traditional two-phase flow theory the breakpoint may vary by several decades. [] 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.