[10.2.2.1] This article has studied
the process dependence of capillary
desaturation curves SCa
from the perspective of established theory
and uncovered several new results.
[10.2.2.2] 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.
[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 krSPcS
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 krSPcS 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.