If we have the following 2 different data set:
Date set 1:
Lab-scale Core samples average: 10 milli-Darcy
Field-scale Reservoir average: 100 milli-Darcy
with a relatively small standard deviation
Data set 2:
Lab-scale Core samples average: 10 milli-Darcy
Field-scale Reservoir average: 10 milli-Darcy
with a relatively large standard deviation
How should I delineate whether the reservoir property of interest (permeability) is scale-dependent or NOT?
What is the physical significance of having varying mean values of a reservoir property (k) from the laboratory-scale core samples and from a field-scale reservoir (with a smaller and a larger standard deviation)?