Multidarcy reservoirs are known to exist at depths of greater...

Multidarcy reservoirs are known to exist at depths of greater than 3000 m.

Here is one example:
OSEBERG FIELD
It is located offshore Norway. Located 115km from shore, in a water depth of 101m
Discovered in 1984 when Norsk Hydro drilled well 30/9-3.
Depth to oil/water contact ranges from 2300 to 3100m
Maximum sand thickness/oil column is 150-200m.
Porosity ranges from 18-22%.
Reservoir measures 18km by 15km.
Permeability ranges from 10-3000 mD.
The density of the oil is 31.1-39.4 degress API.