Oh, I am sorry, I forgot to mention maybe the most important part, and that is that we have black oil, but we use compositional export of oil from PVTi (so we don't use BLACKOIL keyword in RUNSPEC section).
No matter, we tried different pvts, the ones from other fields that we are positive they work, relative permeability...
Now we handled gas injection by defining the composition of an injected gas, but still, that gas is injected until it wipes out all oil (Soil=0).
We also tried in one run injection of gas in one well and water injection of several others. In Floviz, it can be clearly seen that around water injectors, Soil is as it should be (Soil=0.3) and around gas injector it is as I already said, zero.
Anyways, thanks for the answers!

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