A method of recovering oil from a heterogeneous reservoir, comprising a plurality of permeable porous blocks of rock whose pores contain oil and which form interfaces with regions between the blocks, e.g. fractures, having a higher permeability than the blocks. Treating the interfaces such that the wettability of the surfaces of the blocks is in a predetermined wettability range, then reducing the permeability in the highly permeable regions, and finally flooding the reservoir by injecting a chase fluid into the reservoir. With the present method, water phase bridges are established between adjacent blocks in the reservoir thus allowing a transmission of injection pressure for viscous displacement from one block to the next across the reservoir. A method for long-time storage of CO2 by using CO2 as chase fluid or foaming gas according to the present method for oil recovery from heterogeneous reservoirs.