Methods for enhanced oil recovery (EOR) are disclosed that involve removal of oil from a reservoir that has an injection well, a producing well, and a plurality of lenses that contain oil and that each span between the injection well and the producing well. One method, among others, involves recovering primary oil from a primary set of lenses via the producing well by alternating injection one or more times of water and carbon dioxide into the injection well so that the water and carbon dioxide enter the primary set in a first direction and move the primary oil in the first direction. The method further involves recovering secondary oil from a secondary set of lenses that is different than the primary set via the injection well by alternating injection one or more times of water and carbon dioxide into the producing well so that the water and carbon dioxide enter the secondary set in a second direction that is different than the first direction (e.g., opposite) and therefore move the secondary oil in the second direction.