A system and method for increasing hydrocarbon production from a subsurface reservoir by utilizing an intersection of two well bores and a flexible linear cutting device, such as a segmented diamond wire saw, to form a fissure beginning at the intersection of the well bores and extending along a specified the length of the well bores. The ends of the cutting device can be actuated above ground. The shape of the fissure can be a substantially ruled surface defined between the two bores between which the fissure is formed. Configurations for the well bores include both bores extending from the surface and, alternatively, a first bore extending from the surface and a second bore extending from a whipstock in the first bore. The fissure may be located and oriented to maximize the extent of the fissure formed within the hydrocarbon bearing horizon and to intersect with a maximum number of natural and/or previously formed fractures.