The present invention is directed to a method of increasing hydrocarbon production in an existing well in a hydrocarbon reservoir. The method includes the steps of forming a substantially horizontal transverse fractured wellbore that intersects the existing well and injecting a fluid remote from the existing well so as to form a fluid front that sweeps the hydrocarbons into the horizontal transverse fractured wellbore. Successive fractures can be sealed to control propagation of the fluid front and delay infiltration of the fluid into the production.