Method for hydraulic communication with target well from relief well

A system and method for establishing hydraulic communication between a relief well and a target well, wherein the relief well intersects with the target well at an intersection point and the relief well includes a distal portion of the relief well that is deviated and intersects the first wellbore from below the intersection point. A directional drilling system and a magnetic ranging system may be used to guide the relief well from a kick-off point to the intersection point. The deviation angle between the two intersecting wells is at least 45 degrees, but may be approximately 90 degrees or obtuse. A deviated portion of the relief well includes a J-shaped or U-shaped trajectory, thus allowing the wellhead of the relief well to be located at a site removed from the wellhead of the target well, but still intersect the target well at a shallow true vertical depth.