A method for accessing a subterranean zone from the surface includes drilling a substantially vertical well bore from the surface to the subterranean zone and forming a slot cavity in the substantially vertical well bore proximate to the subterranean zone. The slot cavity comprises a substantially non-cylindrical shape. The method also includes drilling an articulated well bore from the surface to the subterranean zone. The articulated well bore is horizontally offset from the substantially vertical well bore at the surface and intersects the substantially vertical well bore at a junction proximate to the subterranean zone. The method may include drilling the articulated well bore to intersect the slot cavity of the substantially vertical well bore and drilling a substantially horizontal drainage pattern from the slot cavity into the subterranean zone. The subterranean zone may comprise a coal seam.