NOVELTY - The method involves directing a laser beam and one fluid e.g. water, into an orifice of a nozzle to form a fluid jet. The fluid jet is directed into an orifice of another nozzle. Another fluid is directed into an annulus surrounding the orifice of the latter nozzle to form an annular fluid jet surrounding the former fluid jet to form a laser compound annular fluid jet. The laser compound annular fluid jet is directed toward an object when the laser beam assists in removal of a portion of the object.    USE - Method for removing materials e.g. chips of rock, dust, rock fiber, wax and filter cake, from an object e.g. tubular structure such as casing, sub-sea riser, coiled tube, composite tube, vacuum insulated tube (VIT), production tube and piping in a borehole formed in earth, oil well, underground mine, natural gas well, geothermal well, subsea structure, building, protected military installation, nuclear reactor, offshore platform, ship, foundation, roadway, airstrip, cave and subterranean structure and concrete, and drill pipe in an offshore drilling rig (all claimed) such as fixed tower, tender, platform, barge, jack-up, floating platform, drill ship, dynamically positioned drill ship, semi-submersible and dynamically positioned semi-submersible and seafloor.    ADVANTAGE - The laser compound annular fluid jet is directed toward the object when the laser beam assists in removal of the portion of the object, thus precisely placing a hole of desired dimension in a well without risk of damage to other components within the wellbore safely and quickly while avoiding the need for explosive associated safety measures required on a job location for single shot application. The method enables minimizing water consumption and eliminating or reducing the need for hydraulic fracturing by deploying a laser tool to cut long slots extending along length direction of the well, thus providing increasing contact with a heat resource in single down hole operation.    DETAILED DESCRIPTION - INDEPENDENT CLAIMS are also included for the following:    (1) a method for cutting tubular structure associated with a borehole    (2) a method for cutting an object associated with a borehole    (3) a method for delivering a high power laser beam through a partially obstructing medium to an object    (4) a method for launching a high power laser beam into flowing liquid    (5) a method for removing material from a casing within a borehole to form a windowpane    (6) an apparatus for cutting tubular structure in a borehole, comprising a housing    (7) an apparatus for cutting an object associated with a borehole    (8) an apparatus for providing a laser waveguide compound fluid jet, comprising an inlet    (9) an apparatus for delivering a high power laser beam through an optically obstructive medium, comprising a housing    (10) a laser beam delivery system comprising a high power laser tool.    DESCRIPTION OF DRAWING(S) - The drawing shows a schematic view of a laser tool.    Casing (103)    Cement (104)    Laser tool (110)    Fluid lines (116, 117)    Laser tool housing (118)