of the anchor portion 150 is defined between connection points 160 c and 160 d which has the band with the shortest length thus there is a proportional relationship between the length of the band 155 and the outer diameter of the band 155 after buckling occurs due to the expansion of the tubular 125 fig4 illustrates the bands 155 of the anchor portion 150 disposed on a portion of the tubular 125 the tubular 125 has an outer diameter b and a reduced outer diameter a in the embodiment shown the bands 155 are located on a portion of the tubular 125 that has the reduced outer diameter a one benefit of having a reduced outer diameter is that the open hole anchor 100 may have substantially the same outer diameter by the anchor portion 150 and the portion of the tubular 125 adjacent the anchor portion 150 which may allow the open hole anchor 100 to move through tight areas of the borehole 10 another benefit of having a reduced outer diameter is that the force required to expand the tubular 125 of the reduced outer diameter a will be less than the force required to expand a tubular with a larger diameter another benefit of having a reduced outer diameter is that the bands 155 are substantially protected against knocks and abrasion when running the anchor 100 into the borehole 10 in other embodiments the bands may be disposed on a portion of the tubular that has not been reduced or an upset portion or enlarged portion relative to other portions of the tubular fig5 illustrates the band 155 of the anchor portion 150.