as dictated by the requirements of a particular installation fig5 shows a detailed partial front view of certain aspects of the geomembrane to concrete affixing system 100 the affixing member 120 is not shown to scale the gripping members 170 are shown embedded into the concrete 130 the geomembrane 110 is shown supported by the supporting substrate 140 a first sheet of the geomembrane 110 is shown arranged in an overlapping fashion to a second sheet of the geomembrane 110 in one preferred embodiment the first sheet may overlap the second sheet by a minimum of six inches however it is contemplated that the overlap distance may vary considerably fig6 8 illustrate in further detail one preferred embodiment of the affixing member 120 the height of each gripping extension 170 from the surface of the affixing substrate 150 may be within the range of 0 80 millimeter mm to 1 00 mm each of the gripping extensions 170 may comprise a rectangular cross section each of the gripping extensions 170 may taper in width as the height of each gripping extension 170 increases in relation to the surface of the affixing substrate 150 as shown in fig8 in a certain embodiment the gripping extensions 170 of the affixing member 120 shown in fig6 8 may be sized and arranged so that for each square centimeter cm 2 there are 84 gripping extensions 170 preferably arranged in a 6 by 14 layout per each square centimeter.