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Pr oject Considerations for Horizontal Dir ectional Drilling   223


                           Pipe Diameter to Thickness Ratio (DR)
      Duration      7.3      9      11    13.5    15.5   17    21
      Short term   2896    1414    724    371     238   177    91
      1 hour       1714     837    429    219     141   105    54
      10 hours     1436     702    359    184     118     88   45
      100 hours    1205     588    301    154      99     74   38
      1000 hours   1019     498    255    131      84     62   32
      1 year        880     430    220    113      72     54   28
      50 years      649     317    162     83      53     40   20

     TABLE 5.1  Ideal Critical Pressure (Water Head, ft) for Unconstrained HDPE Pipe
     (73° F)

          during which the drilling fluid applies hydrostatic pressure on the
          pipe, subsequent to which it is conveniently assumed to thicken and
          actually provide support against possible earth-imposed loads, or by
          which time the soil has locally redistributed is relaxed around the
          pipe to provide some lateral support against buckling. For this post-
          installation phase, the tension reduction factor, f , is equal to 1.0.
                                                  R
             Based upon the ovality reduction factor dependency trend pro-
          vided in  ASTM F1962, and consistent with the present simplified
          approach, it is reasonable to assume a maximum overall value of f  of
                                                                 o
          approximately 0.5 to account for ring deformation due to initial oval-
          ity plus the value induced by installation or post-installation load-
          ings. Such deflections may be induced by bending, aggravated by ten-
          sion-induced wall bearing pressure, or possible postinstallation soil
          loads.
             The greater collapse strength at 1 to 10 hours relative to that at
          1000 hours, would tend to be offset somewhat by the tension reduc-
          tion factor, f , during installation as well as the degradation at possi-
                    R
          ble elevated temperature as the polyethylene pipe rests on the surface
          prior to installation. However, these latter degrading effects would
          not be experienced simultaneously, or with the pipe being placed
          at its maximum depth and distance. Therefore, the 1000-hour (postin-
          stallation) collapse characteristics, as adjusted, are conveniently
          employed to evaluate the vulnerability to collapse. Based upon the
          above discussion, Eq. 5.23 is derived
                H (ft) = 1000-hour water head · f · f /γ
                                           o  R  b
                     = 1000-hour water head · (0.5) · (1.0)/(1.5)
          or,
                       H (ft) = 1000-hour water head/3.0       (5.23)

          where H is the allowable head of drilling fluid (ft) (i.e., maximum
          pipe depth).
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