Page 498 - Rock Mechanics For Underground Mining
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     LONGWALL AND CAVING MINING METHODS
                                          It is essential to recognise that there is a relation between the natural rate of caving
              Figure 15.42 Vertical slice through
              a draw column in the early stages of  and the permissible rate of draw of the caved material. Consider a vertical slice of
              draw showing (a) caved ore to the cave  width, w, in a cave developing in an area under draw as shown in Figure 15.42a. If the
              back, (b) the formation of a small air
                                        slice is drawn down by a vertical distance, d, as in Figure 15.42b, caving can occur
              gap following draw, and (c) the filling
                                        above the slice until the space created by drawing is filled again as shown in Figure
              of the void following the next episode
                                        15.42c. During the process of caving, the ore will increase in volume, or bulk, with
              of caving (after Brown, 2003).
                                        an in situ volume, V , becoming a caved volume of V (1 + B) where B is the bulking
                                        factor, likely to be in the order of 0.2 or 20% for initial caving. If the in situ unit
                                        weight of the ore is  , the overall unit weight of the caved ore will be  /(1 + B).
                                          It will be noted that, in order for the cave to propagate, it is necessary that an air
                                        gap be created above the ore pile by drawing caved ore. However, in order to ensure
                                        that the cave is filled with each successive episode of caving and that an excessive air
                                        gap does not develop, the rate of draw must be related to the rate of caving and to the
                                        bulking factor, B. The volume of the air gap BCEF in Figure 15.42b and the volume
                                        of in situ ore BCC B in Figure 15.42c must together equal the bulked volume of the
                                        newly caved ore EFC B in Figure 15.42c. Thus
                                                                (c + d)w = c(1 + B)w
                                                                    or d = cB                        (15.16)
                                          This means that for caving to proceed as illustrated in Figure 15.42 so that a
                                        permanent air gap is not created, the volume drawn from the slice after each episode
                                        of caving should be only the difference between the in situ and bulked volumes of the
                                        newly caved ore, sometimes referred to as the swell. In other words, the time rate of
                                        volume draw, d, should be B times the time rate of caving by volume, c. If the time
                                        rate form of equation 15.16 is written in terms of tonnages using the relation volume
                                        = tonnes / unit weight, we obtain the result
                                                                  d t = c t B/(1 + B)                (15.17)
                                        where c t and d t are the time rates of caving and draw in terms of tonnages.
                                          There is sometimes a temptation to draw excessively from drawpoints that come
                                        into early production in a new operation or block in order to begin generating cash
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