Page 136 - Fair, Geyer, and Okun's Water and wastewater engineering : water supply and wastewater removal
P. 136

JWCL344_ch03_061-117.qxd  8/17/10  7:48 PM  Page 98







                    98  Chapter 3  Water Sources: Groundwater
                                         production well. The curve is extended to cover the maximum available drawdown. For
                                         a well receiving water from more than one aquifer, the resultant specific capacity is the
                                         sum of the specific capacities of the aquifer penetrated, reduced appropriately for par-
                                         tial penetration.


                    3.15.3 Maximum Yield
                                         The following procedure is carried out to estimate the maximum yield of a well:
                                             1. Calculate the specific capacity of the fully penetrating well having the proposed
                                                diameter from Eq. 3.15 or Eq. 3.18.
                                             2. Reduce the specific capacity obtained above for partial penetration. This can be
                                                done by using Eq. 3.41.
                                             3. Adjust the specific capacity for the desired duration of pumping from Eq. 3.40.
                                             4. Calculate the maximum available drawdown.
                                             5. Compute the maximum yield of the well by multiplying the specific capacity in
                                                step 3 by the maximum available drawdown.






                     EXAMPLE 3.9 COMPUTATION OF THE SPECIFIC CAPACITY OF A WELL AND ITS MAXIMUM YIELD
                                         A well having an effective diameter of 12 in. (305 mm) is to be located in a relatively homogeneous
                                                                                        3
                                         artesian aquifer with a transmissivity of 10,000 gpd/ft (124.18 m /d/m) and a storage coefficient of
                                               4
                                          4   l0 . The initial piezometric surface level is 20 ft (6.1 m) below the land surface. The depth to
                                          the top of the aquifer is 150 ft (45.72 m) and the thickness of the aquifer is 50 ft (15.24 m). The well
                                          is to be finished with a screen length of 20 ft (6.1 m). Compute the specific capacity of the well and
                                          its maximum yield after 10 days of pumping. Neglect well losses.
                                          Solution 1 (U.S. Customary System):
                                          The specific capacity of a l2-in., fully penetrating well after 40 days of pumping can be calculated
                                          from Eqs. 3.15 and 3.16:
                                                                       s   114.6 QW(u)>T                    (3.15)
                                                                                   2
                                                                       u   1.87(S>T)(r >t)                  (3.16)
                                                                           4
                                                                        4
                                                                                2
                                                           u   1.87(4   l0 >10 )(0.5 >10)   1.87   l0  9
                                             From Table 3.2:  W(u)   19.52
                                                                                                    3
                                                 (Q>s)   T>114.6 W(u)   l0,000>(114.6   19.52)   4.47 gpm/ft (80 m /d/m)
                                             The percentage of aquifer screened is K p   20>50   40%
                                             The slenderness of the well factor is b>r w   50>0.5   100
                                             The value of F p from Fig. 3.12 is 0.65
                                                                                                        3
                                             The expected specific capacity of the well   0.65   4.47   2.9 gpm/ft (51.87 m /d/m)
                                             The maximum available drawdown   150   20   130 ft (39.62 m)
                                                                                              3
                                             The maximum yield of the well   130   2.9   377 gpm (2,055 m /d)
                                             In view of the approximations involved with the evaluation, the actual maximum yield will be
                                                                                 3
                                         between perhaps 300 and 450 gpm (1,635 and 2,453 m /d).
   131   132   133   134   135   136   137   138   139   140   141