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MEMBRANE  PROCESSES                  13,17



         Example:                                            Ooc (32OF
                                                                    2.9
                                                                    2.8
           Temp  =20°C              ~                     --  .   (   F)
             pH  = 7.6              ~                               2.7
            Ca +*  = 800 mg/L as CaCO.   ~                  10°C (50°1 =)
                                                                    2.6
           HCO 3  =774.8mg/LasCaCO  3   ~                 15.6oC(60oF""r-7~rr~
                                                                    2.5  m
            TDS  = 7853.6 mg/L (use 50()0 nag/L)  ~       ~ 1 1
                                                          -21.1°(:: (70°F)  2.4  ~
            pCa  = 2  10            ~
                 1"8 .                I  I  ILIJ.tg,.---"l~  I  IIIIIL  .....b--+"t'~l/
          pHCO, --2:3;                                         ! ooF)  2.3   ~,
                                                                       v
                                                                    2.2  =
            KLSIpH s  = :).10 + 1.81  + 2.37 = 6.28        2.2°(:: (90*[=
                                                                    2.1
            pH c  = 8.19            ~              I  ~  o  c  ~  i
                                                                    2.0
             LSI  = 8.19 - 6.28 = +1,91                     3oc (110o
                                                                    1.9
                                                                    1.8
                                                                    1.7
                     3.0 ~                               nn~
                        I,__~CO  3 -as mg/L CaCo 3       P'~=
                     2.0
                     10
                        1   2  3   5   10   2030  50  100  200   500  1000   5000
                                              mg/L
         FIGURE  13.13  Langelier  saturation  index.  (Adapted from DuPont  Permasep  Products  Engineering
         Manual, 1992.)
           The tendency to develop CaCO3  scale during the treatment of fresh and brackish wa-
        ters can be determined by calculating the Langelier saturation  index (LSI) of the concen-
        trate stream.
                          LSI =  pHc (of concentrate stream)  -  pHs
           Figure  13.13  presents  a nomograph that  can be used to determine LSI. For seawater
         desalting, the  Stiff and  Davis saturation  index (SDSI) is often used.  Figure  13.14  shows
         graphs  with which the SDSI K value can be determined.
           Control for CaCO3  scale can be achieved by using the following methods:
         •  Acidifying to reduce pH and  alkalinity
         •  Reducing calcium concentration by ion exchange or lime softening
         •  Adding  a  scale  inhibitor chemical  (anfiscalant)  to  increase  the  apparent  solubility of
          CaCO3  in the concentrate stream
         •  Lowering the design recovery
           Feedwater acidification is the  most widely used  method for controlling CaCO3  scal-
         ing.  Sulfuric acid is generally used because of its low cost and less hazardous  (nonfum-
         ing)  characteristics.  When  scaling from  sparingly  soluble  sulfate  salts  is  a  concern  and
         adding sulfate ions is undesirable,  hydrochloric acid should be considered.
           The need for acidification is lessened with the introduction of sodium hexametaphos-
         phate  (SHMP)  or polyacrylic acid or other types  of antiscalants.  Polyacrylic acid antis-
         calants  at dosages  of less than  5  mg/L typically can  provide scale control up to  an  LSI
         (or SDSI) value of about  +2.0.  Also, polyacrylic acid antiscalants  are often used at plants
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