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Q12858 - INFO: LSI

LSI math toolbox equation returns a water stability index (Langelier Saturation Index) given a pH, TDS, Calcium, and Water Temperature (Deg C).  The Langelier Saturation Index (LSI) is a means of evaluating water quality data to determine if the water has a tendency to form a chemical scale. In order to use this index, the following laboratory analysis are needed: pH, conductivity, total dissolved solids, alkalinity, and total hardness.
In manipulating the data, the actual pH of the water is compared to the theoretical pH (pHs) based on the chemical analysis. The LSI formula:


LSI(pH, TDS,DegC, Calcium, Alkalinity )
where :

  • pH : A variable reference (V) or constant for the pH
  • TDS: A variable reference (V) or constant for the Total Dissolved Solids (mg/L)
  • Calcium: A variable reference (V) or constant for the Calcium (mg/L)
  • Alkalinity: A variable reference (V) or constant for the Alkalinity (mg/L)
  • DegC: A variable reference (V) or constant for the water temperature (deg C)


WIMS calculates LSI based on the following equation:

LSI = pH - pHs

The Saturation Index is typically either negative or positive and rarely 0. A Saturation Index of zero indicates that the water is “balanced” and is less likely to cause scale formation. A negative LSI suggest that the water is would be undersaturated with respect to carbonate equilibrium and the water may be more likely to have a greater corrosive potential..
Corrosive water can react with the household plumbing and metal fixtures resulting in the deterioration of the pipes and increased metal content of the water. This reaction could result in aesthetic problems, such as bitter water and stains around basins/sinks, and in many cases elevated levels of toxic metals. A positive SI suggests that water may be scale forming. The scale, typically a carbonate residue, could clog or reduce the flow in pipes, cause buildup on hot water heaters, impart an alkali taste to the water, reduce the efficiency of the water heaters, and cause other aesthetic problems.

· pH is the measured water pH

· pHs is the pH at saturation in calcite or calcium carbonate and is defined as:

pHs = (9.3 + A + B) - (C + D)


A = (Log 10 [TDS] - 1) / 10

B = -13.12 x Log10 (oC + 273) + 34.55

C = Log10 [Ca2+ as CaCO3] - 0.4

D = Log10 [alkalinity as CaCO3]

See also: CCPP



V4744 =  LSI(V4739,V4740,V4741,V4742,V4744)


V4739 is pH
V4740 is Total Dissolved Solids (mg/l) 
V4741 is Water Temp in Deg C
V4742 is Calcium Hardness as CaCO4 mg/L
V4744 is Alkalinity (mg/l)



For further information about the Langelier Saturation Index:



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Created on 1/28/2010 2:44 PM.
Last Modified on 11/6/2015 2:20 PM.
Last Modified by Scott Dorner.
Article has been viewed 7008 times.
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