𝑨𝒎𝒐𝒖𝒏𝒕 𝒐𝒇 𝑾𝒂𝒕𝒆𝒓 𝑹𝒆𝒒𝒖𝒊𝒓𝒆𝒅 𝒊𝒏 𝑳𝒊𝒕𝒓𝒆𝒔 ∶
= {[𝐷𝑒𝑠𝑖𝑟𝑒𝑑 𝑑𝑟𝑦 𝑑𝑒𝑛𝑠𝑖𝑡𝑦 𝑜𝑓 𝑆𝑜𝑖𝑙 𝑴𝑫𝑫 𝑖𝑛 𝑡𝑜𝑛𝑒𝑠 𝑝𝑒𝑟 𝑚3 ]
𝐷𝑒𝑠𝑖𝑟𝑒𝑑 𝑶𝑴𝑪 % − 𝐴𝑐𝑡𝑢𝑎𝑙 𝑭𝑴𝑪 %
× [ ]
𝟏𝟎𝟎
× [𝐶𝑜𝑚𝑝𝑎𝑐𝑡𝑒𝑑 𝑉𝑜𝑙𝑢𝑚𝑒 𝑜𝑓 𝑆𝑜𝑖𝑙 𝑸𝒖𝒂𝒏𝒕𝒊𝒕𝒚 𝑖𝑛 𝑚3 ]
× 𝟏𝟎𝟎𝟎 𝑙𝑖𝑡𝑟𝑒𝑠/𝑚3 }
∴ 𝑨𝒎𝒐𝒖𝒏𝒕 𝒐𝒇 𝑾𝒂𝒕𝒆𝒓 𝑹𝒆𝒒𝒖𝒊𝒓𝒆𝒅 𝒊𝒏 𝑳𝒊𝒕𝒓𝒆𝒔 ∶
3]
𝑶𝑴𝑪 % − 𝑭𝑴𝑪 %
[
= { 𝑴𝑫𝑫 𝑖𝑛 𝑡𝑜𝑛𝑒𝑠 𝑝𝑒𝑟 𝑚 × [ ]
𝟏𝟎𝟎
× [𝑸𝒖𝒂𝒏𝒕𝒊𝒕𝒚 𝑖𝑛 𝑚3 ] × 𝟏𝟎𝟎𝟎 𝑙𝑖𝑡𝑟𝑒𝑠/𝑚3 }
For Example:
Qty of earth work = 9,60,000 cum.
% OMC = 12.5
After soil test % OMC comes as per laboratory test = 8 to 9% ( say 8.9 %).
So OMC now = 12.5 - 8.9 = 3.6 % ( usually Depending on the soil type, an in-situ
moisture content deviating 2% to 4% from the optimum moisture content as
determined from the Proctor test, may create impossible conditions to achieve the
required compaction).i.e 3.6 % is ok.
Now, Qty = 9,60,000 x 3.6/100 = 34560 cum or 34560000 lit water required.
Now add evaporation losses @ 10%.
So, now the exact volume of water required for compaction of earth work is
3,80,16,000 lit.