If the specific yield of a particular sand is 30% and its porosity is 50%, then the specific retention of the sand will be

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BPSC AE Paper 6 (Civil) 14 Oct 2022 Official Paper
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  1. 80%
  2. 55%
  3. 40%
  4. 20%

Answer (Detailed Solution Below)

Option 4 : 20%
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Detailed Solution

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Concept:

Specific yield (Sy) is the ratio of the volume of water that drains from a saturated rock (due to gravity) to the total volume of the rock.

The Specific Retention (Sr) of a rock or soil is the ratio of the volume of water a rock can retain against gravity to the total volume of the rock.

Therefore, the total porosity is equal to the volume or water that a rock will yield by gravity drainage (Sy) and the volume held by surface tension (Sr) and is given as:

\({S_y} + {S_r} = \eta\)

Calculations:

Given:

Sy = 30%

η = 50%

\({S_y} + {S_r} = \eta\)

\(30\% + {S_r} = 50\%\)

\({S_r} = 50\% - 30\%\)

\({S_r} = 20\%\)

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