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Dry rock sample of diameter 50 mm and length 100 mm weighs 300 g. JAfter saturating in brine solution of specific gravity 1.05, its weight increased to 330g. The porosity of the rock sample in percentage?
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Dry rock sample of diameter 50 mm and length 100 mm weighs 300 g. JAft...
Calculation of Porosity of Rock Sample
Given Data:
- Diameter of Rock Sample (d) = 50 mm
- Length of Rock Sample (l) = 100 mm
- Weight of Dry Rock Sample (Wdry) = 300 g
- Weight of Saturated Rock Sample (Wsaturated) = 330 g
- Specific Gravity of Brine Solution (SG) = 1.05
Calculation:
- Volume of Rock Sample = π/4 x d2 x l
- Volume of Solid Material = Volume of Rock Sample x (1 - Porosity)
- Volume of Pore Space = Volume of Rock Sample x Porosity
- Weight of Solid Material = Weight of Dry Rock Sample / (1 - Porosity)
- Weight of Water = Weight of Saturated Rock Sample - Weight of Dry Rock Sample
- Volume of Water = Weight of Water / (SG x g)
- Porosity = Volume of Pore Space / Volume of Rock Sample x 100%
Substituting the values:
- Volume of Rock Sample = π/4 x 502 x 100 = 196349.54 mm3
- Volume of Solid Material = 196349.54 x (1 - Porosity)
- Volume of Pore Space = 196349.54 x Porosity
- Weight of Solid Material = 300 / (1 - Porosity)
- Weight of Water = 330 - 300 = 30 g
- Volume of Water = 30 / (1.05 x 9.81) = 2.7993 cm3
- Porosity = 2.7993 / 196349.54 x 100% = 0.0014%
Answer:
The porosity of the rock sample is 0.0014%.
Explanation:
Porosity is the percentage of pore space in a rock sample. It is calculated by dividing the volume of pore space by the total volume of the rock sample and multiplying by 100%. In this case, the rock sample was saturated in a brine solution, and the increase in weight was due to the water filling the pore space. By calculating the weight and volume of the solid material and water, we were able to determine the volume of pore space and calculate the porosity of the rock sample.
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Dry rock sample of diameter 50 mm and length 100 mm weighs 300 g. JAfter saturating in brine solution of specific gravity 1.05, its weight increased to 330g. The porosity of the rock sample in percentage?
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Dry rock sample of diameter 50 mm and length 100 mm weighs 300 g. JAfter saturating in brine solution of specific gravity 1.05, its weight increased to 330g. The porosity of the rock sample in percentage? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Dry rock sample of diameter 50 mm and length 100 mm weighs 300 g. JAfter saturating in brine solution of specific gravity 1.05, its weight increased to 330g. The porosity of the rock sample in percentage? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Dry rock sample of diameter 50 mm and length 100 mm weighs 300 g. JAfter saturating in brine solution of specific gravity 1.05, its weight increased to 330g. The porosity of the rock sample in percentage?.
Dry rock sample of diameter 50 mm and length 100 mm weighs 300 g. JAfter saturating in brine solution of specific gravity 1.05, its weight increased to 330g. The porosity of the rock sample in percentage? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Dry rock sample of diameter 50 mm and length 100 mm weighs 300 g. JAfter saturating in brine solution of specific gravity 1.05, its weight increased to 330g. The porosity of the rock sample in percentage? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Dry rock sample of diameter 50 mm and length 100 mm weighs 300 g. JAfter saturating in brine solution of specific gravity 1.05, its weight increased to 330g. The porosity of the rock sample in percentage?.
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