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A non-homogeneous soil deposit consists of a silt layer sandwiched between a fine-sand layer at top and a clay layer below. Permeability of the silt layer is 10 times the permeability of the clay layer and one-tenth of the permeability of the sand layer. Thickness of the silt layer is 2 times the thickness of the sand layer and two-third of the thickness of the clay layer. The ratio of equivalent horizontal and equivalent vertical permeability of the deposit is ___________________.
Correct answer is between '10.0,12.0'. Can you explain this answer?
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A non-homogeneous soil deposit consists of a silt layer sandwiched bet...
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Given information:
- The soil deposit consists of a silt layer sandwiched between a fine-sand layer at the top and a clay layer below.
- Permeability of the silt layer is 10 times the permeability of the clay layer.
- Permeability of the silt layer is one-tenth of the permeability of the sand layer.
- Thickness of the silt layer is 2 times the thickness of the sand layer.
- Thickness of the silt layer is two-thirds of the thickness of the clay layer.
Solution:
To find the ratio of equivalent horizontal and equivalent vertical permeability of the deposit, we need to determine the permeability values for each layer and calculate the equivalent permeability.
Step 1: Determine permeability values
Let's assume the permeability of the clay layer as 'k'.
- The permeability of the silt layer is 10 times the permeability of the clay layer, so the permeability of the silt layer is 10k.
- The permeability of the silt layer is one-tenth of the permeability of the sand layer, so the permeability of the sand layer is 100k.
- The permeability of the clay layer is 'k'.
Step 2: Determine thickness values
Let's assume the thickness of the sand layer as 'h'.
- The thickness of the silt layer is 2 times the thickness of the sand layer, so the thickness of the silt layer is 2h.
- The thickness of the silt layer is two-thirds of the thickness of the clay layer, so the thickness of the clay layer is (2h)/(2/3) = 3h.
Step 3: Calculate equivalent permeability
The equivalent horizontal permeability (Kh) is given by the sum of the product of each layer's permeability and the square of its thickness.
Kh = (k * h^2) + (10k * 2h^2) + (100k * h^2)
Kh = 3k * h^2 + 20k * h^2 + 100k * h^2
Kh = 123k * h^2
The equivalent vertical permeability (Kv) is given by the sum of the product of each layer's permeability and its thickness.
Kv = k * h + 10k * 2h + 100k * 3h
Kv = k * h + 20k * h + 300k * h
Kv = 321k * h
Step 4: Calculate the ratio
The ratio of equivalent horizontal and equivalent vertical permeability is given by:
Ratio = Kh / Kv
Ratio = (123k * h^2) / (321k * h)
Ratio = 123/321
Ratio = 0.383
The correct answer is not between 10.0 and 12.0. The ratio of equivalent horizontal and equivalent vertical permeability of the deposit is 0.383.
- The soil deposit consists of a silt layer sandwiched between a fine-sand layer at the top and a clay layer below.
- Permeability of the silt layer is 10 times the permeability of the clay layer.
- Permeability of the silt layer is one-tenth of the permeability of the sand layer.
- Thickness of the silt layer is 2 times the thickness of the sand layer.
- Thickness of the silt layer is two-thirds of the thickness of the clay layer.
Solution:
To find the ratio of equivalent horizontal and equivalent vertical permeability of the deposit, we need to determine the permeability values for each layer and calculate the equivalent permeability.
Step 1: Determine permeability values
Let's assume the permeability of the clay layer as 'k'.
- The permeability of the silt layer is 10 times the permeability of the clay layer, so the permeability of the silt layer is 10k.
- The permeability of the silt layer is one-tenth of the permeability of the sand layer, so the permeability of the sand layer is 100k.
- The permeability of the clay layer is 'k'.
Step 2: Determine thickness values
Let's assume the thickness of the sand layer as 'h'.
- The thickness of the silt layer is 2 times the thickness of the sand layer, so the thickness of the silt layer is 2h.
- The thickness of the silt layer is two-thirds of the thickness of the clay layer, so the thickness of the clay layer is (2h)/(2/3) = 3h.
Step 3: Calculate equivalent permeability
The equivalent horizontal permeability (Kh) is given by the sum of the product of each layer's permeability and the square of its thickness.
Kh = (k * h^2) + (10k * 2h^2) + (100k * h^2)
Kh = 3k * h^2 + 20k * h^2 + 100k * h^2
Kh = 123k * h^2
The equivalent vertical permeability (Kv) is given by the sum of the product of each layer's permeability and its thickness.
Kv = k * h + 10k * 2h + 100k * 3h
Kv = k * h + 20k * h + 300k * h
Kv = 321k * h
Step 4: Calculate the ratio
The ratio of equivalent horizontal and equivalent vertical permeability is given by:
Ratio = Kh / Kv
Ratio = (123k * h^2) / (321k * h)
Ratio = 123/321
Ratio = 0.383
The correct answer is not between 10.0 and 12.0. The ratio of equivalent horizontal and equivalent vertical permeability of the deposit is 0.383.
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A non-homogeneous soil deposit consists of a silt layer sandwiched between a fine-sand layer at top and a clay layer below. Permeability of the silt layer is 10 times the permeability of the clay layer and one-tenth of the permeability of the sand layer. Thickness of the silt layer is 2 times the thickness of the sand layer and two-third of the thickness of the clay layer. The ratio of equivalent horizontal and equivalent vertical permeability of the deposit is ___________________.Correct answer is between '10.0,12.0'. Can you explain this answer?
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A non-homogeneous soil deposit consists of a silt layer sandwiched between a fine-sand layer at top and a clay layer below. Permeability of the silt layer is 10 times the permeability of the clay layer and one-tenth of the permeability of the sand layer. Thickness of the silt layer is 2 times the thickness of the sand layer and two-third of the thickness of the clay layer. The ratio of equivalent horizontal and equivalent vertical permeability of the deposit is ___________________.Correct answer is between '10.0,12.0'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A non-homogeneous soil deposit consists of a silt layer sandwiched between a fine-sand layer at top and a clay layer below. Permeability of the silt layer is 10 times the permeability of the clay layer and one-tenth of the permeability of the sand layer. Thickness of the silt layer is 2 times the thickness of the sand layer and two-third of the thickness of the clay layer. The ratio of equivalent horizontal and equivalent vertical permeability of the deposit is ___________________.Correct answer is between '10.0,12.0'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A non-homogeneous soil deposit consists of a silt layer sandwiched between a fine-sand layer at top and a clay layer below. Permeability of the silt layer is 10 times the permeability of the clay layer and one-tenth of the permeability of the sand layer. Thickness of the silt layer is 2 times the thickness of the sand layer and two-third of the thickness of the clay layer. The ratio of equivalent horizontal and equivalent vertical permeability of the deposit is ___________________.Correct answer is between '10.0,12.0'. Can you explain this answer?.
A non-homogeneous soil deposit consists of a silt layer sandwiched between a fine-sand layer at top and a clay layer below. Permeability of the silt layer is 10 times the permeability of the clay layer and one-tenth of the permeability of the sand layer. Thickness of the silt layer is 2 times the thickness of the sand layer and two-third of the thickness of the clay layer. The ratio of equivalent horizontal and equivalent vertical permeability of the deposit is ___________________.Correct answer is between '10.0,12.0'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A non-homogeneous soil deposit consists of a silt layer sandwiched between a fine-sand layer at top and a clay layer below. Permeability of the silt layer is 10 times the permeability of the clay layer and one-tenth of the permeability of the sand layer. Thickness of the silt layer is 2 times the thickness of the sand layer and two-third of the thickness of the clay layer. The ratio of equivalent horizontal and equivalent vertical permeability of the deposit is ___________________.Correct answer is between '10.0,12.0'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A non-homogeneous soil deposit consists of a silt layer sandwiched between a fine-sand layer at top and a clay layer below. Permeability of the silt layer is 10 times the permeability of the clay layer and one-tenth of the permeability of the sand layer. Thickness of the silt layer is 2 times the thickness of the sand layer and two-third of the thickness of the clay layer. The ratio of equivalent horizontal and equivalent vertical permeability of the deposit is ___________________.Correct answer is between '10.0,12.0'. Can you explain this answer?.
Solutions for A non-homogeneous soil deposit consists of a silt layer sandwiched between a fine-sand layer at top and a clay layer below. Permeability of the silt layer is 10 times the permeability of the clay layer and one-tenth of the permeability of the sand layer. Thickness of the silt layer is 2 times the thickness of the sand layer and two-third of the thickness of the clay layer. The ratio of equivalent horizontal and equivalent vertical permeability of the deposit is ___________________.Correct answer is between '10.0,12.0'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
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