A homogeneous earth dam has a top width of 6 m and a height of 42 m with side slopes of 3 to 1 and 4 to 1 on the upstream side and downstream side respectively. The free board is 2 m. There is a horizontal filter at the base on the downstream side extending for a length of 60 m from the toe. If the coefficient of permeability of the soil is 9 × 10^–2 mm/s, find the quantity of seepage per day for 100 m length of the dam in l/s.

A homogeneous earth dam has a top width of 6 m and a height of 42 m with side slopes of 3 to 1 and 4 to 1 on the upstream side and downstream side respectively. The free board is 2 m. There is a horizontal filter at the base on the downstream side extending for a length of 60 m from the toe. If the coefficient of permeability of the soil is 9 × 10^–2 mm/s, find the quantity of seepage per day for 100 m length of the dam in l/s.

Principles of Geotechnical Engineering (MindTap Course List)

9th Edition

ISBN:9781305970939

Author:Braja M. Das, Khaled Sobhan

Publisher:Braja M. Das, Khaled Sobhan

Chapter7: Permeability

Section: Chapter Questions

Problem 7.3P

See similar textbooks

Similar questions

A homogeneous earth dam has a top width of 6 m and a height of 42 m with side slopes of 3 to 1 and 4 to 1 on the upstream side and downstream side respectively. The free board is 2 m. There is a horizontal filter at the base on the downstream side extending for a length of 60 m from the toe. If the coefficient of permeability of the soil is 9 × 10^–2 mm/s, find the quantity of seepage per day for 100 m length of the dam. a. 75 l/s b. 45 l/s c. 60 l/s d. 90 l/s
A homogeneous earth dam has a top width of 6 m and a height of 42 m with side slopes of 3 to 1 and 4 to 1 on the upstream side and downstream side respectively. The free board is 2 m. There is a horizontal filter at the base on the downstream side extending for a length of 60 m from the toe. If the coefficient of permeability of the soil is 9 × 10^–2 mm/s, find the quantity of seepage per day for 100 m length of the dam.
An earth dam is built on an impervious foundation with a horizontal filter at the base near the toe. The permeability of the soil in the horizontal and vertical directions are 3 × 10^–2 mm/s and 1 × 10^–2 mm/s respectively. The full reservoir level is 30 m above the filter. A flow net constructed for the transformed section of the dam, consists of 4 flow channels and 16 head drops. Estimate the seepage in m3/s loss per meter length of the dam.
For a homogeneous earth dam 32 m high and 2 m free board, a flow net was constructed with four flow channels. The number of potential drops was 20. The dam has a horizontal filter at the base near the toe. The coefficient of permeability of the soil was 9 × 10^–2 mm/s. Determine the anticipated seepage in m^3/s, if the length of the dam is 100 metres.
An earth dam is built on an impervious foundation with a horizontal filter at the base near the toe. The permeability of the soil in the horizontal and vertical directions are 3.2 x 10^-2 and 1.5 x 10^-2 mm/sec respectively. The full reservoir level is 30 m above the filter. A flow net constructed for the transformed section of the dam, consist of 5 flow channels and 13 potential drops. Estimate the seepage loss in m^3/s/m. a.3.692 x 10^-4 b.1.731 x 10^-4 c.2.527 x 10^-4 d.5.456 x 10^-4
A concrete dam is 30 m long from upstream side to downstream end. The dam is situated on a 15-m-thick stratum of soil that has a coefficient of permeability equal to 0.5 m per day. Firm, hard clay and rock underlies thedescribed soil stratum. The base of the dam is installed at a level 2 m below the natural soil surface. Draw the flow net for seepage occurring beneath the dam, and compute the seepage in cubic meters per day per meter ofdam width (perpendicular to the paper), for the condition where the reservoir water against the upstream face of the dam is 18 m above the soil surface and the water level at the downstream end is at the soil surface.
A double wall sheet pile coffer dam retains a height of water 9 m on one side. A flow net constructed for this structure, driven into a pervious deposit overlain by an impervious ledge, consists of five flow channels and fifteen potential drops. The length of the coffer dam is 90 metres.If the coefficient of permeability of the pervious deposit is 10^–2 mm/s determine the seepage in cubic metres per day. a. 621.4 m^3/s b. 946.5 m^3/s c. 101.0 m^3/s d. 233.3 m^3/s
A double wall sheet pile coffer dam retains a height of water 9 m on one side. A flow net constructed for this structure, driven into a pervious deposit overlain by an impervious ledge, consists of five flow channels and fifteen potential drops. The length of the coffer dam is 90 meters. If the coefficient of permeability of the pervious deposit is 10^–2 mm/s.Determine the seepage in cubic meters per day.
The final flow net for the dam (Fig.) with a steel sheet pile cutoff wall located at the head-water side of the dam in order to reduce seepage loss. The dam is half a kilometer in width (shore to shore) and the permeability of the silty stratum is 3.5 x 10-4 cm/s. Find the total seepage loss under the dam in liters per year, and would the dam be more stable if the cutoff wall was placed under its tail-water side?
For a homogeneous earth dam 52 m high and 2m free board, a flow net was constructed and following results were obtained:Number of equipotential drops= 25Number of flow channels 4The dam has a horizontal filter of 40m length at its downstream end. If coefficient of permeability of the dam material is 3x 10 cm/sec, then find thedischarge per meter length of the dam.
A V-notch-shaped bed of trough with a 30" diameter receives backwashing water from a filter layer with a 2 m width and 3 m length. The breadth of the trough is about equal to its depth. Backwashing occurs at a rate of 0.6 m/min. Construct the trough with a maximum flow rate equal to the backwashing rate.
A permeable soil layer is underlain by an impervious layer as shown. For permeable layer K=4.8x10-3 cm/sec. If H = 3 m and α = 5˚ (See picture below) Determine the hydraulic gradient Determine the cross-sectional area of the permeable soil layer. Determine the rate of seepage in cm3/hr/meter.