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= 25 Number of flow channels 4 The 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 the discharge per meter length of the dam.

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= 25 Number of flow channels 4 The 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 the discharge per meter length of the dam.

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 7.4P

See similar textbooks

Similar questions

Given the coefficient k =0.05 m/s and porosity p = 48%, find thetransmissibility (T) in m/s per unit m, if the aquifer width is 1.2 m.Formula: - It is the flow rate per day thru a unit areaunder a unit hydraulic gradient For an aquifer with thickness, Band width, X:T = K*B and Ag = BXThus: Q = (T*X*S)
For the two-dimensional flow system shown below (units in meters):Compute the total flow rate under the Dam. X = 4, Y = 8. Note 1: Point A is located in the middle point of the equipotential lines. Point B is located in the middle point of the flow lines.Note 2: Assume e=0.8 (void ratio) and k=10^-3 cm/s (coeff. of permeability).Note 3: Datum is located at the bottom level of the water (right side of Dam).Note 4: Remember, the figure is drawn to scale. So, use the value of 2X+Y to estimate any dimension that you consider necessary.
The dam shown has a base of which 2m below the ground surface. The pressure distribution diagram at the base of the dam can be obtained from the equipotential lines as follows: k=4.5 m/day. if H=6m determine the seepage through the foundation.
Find the rate of flow in m^3/sec/m (at right angles to the cross-section shown in Figure 7.33) through the permeable soil layer. Given: H 4 m, H1 2 m, h 2.75 m, S 30 m, a 14°, and k 0.075 cm/sec.
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.
The following figure shows and inclined aquifer at 100 to the horizontal. The difference in water level between to observation points of 60 m is 5 m. Determine the discharge through the aquifer per unit width if k = 0.7 mm/sec. The depth of aquifer normal to the direction of flow is 2.95
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.
A triangular SCS hydrograph (with excess rainfall Re=10mm and duration D=1hr) U(1,t) is illustrated below. The basin area is 24 km2.1.Estimate the values of Tc, Tp, Tr, Tb, and Qp.2.Determine U(2,t) by using the S-hydrograph method.
CALCULATION USING DARCY'S LAW An aquifer system is formed by two horizontal layers. Two piezometers were installed for monitoring, the distance between them is 885m. The upper layer (A) has a thickness of 39m and K = 1.3 x 10-5 m/s and the lower layer (B) has a thickness of 25m and K = 2.7 x 10-6 m/s. THE hydraulic load in the PZA is 60m and in the PZB it is 40m. Calculate the flow and the transmissivity of each layer.
For a typical sand and gravel aquifer, estimate the one-year travel distance for water when the hydraulic gradient is 0.0003 m/m.
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.
Find the rate of flow in m3/sec/m through the permeable soil layer. Given: H = 5.5 m, H1 = 2 m, h = 3.5 m, S = 40 m, a = 17°, and k = 0.085 cm/sec.