The soil under a dam consists of five layers as follows:Hydraulic conductivity(cm/hr)LayerDepth (m)154.8228.030.618.041.03.053.51Calculate:v What is the average vertical (perpendicular to flow) hydraulic conductivity of the soil?V What is the transmissivity of the soil, given the water table is at the ground surface?

given data: k1=5 cm/hrk2=2 cm/hrk3=0.6 cm/hrk4=1 cm/hrk5=3.5 cm/hr

Layer Hydraulic conductivity (cm/hr) Depth (m) 1 5 4.8 2 8.0 3 0.6 18.0 4 1.0 3.0 5 3.5 1 Calculate: What is the average vertical (perpendicular to flow) hydraulic conductivity of the soil? V What is the transmissivity of the soil, given the water table is at the ground surface?

Layer Hydraulic conductivity (cm/hr) Depth (m) 1 5 4.8 2 8.0 3 0.6 18.0 4 1.0 3.0 5 3.5 1 Calculate: What is the average vertical (perpendicular to flow) hydraulic conductivity of the soil? V What is the transmissivity of the soil, given the water table is at the ground surface?

Fundamentals of Geotechnical Engineering (MindTap Course List)

5th Edition

ISBN:9781305635180

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter8: Stresses In A Soil Mass

Section: Chapter Questions

Problem 8.14P

See similar textbooks

Related questions

Q: Recharge EL 65 m El. 60 m 1.325 km 25 m

Q: With the measurements in the following table, calculate the soil moisture flux q (cm/day) between…

Q: Q1.An aquifer has following different formations, their thickness and Hydraulic conductivity are…

A: Hydraulic Conductivity can be defined as the velocity of flow which would occur under unit hydraulic…

Q: A soil sample 10 cm in diameter is placed in a tube 1.2 m long. A constant supply of water is…

Q: H, H, k, ered soil is shown in the figure above. Estimate the equivalent hydraulic conductivity for…

Q: The section through a dam spillway is shown in Figure 1. Determine the following 1. Quantity of…

A: Data given k= 2.5 x 10-5 m/s

Q: a clay layer above the groundwater table. For the following variables, calculate and plot o, u, and…

Q: 4. A confined aquifer underlies an unconfined aquifer as shown. 35 m K1 =35 m/day 55 m 42 m 35 m K2…

A: a)Equivalent horizontal coefficient of permeability: KH=K1H1+K2H2H1+H2KH=35×35+35×2035+35 =27.5…

Q: soil sample 15 cm in diameter is placed In a tube 2 m long. A constant supply of water is allowed to…

Q: From the figure shown, the thickness of permeable layer is 1.1m making an angle of 14 degrees with…

Q: 7.8 The following data are for a falling-head permeability test: • Length of the soil sample = 140…

Q: Two soil layers are shown in the figure. The soils have the same cross section area of 0.2 m2; and…

Q: For a falling-head permeability test, the following values are given: Length of specimen = 200 mm…

A: A falling head permeability test data is given and it has been asked to determine hydraulic…

Q: Question 8 Find the flow rate in m'/sec/m length (at right angles to the cross section shown)…

A: To determine the flow rate through the permeable soil layer. Given, Hydraulic conductivity of the…

Q: A 500 m long levee made of compacted clay impoundswater in a reservoir as shown in attached Figure…

A: The given data is as follows: Length of levee=500 mThickness of sand seam=1 mInclination of sand…

Q: With the measurements in the following table, calculate the soil moisture flux q (cm/day) between…

A: The total head will be: Suction head+ gravity head ψ=h-z

Q: 7.22 Refer to Figure 7.24. The following data were collected during the field per- meability…

Q: A concrete dam retains water to a height of 9 m. It has rows of sheet piling at both heel and toe…

Q: Problem 3 A sand layer of the cross-sectional area shown in the figure has been determined to exist…

Q: A pump well is dug through a confined aquifer having a thickness of 32 meters. The piezometric…

A: Given data- Confined aquifer- Thickness of aquifer (D) = 32m Depth/Height of aquifer (H) = 18 m…

Q: Impervious layer Ground surface 2. A pervious soil layer is sandwiched between two impervious layers…

A: Given:- A pervious soil layer is sandwiched between 2 impervious layers. H = 3.5m, H1 = 1.75m, h =…

Q: Referring to Figure Q3, calculate the following quantities: a. Elevation head, total head, and…

Q: The contaminant concentration has been detected to be 200 mg/L for the area of a site represented…

A: Q= KiA K= 1*10-2cm/s i= 1/50 A= 5 m2 Q= 1*10-4*0.02*5= 1*10-5m3/s= 0.01 l/s C= 200 mg/l Contaminant…

Q: With the measurements in the following table, calculate the soil moisture flux q (cm/day) between K…

A: Given, Z1=0.5 mZ2=0.8 m Hydraulic conductivityK=240-ψ-2.3

Q: The hydraulic conductivities of the soils in the direction of flow through them are as follows:…

A: Permiability of soil A = 0.0.1cm/s Permiability of soil B = 0.003cm/s Permiability of soil C =…

Q: Figure shows the layers of soil in a tube 100 mm x 100 mm in cross-section water is supplied to…

Q: of permeability. If entrance angle The figure below shows two flow lines for seepage across an…

Q: Calculate the permeability coefficient(mm/sec) for silty sample of area 7000 cm2, length 150mm. the…

Q: Determine the horizontal and vertical equivalent hydraulic conductivity for the following stratified…

A: Given data in question Depth of layers 1.25 m= 125 cm Hydraulic conductivity of each layer To find…

Q: A fine sand sample is placed into a permeameter that supplies a constant head of 100 cm of water.…

Q: PROBLEM 3: A reservoir with a 3,400m? area is underlain by layers of stratified soils as depicted in…

A: The average vertical permeability is given by: kv=HH1k1+H2k2+H3k3+H4k4 Where, H1 = 4 m H2 = 3 m H3 =…

Q: the cross section of a levee, shown below, which is 650 m long and is underlain by a 2.5-m-thick…

A: It is required to determine the hydraulic gradient of the sand Here is the change in height, and L…

Q: SITUATION 3 A confined aquifer shown in the figure has a hydraulic conductivity of 48m/day with…

Q: Area of the standpipe = 1.3 cm? Head difference at time t = 0 is 760 mm %3D Head difference at time…

A: L= 500 mm = 50 cm a= 1.3 cm2 A= 26 cm2 h1= 760 mm, t1= 0 h2= 300mm, t2= 10 minutes

Q: The figure shows the layers of soil in a tube that is 100mm by 150mm in cross-section. Water is…

A: Given KA = 2*10-4 cm/sec KB = 3.7*10-2 cm/sec KC = 1.75*10-3 cm/sec KD = 2.1*10-3 cm/sec hf = 450…

Q: For a falling head laboratory test, the following are the given values: • Length of soil specimen =…

A: The Length of the soil specimen is 480.0 mm. The Initial head is h1=700.00 mm. The Final head is…

Q: Calculate the final settlement of the clay layer shown in figure due to an increase of pressure of 3…

Q: 5. Find hydraulic conductivity k in engineering applications. 7.17 Figure 7.35 shows the cross…

A: To Find :- Hydraulic Conductivity of Sand Layer.

Q: The hydraulic conductivities, k, of the soils in the direction of flow through them are as follows:…

Q: Calculate the equivalent hydraulic conductivity for the following soil sample: 1.5 ft Water O:…

Q: The hydraulic conductivity of an aquifer is 0.002 cm/sec, the hydraulic gradient is 0.004, and the…

Q: The figure below shows the zone of capillary rise within a clay layer above the groundwater table.…

Q: If aquifer hydraulic conductivity and effective porosity are found to be 0.2 m/day and 0.25…

A: step 1-

Q: 5.27 The dam shown in Figure is located on the anisotropic soil. The coefficients of permeability in…

Q: For a falling head laboratory test, the following are the given values: 480.0 mm Length of soil…

A: given data,length of soil specimenL=480 mm=48 cminitial headh1=700 mm=70 cmfinal headh2=395 mm=39.5…

Q: Question 4.8 Consider a layered reservoir consisting of three alternating layers 1 m thick and 1 m…

A: A layered reservoir consists of 3 layers. each layer is 1m thick and 1m long Permeabilities and…

Q: 3) The contaminant concentration has been detected to be 200 mg/L for the area of a site represented…

A: Given: Contaminant concentration = 200 mg/L = 200 * 10-6 kg/L Average Aquifer thickness = 5 m…

Q: X = 4 km If aquifer hydraulic gradient, hydraulic conductivity and effective porosity are found to…

A: its influence can be calculated by using seepage velocity

Q: a. For Figure 2 below, calculate the effective hydraulic conductivity for flow parallel and…

Q: 22 A layered soil is shown in (Figure 1). Estimate the ratio of equivalent hydraulic conductivity,…

A: Z1=1.5m Z2=1m Z3=1.5m Z4=1m

Concept explainers

Field applications of hydraulic conductivity

Hydraulic conductivity is one of the hydraulic properties of soil defined as a measurement of the ability of a porous medium to permit water movement or fluid flow through it. It is denoted by the letter K. It is influenced by the density and viscosity of the fluid. It is also called permeability. Hydraulic conductivity is defined as the ratio of velocity to the hydraulic gradient. The different methods used to determine the hydraulic conductivity are laboratory methods (constant head permeability tests and falling head tests), in-situ field methods (pumping in and pumping out tests), small scale field tests (infiltration tests and slug tests), and indirect methods such as estimation from grain size, consolidation test data, and horizontal capillary test. The pedotransfer function (PTF) method is a specific empirical estimating approach employed in the soil sciences is also used to determine the hydraulic conductivity of the soil.

Question

The soil under a dam consists of five layers as follows:
Hydraulic conductivity
(cm/hr)
Layer
Depth (m)
1
5
4.8
2
2
8.0
3
0.6
18.0
4
1.0
3.0
5
3.5
1
Calculate:
v What is the average vertical (perpendicular to flow) hydraulic conductivity of the soil?
V What is the transmissivity of the soil, given the water table is at the ground surface?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Field Applications of Hydraulic Conductivity

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Refer to Figure 7.24. The following data were collected during the field permeability measurement of a confined aquifer using a pumping test. Determine the hydraulic conductivity of the permeable layer. Use Eq. (7.49). Thickness of the aquifer, H = 4.5 m Piezometric level and radial distance of the first observation well: h1 = 2.9 m; r1 = 17.8 m Piezometric level and radial distance of the second observation well: h2 = 1.8 m; r2 = 8.1 m Rate of discharge from pumping, q = 0.5 m3/min
Calculate the equivalent hydraulic conductivity in the horizontal direction for the given stratified soil. Layer Hydraulic conductivity (cm/sec) 1 0.002 2 0.0002 3 0.001 4 0.0003 The depth of each layer is 1 m.
Calculate the equivalent hydraulic conductivity in the horizontal as well as the vertical direction for the given stratified soil. Layer Hydraulic conductivity (cm/sec) 1 0.002 2 0.0002 3 0.001 4 0.0003 The depth of each layer is 1 m.
2. A confined aquifer is recharged by a continuous supply of water from the certain source. The average thickness of the aquifer was determined to be 25 m and the average width is 4 km. The hydraulic conductivity of the aquifer was obtained at 40 m/day and its void ratio is 0.3333. The piezometer heads in two wells 1.325 km apart are 65 meters and 60 meters from a common reference datum. Determine the rate of flow in cubic meters per day. Determine: •compute the rate of flow through the aquifer in m3/day •compute the seepage velocity in m/day •compute the time of travel from the head of the aquifer to a point 8 km downstream in days
A confined aquifer is recharged by a continuous supply of water from the certain source. The average thickness of the aquifer was determined to be 25 m and the average width is 4 km. The hydraulic conductivity of the aquifer was obtained at 40 m/day and its void ratio is 0.3333. The piezometer heads in two wells 1.325 km apart are 65 meters and 60 meters from a common reference datum. Determine the rate of flow in cubic meters per day.
29. Soil in a field has three layers. Each has a thickness of 3m, 4m, and 3m, from top layer to bottom layer. The hydraulic conductivity of each layer is 0.0043cm/s, 0.0072cm/s, and 0.0018cm/s, respectively. Calculate the effective horizontal hydraulic conductivity.
Solve for the ratio of equivalent hydraulic conductivity with the following given: h1 = 2 m h2 = 2.5 m h3 = 1.8 m h4 = 0.9 m k1 = 1.5E-3 cm/sec k2 = 2.2E-4 cm/sec k3 = 1.6E-4 cm/sec k4 = 4.0E-4 cm/sec What is the equivalent coefficient of permeability if the water flows parallel to the layer of soil (KeqH) in cm/sec?
A pump well is dug through a confined aquifer having a thickness of 32 meters. The piezometric surface of the aquifer is 18 meters measured from the top impermeable layer. The first observation well is 75 feet directly west of the pump well and the second observation well is 75 feet directly north of the first observation well. Determine the hydraulic conductivity of the aquifer if it supplies a discharge of 10 liters per second and the drawdown of the observation wells are 13 feet and 23 feet.
A dam section is shown in Figure 8.11a. The hydraulic conductivity of the permeable layer in the vertical and horizontal directions are 2.9×10^-2 mm/sand 4.6 ×10^−2 mm/s, respectively. Calculate the seepage loss of the dam in ft^3/day/ft
1. A confined aquifer is recharged by a continuous supply of water from the certain source. The average thickness of the aquifer was determined to be 18 m and the average width is 8 km. The hydraulic conductivity of the aquifer was obtained at 60 m/day and its void ratio is 0.1586. The piezometer heads in two wells 2,145m apart are 128 meters and 188 meters from a common reference datum. Determine: •compute the rate of flow through the aquifer in m3/day •compute the seepage velocity in m/day •compute the time of travel from the head of the aquifer to a point 8 km downstream in days
A aquifer of an medium to coarse grained sand aquifer. It is 12.19 thick and 1.61 km wide. This aquifer is covered by a confining unit of Quaternary clay deposit about 13.72 m thick beginning from the land surface. The difference in the hydraulic head between two observation wells 1.524 m apart is 3.05 m. The hydraulic conductivity of the aquifer is 20.44 m/d. What is the quantity of the ground water passing through a cross-section of this aquifer?
9. From the figure shown: (See picture below) Cross-sectional area = 0.6m2 Hydraulic Conductivity of sand = 0.1 cm/sec What is the rate of upward seepage of water? (Answer: 360 cm3/sec) What would be the critical hydraulic gradient? (Answer: 1.12 m) What value of h to cause boiling? (Answer: 2.8 m)