Hydraulic gradient
Question 3 (20 points): This morning an engineer made measurements in three observation wells belonging to an unconfined aquifer. Groundwater was found at the following depths: 10.0, 9.0, and 9.5 meters for wells A, B, and C, respectively. The hydraulic heads of the three measurement points are 150 (well A), 148 (well B) and 149 (well C) meters above sea level. If it is known that well A is located north of well B at a distance of 400 meters, and well C is located east of well B at a distance of 400 meters:
a) Draw the well field, equipotential line and flowline and find the hydraulic gradient.
b) Determine the Darcy´s velocity and the average linear velocity of groundwater if the hydraulic conductivity is 800 m/day and the porosity is 25%.
Homework Answers
A groundwater extraction well is installed in an aquifer (hydraulic conductivity = 2,000 gpd/ft2, gradient =...
A groundwater extraction well is installed in an aquifer (hydraulic conductivity = 2,000 gpd/ft2, gradient = 0.01, and aquifer thickness = 50 ft). The design pumping rate is 60 gpm. Delineate the capture zone of this recovery well by specifying the following characteristic distances of the capture zone: A) the side-stream distance from the well to the envelop of the capture zone at the line of the pumping well, B) the down-stream distance from the well to stagnation point of...
Question 5: (25 marks) A fully penetrating pumping well is located in a confined aquifer that can be considered to have an infinite extent in all directions. There is no recharge to the aquifer a...
Question 5: (25 marks) A fully penetrating pumping well is located in a confined aquifer that can be considered to have an infinite extent in all directions. There is no recharge to the aquifer and no other pumping wells in the area. There are two observation wells located at 100 and 500 m, respectively, from the pumping wells. The aquifer and the pumping well have the following properties: Depth to top of aquifer: 50 m Aquifer thickness: 5 m Aquifer...
yo 2. Given the following information on three piezometers, A, B, and C, in the same...
yo 2. Given the following information on three piezometers, A, B, and C, in the same horizontal unconfined aquifer (K = 10 m/day), draw groundwater contours, give the direction of flow, calculate the hydraulic gradient, and the Darcy velocity. 6*8 - A, B, and Care 1,000 meters apart from each other. - A is directly north of B. 25 30 Ground Elevation (m) Depth to Water (m)
An engineer has been asked to investigate illegal pumping of groundwater from an unconfined aquifer. The...
An engineer has been asked to investigate illegal pumping of groundwater from an unconfined aquifer. The maximum withdrawal rate for the well has been set by the State Water Resources Board at 30,000 ft/day. The water table far from the well is 20 f below the surface. The depth to the confining bed is 50 ft. Two observation wells have been installed near the pumping well to assess the groundwater withdrawal rate. The first well is located 100 ft from...
A confined aquifer is 3 m thick. The potentiometric surface drops 17 cm between two wells...
A confined aquifer is 3 m thick. The potentiometric surface drops 17 cm between two wells that are 240 m apart. If the hydraulic conductivity of the aquifer is 6.4 m/day and the effective porosity is 0.17, (a) determine the volume of water flowing per day through a strip of the aquifer that is 3 m wide; (b) determine the groundwater flow velocity; (c) calculate the velocity of a contaminant in this aquifer if dry bulk density of aquifer material...
1. Some pond water contains 20.O mg/L of some algae, which can be represented by the chemical for...
1. Some pond water contains 20.O mg/L of some algae, which can be represented by the chemical formula CsHisO&N. Using the following reactions: CoHisO&N606CO2 6H2ONHa NHs 202 NOs H2O (a) Find the theoretical carbonaceous oxygen demand CBOD (b) Find the nitrogenous oxygen demand NBOD (c) Find the total theoretical biochemical oxygen demand BOD 2. A sandy soil has a hydraulic conductivity of 6.1 x104 m/d, a hydraulic gradient of 0.00141, and porosity of 20%. (a)what is the Darcy velocity (b)what...
4. You have three wells, located (x,y)-(0,0), (15,20) and (10,10) and the respective head at each...
4. You have three wells, located (x,y)-(0,0), (15,20) and (10,10) and the respective head at each well is 15,140 and 85. All units are in meters. (A) Write an equation for the head distribution assuming an unconfined aquifer, given that you know heads at two locations. To do this, you need a solution to the 1-D unconfined GWFE where there is no recharge eener fraredlad krnhhr ) P pel (B) Based on the equation above, write a similar equation for...
Q2) A canal of trapezoidal section has bed width of 8 m and bed slope of...
Q2) A canal of trapezoidal section has bed width of 8 m and bed slope of 1 in 4000. If the depth of flow is 2.4 m and side slopes of the chamel are 1 horizontal to 3 vertical, determine the average flow velocity and the discharge carried by the channel. Also compute the average shear stress at the channel boundary. Take value of Chezy's constant = 55. Q3) 6.11. A power canal of trapezoidal section has to be excavated...
A contaminated plume is found having capture zone type curve Q/BU = 2000 m. U is...
A contaminated plume is found having capture zone type curve
Q/BU = 2000 m. U is the regional groundwater velocity, Q is pumping
rate and B is the aquifer thickness. The aquifer also has a
hydraulic conductivity of 3 × 10-5 cm/sec, a hydraulic gradient of
0.003 and a storavity of 0.005. The aquifer is 30 m thick. The
diameter of the well is 10 inch and the equation for
non-equilibrium condition is:
Where T is transmissivity, r is the...
Contaminant sorption and flow in subsurface environment (12 points) An aquifer is contaminated du...
Contaminant sorption and flow in subsurface environment (12 points) An aquifer is contaminated due to a recent spill of a certain industrial solvent. The aquifer has a hydraulic head difference of 0.01 m as measured by two piezometers about 2 m apart along the direction of groundwater flow. The aquifer has a porosity of 0.3, organic carbon бс) of 1.7%, soil particle density of 2.6 g/cm3, and hydraulic conductivity (K) of 2.5 x 103 cm/sec The solvent has a log...
Question 5: (25 marks) A fully penetrating pumping well is located in a confined aquifer that can be considered to have an infinite extent in all directions. There is no recharge to the aquifer and no other pumping wells in the area. There are two observation wells located at 100 and 500 m, respectively, from the pumping wells. The aquifer and the pumping well have the following properties: Depth to top of aquifer: 50 m Aquifer thickness: 5 m Aquifer...
yo 2. Given the following information on three piezometers, A, B, and C, in the same horizontal unconfined aquifer (K = 10 m/day), draw groundwater contours, give the direction of flow, calculate the hydraulic gradient, and the Darcy velocity. 6*8 - A, B, and Care 1,000 meters apart from each other. - A is directly north of B. 25 30 Ground Elevation (m) Depth to Water (m)
An engineer has been asked to investigate illegal pumping of groundwater from an unconfined aquifer. The maximum withdrawal rate for the well has been set by the State Water Resources Board at 30,000 ft/day. The water table far from the well is 20 f below the surface. The depth to the confining bed is 50 ft. Two observation wells have been installed near the pumping well to assess the groundwater withdrawal rate. The first well is located 100 ft from...
1. Some pond water contains 20.O mg/L of some algae, which can be represented by the chemical formula CsHisO&N. Using the following reactions: CoHisO&N606CO2 6H2ONHa NHs 202 NOs H2O (a) Find the theoretical carbonaceous oxygen demand CBOD (b) Find the nitrogenous oxygen demand NBOD (c) Find the total theoretical biochemical oxygen demand BOD 2. A sandy soil has a hydraulic conductivity of 6.1 x104 m/d, a hydraulic gradient of 0.00141, and porosity of 20%. (a)what is the Darcy velocity (b)what...
4. You have three wells, located (x,y)-(0,0), (15,20) and (10,10) and the respective head at each well is 15,140 and 85. All units are in meters. (A) Write an equation for the head distribution assuming an unconfined aquifer, given that you know heads at two locations. To do this, you need a solution to the 1-D unconfined GWFE where there is no recharge eener fraredlad krnhhr ) P pel (B) Based on the equation above, write a similar equation for...
Q2) A canal of trapezoidal section has bed width of 8 m and bed slope of 1 in 4000. If the depth of flow is 2.4 m and side slopes of the chamel are 1 horizontal to 3 vertical, determine the average flow velocity and the discharge carried by the channel. Also compute the average shear stress at the channel boundary. Take value of Chezy's constant = 55. Q3) 6.11. A power canal of trapezoidal section has to be excavated...
A contaminated plume is found having capture zone type curve
Q/BU = 2000 m. U is the regional groundwater velocity, Q is pumping
rate and B is the aquifer thickness. The aquifer also has a
hydraulic conductivity of 3 × 10-5 cm/sec, a hydraulic gradient of
0.003 and a storavity of 0.005. The aquifer is 30 m thick. The
diameter of the well is 10 inch and the equation for
non-equilibrium condition is:
Where T is transmissivity, r is the...
Contaminant sorption and flow in subsurface environment (12 points) An aquifer is contaminated due to a recent spill of a certain industrial solvent. The aquifer has a hydraulic head difference of 0.01 m as measured by two piezometers about 2 m apart along the direction of groundwater flow. The aquifer has a porosity of 0.3, organic carbon бс) of 1.7%, soil particle density of 2.6 g/cm3, and hydraulic conductivity (K) of 2.5 x 103 cm/sec The solvent has a log...
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