For scenario 1, the K values become progressively smaller for each layer from La
ID: 290923 • Letter: F
Question
For scenario 1, the K values become progressively smaller for each layer from Layer 1 to Layer 3. Using the K values for this scenario and
complete the table below by calculating the refraction angles. I just need to know how to do one and then I can do the rest. the formula is tan(theta1)/tan(theta2)=K1/K2 but I keep getting really small angles.
Angle
A
B
C
D
E
F
theta1
1
20
40
60
80
89
theta2
theta3
The hydraulic conductivities are given:
Scenario 1 Scenario 2 Scenario 3
K1 10-2 ft/d 1.0 ft/d 100 ft/d
K2 10-4 ft/d 0.001 ft/d 2 ft/d
K3 10-7 ft/d 0.001 ft/d 100 ft/d
Angle
A
B
C
D
E
F
theta1
1
20
40
60
80
89
theta2
theta3
Explanation / Answer
Calculations to find theta 2: tan(theta1)/tan(theta2)=K1/K2 From scenario 1: tan(1) /tan(theta2)=10-2 / 10-4 tan(1) /tan(theta2)= 104 x 10-2 tan(1) /100 = tan(theta2) tan(1) = 0.01 0.01/100 = tan(theta2) 10-4 = tan(theta2) theta2 =tan-1 (10-4) theta2 = 5.72 x 10-3