(a) Determine the pore velocity and magnitude of flow Q [L³/T] through face B. (b) Is the fluid moving into or out of the control volume at face B? (c) Which direction is the outgoing fluid moving? This will require two angles to describe the resultant outgoing 3D velocity vector - use to denote the angle of the resultant vector in the x-y plane, and to denote the angle of the resultant vector in the horizontal plane with the vertical plane.

Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter7: Seepage
Section: Chapter Questions
Problem 7.1P
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ΔΖ
P
F
D
(origin)
ΔΧ
Figure 1
A: incoming x
B:
C: incoming y
D: outgoing y
E: incoming z
F: outgoing z
x
Figure 1 describes a control volume of a saturated confined aquifer where Ax = Ay = Az =
1 m with a porosity of 0.30.
1. For this problem, assume that the fluid and aquifer skeleton are incompressible. Given
pore velocities through the control volume depicted in Figure 1:
A. 5.00 m/d
C. 3.00 m/d
E. 2.00 m/d
B. ? m/d
D. 2.75 m/d
F. 1.75 m/d
(a) Determine the pore velocity and magnitude of flow Q [L³/T] through face B.
(b) Is the fluid moving into or out of the control volume at face B?
(c) Which direction is the outgoing fluid moving? This will require two angles to
describe the resultant outgoing 3D velocity vector - use to denote the angle of the
resultant vector in the x-y plane, and to denote the angle of the resultant vector in
the horizontal plane with the vertical plane.
Transcribed Image Text:ΔΖ P F D (origin) ΔΧ Figure 1 A: incoming x B: C: incoming y D: outgoing y E: incoming z F: outgoing z x Figure 1 describes a control volume of a saturated confined aquifer where Ax = Ay = Az = 1 m with a porosity of 0.30. 1. For this problem, assume that the fluid and aquifer skeleton are incompressible. Given pore velocities through the control volume depicted in Figure 1: A. 5.00 m/d C. 3.00 m/d E. 2.00 m/d B. ? m/d D. 2.75 m/d F. 1.75 m/d (a) Determine the pore velocity and magnitude of flow Q [L³/T] through face B. (b) Is the fluid moving into or out of the control volume at face B? (c) Which direction is the outgoing fluid moving? This will require two angles to describe the resultant outgoing 3D velocity vector - use to denote the angle of the resultant vector in the x-y plane, and to denote the angle of the resultant vector in the horizontal plane with the vertical plane.
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