Exercise - Darcy Flow Through Layered Systems

Part 1 - Layered Soils

Consider the following layered soils:

layers.png

layers_eqs.png

Calculate the flow parallel and perpendicular to the layering. Use the following parameters: Driving head = 5 ft. Width (dx) = 100 ft. Height (dy) = 20 ft.

Excel starter file: layers.xlsx

Excel solution: layers (key).xlsx

Part 2 - Two Soils in a Cylinder

Consider the following cylinder:

twosoil.png

twosoils_eqs.png

Calculate the total head, elevation head, pressure head, and pore pressure at points A, B, C, D

Excel starter file: twosoils.xlsx

Excel solution: twosoils (key).xlsx

Part 3 - Darcy's Law in 2D (Transformations)

Consider the following:

graph.png

darcy2d_eqs.png

Calculate the hydraulic conductivity tensor for the bedding planes as shown on the right based on an angle of rotation. Keep in mind that a clockwise rotation as shown in the figure is negative.

Excel starter file: darcy2d.xlsx

Excel solution: darcy2d (key).xlsx