Homework - Finite Element Seepage Analysis, Confined Conditions

For this exercise, you will build two finite element seepage models of sites with confined (fully saturated) conditions. For each problem, start with the base XSLOPE template.

input_template.xlsx

Make a separate Excel file for each problem. After preparing the input file, upload the file and solve the problem using XSLOPE using the seepage colab notebook:

Open In Colab

(1) Redo the double sheetpile problem using XSLOPE:

sheetpile_dual.gif

Extend your mesh 40 ft both upstream and downstream from the sheetpiles (solve the entire problem, not just one half).

(2) Consider the following problem involving a permeable foundation below a relatively impermeable levee. Build a mesh of just the foundation, including the grout curtain, and perform a seepage anlysis. Extend your problem domain 35 m beyond the toe of the levee in both directions. Assume that the levee is relatively impermeable (do not include it in your problem domain). Assume that the grout curtain extends all the way to bedrock and that the grout curtain is permeable but has a different (lower) K than the foundation.

levee.png

Set up the problem using XSLOPE and analyze the flow rate (total) assuming various K values for the grout curtain. Make a table showing the total flow rate vs. k for the grout curtain where the k values varies as follows:

k = 2 m/d (same as no grout curtain)
k = 1 m/d
k = .5 m/d
k = .2 m/d
k = .1 m/d
k = .01 m/d
k = .001 m/d

For each k value, show two flowrates: one for a unit width and one for the total levee section (assume that the levee is 300 m long in the transverse direction). The total flowrate is displayed above the XSLOPE solution plot in the title. Write a paragraph summarizing your observations from the exercise. Put your solution in a word document.

Submission

Put the following files in a zip archive:

  • XSLOPE input template and a PNG of the solution for part 1
  • XSLOPE input template and a PNG of the solution for part 2 (for the K=0.2 m/d solution only)
  • Word document with analyis of flow vs K for part 2

Upload the zip archive via Learning Suite.

Grading Rubric

Criteria Points
Part 1: Double Sheetpile Problem
XSLOPE seepage model set up correctly with proper geometry and mesh 4
Mesh extends 40 ft upstream and downstream from sheetpiles (entire problem solved) 2
Boundary conditions correctly applied 3
Part 2: Grout Curtain Problem
XSLOPE seepage model set up with domain extending 35 m beyond toe in both directions 3
Grout curtain extends to bedrock with lower K than foundation 2
Levee modeled as relatively impermeable 1
Table includes all 7 K values (2, 1, 0.5, 0.2, 0.1, 0.01, 0.001 m/d) 4
Flow rates computed correctly for both unit width and total levee section (300 m) 5
Total flow rates extracted from XSLOPE output correctly 3
Paragraph summarizing observations from the exercise 3
Total 30