ENEC20003 Numerical Analysis Term 2 2019

Step by Step Solved Numerical Analysis ENEC20003 Assignment

Numerical Simulation Project:

Simulate a Fixed-ring consolidation test on a clay sample for bath loading and unloading stages using Geostudio Sigma/W package. Assume the following.

Sample diameter: 75mm

Sample Height: 20mm

Bulk Unit weight of the sample: 19 kN/m³

Cohesion: 40kPa

Internal Friction angle: 24

Dilation angle: 0

Module of Elasticity (E): 10MPa

Poisson Ratio: 0.334

Permeability in the satursted condition: 1E-12m/sec

Loading stages: Day 1: 12.5 kPa, Day 2: 25, Day 3: 50kPa, Day 4: 100 kPa, Day 5: 200 kPa

Unloading stages: Day 6: 100 kPa, Day 7: 50 kPa, Day 8: 25 kPa

If you require more parameter, assume a reasonable value and state it in your solution.

Time (day)	Applied Surcharge stress (kPa)
0 (in situ analysis)	0
1	12.5
2	25
3	50
4	100
5	200
6	100
7	50
8	25

Use the following hydraulic conductivity and volumetric water content functions:

Model Geometry (Max. 1-page image)
Model Materials (Max. 1-page text)
Boundary condition and analysis tye (Max. 2-page text/graph/image)
The shape of the deformed sample (Max. 1-page image)
Draw a graph of the displacement of the top center of the sample with time (day)
Draw a graph of the excess pore-water pressure at the mid-layer center of the sample over time (day).
Draw a graph of the effective stress at mid-layer center of the sample over time (day)

Task:

Model the above problem using Geostudio 2018 and Prepare a report with the following components:

The report must be submitted in the current MS Word file including the answers to the above questions. You should also upload your GeoStudio into a Google drive and add the link to the report.

STEP BY STEP ANSWER WITH EXPLANATION

Here we have a numerical analysis assignment with a specific numerical simulation project for a Fixed-ring consolidation test on a clay sample using Geostudio Sigma/W.

Let us provide you with a general outline of how to approach this project and create a report. However, due to the complexity of the task, it would be challenging to provide a step-by-step guide in this format. Here's an overview of how you might approach this project:

Model Geometry (Max. 1-page image):

Begin by creating a 2D axisymmetric model in GeoStudio with the specified sample diameter and height. Ensure you have defined the sample size correctly.

Model Materials (Max. 1-page text):

Define the material properties, including the bulk unit weight, cohesion, internal friction angle, dilation angle, modulus of elasticity, Poisson ratio, and permeability as given in your project description.
Create an "Effective Parameter with PWP Change" material category to simulate the consolidation test.
Use the "Elastic-Plastic (PWP change)" material model to represent the clay.
Specify the hydraulic conductivity and volumetric water content functions as described in your project.

Boundary Condition and Analysis Type (Max. 2-page text/graph/image):

Define the boundary conditions, including the step loading function for each loading and unloading stage.
Assume an isotropic clay for the analysis.
Create one analysis for each day and set each new analysis as a child of the previous analysis to simulate the loading and unloading stages.
Set the water table at the top of the sample.
Include two porous stones at the top and bottom of the sample to provide drainage. Add hydraulic boundary conditions for zero pore-water pressure at these locations.

The Shape of the Deformed Sample (Max. 1-page image):

Display the deformed shape of the sample after each loading/unloading stage. Use contour plots or other visualization tools to show how the sample deforms over time.

Graphs (Max. 1-page per graph):

Create graphs to illustrate the following parameters over time (day):

Displacement of the top center of the sample.
Excess pore-water pressure at the mid-layer center of the sample.
Effective stress at the mid-layer center of the sample.

Report:

Create a comprehensive report in MS Word that includes all the above components.
Provide explanations and interpretations of the results, discussing the consolidation process and any significant observations.
Clearly state any assumptions made during the modeling and analysis.
Share the GeoStudio project files on Google Drive and include a link to the files in the report.

Please note that this is a high-level outline of how to approach the project. The actual modeling and analysis in GeoStudio may require expertise in the software, so it's essential to refer to the software's documentation and possibly consult with your instructor or a Geostudio expert if you encounter specific technical challenges during the project.

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