Determine the vertical stress increment

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Reference no: EM133886408

Geotechnical Engineering Design

Problem Statement: Geotechnical Analysis of Petroleum Tanks on Annular Foundations

Two petroleum tanks, each with an external diameter of 54.9 m and height of 15 m, are constructed on annular ring foundations (outer diameter 55.4 m, width 1.2 m, height 0.5 m). Each tank has a base plate resting on the concrete foundation and dense sand in the central annular area (inner diameter ≈ 53 m). The tanks are situated with a centre-to-centre distance of 73 m. The tanks are filled to 12 m with a liquid of specific gravity 1.3 (unit weight = 13 kN/m³) and periodically emptied. Get professional assignment help service now!

Apply the tank stress to the entire tank base. The soil under the tank is defined with the following properties:

Foundation (0.0-0.5 m): Simplifying the foundation to be a 0.5 m thick layer with the following properties:
Unit weight: 23 kN/m³
Young's modulus (E): 25000 MPa
Poisson's ratio (ν): 0.15
Permeability (k): 1 × 10?11 m/s
Inner Area (central region inside the annular ring 0.0-0.5m): Dense sand
Unit weight: 20 kN/m³
Young's modulus (E): 60 MPa
Poisson's ratio (ν): 0.3
Permeability (k): 5 × 10?5 m/s
Friction angle (φ): 35°
Cohesion (c): 0 kPa

Soil Profile:

Layer 1 (0.5-5 m): Medium-dense sand
Unit weight: 18 kN/m³ (unsaturated), 20 kN/m³ (saturated)
Young's modulus (E): 30 MPa
Poisson's ratio (ν): 0.3
Permeability (k): 1 × 10?4 m/s
Friction angle (φ): 32°
Cohesion (c): 0 kPa
Layer 2 (5-15 m): Dense sand
Unit weight: 19 kN/m³ (unsaturated), 21 kN/m³ (saturated)
Young's modulus (E): 50 MPa
Poisson's ratio (ν): 0.3
Permeability (k): 5 × 10?5 m/s
Friction angle (φ): 35°
Cohesion (c): 0 kPa
Groundwater table: Located at 2 m below the ground surface.

Use elastic soil models in SIGMA/W for all materials focusing on the immediate settlement (coarse-grained soils have negligible consolidation).

Loading Scenarios:

Tank A is getting emptied, and Tank B is being filled to 12 m gradually in 24 hours.
Both tanks are being filled to 12 m over 24 hours.
Both tanks are getting emptied over 24 hours.

Tasks: Model each scenario in one branch using GeoStudio (SIGMA/W for load-deformation) to determine the following:

Immediate Settlement:
Estimate the maximum surface settlement under the centre of each tank for each scenario.
Plot the settlement profile (vertical displacement in mm vs. distance in m) from Tank A's edge to Tank B's edge.
Stress Distribution:
Determine the vertical stress increment (Δσ_z in kPa) along depth (0-15 m) beneath the outer edge of the annular foundation for each scenario.
Plot and compare Δσ_z vs. depth for the three scenarios.

Deliverables:

ONE GeoStudio model file (SIGMA/W).
A brief report (4-6 pages) summarising results and discussing findings.
Settlement, stress, results with graphs.
Discussion of how loading and foundation permeability affect water table changes and settlement.
Implications for tank stability.

Reference no: EM133886408

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