GEOTECHNICAL · ESTIMATOR
Tunnelling-Induced Surface Settlement Calculator by Dr. Yang
Enter tunnel, ground and construction parameters to estimate the transverse Gaussian settlement trough.
Gaussian settlement trough
Calculation parameters
Enter one value in each pair; the other is derived automatically.01 Tunnel parameters
m
m²
m
—
02 Ground parameters
—
m
Enter K or i; the other is calculated from i = K × H.
03 Construction parameters
%
m²
Per unit tunnel length: Vs = η × A.
Tunnel cross-section
Preview tunnel cross-section.
Zoom1.00×
Transverse surface settlement
Settlement is positive downward · horizontal axis is distance from tunnel axis.
Settlement curveSelected point
m
D
i
Hover over the curve to preview a point; click to select it. The initial point is on the tunnel axis.
Settlement at selected x, S(x)0.00 mmMaximum settlement on tunnel axis, Smax0.00 mmTrough width parameter, i0.00 m
S(x) = Smax · exp(−x²/2i²); Smax = Vs/(√(2π)i). Calculated per unit tunnel length; positive and negative x are on either side of the axis.
Settlement point data
Copy the data into a spreadsheet.
m
D
| x (m) | x/D | S(x) (mm) |
|---|
The model assumes a settlement trough symmetric about the tunnel axis. Select K and ground loss based on ground conditions, construction method or monitoring data. Tunnel area assumes a circular section: A = πD²/4.