Desktop software · Windows · Tunnels and underground works

SRA 2D: ground settlement analysis for tunnelling

SRA 2D (Structure Response Analysis) was researched and developed by the Institute of Information Technology in Civil Engineering, Hanoi University of Civil Engineering, and VN Tunnel and Underground, Inc. (VNTU Inc.). It calculates the ground settlement caused by bored tunnels, cut-and-cover tunnels and station excavations, then assesses the damage to buildings and utilities along the route.

4 Analysis types
5 Settlement contours
ft · m US customary or SI
1.0.0 Version
What SRA 2D does

From the tunnel alignment in AutoCAD to the damage category of each building

You supply the tunnel alignment, the existing ground line, the top of rail line, the soil layers and the lists of buildings and utilities. SRA 2D divides the route into cross sections, calculates the settlement trough at each one and joins them into settlement contours on plan.

  • Calculate ground settlement and lateral movement at every cross section
  • Draw five settlement contours (0.125, 0.25, 0.5, 1.0 and 1.5 in) and export them to DXF
  • Single or twin tunnels, cut-and-cover segments at either end, several station excavations
  • Calculate the maximum tensile strain and damage category of each building, on shallow or pile foundations
  • Calculate settlement and tensile strain of utilities crossing or running along the route
  • Read the alignment from AutoCAD (DXF); import and export buildings and utilities through Excel
SRA 2D plan view with settlement contours along the whole tunnel route
The plan view after Run Analysis: settlement contours wrap the alignment and widen at the station excavations.
Scope

Four types of analysis, chosen when you create a project

Picking the right type means you only enter the data that calculation needs.

  • Entire alignment (default)

    Settlement from the bored tunnel, stations and cut-and-cover segments, plus the effect on buildings and utilities. Needs the tunnel, stations, cut-and-cover, ground line, top of rail line and soil layers.

  • Station excavation only

    Settlement contours around the station only. Needs corner coordinates, excavation depth and soil layers.

  • Bored tunnel only

    Settlement from the bored tunnel only. Needs the tunnel radius, rail spacing and soil layers.

  • Cut-and-cover only

    Settlement from the cut-and-cover tunnel only. Needs its coordinates, depth and soil layers.

The SRA 2D Types of Analysis dialog with four analysis types
The Types of Analysis dialog: each type has its own NEW PROJECT button and lists the inputs it needs.
Methods

Calculation methods in SRA 2D

The Formula settings panel at the lower left lets you choose the method for each group of calculations; click Apply to use it.

Calculation Methods
Settlement contours, bored tunnel O'Reilly; Cording
Settlement due to open excavation Hsieh et al.; Canadian method
Building damage category Cording; Burland
Utility damage Transverse utility; longitudinal utility

For bored tunnels, following O'Reilly and New (1982), the transverse settlement trough is a Gaussian curve: S(x) = Smax·exp(−x²/2i²), where the trough width i = K·z0, z0 is the depth of the tunnel axis and K depends on the soil. The maximum settlement Smax follows from the volume of ground lost, which is the volume loss VL times the tunnel's cross-sectional area. That is why every segment of the route in SRA 2D carries a VL and a K value.

The building damage chart plots the result against the limits of Boscardin and Cording (1989), Clough and O'Rourke (1990) and Cording et al. (2010), in four categories: negligible, slight, moderate, and severe to very severe.

The calculation methods, sample spreadsheets, result checking and acceptance testing of the software were carried out by VNTU Inc. engineers.

Workflow

Analysing a tunnel route in SRA 2D, step by step

1. Prepare the alignment drawings in AutoCAD

SRA 2D reads the alignment from DXF files, so tidy the drawings first:

  • Bring the start of the route to an even station (+00). The plan alignment must start at the same station as the existing alignment; if that starts at 940+00, erase everything on the plan line before 940+00.
  • If the line is broken, use JOIN to make it one polyline.
  • Place a POINT at the start, then use a Path ARRAY to spread points along the route every 100 ft.
  • If there is a cut-and-cover segment at the start, extend the line back by about half its length. For a 1,900 ft segment (0+00 to 19+00), step back about 9+50.
  • For the existing alignment, select the whole drawing and MOVE it to the origin (0,0).
  • Save As AutoCAD 2000/LT2000 DXF (*.dxf).

2. Create a project

The start page offers NEW PROJECT and Open existing project; recent projects are listed on the right, double-click one to open it. For a new project, pick one of the four analysis types, then enter the project name, the folder (Browse) and the units: U.S customary (ft, in) or Metric SI (m, cm). Click OK.

SRA 2D start page with the New Project and Open existing project buttons
The SRA 2D 1.0.0 start page.

3. Enter the tunnel section

Open Bored Tunnel Section and fill in:

  • Radius: from the tunnel centre to its edge.
  • Distance Z: vertical distance from the tunnel centre to the top of rail.
  • Distance Y: horizontal distance from the tunnel centre to the rail; Distance of two rails: the rail spacing.
  • Twin tunnels: tick Twin tunnel, fill in Tunnel 2 and the distance between the tunnel centrelines.

Click Apply to draw the section, and Save once it looks right.

The SRA 2D Tunnel Input dialog with twin tunnels
Twin tunnel input: Tunnel 1 and Tunnel 2 side by side, the section redrawn after each Apply.

4. Define the soil layers

In Soil Profile, click Material to open the soil library. Each soil type has a K value, a colour and a note; for example Well-Graded GRAVEL has K = 0.2, with the note that sand and gravel above the groundwater table has K = 0.2–0.3 and below it K = 0.2–0.6. Add your own types with Add and give each layer its own colour.

Then build the soil profile: enter the layer, its top and bottom, whether it is above or below groundwater, and click Add Layer; Insert Layer puts a new layer above the selected one. When the profile is complete, click Add Profile and Save.

The SRA 2D soil library with the K value and colour of each soil type
The soil library: each row holds a colour, the material, its K value and a note on the K range by groundwater level.

5. Load the alignment, ground line and top of rail

  • Alignment Plan: choose the direction of subdividing, open the alignment DXF, pick the layer that holds the route and enter the starting station. For twin tunnels, pick a layer for each tunnel.
  • Existing Ground Line and Top Of Rail Line: open a DXF, XML or Excel file, pick the layer, enter the starting station and click Apply. Both lines can be saved back to XML, DXF or Excel.
  • Open Alignment Overview to check both lines before calculating.

6. Station excavations and cut-and-cover

In Station excavations, each station has a name, the excavation depth below top of rail (TOR), the settlement to excavation depth ratio and the lateral movement to excavation depth ratio. Enter the X, Y coordinates of the four corners of the main or secondary excavation, click Add for each point, then Add Station and Save. View all stations in plan shows every station on plan so you can check its position.

Cut-and-cover tunnels are entered as a Start Segment and an End Segment, each with coordinates and depth.

7. Create cross sections and assign soil

In Cross Section Data, enter the spacing between sections (for example 100 ft), the first and last cross-section stations, and the stations where the bored tunnel starts and ends. The diagram on the right explains each value. Click Create All Section, or Create a Section for a single one.

The SRA 2D Create Cross Section panel with its start and end station diagram
Example: sections every 100 ft from station 20100 to 36800, bored tunnel from 20000 to 36800.

Click Assign soil profile. In Auto mode each row is one segment of the route: start station, end station, volume loss VL (%) and soil profile (which carries K). Twin tunnels can have a different VL for each bore: switch to Manual, enter VL for Tunnel 1 and Tunnel 2 for the selected sections and click Apply. The list on the right shows the soil profile, VL1 and VL2 of every section.

SRA 2D dialog assigning soil profile and volume loss to each route segment
Assigning by segment: 20000 to 36800, VL 0.5% for both tunnels; each section in the list shows VL1 and VL2.

8. Enter buildings and utilities

  • Buildings: open the Excel Building table and click Open Excel file... to read the list (.xlsx). Columns are matched by header name, so both the Single Bore and Twin Bore templates work; you can also copy rows in Excel and paste them with Ctrl+V.
  • The grey columns are filled in by the software: maximum tensile strain, damage category and distance between tunnel centrelines. They update every time the contours are run.
  • Each building has a representative section (ground elevation, depth of tunnel springline, VL for both tunnels, K) that can be edited for that building alone. Pile-founded buildings also get a list of piles.
  • Utilities (Utility Input): choose parallel or perpendicular to the tunnel, enter the station of the representative section and click Create section, then fill in the pipe and soil parameters (deformation modulus Es, Poisson's ratio). The pipe list also imports from and exports to Excel.
The SRA 2D Utility Input dialog for entering pipes
Entering a pipe perpendicular to the tunnel: representative section, VL, K, Es and the soil's Poisson's ratio.

9. Run the analysis and read the trough

Open Settlement Contours and click Run Analysis. SRA 2D calculates settlement at every section, draws the five contours, then updates the maximum tensile strain and damage category of every building. With the Hsieh method for open excavations, the trough is drawn as straight lines through the control points 0, 0.5He, 2He and 4He (He is the excavation depth) to set it apart from the Canadian method.

To inspect a section, double-click it in the list: the settlement trough (red) and lateral movement (blue) appear on the right, with the maximum settlement Smax.

SRA 2D settlement trough and lateral movement at a station cross section
Section at station 219+00 through a station box: settlement (red) and lateral movement (blue) at VL = 0.3%.

10. Smooth and export the contours

Click Smoothing contours. In Smoothy Input, each contour line has its own segment length; Subdivision breaks lines into smaller pieces. The Station / C&C ends group shapes the contours around the ends of stations and cut-and-cover boxes: rounding zone (default 15 ft), flare zone, cap outside box (default 4 sections) and gradual bend at ends (0 = off). Click Apply.

The SRA 2D Smoothing contours dialog
Segment length per line: 40 for 0.125 in, 25 for 0.5 in, 5 for 1 in.
Smoothed settlement contours around a station, opened in AutoCAD
The contours around a station after smoothing, exported to DXF and opened in AutoCAD.

To export, choose File > Export Dxf File in the Plan View and pick where to save.

11. Read building and utility damage

Open Building Damage Level and pick a building. The Slope, Curvature, Horiz Strain and Building Strains and Distortions tabs show the slope, curvature, horizontal strain and where the building falls on the damage chart. Excel exports the summary for the whole project.

SRA 2D building damage chart after Boscardin and Cording
Strain and damage chart with the limits of Boscardin and Cording (1989), Clough and O'Rourke (1990) and Cording et al. (2010).

For utilities, open Utility Damage Level and click a pipe: its settlement and tensile strain are calculated and drawn at once. Names end in [Transverse] or [Longitudinal] to tell perpendicular and parallel pipes apart.

SRA 2D chart of estimated settlement of a pipe crossing the route
Estimated settlement of a storm drain crossing the route, against distance from the alignment centreline.
About the software

Developers and ownership

Name
SRA 2D – Structure Response Analysis
Version
1.0.0
Developed by
Institute of Information Technology in Civil Engineering, Hanoi University of Civil Engineering, and VN Tunnel and Underground, Inc. (VNTU Inc.)
Ownership
VN Tunnel and Underground, Inc. (VNTU Inc.), including all information, documentation and the installer, under the contract between the Institute and VNTU Inc.
Methods and acceptance
Calculation methods, sample spreadsheets, result checking and acceptance by VNTU Inc. engineers
System
Windows
Data exchange
DXF (AutoCAD 2000/LT2000), XML, Excel

Need calculation software of your own?

SDC builds bespoke software — from small plugins to specialist engineering software developed with the client's own engineers.