Tunnel Logistics — Annular Grout Volume
Annular Grout Volume for TBM drive planning.
The annular gap must fill COMPLETELY as the tail leaves each ring — ungrouteed voids become tomorrow's settlement and loose rings. Grout-volume-vs-theory tracking per ring is primary settlement control: taking 130% somewhere means ground moved in before the grout did.
Formula
Note: Planning-level tunnelling estimate — actual TBM performance is set by detailed geotechnical baseline data, machine design and the contractor's means & methods. Use for feasibility framing only.
Annular Grout Volume for TBM drive planning. A free tbm performance & tunnelling tool — no sign-up, no upload, instant results in your browser.
About Tunnel Logistics — Annular Grout Volume
Tunnel Logistics — Annular Grout Volume computes the governing relationship V = π/4·(D_bore² − D_seg²)·L × (1+losses) live as you type. The annular gap must fill COMPLETELY as the tail leaves each ring — ungrouteed voids become tomorrow's settlement and loose rings. Grout-volume-vs-theory tracking per ring is primary settlement control: taking 130% somewhere means ground moved in before the grout did. Defaults are pre-filled with realistic values for this exact scenario, and the worked example substitutes your numbers step by step so the math is never a black box.
How to use Tunnel Logistics — Annular Grout Volume
- 1Enter your values — Excavated diameter, Segment ring OD, Ring length, Ground take/loss allowance (sensible defaults are pre-filled).
- 2Read the live results: Theoretical annulus, Grout per ring (with losses).
- 3Check the "with your numbers" line to see V = π/4·(D_bore² − D_seg²)·L × (1+losses) substituted step by step.
- 4Adjust inputs until the scenario matches yours, then copy or share the result.
Why use Tunnel Logistics — Annular Grout Volume?
- ✓Instant, free and private — every calculation runs client-side in your browser; nothing is uploaded
- ✓Built on the stated formula V = π/4·(D_bore² − D_seg²)·L × (1+losses) with authoritative sources cited on the page (Maidl et al., Mechanised Shield Tunnelling, 2nd ed.; ITA/BTS — Mechanised tunnelling guidelines)
- ✓The annular gap must fill COMPLETELY as the tail leaves each ring — ungrouteed voids become tomorrow's settlement and loose rings.
- ✓Niche-specific defaults give a meaningful worked answer the moment the page loads
Frequently asked questions
What formula does the tunnel logistics — annular grout volume use?+
It evaluates V = π/4·(D_bore² − D_seg²)·L × (1+losses), exactly as published. Sources: Maidl et al., Mechanised Shield Tunnelling, 2nd ed.; ITA/BTS — Mechanised tunnelling guidelines. The substituted worked example on the page lets you verify every step against the textbook.
How should I read the result — and how far can I trust it?+
The annular gap must fill COMPLETELY as the tail leaves each ring — ungrouteed voids become tomorrow's settlement and loose rings. Planning-level tunnelling estimate — actual TBM performance is set by detailed geotechnical baseline data, machine design and the contractor's means & methods. Use for feasibility framing only.
When is this calculator the right tool for the job?+
Annular Grout Volume for TBM drive planning. A free tbm performance & tunnelling tool. Grout-volume-vs-theory tracking per ring is primary settlement control: taking 130% somewhere means ground moved in before the grout did. For neighbouring scenarios, the related tools below cover the same engine with different presets.
Do I need to install anything or create an account?+
No. The tool is pure client-side JavaScript: open the page and it works, offline once loaded, with no account, no quota and no data leaving your device.
Related tools
- Tunnel Logistics — Tunnel Inflow & Pumping
- Tunnel Logistics — TBM Ventilation Demand
- Tunnel Logistics — Probe & Grout Cycle Cost
- Segment Lining — Ring Count & Concrete Takeoff
- Segment Lining — Casting Plant Capacity
- Segment Lining — Ring Build Time & Cycle
- Segment Lining — Tapered Ring Steering
- Cycle Build-Up — Optical Lens
- Roller Chain Length Calculator
Related Manufacturing tools
Spindle Speed Calculator — Aluminum 6061
Carbide starting RPM for milling Aluminum 6061: n = 1000·Vc/(π·D) with a handbook cutting speed preset.
● LiveSpindle Speed Calculator — Mild Steel 1018
Carbide starting RPM for milling Mild Steel 1018: n = 1000·Vc/(π·D) with a handbook cutting speed preset.
● LiveSpindle Speed Calculator — Stainless 304
Carbide starting RPM for milling Stainless 304: n = 1000·Vc/(π·D) with a handbook cutting speed preset.
● Live