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TBM Tail-Void Grouting Pressure & Annulus Volume Calculator

Easily calculate and compute tbm tail-void grouting pressure & annulus volume calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
5.99 m³/ring

Grout Injection Volume per Ring (V_grout)

Grout Injection Volume per Ring (V_grout)

5.99 m³/ring

Theoretical Annular Volume M3

4.8

Radial Annulus Gap Mm

160

Min Crown Injection Pressure Bar

2.37

5.99 — m³/ring

Calculation Breakdown

  1. Applied FormulaCalculates the geometric tail-void gap volume between TBM overcut diameter and precast segment ring, overfill compensation factor, and minimum synchronous backfill grout injection pressure.V_{\text{annulus}} = \frac{\pi}{4} \left( D_{\text{exc}}^2 - D_{\text{lining}}^2 \right) L_{\text{ring}}, \quad V_{\text{grout}} = V_{\text{annulus}} \cdot k_{\text{fill}}

TBM Tail-Void Grout Volume & Pressure Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.01.53.04.56.0Grout Injection Volume per Ring (V_grout)

What Is the TBM Tail-Void Grouting Pressure & Annulus Volume Calculator?

This tool computes tbm tail-void grouting pressure & annulus volume calculator with high precision arithmetic.

How Does the TBM Tail-Void Grouting Pressure & Annulus Volume Calculator Work?

Calculates the geometric tail-void gap volume between TBM overcut diameter and precast segment ring, overfill compensation factor, and minimum synchronous backfill grout injection pressure.

TBM Tail-Void Grouting Pressure & Annulus Volume Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Vannulus=π4(Dexc2−Dlining2)Lring,Vgrout=Vannulus⋅kfillV_{\text{annulus}} = \frac{\pi}{4} \left( D_{\text{exc}}^2 - D_{\text{lining}}^2 \right) L_{\text{ring}}, \quad V_{\text{grout}} = V_{\text{annulus}} \cdot k_{\text{fill}}

Calculates the geometric tail-void gap volume between TBM overcut diameter and precast segment ring, overfill compensation factor, and minimum synchronous backfill grout injection pressure.

How to Use the TBM Tail-Void Grouting Pressure & Annulus Volume Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

TBM Tail-Void Grouting Pressure & Annulus Volume Calculator Example

Input Values:

excavationDiameterMeters:6.52
segmentOuterDiameterMeters:6.2
ringWidthMeters:1.5
groutOverfillRatio:1.25
waterTableHeadAtCrownMeters:16
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required m³/ring.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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