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Cerchar Abrasivity Index (CAI) & TBM Tool Wear Calculator

The Cerchar Abrasivity Index (CAI) standardizes rock scratch testing under a 70 N static load across 10 mm of rock surface to evaluate quartz gouging.

Calculated Result
2.50

Cerchar Abrasivity Index (CAI)

Abrasivity Classification

Medium Abrasivity

TBM & Drilling Tool Impact

Moderate wear; sandstones, basalts

Calculation Breakdown

  1. Apply ASTM D7625 Cerchar index formulation CAI = 10 · d (mm)CAI = 10 * 0.25 mm = 2.50

CAI Index across Rock Lithologies

Interactive visualization based on your current inputs

CAI
0.01.22.43.64.8LimestoneShaleBasaltGraniteQuartziteRock TypeCAI

What Is the Cerchar Abrasivity Index (CAI) & TBM Tool Wear Calculator?

The Cerchar Abrasivity Index (CAI) standardizes rock scratch testing under a 70 N static load across 10 mm of rock surface to evaluate quartz gouging.

How Does the Cerchar Abrasivity Index (CAI) & TBM Tool Wear Calculator Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

Cerchar Abrasivity Index (CAI) & TBM Tool Wear Calculator Formula & Variables

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

\text{CAI} = 10 \cdot d \quad (d \text{ in millimeters of wear flat width})

A 0.10 mm wear flat equates to CAI = 1.0; quartz-rich granites and sandstones typically generate CAI values above 3.5.

How to Use the Cerchar Abrasivity Index (CAI) & TBM Tool Wear Calculator

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

Abrasive Granite Drill Core

Input Values:

stylusTipWearFlatMm:0.25

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • Complies with ASTM D7625 standardized Cerchar scratch procedure.

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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