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Geological Strength Index (GSI) & Rock Mass Modulus of Deformation Calculator

Easily calculate and compute geological strength index (gsi) & rock mass modulus of deformation calculator with accurate equations, live formulas, and expert guidance.

Visual chart rating based on rock blockiness and joint surface condition.

Laboratory intact core modulus (e.g. 30 to 80 GPa).

0.0 for TBM / mechanical excavation; 0.7 for poor bench blasting; 1.0 for heavy open-pit production blast.

Calculated Result
13.8 GPa

Modulus (E_rm)

Modulus (E_rm)

13.8 GPa

Rock Mass Deformation Modulus Gpa

13.8

Modulus Reduction Ratio Erm Over Ei

0.307

Intact Modulus Gpa

45

Tunnel Settlement Implication

Competent rock mass: Low elastic convergence

13.8 — GPa

Calculation Breakdown

  1. Applied FormulaEstimates the in-situ rock mass deformation modulus (E_rm in GPa) from intact rock core modulus (E_i), Geological Strength Index (GSI), and blast disturbance damage (D).E_{rm} = E_i \left(0.02 + \frac{1 - D/2}{1 + \exp\left(\frac{60 + 15D - \text{GSI}}{11}\right)}\right)

GSI & Rock Mass Modulus Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.03.56.91014Modulus (E_rm)

What Is the Geological Strength Index (GSI) & Rock Mass Modulus of Deformation Calculator?

This tool computes geological strength index (gsi) & rock mass modulus of deformation calculator with high precision arithmetic.

How Does the Geological Strength Index (GSI) & Rock Mass Modulus of Deformation Calculator Work?

Estimates the in-situ rock mass deformation modulus (E_rm in GPa) from intact rock core modulus (E_i), Geological Strength Index (GSI), and blast disturbance damage (D).

Geological Strength Index (GSI) & Rock Mass Modulus of Deformation Calculator Formula & Variables

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

Erm=Ei(0.02+1−D/21+exp⁡(60+15D−GSI11))E_{rm} = E_i \left(0.02 + \frac{1 - D/2}{1 + \exp\left(\frac{60 + 15D - \text{GSI}}{11}\right)}\right)

Estimates the in-situ rock mass deformation modulus (E_rm in GPa) from intact rock core modulus (E_i), Geological Strength Index (GSI), and blast disturbance damage (D).

How to Use the Geological Strength Index (GSI) & Rock Mass Modulus of Deformation Calculator

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

Step-by-Step Example Calculation

Geological Strength Index (GSI) & Rock Mass Modulus of Deformation Calculator Example

Input Values:

geologicalStrengthIndexGsi:50
intactModulusOfElasticityEiGpa:45
blastDisturbanceFactorD:0
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required GPa.

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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