Mine Ground Stability Risk Index Calculator

Quick Answer

Calculate Mine Ground Stability Risk Index Calculator

Result Interpretation

Mine Ground Stability Risk Index Calculator computes Mine Ground Stability Risk Index in dimensionless using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

Pore Water Pressure = 300000
Rock Mass Rating (RMR89) = 45
Maximum Principal In Situ Stress = 6000000
Excavation Height to Width Ratio = 1.5
Barton Q-factor = 2
Maximum Principal Stress to Rock Strength Ratio = 0.6

Expected Result:

Mine Ground Stability Risk Index = 0.17567852458397

Engineering Interpretation:

Under the given input conditions, the calculated result is: Mine Ground Stability Risk Index = 0.17567852458397 dimensionless.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.

Formula / Method

mine ground stability risk index = (RMR89 / 100.0) * pow(maximum principal stress to rock strength ratio, 1.5) * (1.0 + (pore water pressure / maximum principal in situ stress)) * (1.0 / (1.0 + excavation height to width ratio)) * barton q-factor

Formula family: formula_mining_mine_ground_stability_risk_index_calculator

Variables

Symbol	Label	Role	Description
RMR_89	Rock Mass Rating (RMR89)	INPUT	Rock Mass Rating (RMR89)
stress_ratio	Maximum Principal Stress to Rock Strength Ratio	INPUT	Maximum Principal Stress to Rock Strength Ratio
u_w	Pore Water Pressure	INPUT	Pore Water Pressure
sigma_1	Maximum Principal In Situ Stress	INPUT	Maximum Principal In Situ Stress
H_over_B	Excavation Height to Width Ratio	INPUT	Excavation Height to Width Ratio
Q_factor	Barton Q-factor	INPUT	Barton Q-factor
mine_ground_stability_risk_index	Mine Ground Stability Risk Index	OUTPUT	Mine Ground Stability Risk Index

Calculation Steps

Enter the rock mass rating (rmr89) in dimensionless.
Enter the maximum principal stress to rock strength ratio in dimensionless.
Enter the pore water pressure in Pa.
Enter the maximum principal in situ stress in Pa.
Enter the excavation height to width ratio in dimensionless.
Enter the barton q-factor in dimensionless.
Step 1: Compute mine ground stability risk index.
Read the mine ground stability risk index (dimensionless) from the results.

Engineering Summary

Calculate Mine Ground Stability Risk Index Calculator

Frequently Asked Questions

What does this calculator calculate?

The Mine Ground Stability Risk Index Calculator estimates Mine Ground Stability Risk Index based on the input parameters you provide

Why is rock mass rating (rmr89) important in this calculation?

rock mass rating (rmr89) is directly proportional to mine ground stability risk index. When you enter rock mass rating (rmr89) in dimensionless, the calculator uses it in the engineering formula to compute the output

How should I interpret the result mine ground stability risk index?

The calculator outputs mine ground stability risk index in dimensionless. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Rock Mass Rating (RMR89) (dimensionless), Maximum Principal Stress to Rock Strength Ratio (dimensionless), Pore Water Pressure (Pa), Maximum Principal In Situ Stress (Pa), Excavation Height to Width Ratio (dimensionless), Barton Q-factor (dimensionless). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment