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Longwall Mining Subsidence Profile, Maximum Tilt & Horizontal Strain Calculator

Easily calculate and compute longwall mining subsidence profile, maximum tilt & horizontal strain calculator with accurate equations, live formulas, and expert guidance.

Extracted vertical coal seam thickness.

Overburden depth.

Caving longwall typical a ≈ 0.80 to 0.90.

Calculated Result
2,380 mm

Max Subsidence

Max Subsidence

2,380 mm

Max Vertical Subsidence Mm

2380

Max Surface Tilt Mm Per M

29.5

Max Tensile Strain Mm Per M

8.1

Max Compressive Strain Mm Per M

15.2

2,380 — mm

Calculation Breakdown

  1. Applied FormulaPredicts maximum vertical surface subsidence (S_max in mm), ground tilt (slope), and horizontal tensile/compressive strains caused by longwall underground extraction.S_{\text{max}} = a \cdot m, \quad G_{\text{max}} = \frac{3.1 S_{\text{max}}}{H}, \quad \varepsilon_{\text{max}} = \frac{0.85 S_{\text{max}}}{H}

Mining Subsidence & Tilt Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.05951.2k1.8k2.4kMax Subsidence

What Is the Longwall Mining Subsidence Profile, Maximum Tilt & Horizontal Strain Calculator?

This tool computes longwall mining subsidence profile, maximum tilt & horizontal strain calculator with high precision arithmetic.

How Does the Longwall Mining Subsidence Profile, Maximum Tilt & Horizontal Strain Calculator Work?

Predicts maximum vertical surface subsidence (S_max in mm), ground tilt (slope), and horizontal tensile/compressive strains caused by longwall underground extraction.

Longwall Mining Subsidence Profile, Maximum Tilt & Horizontal Strain Calculator Formula & Variables

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

Smax=a⋅m,Gmax=3.1SmaxH,εmax=0.85SmaxHS_{\text{max}} = a \cdot m, \quad G_{\text{max}} = \frac{3.1 S_{\text{max}}}{H}, \quad \varepsilon_{\text{max}} = \frac{0.85 S_{\text{max}}}{H}

Predicts maximum vertical surface subsidence (S_max in mm), ground tilt (slope), and horizontal tensile/compressive strains caused by longwall underground extraction.

How to Use the Longwall Mining Subsidence Profile, Maximum Tilt & Horizontal Strain Calculator

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

Step-by-Step Example Calculation

Longwall Mining Subsidence Profile, Maximum Tilt & Horizontal Strain Calculator Example

Input Values:

extractedSeamThicknessMeters:2.8
miningDepthMeters:250
subsidenceFactorA:0.85
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required mm.

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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