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Calcimator

Karst Feature Calculator

Sinkhole risk from limestone depth and water table.

Inputs

Results

Sinkhole susceptibility (0-100)

63.23

Risk category (0-3)2
Dissolution rate (mm/kyr)41.25
Time to dissolve (kyr)1,212
Cavity volume (m³/kyr/ha)20.63
CO₂ factor1.83
How to Use This Calculator
  1. Enter Limestone thickness (m) from geologic maps or borehole logs.
  2. Set Depth to bedrock (m) — the thickness of soil or sediment overlying the limestone.
  3. Enter the Water table depth (m) from surface; when the water table sits within the limestone, sinkhole risk increases sharply.
  4. Input Annual rainfall (mm) and Average temperature (°C) for the site.
  5. Interpret the Sinkhole susceptibility index (0–100) and Risk category (0=Low to 3=Very High) to guide site assessment decisions.

How the result changes with Water table depth (m)

Water table depth (m)Sinkhole susceptibility (0-100)
2054.48
7036.98
13036.98
18036.98

What each input means

Limestone thickness (m)
Total thickness of the soluble carbonate rock layer.
Depth to bedrock (m)
Thickness of soil/sediment overburden above the limestone.
Water table depth (m)
Depth from surface to the water table.
Annual rainfall (mm)
Total annual precipitation in millimeters. More rain = faster dissolution.
Average temperature (°C)
Mean annual temperature. Warmer climates have higher CO2 in soil water.

What each result means

Sinkhole susceptibility (0-100)
Composite index of sinkhole formation risk. Higher = more susceptible.
Risk category (0-3)
0=Low, 1=Moderate, 2=High, 3=Very High sinkhole risk.
Dissolution rate (mm/kyr)
Estimated limestone surface lowering rate in mm per thousand years.
Time to dissolve (kyr)
Very rough estimate of time to dissolve through the entire limestone thickness.
Cavity volume (m³/kyr/ha)
Estimated rate of underground cavity development per hectare.
CO₂ factor
Relative CO₂ partial pressure factor driving dissolution aggressiveness.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Limestone thickness (m) = 50, Depth to bedrock (m) = 10, Water table depth (m) = 15, Annual rainfall (mm) = 1000 = 5 input(s) provided
  2. Calculate Sinkhole susceptibility
    Sinkhole susceptibility = min(100, max(0,
    63.23 = 63.23
  3. Calculate Risk category
    Risk category
    2 = 2
  4. Calculate Dissolution rate
    Dissolution rate = 20 * (annualRainfall / 1000) * pCO2Factor *
    41.25 = 41.25

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