Karst Feature Calculator
Sinkhole risk from limestone depth and water table.
About this calculator
Karst landscapes form where groundwater slowly dissolves soluble bedrock like limestone, and this calculator models both the dissolution rate and the resulting sinkhole risk. The dissolution rate is built from a simplified version of the Dreybrodt (1988) framework: a CO2-partial-pressure factor that rises with both temperature and rainfall (more biological activity and more water means more carbonic acid reaching the rock), multiplied by a base rate scaled to annual rainfall and a temperature factor, yielding a rate in millimeters of rock lowered per thousand years. From that rate, the calculator derives a very rough "time to dissolve through the whole limestone thickness," which is a useful relative indicator but not a literal prediction, since real dissolution concentrates along fractures and bedding planes rather than lowering the whole surface uniformly.
The sinkhole susceptibility index (0–100) combines three weighted factors: how thin the overburden is above the limestone (thinner soil cover means a collapse reaches the surface more easily and violently), how close the water table sits to the bedrock surface (a water table already within the limestone scores maximum risk, since water-table fluctuation is what triggers cover-collapse sinkholes), and the dissolution rate itself. That composite maps to a four-tier risk category from Low to Very High. The key limitation to keep in mind is that this is a screening-level index built from general empirical relationships, not a substitute for a site-specific geotechnical or geophysical survey — actual sinkhole formation also depends on local fracture density, cave/void geometry, and human factors like groundwater pumping that this model doesn't capture.
Inputs
Results
Sinkhole susceptibility (0-100)
63.23
How to Use This Calculator
- Enter Limestone thickness (m) from geologic maps or borehole logs.
- Set Depth to bedrock (m) — the thickness of soil or sediment overlying the limestone.
- Enter the Water table depth (m) from surface; when the water table sits within the limestone, sinkhole risk increases sharply.
- Input Annual rainfall (mm) and Average temperature (°C) for the site.
- 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) |
|---|---|
| 7.5 | 71.98 |
| 11 | 70.23 |
| 23 | 49.23 |
| 38 | 36.98 |
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
- Identify Input Parameters4 parametersLimestone thickness (m) = 50, Depth to bedrock (m) = 10, Water table depth (m) = 15, Annual rainfall (mm) = 1000 = 5 input(s) provided
- Calculate Sinkhole susceptibilitySinkhole susceptibility = min(100, max(0,63.23 = 63.23
- Calculate Risk categoryRisk category2 = 2
- Calculate Dissolution rateDissolution rate = 20 * (annualRainfall / 1000) * pCO2Factor *41.25 = 41.25
Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does having the water table inside the bedrock trigger maximum risk on its own?
The calculator sets the Water Table Factor to its maximum value of 1.0 whenever your Water table depth is less than the Depth to bedrock, meaning the water table already sits within the limestone rather than above it. This reflects that water-table fluctuation within the rock is what triggers cover-collapse sinkholes, so this single condition dominates the Sinkhole susceptibility index regardless of the other inputs.
How much does warmer temperature actually change the dissolution rate?
Temperature affects the result in two places: it raises the CO2 partial pressure factor (more biological activity produces more carbonic acid) and it scales a separate temperature multiplier on the base dissolution rate, with 10°C as the reference point where that multiplier equals 1. So a site 20°C warmer than another, all else equal, gets a compounding boost to dissolution rate from both terms.
Should I trust the Time to dissolve output as a literal timeline for when the limestone will be gone?
No — it's calculated by simply dividing the entire limestone thickness by the estimated surface-lowering rate, which assumes uniform dissolution across the whole rock surface. In reality dissolution concentrates along fractures, joints, and bedding planes, forming caves and conduits long before the bulk rock volume would 'dissolve away,' so treat this output as a relative comparison between sites, not a literal prediction.
What's the difference between the Sinkhole susceptibility index and the Risk category?
The Sinkhole susceptibility index is a continuous 0-100 score built from three weighted factors — thin overburden, water table proximity to bedrock, and dissolution rate. The Risk category just buckets that same continuous score into four tiers (Low below 25, Moderate 25-49, High 50-69, Very High 70 and above) for easier interpretation.
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