Infiltration Rate Calculator
Calculate soil infiltration rate using Horton's equation. Determine average rate, total infiltration, and runoff potential from field measurements.
About this calculator
Water doesn't soak into soil at a constant rate — it starts fast while the soil is dry and slows as the profile saturates, and Horton's 1940 infiltration equation (R.E. Horton, "An Approach Toward a Physical Interpretation of Infiltration-Capacity," Soil Science Society of America Proceedings) describes that decline as an exponential curve running from an initial rate down to a steady-state final rate. This calculator takes the initial and final rates you measured with a ring infiltrometer, applies a representative exponential decay shape between them over your test duration, and integrates that curve to report the average rate over the whole test and the total depth of water absorbed.
Because a real infiltrometer reading only gives you two rate values and a duration — not a full time series of measurements — the calculator applies a standard decay shape rather than precisely fitting a decay constant to your specific curve; a full lab-quality Horton fit needs several intermediate readings, not just the endpoints. The soil type comparison checks whether your measured steady-state rate falls within the typical range for sand, silt loam, or clay, since a rate well below what's typical for the selected texture usually points to surface sealing, crusting, or subsurface compaction rather than the soil's natural drainage capacity. The runoff potential rating is a simple threshold read on the final rate alone: soils that have slowed to less than roughly a tenth of an inch per hour by the end of the test are flagged as very high runoff risk, since water arriving faster than that steady-state rate has nowhere to go but across the surface.
Inputs
Results
Average Infiltration Rate
1.29 in/hr
Total Infiltration
1.29 inches
Figures current as of 1940. Source: Horton, R.E., "An Approach Toward a Physical Interpretation of Infiltration-Capacity," Soil Science Society of America Proceedings, Vol. 5 (1940), pp. 399–417
How to Use This Calculator
- Conduct a double-ring infiltrometer test and enter the final steady-state infiltration rate in inches per hour.
- Input your soil texture class, initial infiltration rate, and test duration.
- Compare your steady-state rate to the soil type's typical range to check for compaction.
- Review the Average Infiltration Rate and the Runoff Potential rating.
- Use the Total Infiltration result to estimate how much water your soil absorbed during the test period.
How the result changes with Initial Infiltration Rate
| Initial Infiltration Rate | Average Infiltration Rate | Total Infiltration |
|---|---|---|
| 1.5 | 0.82 in/hr | 0.82 inches |
| 2.25 | 1.05 in/hr | 1.05 inches |
| 4.5 | 1.77 in/hr | 1.77 inches |
| 7.5 | 2.72 in/hr | 2.72 inches |
What each input means
- Initial Infiltration Rate
- Infiltration rate at the start of measurement (time zero). This is the highest rate before soil saturation.
- Final (Steady-State) Rate
- Steady-state infiltration rate after the soil reaches equilibrium. Measured after rate stops decreasing.
- Test Duration
- Total duration of the infiltration test in minutes. Standard ring tests run 60–120 minutes.
- Soil Type
- General soil texture for comparison: 1 = Sandy, 2 = Silt Loam, 3 = Clay.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersInitial Infiltration Rate = 3, Final (Steady-State) Rate = 0.5, Test Duration = 60, Soil Type = 2 = 4 input(s) provided
- Calculate Average Infiltration Rate1.29 = 1.29
- Calculate Total Infiltration1.29 = 1.29
- Calculate Soil TypeSoil Type = soil.nameSilt Loam = Silt Loam
- Calculate Typical Range0.2–1.5 = 0.2–1.5
Figures and sources
- Horton's infiltration equation, f(t) = fc + (f0 − fc)e^(−kt) (1940) — Horton, R.E., "An Approach Toward a Physical Interpretation of Infiltration-Capacity," Soil Science Society of America Proceedings, Vol. 5 (1940), pp. 399–417
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 do I need both an initial and a final infiltration rate instead of just one number?
Infiltration rate drops as the soil surface wets up and pore spaces fill, so a single reading only captures conditions at one moment rather than the full behavior of the test. The initial rate captures how fast dry soil absorbs water, the final rate captures the saturated steady-state condition, and the gap between them is exactly what a ring infiltrometer test is designed to measure.
Why might my measured steady-state rate fall below the typical range for my soil type?
A rate noticeably lower than the typical range for your selected texture usually points to a surface or subsurface problem rather than the soil's inherent texture — compaction from equipment traffic, a crusted surface from raindrop impact, or a dense subsoil layer can all restrict water movement well below what the same soil type would achieve in undisturbed condition.
Does a longer test duration change the average infiltration rate reported?
Yes — a longer test gives the rate more time to decay from the initial reading toward the steady-state final reading, so the average over a longer test skews closer to the final rate, while a short test's average sits closer to the initial rate. Total infiltration also scales with duration directly, since it's the average rate applied across however long the test ran.
What does a 'very high' runoff potential rating mean for field management?
It means the measured steady-state infiltration rate is low enough that rainfall or irrigation delivered faster than that rate will pond and run off the surface rather than soaking in, increasing erosion risk and reducing how much water actually reaches the root zone. Practices like reduced tillage, cover cropping, or subsoiling to break compaction can help raise a chronically low steady-state rate over time.
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