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Falling-Head Soil Permeability (Hydraulic Conductivity) Calculator

The laboratory falling-head permeameter test measures hydraulic conductivity in fine-grained soils (silts and fine sands) where seepage rates are low.

Calculated Result
1.925e-3 cm/s

Hydraulic Conductivity (k)

Conductivity in SI (m/s)

1.925e-5 m/s

Logarithmic Head Ratio ln(h1/h2)

0.693

Calculation Breakdown

  1. Apply falling-head permeameter formula k = (a·L / A·Δt) · ln(h1 / h2)k = (0.5 * 10) / (30 * 60) * ln(100/50) = 1.925e-3 cm/s

Typical Permeabilities by Soil Type (cm/s)

Interactive visualization based on your current inputs

Conductivity
-7.0-5.0-3.0-1.01.0Clean GravelClean SandSilt / Silty SandIntact ClaySoil Typelog10(k cm/s)

What Is the Falling-Head Soil Permeability (Hydraulic Conductivity) Calculator?

The laboratory falling-head permeameter test measures hydraulic conductivity in fine-grained soils (silts and fine sands) where seepage rates are low.

How Does the Falling-Head Soil Permeability (Hydraulic Conductivity) Calculator Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

Falling-Head Soil Permeability (Hydraulic Conductivity) Calculator Formula & Variables

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

k = \frac{a \cdot L}{A \cdot \Delta t} \ln\left(\frac{h_1}{h_2}\right)

Where a is standpipe area, A is specimen area, L is sample length, and h1/h2 are hydraulic water heads at start and finish.

How to Use the Falling-Head Soil Permeability (Hydraulic Conductivity) Calculator

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

Lab Test on Silty Sand

Input Values:

standpipeAreaCm2:0.5
sampleAreaCm2:30
sampleLengthCm:10
initialHeadH1Cm:100
finalHeadH2Cm:50
elapsedTimeSec:60

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • Ensure water is de-aired to prevent entrapped air bubbles blocking soil pore throats.

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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