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Darcy Coefficient of Permeability (k) Falling-Head Lab Permeameter Calculator

Easily calculate and compute darcy coefficient of permeability (k) falling-head lab permeameter calculator with accurate equations, live formulas, and expert guidance.

Internal cross-sectional area of vertical glass standpipe.

Cross-sectional area of cylindrical permeameter cell.

Length of soil specimen.

Water level elevation in standpipe at start t = 0.

Water level elevation in standpipe after elapsed time t.

Duration for water head to drop from h1 to h2.

Water temperature for 20°C viscosity correction.

Calculated Result
0 cm/s

Permeability k₂₀

Permeability k₂₀

0 cm/s

Permeability K20 Cm Per S

1.874e-3

Permeability K20 M Per S

1.874e-5

Raw Permeability At Test Temp Cm Per S

1.709e-3

Viscosity Correction Factor Rt

1.097

0 — cm/s

Calculation Breakdown

  1. Applied FormulaCalculates the hydraulic conductivity (Darcy permeability k) of fine-grained cohesive soils from falling-head permeameter laboratory tests, correcting for water temperature and dynamic fluid viscosity.k = 2.303 \frac{a L}{A t} \log_{10}\left(\frac{h_1}{h_2}\right), \quad k_{20} = k_T R_T

Falling-Head Permeability Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Permeability k₂₀

What Is the Darcy Coefficient of Permeability (k) Falling-Head Lab Permeameter Calculator?

This tool computes darcy coefficient of permeability (k) falling-head lab permeameter calculator with high precision arithmetic.

How Does the Darcy Coefficient of Permeability (k) Falling-Head Lab Permeameter Calculator Work?

Calculates the hydraulic conductivity (Darcy permeability k) of fine-grained cohesive soils from falling-head permeameter laboratory tests, correcting for water temperature and dynamic fluid viscosity.

Darcy Coefficient of Permeability (k) Falling-Head Lab Permeameter Calculator Formula & Variables

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

k=2.303aLAtlog⁡10(h1h2),k20=kTRTk = 2.303 \frac{a L}{A t} \log_{10}\left(\frac{h_1}{h_2}\right), \quad k_{20} = k_T R_T

Calculates the hydraulic conductivity (Darcy permeability k) of fine-grained cohesive soils from falling-head permeameter laboratory tests, correcting for water temperature and dynamic fluid viscosity.

How to Use the Darcy Coefficient of Permeability (k) Falling-Head Lab Permeameter Calculator

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

Step-by-Step Example Calculation

Darcy Coefficient of Permeability (k) Falling-Head Lab Permeameter Calculator Example

Input Values:

standpipeCrossSectionAreaAcm2:0.785
soilSampleAreaAcm2:31.17
soilSampleLengthLcm:12.5
initialHydraulicHeadH1Cm:85
finalHydraulicHeadH2Cm:32
elapsedTimeSeconds:180
waterTemperatureC:20
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required cm/s.

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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