Agritech Engineering

Van Genuchten–Mualem Soil-Root Zone Hydraulic Conductivity Matching Formula Calculator

Van Genuchten–Mualem Soil-Root Zone Hydraulic Conductivity Matching Formula engineering calculator.

Quick Answer

Calculate Van Genuchten–Mualem Soil-Root Zone Hydraulic Conductivity Matching Formula

Calculator

Unsaturated hydraulic conductivity (m⁄s)
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Result Interpretation

Van Genuchten–Mualem Soil-Root Zone Hydraulic Conductivity Matching Formula Calculator computes Unsaturated hydraulic conductivity in m/s using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

  • Saturated hydraulic conductivity = 1.2E-5
  • Van Genuchten shape parameter n = 1.56
  • Effective saturation (theta - theta_r)/(theta_s - theta_r) = 0.42

Expected Result:

  • Unsaturated hydraulic conductivity = 2.1441002318863E-7

Engineering Interpretation:

Under the given input conditions, the calculated result is: Unsaturated hydraulic conductivity = 2.1441002318863E-7 m/s.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.

Formula / Method

unsaturated hydraulic conductivity = saturated hydraulic conductivity * pow((1.0 - pow(theta_s - theta_r, 1.0/van genuchten shape parameter n)), 2.0) * pow((1.0 + pow(theta_s - theta_r, 1.0/van genuchten shape parameter n)), -2.0 * (1.0 + van genuchten shape parameter n))

Formula family: formula_agritech_soil_root_zone_hydraulic_conductivity_matching_tool

Variables

SymbolLabelRoleDescription
Saturated hydraulic conductivity Saturated hydraulic conductivity INPUT Saturated hydraulic conductivity
Van Genuchten shape parameter n Van Genuchten shape parameter n INPUT Van Genuchten shape parameter n
Effective saturation (theta - theta_r)/(theta_s - theta_r) Effective saturation (theta - theta_r)/(theta_s - theta_r) INPUT Effective saturation (theta - theta_r)/(theta_s - theta_r)
Unsaturated hydraulic conductivity Unsaturated hydraulic conductivity OUTPUT Unsaturated hydraulic conductivity

Calculation Steps

  1. Enter the saturated hydraulic conductivity in m/s.
  2. Enter the van genuchten shape parameter n in dimensionless.
  3. Enter the effective saturation (theta - theta_r)/(theta_s - theta_r) in dimensionless.
  4. Step 1: Compute unsaturated hydraulic conductivity.
  5. Read the unsaturated hydraulic conductivity (m/s) from the results.

Engineering Summary

Calculate Van Genuchten–Mualem Soil-Root Zone Hydraulic Conductivity Matching Formula

Frequently Asked Questions

What does this calculator calculate?

The Van Genuchten–Mualem Soil-Root Zone Hydraulic Conductivity Matching Formula Calculator estimates Unsaturated hydraulic conductivity based on the input parameters you provide

Why is saturated hydraulic conductivity important in this calculation?

saturated hydraulic conductivity is directly proportional to unsaturated hydraulic conductivity. When you enter saturated hydraulic conductivity in m/s, the calculator uses it in the engineering formula to compute the output

How should I interpret the result unsaturated hydraulic conductivity?

The calculator outputs unsaturated hydraulic conductivity in m/s. To convert to km/h, multiply the result by 3.6. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Saturated hydraulic conductivity (m/s), Van Genuchten shape parameter n (dimensionless), Effective saturation (theta theta_r)/(theta_s theta_r) (dimensionless). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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