Coefficient Of Permeability Given Discharge Due To Spherical Flow In Well Calculator

Formula Used:

\[ k = \frac{Qs}{2 \pi r' (H - hw)} \]

Discharge by Spherical Flow (Qs):

m³/s

Radius of Well (r'):

Thickness of Aquifer (H):

Depth of Water (hw):

Coefficient of Permeability (k):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Coefficient of Permeability?

The Coefficient of Permeability of soil describes how easily a liquid will move through the soil. It is a key parameter in groundwater hydrology and geotechnical engineering.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ k = \frac{Qs}{2 \pi r' (H - hw)} \]

Where:

\( k \) — Coefficient of Permeability (m/s)
\( Qs \) — Discharge by Spherical Flow (m³/s)
\( r' \) — Radius of Well (m)
\( H \) — Thickness of Aquifer (m)
\( hw \) — Depth of Water in the well measured above the impermeable layer (m)
\( \pi \) — Archimedes' constant (approximately 3.1416)

Explanation: This formula calculates the permeability coefficient based on spherical flow discharge and well geometry parameters.

3. Importance of Coefficient of Permeability Calculation

Details: Accurate permeability coefficient calculation is crucial for designing drainage systems, predicting groundwater flow, and assessing contaminant transport in soil.

4. Using the Calculator

Tips: Enter discharge in m³/s, radius in meters, aquifer thickness in meters, and water depth in meters. All values must be valid positive numbers, and aquifer thickness must be greater than water depth.

5. Frequently Asked Questions (FAQ)

Q1: What is spherical flow in wells?
A: Spherical flow occurs when groundwater flows radially toward a well from all directions in three dimensions, typically in partially penetrating wells.

Q2: What are typical values for coefficient of permeability?
A: Permeability coefficients range from 10⁻² m/s for gravel to 10⁻⁹ m/s for clay, depending on soil type.

Q3: How does this differ from radial flow equations?
A: Spherical flow equations account for three-dimensional flow patterns, while radial flow typically assumes two-dimensional horizontal flow.

Q4: When is spherical flow assumption appropriate?
A: Spherical flow is appropriate for partially penetrating wells where vertical flow components are significant.

Q5: What are the limitations of this formula?
A: This formula assumes homogeneous, isotropic soil conditions and steady-state flow conditions.