Total Discharge Carried By Drain Calculator

Formula Used:

\[ q = \frac{4 \times k}{s} \times (b^2 - a^2) \]

Coefficient of Permeability (k):

m/s

Spacing Between the Drains (s):

Maximum Height of the Drained Water Table (b):

Depth of Imprevious Stratum from Centre of Drains (a):

Total Discharge Carried by Drain (q):

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1. What is the Total Discharge Carried by Drain Formula?

The Total Discharge Carried by Drain formula calculates the total discharge per unit length carried by a drain system. It's essential for designing efficient drainage systems in various engineering applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ q = \frac{4 \times k}{s} \times (b^2 - a^2) \]

Where:

\( q \) — Total discharge carried by drain (m³/s)
\( k \) — Coefficient of permeability (m/s)
\( s \) — Spacing between the drains (m)
\( b \) — Maximum height of the drained water table (m)
\( a \) — Depth of impervious stratum from centre of drains (m)

Explanation: This formula accounts for the permeability of the soil, drain spacing, and the geometry of the water table to determine the drainage capacity.

3. Importance of Drain Discharge Calculation

Details: Accurate calculation of drain discharge is crucial for designing effective drainage systems, preventing waterlogging, and maintaining soil stability in agricultural, civil, and environmental engineering projects.

4. Using the Calculator

Tips: Enter all values in appropriate units (meters and meters per second). Ensure all values are positive, with spacing and height values greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the coefficient of permeability?
A: The coefficient of permeability (k) measures how easily water can flow through a porous material like soil. Higher values indicate more permeable materials.

Q2: How does drain spacing affect discharge capacity?
A: Closer drain spacing increases the total discharge capacity as it provides more drainage paths for water to flow through the system.

Q3: What is the significance of the impervious stratum depth?
A: The depth of the impervious stratum affects the flow pattern and determines the effective drainage area that contributes to the total discharge.

Q4: Can this formula be used for all soil types?
A: The formula is generally applicable but works best for homogeneous soils. For layered or anisotropic soils, more complex models may be needed.

Q5: What are typical values for the coefficient of permeability?
A: Permeability values vary widely: gravel (10⁻¹-10⁻² m/s), sand (10⁻³-10⁻⁵ m/s), clay (10⁻⁷-10⁻⁹ m/s). The specific value depends on soil composition and compaction.