Water Table Profile Neglecting Depths Of Water In Drains Calculator

Formula Used:

\[ h = \sqrt{\left(\frac{R}{K}\right) \cdot (L - x) \cdot x} \]

Natural Recharge (R):

m³/s

Coefficient of Permeability (K):

cm/s

Length between Tile Drain (L):

Flow in 'x' Direction (x):

m³/s

Water Table Profile (h):

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1. What is Water Table Profile Neglecting Depths of Water in Drains?

The Water Table Profile refers to the depth of water table below aquifer when neglecting the depths of water in drains. It provides an approximate expression to the water table profile on a horizontal impervious boundary.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h = \sqrt{\left(\frac{R}{K}\right) \cdot (L - x) \cdot x} \]

Where:

\( h \) — Water Table Profile (m)
\( R \) — Natural Recharge (m³/s)
\( K \) — Coefficient of Permeability (cm/s)
\( L \) — Length between Tile Drain (m)
\( x \) — Flow in 'x' Direction (m³/s)

Explanation: This formula calculates the water table profile by considering natural recharge, soil permeability, drain spacing, and flow direction.

3. Importance of Water Table Profile Calculation

Details: Accurate water table profile calculation is crucial for drainage system design, groundwater management, and agricultural planning to prevent waterlogging and ensure proper soil moisture levels.

4. Using the Calculator

Tips: Enter natural recharge in m³/s, coefficient of permeability in cm/s, length between tile drain in meters, and flow in 'x' direction in m³/s. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why neglect depths of water in drains?
A: This simplification provides a reasonable approximation for many practical applications where drain water depths are relatively small compared to the overall water table profile.

Q2: What is natural recharge?
A: Natural recharge is the process by which groundwater is replenished naturally when precipitation infiltrates the ground, moving through soil and rock layers to reach the water table.

Q3: How does coefficient of permeability affect the result?
A: Higher permeability allows water to move more easily through soil, resulting in a lower water table profile for the same recharge rate.

Q4: When is this calculation most applicable?
A: This calculation is most applicable for horizontal impervious boundaries and steady-state flow conditions with uniform recharge.

Q5: What are the limitations of this approach?
A: This approach neglects the actual depths of water in drains, assumes homogeneous soil properties, and may not account for complex boundary conditions or transient flow conditions.