Approximate Time Required To Cover Area Of Land Irrigated With Water Calculator

Formula Used:

\[ t = 2.3 \times \frac{Y}{f} \times \log_{10}\left(\frac{Q}{Q - f \times A}\right) \]

Depth of Water Flowing Over the Border Strip (Y):

m/s

Rate of Infiltration of Soil (f):

Discharge Through the Supply Ditch (Q):

m³/s

Area of Land Strip to be Irrigated (A):

m²

Time Required to Cover the Given Area With Water (t):

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1. What is the Time Required to Cover Area Formula?

The formula calculates the time required to cover a given area with water in irrigation systems. It considers water depth, soil infiltration rate, water discharge, and the area to be irrigated.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ t = 2.3 \times \frac{Y}{f} \times \log_{10}\left(\frac{Q}{Q - f \times A}\right) \]

Where:

\( t \) — Time required to cover the given area with water (s)
\( Y \) — Depth of water flowing over the border strip (m/s)
\( f \) — Rate of infiltration of soil (cm)
\( Q \) — Discharge through the supply ditch (m³/s)
\( A \) — Area of land strip to be irrigated (m²)

Explanation: The formula calculates the irrigation time by considering the balance between water supply and soil absorption characteristics.

3. Importance of Time Calculation

Details: Accurate time calculation is crucial for efficient irrigation planning, water resource management, and ensuring optimal soil moisture levels for crop growth.

4. Using the Calculator

Tips: Enter depth of water in m/s, infiltration rate in cm, discharge in m³/s, and area in m². All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is the logarithmic function used in this formula?
A: The logarithmic function accounts for the decreasing rate of water coverage as the area gets larger and infiltration continues.

Q2: What are typical values for soil infiltration rates?
A: Infiltration rates vary by soil type: sandy soils (2-5 cm/hr), loamy soils (1-2 cm/hr), clay soils (0.2-1 cm/hr).

Q3: How does water depth affect irrigation time?
A: Greater water depth generally reduces irrigation time, but must be balanced against potential soil erosion and water wastage.

Q4: What factors can affect the accuracy of this calculation?
A: Soil heterogeneity, slope variations, water temperature, and previous soil moisture content can affect accuracy.

Q5: Can this formula be used for different irrigation methods?
A: This formula is specifically designed for border strip irrigation. Other methods like sprinkler or drip irrigation require different calculations.