Discharge In Confined Aquifer With Base 10 Given Coefficient Of Transmissibility Calculator

Formula Used:

\[ Q = \frac{2.72 \times T_w \times (H_i - h_w)}{\log\left(\frac{R_w}{r}, 10\right)} \]

Coefficient of Transmissibility (T_w):

m²/s

Initial Aquifer Thickness (H_i):

Depth of Water (h_w):

Radius of Influence (R_w):

Radius of Well (r):

Discharge (Q):

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1. What is the Discharge in Confined Aquifer Formula?

The discharge formula for confined aquifer with base 10 calculates the rate of flow of water from a well in a confined aquifer. It considers the coefficient of transmissibility, aquifer thickness, water depth, and geometric properties of the well system.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Q = \frac{2.72 \times T_w \times (H_i - h_w)}{\log\left(\frac{R_w}{r}, 10\right)} \]

Where:

\( Q \) — Discharge rate (m³/s)
\( T_w \) — Coefficient of transmissibility (m²/s)
\( H_i \) — Initial aquifer thickness (m)
\( h_w \) — Depth of water in the well (m)
\( R_w \) — Radius of influence (m)
\( r \) — Radius of well (m)

Explanation: The formula accounts for the hydraulic properties of the aquifer and the geometric configuration of the well system to determine the discharge rate.

3. Importance of Discharge Calculation

Details: Accurate discharge calculation is crucial for groundwater resource management, well design, and determining sustainable extraction rates from confined aquifers.

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure that radius of influence is greater than well radius, and initial aquifer thickness is greater than water depth for valid results.

5. Frequently Asked Questions (FAQ)

Q1: What is coefficient of transmissibility?
A: Coefficient of transmissibility represents the rate at which water is transmitted through a unit width of aquifer under a unit hydraulic gradient.

Q2: How is radius of influence determined?
A: Radius of influence is typically determined through field tests or estimated based on aquifer properties and pumping duration.

Q3: What are typical values for coefficient of transmissibility?
A: Values range from 0.1 m²/day for low permeability aquifers to over 1000 m²/day for highly productive aquifers.

Q4: When is this formula applicable?
A: This formula applies to confined aquifers with steady-state flow conditions and fully penetrating wells.

Q5: What are the limitations of this formula?
A: The formula assumes homogeneous isotropic aquifer, constant thickness, and negligible well losses.