Depth of Water in Well given Discharge in Unconfined Aquifer Calculator

✖Thickness of Unconfined Aquifer is measured from impermeable layer to the initial level of water table.ⓘ Thickness of Unconfined Aquifer [H]			+10% -10%
✖Discharge is the flow rate of water that is extracted from or injected into a well.ⓘ Discharge [Q]			+10% -10%
✖Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.ⓘ Radius of Influence [R_w]			+10% -10%
✖Radius of Well is defined as the distance from center of well to its outer boundary.ⓘ Radius of Well [r]			+10% -10%
✖Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability in Well Hydraulics [K_WH]			+10% -10%

✖Depth of Water in Well given Discharge is the depth or water level inside a well that can sustain a specific discharge rate.ⓘ Depth of Water in Well given Discharge in Unconfined Aquifer [h'']

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Depth of Water in Well given Discharge in Unconfined Aquifer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Water in Well given Discharge = sqrt(Thickness of Unconfined Aquifer^2-(Discharge*log((Radius of Influence/Radius of Well),e))/(pi*Coefficient of Permeability in Well Hydraulics))
h'' = sqrt(H^2-(Q*log((R_w/r),e))/(pi*K_WH))
This formula uses 2 Constants, 2 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
log - Logarithmic function is an inverse function to exponentiation., log(Base, Number)

Variables Used

Depth of Water in Well given Discharge - (Measured in Meter) - Depth of Water in Well given Discharge is the depth or water level inside a well that can sustain a specific discharge rate.
Thickness of Unconfined Aquifer - (Measured in Meter) - Thickness of Unconfined Aquifer is measured from impermeable layer to the initial level of water table.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the flow rate of water that is extracted from or injected into a well.
Radius of Influence - (Measured in Meter) - Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table.
Radius of Well - (Measured in Meter) - Radius of Well is defined as the distance from center of well to its outer boundary.
Coefficient of Permeability in Well Hydraulics - (Measured in Meter per Second) - Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.

STEP 1: Convert Input(s) to Base Unit

Thickness of Unconfined Aquifer: 5 Meter --> 5 Meter No Conversion Required
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Radius of Influence: 8.6 Meter --> 8.6 Meter No Conversion Required
Radius of Well: 7.5 Meter --> 7.5 Meter No Conversion Required
Coefficient of Permeability in Well Hydraulics: 10 Centimeter per Second --> 0.1 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h'' = sqrt(H^2-(Q*log((R_w/r),e))/(pi*K_WH)) --> sqrt(5^2-(1.01*log((8.6/7.5),e))/(pi*0.1))

Evaluating ... ...

h'' = 1.228500482931

STEP 3: Convert Result to Output's Unit

1.228500482931 Meter --> No Conversion Required

FINAL ANSWER

1.228500482931 ≈ 1.2285 Meter <-- Depth of Water in Well given Discharge

(Calculation completed in 00.008 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Depth of Water in Well Calculators

Depth of Water at Point 1 given Discharge of Two Wells under Consideration

LaTeX Go Depth of Water 1 = sqrt(Depth of Water 2^2-(Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),e))/(pi*Coefficient of Permeability in Well Hydraulics))

Depth of Water at Point 2 given Discharge of Two Wells under Consideration

LaTeX Go Depth of Water 2 = sqrt(Depth of Water 1^2+(Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),e))/(pi*Coefficient of Permeability in Well Hydraulics))

Depth of Water in Well given Discharge in Unconfined Aquifer

LaTeX Go Depth of Water in Well given Discharge = sqrt(Thickness of Unconfined Aquifer^2-(Discharge*log((Radius of Influence/Radius of Well),e))/(pi*Coefficient of Permeability in Well Hydraulics))

Depth of Water at Point 1 given Discharge from Two Wells with Base 10

LaTeX Go Depth of Water 1 = sqrt(Depth of Water 2^2-(Discharge*log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),10))/(1.36*Coefficient of Permeability in Well Hydraulics))

Depth of Water in Well given Discharge in Unconfined Aquifer Formula

LaTeX Go

What is Aquifer?

An aquifer is an underground layer of water-bearing permeable rock, rock fractures or unconsolidated materials (gravel, sand, or silt). Groundwater can be extracted using a water well.

How to Calculate Depth of Water in Well given Discharge in Unconfined Aquifer?

Depth of Water in Well given Discharge in Unconfined Aquifer calculator uses Depth of Water in Well given Discharge = sqrt(Thickness of Unconfined Aquifer^2-(Discharge*log((Radius of Influence/Radius of Well),e))/(pi*Coefficient of Permeability in Well Hydraulics)) to calculate the Depth of Water in Well given Discharge, The Depth of Water in Well given Discharge in Unconfined Aquifer formula is defined as the calculation of the value of depth of water when we have prior information of discharge in unconfined aquifer. Depth of Water in Well given Discharge is denoted by h'' symbol.

How to calculate Depth of Water in Well given Discharge in Unconfined Aquifer using this online calculator? To use this online calculator for Depth of Water in Well given Discharge in Unconfined Aquifer, enter Thickness of Unconfined Aquifer (H), Discharge (Q), Radius of Influence (R_w), Radius of Well (r) & Coefficient of Permeability in Well Hydraulics (K_WH) and hit the calculate button. Here is how the Depth of Water in Well given Discharge in Unconfined Aquifer calculation can be explained with given input values -> 1.2285 = sqrt(5^2-(1.01*log((8.6/7.5),e))/(pi*0.1)).

FAQ

What is Depth of Water in Well given Discharge in Unconfined Aquifer?

The Depth of Water in Well given Discharge in Unconfined Aquifer formula is defined as the calculation of the value of depth of water when we have prior information of discharge in unconfined aquifer and is represented as h'' = sqrt(H^2-(Q*log((R_w/r),e))/(pi*K_WH)) or Depth of Water in Well given Discharge = sqrt(Thickness of Unconfined Aquifer^2-(Discharge*log((Radius of Influence/Radius of Well),e))/(pi*Coefficient of Permeability in Well Hydraulics)). Thickness of Unconfined Aquifer is measured from impermeable layer to the initial level of water table, Discharge is the flow rate of water that is extracted from or injected into a well, Radius of Influence measured from the center of the well to the point where drawdown curve meets the original water table, Radius of Well is defined as the distance from center of well to its outer boundary & Coefficient of Permeability in Well Hydraulics of soil in well hydraulics describes how easily a liquid will move through the soil.

How to calculate Depth of Water in Well given Discharge in Unconfined Aquifer?

The Depth of Water in Well given Discharge in Unconfined Aquifer formula is defined as the calculation of the value of depth of water when we have prior information of discharge in unconfined aquifer is calculated using Depth of Water in Well given Discharge = sqrt(Thickness of Unconfined Aquifer^2-(Discharge*log((Radius of Influence/Radius of Well),e))/(pi*Coefficient of Permeability in Well Hydraulics)). To calculate Depth of Water in Well given Discharge in Unconfined Aquifer, you need Thickness of Unconfined Aquifer (H), Discharge (Q), Radius of Influence (R_w), Radius of Well (r) & Coefficient of Permeability in Well Hydraulics (K_WH). With our tool, you need to enter the respective value for Thickness of Unconfined Aquifer, Discharge, Radius of Influence, Radius of Well & Coefficient of Permeability in Well Hydraulics and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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