Drawdown at Time Interval 't1' Calculator

✖Drawdown at Time Interval t2 is the decrease in hydraulic head (or groundwater level) in a well or aquifer over a specific time period.ⓘ Drawdown at Time Interval t2 [s₂]			+10% -10%
✖Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.ⓘ Discharge [Q]			+10% -10%
✖Transmissivity is the rate at which groundwater flows horizontally through an aquifer or the degree to which a medium allows something, in particular electromagnetic radiation, to pass through it.ⓘ Transmissivity [T]			+10% -10%
✖Time of Drawdown (t2) is the total period for the difference between the pumping water level and the static (non-pumping) water level.ⓘ Time of Drawdown (t2) [t₂]			+10% -10%
✖Time of Drawdown (t1) is the total period for the difference between the pumping water level and the static (non-pumping) water level.ⓘ Time of Drawdown (t1) [t₁]			+10% -10%

✖Drawdown at Time Interval t1 is the decrease in the water level or hydraulic head in a well or an aquifer over a specified period after the start of pumping.ⓘ Drawdown at Time Interval 't1' [s₁]

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Drawdown at Time Interval 't1' Solution

STEP 0: Pre-Calculation Summary

Formula Used

Drawdown at Time Interval t1 = Drawdown at Time Interval t2-((Discharge/(4*pi*Transmissivity))*ln(Time of Drawdown (t2)/Time of Drawdown (t1)))
s₁ = s₂-((Q/(4*pi*T))*ln(t₂/t₁))
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Drawdown at Time Interval t1 - (Measured in Meter) - Drawdown at Time Interval t1 is the decrease in the water level or hydraulic head in a well or an aquifer over a specified period after the start of pumping.
Drawdown at Time Interval t2 - (Measured in Meter) - Drawdown at Time Interval t2 is the decrease in hydraulic head (or groundwater level) in a well or aquifer over a specific time period.
Discharge - (Measured in Cubic Meter per Second) - Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.
Transmissivity - (Measured in Square Meter per Second) - Transmissivity is the rate at which groundwater flows horizontally through an aquifer or the degree to which a medium allows something, in particular electromagnetic radiation, to pass through it.
Time of Drawdown (t2) - (Measured in Second) - Time of Drawdown (t2) is the total period for the difference between the pumping water level and the static (non-pumping) water level.
Time of Drawdown (t1) - (Measured in Second) - Time of Drawdown (t1) is the total period for the difference between the pumping water level and the static (non-pumping) water level.

STEP 1: Convert Input(s) to Base Unit

Drawdown at Time Interval t2: 14.94 Meter --> 14.94 Meter No Conversion Required
Discharge: 3 Cubic Meter per Second --> 3 Cubic Meter per Second No Conversion Required
Transmissivity: 11 Square Meter per Second --> 11 Square Meter per Second No Conversion Required
Time of Drawdown (t2): 10 Second --> 10 Second No Conversion Required
Time of Drawdown (t1): 120 Second --> 120 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s₁ = s₂-((Q/(4*pi*T))*ln(t₂/t₁)) --> 14.94-((3/(4*pi*11))*ln(10/120))

Evaluating ... ...

s₁ = 14.9939297967867

STEP 3: Convert Result to Output's Unit

14.9939297967867 Meter --> No Conversion Required

FINAL ANSWER

14.9939297967867 ≈ 14.99393 Meter <-- Drawdown at Time Interval t1

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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National Institute of Technology (NIT), Warangal

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< Unsteady Flow in a Confined Aquifer Calculators

Drawdown

LaTeX Go Total Drawdown = (Discharge/(4*pi*Transmissivity))*ln((2.2*Transmissivity*Time Period)/(Distance from Pumping Well^2*Storage Coefficient))

Drawdown at Time Interval 't1'

LaTeX Go Drawdown at Time Interval t1 = Drawdown at Time Interval t2-((Discharge/(4*pi*Transmissivity))*ln(Time of Drawdown (t2)/Time of Drawdown (t1)))

Drawdown at Time Interval 't2'

LaTeX Go Drawdown at Time Interval t2 = ((Discharge/(4*pi*Transmissivity))*ln(Time of Drawdown (t2)/Time of Drawdown (t1)))+Drawdown at Time Interval t1

Equation for Storage Coefficient

LaTeX Go Storage Coefficient = 2.25*Transmissivity*Starting Time/Distance from Pumping Well^2

Drawdown at Time Interval 't1' Formula

LaTeX Go

Drawdown at Time Interval t1 = Drawdown at Time Interval t2-((Discharge/(4*pi*Transmissivity))*ln(Time of Drawdown (t2)/Time of Drawdown (t1)))
s₁ = s₂-((Q/(4*pi*T))*ln(t₂/t₁))

What is Drawdown in Hydrology?

Drawdown is a change in groundwater level due to an applied stress, caused by events such as: Pumping from a well. Pumping from a neighbouring well. Intensive water taking from local area. Seasonal declines as recharge rates lower.

How to Calculate Drawdown at Time Interval 't1'?

Drawdown at Time Interval 't1' calculator uses Drawdown at Time Interval t1 = Drawdown at Time Interval t2-((Discharge/(4*pi*Transmissivity))*ln(Time of Drawdown (t2)/Time of Drawdown (t1))) to calculate the Drawdown at Time Interval t1, The Drawdown at Time Interval 't1' formula is defined as the change in the water level in a well or piezometer due to pumping or other influences over a specific time period 't1'. Drawdown at Time Interval t1 is denoted by s₁ symbol.

How to calculate Drawdown at Time Interval 't1' using this online calculator? To use this online calculator for Drawdown at Time Interval 't1', enter Drawdown at Time Interval t2 (s₂), Discharge (Q), Transmissivity (T), Time of Drawdown (t2) (t₂) & Time of Drawdown (t1) (t₁) and hit the calculate button. Here is how the Drawdown at Time Interval 't1' calculation can be explained with given input values -> 15.05393 = 14.94-((3/(4*pi*11))*ln(10/120)).

FAQ

What is Drawdown at Time Interval 't1'?

The Drawdown at Time Interval 't1' formula is defined as the change in the water level in a well or piezometer due to pumping or other influences over a specific time period 't1' and is represented as s₁ = s₂-((Q/(4*pi*T))*ln(t₂/t₁)) or Drawdown at Time Interval t1 = Drawdown at Time Interval t2-((Discharge/(4*pi*Transmissivity))*ln(Time of Drawdown (t2)/Time of Drawdown (t1))). Drawdown at Time Interval t2 is the decrease in hydraulic head (or groundwater level) in a well or aquifer over a specific time period, Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material, Transmissivity is the rate at which groundwater flows horizontally through an aquifer or the degree to which a medium allows something, in particular electromagnetic radiation, to pass through it, Time of Drawdown (t2) is the total period for the difference between the pumping water level and the static (non-pumping) water level & Time of Drawdown (t1) is the total period for the difference between the pumping water level and the static (non-pumping) water level.

How to calculate Drawdown at Time Interval 't1'?

The Drawdown at Time Interval 't1' formula is defined as the change in the water level in a well or piezometer due to pumping or other influences over a specific time period 't1' is calculated using Drawdown at Time Interval t1 = Drawdown at Time Interval t2-((Discharge/(4*pi*Transmissivity))*ln(Time of Drawdown (t2)/Time of Drawdown (t1))). To calculate Drawdown at Time Interval 't1', you need Drawdown at Time Interval t2 (s₂), Discharge (Q), Transmissivity (T), Time of Drawdown (t2) (t₂) & Time of Drawdown (t1) (t₁). With our tool, you need to enter the respective value for Drawdown at Time Interval t2, Discharge, Transmissivity, Time of Drawdown (t2) & Time of Drawdown (t1) 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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