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Drawdown at Time Interval 't1' Formula

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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. Check FAQs

s 1 = s 2 - ((\frac{Q}{4 \cdot π \cdot T}) \cdot \ln (\frac{t 2}{t 1}))

s₁ - Drawdown at Time Interval t1?s₂ - Drawdown at Time Interval t2?Q - Discharge?T - Transmissivity?t₂ - Time of Drawdown (t2)?t₁ - Time of Drawdown (t1)?π - Archimedes' constant?

Drawdown at Time Interval 't1' Example

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Here is how the Drawdown at Time Interval 't1' equation looks like with Values.

Here is how the Drawdown at Time Interval 't1' equation looks like with Units.

Here is how the Drawdown at Time Interval 't1' equation looks like.

14.9939 = 14.94 - ((\frac{3}{4 \cdot 3.1416 \cdot 11}) \cdot \ln (\frac{10}{120}))

14.9939m = 14.94m - ((\frac{3m³/s}{4 \cdot 3.1416 \cdot 11m²/s}) \cdot \ln (\frac{10s}{120s}))

14.9939 = 14.94 - ((\frac{3}{4 \cdot 3.1416 \cdot 11}) \cdot \ln (\frac{10}{120}))

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Drawdown at Time Interval 't1' Solution

Follow our step by step solution on how to calculate Drawdown at Time Interval 't1'?

FIRST Step Consider the formula

s 1 = s 2 - ((\frac{Q}{4 \cdot π \cdot T}) \cdot \ln (\frac{t 2}{t 1}))

Next Step Substitute values of Variables

∴

s 1 = 14.94m - ((\frac{3m³/s}{4 \cdot π \cdot 11m²/s}) \cdot \ln (\frac{10s}{120s}))

Next Step Substitute values of Constants

∴

s 1 = 14.94m - ((\frac{3m³/s}{4 \cdot 3.1416 \cdot 11m²/s}) \cdot \ln (\frac{10s}{120s}))

Next Step Prepare to Evaluate

∴

s 1 = 14.94 - ((\frac{3}{4 \cdot 3.1416 \cdot 11}) \cdot \ln (\frac{10}{120}))

Next Step Evaluate

∴

s 1 = 14.9939297967867m

LAST Step Rounding Answer

∴

s 1 = 14.9939m

Drawdown at Time Interval 't1' Formula Elements

Variables

Constants

Functions

Drawdown at Time Interval t1

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.

Symbol: s₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Drawdown at Time Interval t1

Drawdown at Time Interval t2

Drawdown at Time Interval t2 is the decrease in hydraulic head (or groundwater level) in a well or aquifer over a specific time period.

Symbol: s₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Drawdown at Time Interval t2

Discharge

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.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge

Transmissivity

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.

Symbol: T

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Transmissivity

Time of Drawdown (t2)

Time of Drawdown (t2) is the total period for the difference between the pumping water level and the static (non-pumping) water level.

Symbol: t₂

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Time of Drawdown (t2)

Time of Drawdown (t1)

Time of Drawdown (t1) is the total period for the difference between the pumping water level and the static (non-pumping) water level.

Symbol: t₁

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Time of Drawdown (t1)

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Unsteady Flow in a Confined Aquifer category

Go Drawdown

s t = (\frac{Q}{4 \cdot π \cdot T}) \cdot \ln (\frac{2.2 \cdot T \cdot t}{r^{2} \cdot S})

Go Drawdown at Time Interval 't2'

s 2 = ((\frac{Q}{4 \cdot π \cdot T}) \cdot \ln (\frac{t 2}{t 1})) + s 1

Go Equation for Storage Coefficient

S = 2.25 \cdot T \cdot \frac{t 0}{r^{2}}

Go Transmissivity about given Storage Coefficient

T = \frac{S \cdot r^{2}}{2.25 \cdot t 0}

How to Evaluate Drawdown at Time Interval 't1'?

Drawdown at Time Interval 't1' evaluator 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 evaluate 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 evaluate Drawdown at Time Interval 't1' using this online evaluator? To use this online evaluator 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.

FAQs on Drawdown at Time Interval 't1'

What is the formula to find Drawdown at Time Interval 't1'?

The formula of Drawdown at Time Interval 't1' is expressed as Drawdown at Time Interval t1 = Drawdown at Time Interval t2-((Discharge/(4*pi*Transmissivity))*ln(Time of Drawdown (t2)/Time of Drawdown (t1))). Here is an example- 15.05393 = 14.94-((3/(4*pi*11))*ln(10/120)).

How to calculate Drawdown at Time Interval 't1'?

With Drawdown at Time Interval t2 (s₂), Discharge (Q), Transmissivity (T), Time of Drawdown (t2) (t₂) & Time of Drawdown (t1) (t₁) we can find Drawdown at Time Interval 't1' using the formula - Drawdown at Time Interval t1 = Drawdown at Time Interval t2-((Discharge/(4*pi*Transmissivity))*ln(Time of Drawdown (t2)/Time of Drawdown (t1))). This formula also uses Archimedes' constant and Natural Logarithm (ln) function(s).

Can the Drawdown at Time Interval 't1' be negative?

Yes, the Drawdown at Time Interval 't1', measured in Length can be negative.

Which unit is used to measure Drawdown at Time Interval 't1'?

Drawdown at Time Interval 't1' is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Drawdown at Time Interval 't1' can be measured.

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Drawdown at Time Interval 't1' Formula

Drawdown at Time Interval 't1' Example

Drawdown at Time Interval 't1' Solution

Drawdown at Time Interval 't1' Formula Elements

Other formulas in Unsteady Flow in a Confined Aquifer category

How to Evaluate Drawdown at Time Interval 't1'?

FAQs on Drawdown at Time Interval 't1'

Variable Name