Specific Capacity under Unsteady Drawdown Conditions Calculator

✖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%
✖The time from start of pump is the pumping started at the instant when the groundwater started to flow into the cone of depression.ⓘ Time from start of pump [t]			+10% -10%
✖Radius of the Pumping Well at the edge of zone of influence. A Pumping Well is a well in which pumping is required to increase the formation pressure to allow the free production flow.ⓘ Radius of the Pumping Well [R_w]			+10% -10%
✖Storage Coefficient is the volume of water released from storage per unit decline in hydraulic head in the aquifer, per unit area of the aquifer.ⓘ Storage Coefficient [S]			+10% -10%
✖Well Constant C2 for the well under consideration influences the concerned hydrological processes.ⓘ Well Constant C2 [C₂]			+10% -10%
✖Flow Discharge into a well is the amount of fluid passing a section of a stream in unit time is called the discharge.ⓘ Flow Discharge [Q_f]			+10% -10%

✖Specific Capacity is the amount of water furnished under a standard unit head.ⓘ Specific Capacity under Unsteady Drawdown Conditions [K_s]

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Formula

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Specific Capacity under Unsteady Drawdown Conditions

Formula

`"K"_{"s"} = 1/((1/4*pi*"T")*(ln(2.25*"T"*"t"/("R"_{"w"}^2)*"S"))+"C"_{"2"}*"Q"_{"f"})`

Example

`"0.014491"=1/((1/4*pi*"11m²/s")*(ln(2.25*"11m²/s"*"50min"/(("6m")^2)*"1.2"))+"0.05"*"30.0m³/s")`

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Specific Capacity under Unsteady Drawdown Conditions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Specific Capacity = 1/((1/4*pi*Transmissivity)*(ln(2.25*Transmissivity*Time from start of pump/(Radius of the Pumping Well^2)*Storage Coefficient))+Well Constant C2*Flow Discharge)
K_s = 1/((1/4*pi*T)*(ln(2.25*T*t/(R_w^2)*S))+C₂*Q_f)
This formula uses 1 Constants, 1 Functions, 7 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

Specific Capacity - Specific Capacity is the amount of water furnished under a standard unit head.
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 from start of pump - (Measured in Second) - The time from start of pump is the pumping started at the instant when the groundwater started to flow into the cone of depression.
Radius of the Pumping Well - (Measured in Meter) - Radius of the Pumping Well at the edge of zone of influence. A Pumping Well is a well in which pumping is required to increase the formation pressure to allow the free production flow.
Storage Coefficient - Storage Coefficient is the volume of water released from storage per unit decline in hydraulic head in the aquifer, per unit area of the aquifer.
Well Constant C2 - Well Constant C2 for the well under consideration influences the concerned hydrological processes.
Flow Discharge - (Measured in Cubic Meter per Second) - Flow Discharge into a well is the amount of fluid passing a section of a stream in unit time is called the discharge.

STEP 1: Convert Input(s) to Base Unit

Transmissivity: 11 Square Meter per Second --> 11 Square Meter per Second No Conversion Required
Time from start of pump: 50 Minute --> 3000 Second (Check conversion here)
Radius of the Pumping Well: 6 Meter --> 6 Meter No Conversion Required
Storage Coefficient: 1.2 --> No Conversion Required
Well Constant C2: 0.05 --> No Conversion Required
Flow Discharge: 30 Cubic Meter per Second --> 30 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_s = 1/((1/4*pi*T)*(ln(2.25*T*t/(R_w^2)*S))+C₂*Q_f) --> 1/((1/4*pi*11)*(ln(2.25*11*3000/(6^2)*1.2))+0.05*30)

Evaluating ... ...

K_s = 0.0144910574614259

STEP 3: Convert Result to Output's Unit

0.0144910574614259 --> No Conversion Required

FINAL ANSWER

0.0144910574614259 ≈ 0.014491 <-- Specific Capacity

(Calculation completed in 00.020 seconds)

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< 3 Specific Capacity Calculators

Specific Capacity under Unsteady Drawdown Conditions

Go Specific Capacity = 1/((1/4*pi*Transmissivity)*(ln(2.25*Transmissivity*Time from start of pump/(Radius of the Pumping Well^2)*Storage Coefficient))+Well Constant C2*Flow Discharge)

Specific Capacity and Discharge into Well Relationship

Go Specific Capacity = Flow Discharge/Total drawdown at the well

Specific capacity per unit well area of aquifer

Go Specific Capacity = Proportionality Constant/Area of the Well

Specific Capacity under Unsteady Drawdown Conditions Formula

What is 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 in addition to the water itself.

How to Calculate Specific Capacity under Unsteady Drawdown Conditions?

Specific Capacity under Unsteady Drawdown Conditions calculator uses Specific Capacity = 1/((1/4*pi*Transmissivity)*(ln(2.25*Transmissivity*Time from start of pump/(Radius of the Pumping Well^2)*Storage Coefficient))+Well Constant C2*Flow Discharge) to calculate the Specific Capacity, The Specific Capacity under Unsteady Drawdown Conditions is defined as the discharge per unit drawdown at the well. Specific Capacity is denoted by K_s symbol.

How to calculate Specific Capacity under Unsteady Drawdown Conditions using this online calculator? To use this online calculator for Specific Capacity under Unsteady Drawdown Conditions, enter Transmissivity (T), Time from start of pump (t), Radius of the Pumping Well (R_w), Storage Coefficient (S), Well Constant C2 (C₂) & Flow Discharge (Q_f) and hit the calculate button. Here is how the Specific Capacity under Unsteady Drawdown Conditions calculation can be explained with given input values -> 0.014491 = 1/((1/4*pi*11)*(ln(2.25*11*3000/(6^2)*1.2))+0.05*30).

FAQ

What is Specific Capacity under Unsteady Drawdown Conditions?

The Specific Capacity under Unsteady Drawdown Conditions is defined as the discharge per unit drawdown at the well and is represented as K_s = 1/((1/4*pi*T)*(ln(2.25*T*t/(R_w^2)*S))+C₂*Q_f) or Specific Capacity = 1/((1/4*pi*Transmissivity)*(ln(2.25*Transmissivity*Time from start of pump/(Radius of the Pumping Well^2)*Storage Coefficient))+Well Constant C2*Flow Discharge). 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, The time from start of pump is the pumping started at the instant when the groundwater started to flow into the cone of depression, Radius of the Pumping Well at the edge of zone of influence. A Pumping Well is a well in which pumping is required to increase the formation pressure to allow the free production flow, Storage Coefficient is the volume of water released from storage per unit decline in hydraulic head in the aquifer, per unit area of the aquifer, Well Constant C2 for the well under consideration influences the concerned hydrological processes & Flow Discharge into a well is the amount of fluid passing a section of a stream in unit time is called the discharge.

How to calculate Specific Capacity under Unsteady Drawdown Conditions?

The Specific Capacity under Unsteady Drawdown Conditions is defined as the discharge per unit drawdown at the well is calculated using Specific Capacity = 1/((1/4*pi*Transmissivity)*(ln(2.25*Transmissivity*Time from start of pump/(Radius of the Pumping Well^2)*Storage Coefficient))+Well Constant C2*Flow Discharge). To calculate Specific Capacity under Unsteady Drawdown Conditions, you need Transmissivity (T), Time from start of pump (t), Radius of the Pumping Well (R_w), Storage Coefficient (S), Well Constant C2 (C₂) & Flow Discharge (Q_f). With our tool, you need to enter the respective value for Transmissivity, Time from start of pump, Radius of the Pumping Well, Storage Coefficient, Well Constant C2 & Flow Discharge and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Specific Capacity?

In this formula, Specific Capacity uses Transmissivity, Time from start of pump, Radius of the Pumping Well, Storage Coefficient, Well Constant C2 & Flow Discharge. We can use 2 other way(s) to calculate the same, which is/are as follows -

Specific Capacity = Flow Discharge/Total drawdown at the well
Specific Capacity = Proportionality Constant/Area of the Well

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