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%
✖The Radius of the Pumping Well refers to the physical radius of the well itself, typically measured from the center of the well to its outer edge.ⓘ 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%
✖The Well Constant C2 refers to the coefficient used in the equation for total drawdown in a well, representing the well losses due to turbulent flow and other factors within the well structure.ⓘ Well Constant C2 [C₂]			+10% -10%
✖The Flow Discharge refers to the volume of water passing through a particular cross-section of a river or stream per unit of time. It is typically measured in (m³/s) or cubic feet per second (cfs).ⓘ Flow Discharge [Q_f]			+10% -10%

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

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Groundwater Hydrology Formula PDF PDF Image

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 - The Specific Capacity is referred as 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) - The Radius of the Pumping Well refers to the physical radius of the well itself, typically measured from the center of the well to its outer edge.
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 - The Well Constant C2 refers to the coefficient used in the equation for total drawdown in a well, representing the well losses due to turbulent flow and other factors within the well structure.
Flow Discharge - (Measured in Cubic Meter per Second) - The Flow Discharge refers to the volume of water passing through a particular cross-section of a river or stream per unit of time. It is typically measured in (m³/s) or cubic feet per second (cfs).

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)

You are here -

Home » Engineering » Civil » Engineering Hydrology » Groundwater Hydrology » Specific Capacity » Specific Capacity under Unsteady Drawdown Conditions

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< Specific Capacity Calculators

Specific Capacity under Unsteady Drawdown Conditions

LaTeX 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

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

Specific capacity per unit well area of aquifer

LaTeX Go Specific Capacity = Proportionality Constant/Area of the Well

Specific Capacity under Unsteady Drawdown Conditions Formula

LaTeX Go

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, The Radius of the Pumping Well refers to the physical radius of the well itself, typically measured from the center of the well to its outer edge, 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, The Well Constant C2 refers to the coefficient used in the equation for total drawdown in a well, representing the well losses due to turbulent flow and other factors within the well structure & The Flow Discharge refers to the volume of water passing through a particular cross-section of a river or stream per unit of time. It is typically measured in (m³/s) or cubic feet per second (cfs).

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

Home

FREE PDFs

🔍 Search