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Transient Confined Aquifer Well Drawdown Calculator (Theis Equation)

Easily calculate and compute transient confined aquifer well drawdown calculator (theis equation) with accurate equations, live formulas, and expert guidance.

Constant abstraction rate.

T = K * aquifer thickness b.

Elastic storativity (confined aquifer 1e-5 to 1e-3).

Observation piezometer distance from pumped well.

Continuous pumping duration in days.

Calculated Result
3.71 m

Drawdown (s)

Drawdown (s)

3.71 m

Piezometric Drawdown Meters

3.71

Theis Well Function Wu

8.746

Dimensionless Parameter U

0.000089

Cooper Jacob Valid

VALID (u < 0.05 Cooper-Jacob logarithmic)

3.71 — m

Calculation Breakdown

  1. Applied FormulaSolves the non-equilibrium Theis equation for unsteady piezometric head drawdown in confined aquifers.W(u) = \int_{u}^{\infty} \frac{e^{-x}}{x} dx \approx -0.5772 - \ln(u) + u - \dots

Theis Well Drawdown Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.91.92.83.7Drawdown (s)

What Is the Transient Confined Aquifer Well Drawdown Calculator (Theis Equation)?

This tool computes transient confined aquifer well drawdown calculator (theis equation) with high precision arithmetic.

How Does the Transient Confined Aquifer Well Drawdown Calculator (Theis Equation) Work?

Solves the non-equilibrium Theis equation for unsteady piezometric head drawdown in confined aquifers.

Transient Confined Aquifer Well Drawdown Calculator (Theis Equation) Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

W(u)=∫u∞e−xxdx≈−0.5772−ln⁡(u)+u−…W(u) = \int_{u}^{\infty} \frac{e^{-x}}{x} dx \approx -0.5772 - \ln(u) + u - \dots

Solves the non-equilibrium Theis equation for unsteady piezometric head drawdown in confined aquifers.

How to Use the Transient Confined Aquifer Well Drawdown Calculator (Theis Equation)

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Transient Confined Aquifer Well Drawdown Calculator (Theis Equation) Example

Input Values:

pumpingRateQ_M3Day:2400.0
transmissivityT_M2Day:450.0
storageCoefficientS:0.0004
radialDistanceRM:75.0
pumpingDurationDaysT:14.0
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required m.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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