Geology Transmissivity Pumping Test Jacob Calculator
FIT raw independently qualified late-time pumping time/drawdown; not existing supplied Cooper–Jacob slope formula. Caller independently establishes matching units, evidence, method edition and applicability; output is not compliance, diagnosis, work-safety approval, geological identity or validated hazard prediction.
Description
The Cooper–Jacob straight-line approach estimates aquifer transmissivity from drawdown versus logarithmic pumping time.
The Cooper–Jacob straight-line approach estimates aquifer transmissivity from drawdown versus logarithmic pumping time.1
The time regime, pumping conditions and aquifer assumptions must suit the approximation before a fitted slope has hydrogeological meaning. Use this tool to calculate transmissivity pumping test jacob from the supplied measurements and assumptions.
When to use Geology Transmissivity Pumping Test Jacob Calculator
Use this tool to calculate transmissivity pumping test jacob from the supplied measurements and assumptions. Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
How to use Geology Transmissivity Pumping Test Jacob Calculator and understand its results
- Establish the measurement units, sampled interval, calibration or model edition and geological assumptions before entering data.
- Enter elapsedSeconds, drawdownM, constantPumpM3Second, using the field meanings and rules below, then run the tool.
- Read fittedTransmissivityM2Second, fitRSquared. Interpret the fields using their units, signs and evidence conventions below.
- If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| elapsedSeconds | Elapsed seconds | list of number | Required |
| drawdownM | Drawdown m | list of number | Required |
| constantPumpM3Second | Constant pump m3 second | number | Required |
Require positive elapsed seconds and pumping rate in cubic meters per second. Fit drawdown in meters against log10(time) using at least two aligned points and require a positive fitted slope. Compute transmissivity and report the regression R². Drawdowns are finite but need not be positive; model applicability and the usable late-time interval are caller responsibilities.
T_m²/s=ln(10)×Q_m³/s/(4π×slope_m_per_log10time) Use the exact units, boundary rules, ordering and missing-evidence conventions above.
| Output field | Meaning | Value type |
|---|---|---|
| fittedTransmissivityM2Second | Fitted Transmissivity M2 Second; follow the units, sign, ordering and evidence convention stated above | number |
| fitRSquared | Fit R Squared; follow the units, sign, ordering and evidence convention stated above | number |
{
"input": {
"elapsedSeconds": [
1,
10,
100
],
"drawdownM": [
0,
1,
2
],
"constantPumpM3Second": 1
},
"output": {
"fittedTransmissivityM2Second": 0.18323389971985696,
"fitRSquared": 1
}
}Limitations and assumptions
The time regime, pumping conditions and aquifer assumptions must suit the approximation before a fitted slope has hydrogeological meaning. Interpretation depends on the units, sampling scope and exact model described above.
All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.
Alternative or Complementary methods
Use Geology Storativity Pumping Test Jacob Calculator for this related task: Storativity describes water released from or taken into storage per unit aquifer area per unit hydraulic-head change.
Use Geology Fracture Transmissivity Cubic Law Calculator when its separate inputs and assumptions fit the question: The cubic law models laminar flow through an idealized parallel-plate fracture.
References
Similar or alternative tools
- Geology Storativity Pumping Test Jacob Calculator
Storativity describes water released from or taken into storage per unit aquifer area per unit hydraulic-head change.
- Geology Fracture Transmissivity Cubic Law Calculator
The cubic law models laminar flow through an idealized parallel-plate fracture.