Description
Divide their dot product by the direction norm for the signed projected gradient.
Groundwater components relate hydraulic head, storage, porosity, and supplied flow parameters. A local equation uses a declared aquifer model; it does not establish that model from field observations.
Divide their dot product by the direction norm for the signed projected gradient.
When to use this tool
Use Groundwater Hydraulic Gradient Projection when you need one explicit groundwater or soil-storage component.
How to use the tool and how it works
- Enter headGradient, direction. Keep parallel arrays aligned. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read gradient. Use the output convention below.
Require aligned headGradient and direction arrays with nonzero direction norm. Divide their dot product by the direction norm for the signed projected gradient.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| headGradient | Head Gradient | Required. Array of finite number; maximum items 256. |
| direction | Direction | Required. Array of finite number; maximum items 256. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| gradient | Gradient | Required. Finite number. |
{
"input": {
"headGradient": [
0.02,
-0.01
],
"direction": [
3,
0
]
},
"output": {
"gradient": 0.02
}
}Limitations and assumptions
- The direction is normalized internally; coordinate axes and gradient units must be compatible, and no conductivity, Darcy flux, or actual flow direction is inferred.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use suitable field measurements, aquifer assumptions, and a complete groundwater analysis for resource or safety decisions.
References
Similar or alternative tools
- Seepage Velocity Porosity Factor
Divide signed darcyFlux by effectivePorosity in (0, 1] for seepageVelocity.
- Flow Depth Area Factor
Multiply positive width by meanDepth for area and divide signed flow by that area for meanVelocity.