Petroleum Nodal Analysis Outflow TPR Calculator
Read actual matched tubing-outflow pressure/rate calibration, no fabricated multiphase vertical-lift correlation or optimum nodal solution. Piecewise linear measured calibration only; no extrapolation. Caller independently verifies units, applicability and matching conditions; no operational recipe, safety certification, causal efficacy or legal/resource classification is inferred.
Description
Tubing outflow performance relates liquid rate to the bottomhole pressure required under matched conditions.
Tubing outflow performance relates liquid rate to the bottomhole pressure required under matched conditions.1
This tool interpolates an observed outflow branch and its local slope rather than modeling multiphase lift or finding a nodal operating point.
When to use Petroleum Nodal Analysis Outflow TPR Calculator
Use this tool when you need to read a measured branch response and local slope within its recorded domain. Prepare completed matched measurements, SI or explicitly stated oilfield units, and independent evidence for the selected branch or calibration.
How to use Petroleum Nodal Analysis Outflow TPR Calculator and understand its results
- Prepare completed matched measurements, SI or explicitly stated oilfield units, and independent evidence for the selected branch or calibration.
- Enter observedWellMatchedOutflowRatesM3Day, observedRequiredBottomholePressuresPa, queryOutflowRateM3Day, following the field table and calculation rules below, then run the tool.
- Read interpolatedMeasuredTprPressurePa, localObservedSecantSlope. For result objects, inspect the nested output fields below, including any missing evidence or selected indices.
- Correct any input issues and run again. Before using a successful result, review its units, signs, evidence coverage, and stated model or reference assumptions.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedWellMatchedOutflowRatesM3Day | Observed well matched outflow rates m3 day; volume rate in cubic metres per day. | list of number | Required |
| observedRequiredBottomholePressuresPa | Observed required bottomhole pressures pa; pressure or stress in pascals, with the sign convention described above. | list of number | Required |
| queryOutflowRateM3Day | Query outflow rate m3 day; volume rate in cubic metres per day. | number | Required |
Require positive measured rates in m³/day, required pressures in Pa, and a positive query rate. Apply the supplied increasing rate calibration, returning pressure and Pa/(m³/day) local slope. Zero-rate queries are outside this tool’s positive-rate contract.
The calibration helper requires at least two nonempty aligned finite samples with coordinates strictly increasing and the query in their closed interval. Interpolate linearly between neighboring coordinates and return the segment slope. At an exact knot use its observed response and the segment to the right, except at the final knot use the last segment. Out-of-range queries fail. Tool-specific restrictions stated above still apply.
t=(query−x_i)/(x_(i+1)−x_i); response=(1−t)y_i+t y_(i+1); slope=(y_(i+1)−y_i)/(x_(i+1)−x_i) Read these symbols with the field meanings and branch or reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| interpolatedMeasuredTprPressurePa | Interpolated measured tpr pressure pa; pressure or stress in pascals, with the sign convention described above. | number |
| localObservedSecantSlope | Slope of the local sampled segment, in response units per coordinate unit; use the knot convention described above. | number |
{
"input": {
"observedWellMatchedOutflowRatesM3Day": [
1,
2,
3
],
"observedRequiredBottomholePressuresPa": [
2,
4,
8
],
"queryOutflowRateM3Day": 2.5
},
"output": {
"interpolatedMeasuredTprPressurePa": 6,
"localObservedSecantSlope": 4
}
}Limitations and assumptions
The branch, units, observation conditions, and response interpretation must be independently matched. Linear interpolation does not justify extrapolation, supply a universal physical or grading law, or provide uncertainty bounds.
Missing required fields, unknown fields, wrong types, and violated calculation rules return input issues. Numeric values must be finite; nonfinite numeric outputs are rejected. Arrays must be dense, with no missing cells. Numeric lists allow at most 10000 entries, subject to smaller tool-specific bounds above.
Alternative or Complementary methods
For a related task, use Petroleum Nodal Analysis Inflow IPR Vogel Calculator: Vogel’s saturated inflow relation describes a quadratic rate curve under a specific solution-gas-drive branch. This calculator requires an independently established zero-bottomhole-pressure rate and reservoir pressure rather than fitting those parameters. For a complementary step, use Petroleum Water Viscosity Calculator: Fluid viscosity depends on temperature and on composition and pressure conditions. This water-viscosity tool interpolates a supplied matched temperature calibration, avoiding an assumed universal fluid correlation.
References
Similar or alternative tools
- Petroleum Nodal Analysis Inflow IPR Vogel Calculator
Vogel’s saturated inflow relation describes a quadratic rate curve under a specific solution-gas-drive branch. This calculator requires an independently established zero-bottomhole-pressure rate and reservoir pressure rather than fitting those parameters.
- Petroleum Water Viscosity Calculator
Fluid viscosity depends on temperature and on composition and pressure conditions. This water-viscosity tool interpolates a supplied matched temperature calibration, avoiding an assumed universal fluid correlation.