Petroleum Nodal Analysis Inflow IPR Vogel Calculator
Named saturated Vogel IPR q/qmax=1−.2p/pr−.8(p/pr)², explicit independent qmax/branch; not linearPI, general multiphase inflow or production recommendation. Caller independently verifies units, applicability and matching conditions; no operational recipe, safety certification, causal efficacy or legal/resource classification is inferred.
Description
Vogel’s saturated inflow relation describes a quadratic rate curve under a specific solution-gas-drive branch.
Vogel’s saturated inflow relation describes a quadratic rate curve under a specific solution-gas-drive branch.1
This calculator requires an independently established zero-bottomhole-pressure rate and reservoir pressure rather than fitting those parameters.
When to use Petroleum Nodal Analysis Inflow IPR Vogel Calculator
Use this tool when you need to calculate the stated measurement summary or conditional model from matched observations. 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 Inflow IPR Vogel 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 callerIndependentlyEstablishedZeroBottomholeRateM3Day, observedReservoirPressurePa, observedBottomholePressuresPa, callerSaturatedVogelBranchVerified, following the field table and calculation rules below, then run the tool.
- Read vogelModeledRatesM3Day. 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 |
|---|---|---|---|
| callerIndependentlyEstablishedZeroBottomholeRateM3Day | Caller independently established zero bottomhole rate m3 day; volume rate in cubic metres per day. | number | Required |
| observedReservoirPressurePa | Observed reservoir pressure pa; pressure or stress in pascals, with the sign convention described above. | number | Required |
| observedBottomholePressuresPa | Observed bottomhole pressures pa; pressure or stress in pascals, with the sign convention described above. | list of number | Required |
| callerSaturatedVogelBranchVerified | Caller saturated vogel branch verified | boolean | Required |
Require positive reservoir pressure, nonnegative qmax and bottomhole pressures no greater than reservoir pressure, and callerSaturatedVogelBranchVerified=true. For each pressure ratio x=pwf/pr, return qmax(1−0.2x−0.8x²). Empty query-pressure lists are allowed. Endpoints return qmax at zero pressure and zero at reservoir pressure.
q=qmax(1−0.2(pwf/pr)−0.8(pwf/pr)²) Read these symbols with the field meanings and branch or reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| vogelModeledRatesM3Day | Vogel modeled rates m3 day; volume rate in cubic metres per day. | list of number |
{
"input": {
"callerIndependentlyEstablishedZeroBottomholeRateM3Day": 100,
"observedReservoirPressurePa": 10,
"observedBottomholePressuresPa": [
0,
5,
10
],
"callerSaturatedVogelBranchVerified": true
},
"output": {
"vogelModeledRatesM3Day": [
100,
70,
0
]
}
}Limitations and assumptions
Measurements, unit conventions, branch identity, and model applicability must be independently established. The result does not infer a complete reservoir or flow model, operational settings, or a reserve classification.
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 Outflow TPR Calculator: Tubing outflow performance relates liquid rate to the bottomhole pressure required under matched conditions. This tool interpolates an observed outflow branch and its local slope rather than modeling multiphase lift or finding a nodal operating point. For a complementary step, use Petroleum Productivity Index From Buildup Calculator: A selected buildup pressure branch can be fitted against natural-log Horner coordinates to estimate a pressure intercept. This tool uses that intercept with prior flowing pressure and rate to calculate an apparent productivity index.
References
Similar or alternative tools
- Petroleum Nodal Analysis Outflow TPR Calculator
Tubing outflow performance relates liquid rate to the bottomhole pressure required under matched conditions. This tool interpolates an observed outflow branch and its local slope rather than modeling multiphase lift or finding a nodal operating point.
- Petroleum Productivity Index From Buildup Calculator
A selected buildup pressure branch can be fitted against natural-log Horner coordinates to estimate a pressure intercept. This tool uses that intercept with prior flowing pressure and rate to calculate an apparent productivity index.