Petroleum Water Influx Steady State Schilthuis Calculator
Named Schilthuis steady aquifer influx J∫(pi−p) dt over actual unequal-time boundary history, signed reversals retained; no generic lake inflow model or inferred aquiferPI. Caller independently verifies units, applicability and matching conditions; no operational recipe, safety certification, causal efficacy or legal/resource classification is inferred.
Description
Schilthuis steady aquifer influx integrates pressure deficit over time using a supplied aquifer productivity index.
Schilthuis steady aquifer influx integrates pressure deficit over time using a supplied aquifer productivity index.1
This tool uses the observed boundary-pressure history and retains negative contributions when boundary pressure exceeds the undepleted reference.
When to use Petroleum Water Influx Steady State Schilthuis 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 Water Influx Steady State Schilthuis 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 observedAquiferTimesDays, observedBoundaryPressurePa, callerUndepletedAquiferPressurePa, callerIndependentlyEstablishedAquiferPiM3DayPa, following the field table and calculation rules below, then run the tool.
- Read schilthuisSignedInfluxReservoirM3. 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 |
|---|---|---|---|
| observedAquiferTimesDays | Observed aquifer times days | list of number | Required |
| observedBoundaryPressurePa | Observed boundary pressure pa; pressure or stress in pascals, with the sign convention described above. | list of number | Required |
| callerUndepletedAquiferPressurePa | Caller undepleted aquifer pressure pa; pressure or stress in pascals, with the sign convention described above. | number | Required |
| callerIndependentlyEstablishedAquiferPiM3DayPa | Caller independently established aquifer pi m3 day pa; pressure or stress in pascals, with the sign convention described above. | number | Required |
Require nonnegative strictly increasing times in days with at least two aligned positive boundary pressures, positive reference pressure, and positive PI in m³/day/Pa. Subtract boundary pressure from reference at each sample, integrate by the trapezoidal rule over the recorded interval, and multiply by PI. No influx before the first time is added.
influxM3=PI×ΣΔt_i×(deficit_i+deficit_(i+1))/2 Read these symbols with the field meanings and branch or reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| schilthuisSignedInfluxReservoirM3 | Schilthuis signed influx reservoir m3 | number |
{
"input": {
"observedAquiferTimesDays": [
0,
1,
3
],
"observedBoundaryPressurePa": [
10,
8,
8
],
"callerUndepletedAquiferPressurePa": 10,
"callerIndependentlyEstablishedAquiferPiM3DayPa": 2
},
"output": {
"schilthuisSignedInfluxReservoirM3": 10
}
}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 Water Influx Unsteady State Van Everdingen Hurst Calculator: Van Everdingen–Hurst superposition relates a pressure-step history to a verified aquifer unit-step response. This tool sums responses from a supplied kernel and normalization instead of solving or assuming the aquifer response function. For a complementary step, use Petroleum Aquifer Productivity Index Calculator: Aquifer productivity can be summarized by fitting interval-average inflow rate against a matched pressure margin. This tool derives rates from supplied interval volumes and durations, retaining a free intercept for unexplained inflow.
References
Similar or alternative tools
- Petroleum Water Influx Unsteady State Van Everdingen Hurst Calculator
Van Everdingen–Hurst superposition relates a pressure-step history to a verified aquifer unit-step response. This tool sums responses from a supplied kernel and normalization instead of solving or assuming the aquifer response function.
- Petroleum Aquifer Productivity Index Calculator
Aquifer productivity can be summarized by fitting interval-average inflow rate against a matched pressure margin. This tool derives rates from supplied interval volumes and durations, retaining a free intercept for unexplained inflow.