Petroleum Water Breakthrough Time Calculator
Route actual cumulative flood injection history to independently established breakthrough-volume criterion, no constant rate, assumed shock saturation or operation deadline. Caller independently verifies units, applicability and matching conditions; no operational recipe, safety certification, causal efficacy or legal/resource classification is inferred.
Description
A breakthrough-volume criterion can be compared with a measured cumulative flood-injection history.
A breakthrough-volume criterion can be compared with a measured cumulative flood-injection history.1
This tool locates all observed volume-criterion times rather than assuming a constant injection rate or a shock saturation.
When to use Petroleum Water Breakthrough Time Calculator
Use this tool when you need to locate all observed criterion crossings on a matched measurement branch. Prepare completed matched measurements, SI or explicitly stated oilfield units, and independent evidence for the selected branch or calibration.
How to use Petroleum Water Breakthrough Time 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 observedFloodTimesDays, observedCumulativeInjectedWaterM3, callerIndependentlyEstablishedBreakthroughInjectedM3, following the field table and calculation rules below, then run the tool.
- Read observedBreakthroughVolumeCrossingDays. 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 |
|---|---|---|---|
| observedFloodTimesDays | Observed flood times days | list of number | Required |
| observedCumulativeInjectedWaterM3 | Observed cumulative injected water m3 | list of number | Required |
| callerIndependentlyEstablishedBreakthroughInjectedM3 | Caller independently established breakthrough injected m3 | number | Required |
Require nonnegative time samples, nonnegative nondecreasing cumulative injection volumes, and a nonnegative independently established criterion in m³. Apply the all-crossings helper to the recorded time/volume branch; no crossing yields an empty list, and exact-criterion plateaus retain sampled times.
Require at least two nonempty aligned finite coordinate/response samples with coordinates strictly increasing. Record every exact sample hit and interpolate adjacent strict sign changes around the criterion; preserve coordinate order and remove adjacent duplicate crossings. No crossing returns an empty list, and an exact-level plateau retains its sampled coordinates. Responses need not be monotone unless the particular tool additionally requires it. No unique preferred crossing is selected.
crossing=x_i+(x_(i+1)−x_i)×(criterion−y_i)/(y_(i+1)−y_i) for strict sign changes Read these symbols with the field meanings and branch or reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| observedBreakthroughVolumeCrossingDays | Observed breakthrough volume crossing days | list of number |
{
"input": {
"observedFloodTimesDays": [
0,
1,
3
],
"observedCumulativeInjectedWaterM3": [
0,
10,
30
],
"callerIndependentlyEstablishedBreakthroughInjectedM3": 20
},
"output": {
"observedBreakthroughVolumeCrossingDays": [
2
]
}
}Limitations and assumptions
The criterion, phase or indicator identity, and observation regime are independently established inputs. A recorded crossing does not prescribe a test, establish an operating limit, or identify a unique physical transition beyond this measured branch.
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 Buckley Leverett Velocity Calculator: Buckley–Leverett characteristic speed uses the derivative of fractional flow with respect to saturation scaled by Darcy flux over porosity. This calculator returns adjacent discrete characteristic speeds rather than choosing a shock or predicting breakthrough automatically. For a complementary step, use Petroleum Coning Critical Rate Water Calculator: Observed water-coning response can be compared with a supplied unwanted-phase criterion across completed rate trials. This tool finds criterion-rate crossings in those records rather than assigning a safe or predictive critical production rate.
References
Similar or alternative tools
- Petroleum Buckley Leverett Velocity Calculator
Buckley–Leverett characteristic speed uses the derivative of fractional flow with respect to saturation scaled by Darcy flux over porosity. This calculator returns adjacent discrete characteristic speeds rather than choosing a shock or predicting breakthrough automatically.
- Petroleum Coning Critical Rate Water Calculator
Observed water-coning response can be compared with a supplied unwanted-phase criterion across completed rate trials. This tool finds criterion-rate crossings in those records rather than assigning a safe or predictive critical production rate.