Proof

The numbers, and their limits.

Tournament t001, 1500 held-out simulated two-hour drilling runs (557 with influx) on a 3,000 m well, alarm thresholds frozen at 2 % false flow checks per run on validation; ballooning never seen in training. The bar and the result are on the proof page.

What is measured

Kick detection volume (bbl)

See the tables below.

Response time (min)

See the tables below.

False flow checks per 100 rig-hours

See the tables below.

Ballooning misread rate

See the tables below.

Against the methods in use today

Same cases, same rules

Scored against, untouched

  • Pit-gain threshold
  • Delta-flow threshold
  • Trend rule
  • Connection flow-back fingerprinting
  • A lumped observer
  • A learned model

Thresholds set on validation data and frozen for every test, including the cases the engine never saw. The truth model differs from the engine's own.

The bar, set before the first run

Less mud gained at the alarm than flow-back fingerprinting and a lumped observer, at 1 false flow check per 100 rig-hours, beyond the interval.

Against flow-back fingerprinting: +5.9 bbl (90 % interval +3.4 to +7.2) and -1.5 min (-2.1 to -0.8) at detection. Against the lumped observer: +10.4 bbl (90 % interval +8.7 to +11.7) and +0.2 min (-0.3 to +0.7) at detection. Not better than both beyond the interval.

First proof

Four to six weeks: single-phase, water-based mud; a U-tube with pump, open flowline and pit; 2,000 scenarios with connections, ramps, ballooning and transfers; detection volume and response time at the frozen rate; truth from an independent second model.

Tournament t001

Detection at the same false-alarm rate

Influxes caughtGain at alarm, medianResponse, medianCaught by 2 bblFalse checks / 100 h
Annulus: signature fit on the U-tube99 %25.1 bbl7.2 min0 %1.01
Pit-gain threshold99 %24.5 bbl7.6 min0 %1.01
Delta-flow threshold95 %21.3 bbl8.2 min0 %0.90
Pit trend rule96 %25.7 bbl8.7 min0 %0.74
Connection flow-back fingerprint99 %19.2 bbl8.8 min0 %0.80
Lumped observer98 %14.3 bbl7.0 min0 %0.85
Learned model (GRU)97 %55.9 bbl10.6 min0 %0.53

Every method's threshold set on validation at 2 % false alarms per two-hour run (one false flow check per 100 rig-hours) and frozen. Gain at alarm: the simulated influx volume between its start and the first alarm.

Tournament t001

Look-alikes: alarms that would have been false

Ballooning (held out)Pit transferSensor faultInflux caught in a connection
Annulus: signature fit on the U-tube1 %1 %9 %99 %
Pit-gain threshold0 %15 %0 %99 %
Delta-flow threshold0 %0 %13 %95 %
Pit trend rule0 %11 %0 %95 %
Connection flow-back fingerprint0 %8 %4 %99 %
Lumped observer0 %7 %5 %97 %
Learned model (GRU)0 %0 %8 %96 %

Share of look-alike runs that raised an influx alarm. Ballooning: the held-out split, a class no method saw in training or validation.

Tournament t001

Against the bar: flow-back fingerprinting and the lumped observer

Gain at alarm90 % intervalResponse90 % interval
vs flow-back fingerprinting+5.9 bbl+3.4 to +7.2-1.5 min-2.1 to -0.8
vs the lumped observer+10.4 bbl+8.7 to +11.7+0.2 min-0.3 to +0.7

Median difference (Annulus minus baseline) on the test influxes, misses scored as the run's final gain and 120 minutes. Negative is better.

Straight talk

What is proven. What is not.

Proven, in simulation

  • Raises an alarm 1.5 minutes sooner than flow-back fingerprinting at the same false-flow-check rate (90 % interval 0.9–2.1 min; simulation, t001)
  • Pit transfers read as influx in 1 % of runs; pit-gain threshold 15 %, flow-back fingerprinting 8 %, lumped observer 7 %
  • Ballooning never seen in training read as influx in 1 % of held-out runs

Not proven

  • Against the bar: 5.9 bbl more gained at alarm than flow-back fingerprinting and 10.4 bbl more than the lumped observer, both beyond the interval
  • The lumped observer gains least before its alarm: 14 bbl against 25 bbl
  • The influx-rate interval covers 5 % of true rates, not 90 %
  • At three times the channel noise it catches 66 % of influxes; the baselines 97–99 %
  • Sensor faults read as influx in 9 % of runs; pit-gain threshold 0 %
  • No labelled public field kick exists; no gas kick, no oil-based mud, no managed-pressure drilling
Proof · Annulus