AGAINST
Dead-leg geometry — fundamental mechanism
Dead-leg resonates at ~356 Hz. The branch acts as narrow bandpass filter. The peak seems to be rock-solid across all 12 test conditions regardless of temperature, load, or which blower is running. A machine-driven peak would shift — this does not.
NEW · KEY FINDING
Two-stage amplification — quantified
Sensor sits at closed end of ½" NB tapping off the main dead-leg branch:
P_sensor = P_main × 2 × Q_branch × 2 × Q_tap
Stage 1 coupling (main pipe → dead-leg): ×2
Q_branch practical: 5–30 (central estimate 12)
Stage 2 coupling (dead-leg → ½" tapping): ×2
Q_tap if ½" tapping at λ/4: additional 5–8×
Conservative total: ≥24×
Data-implied total: ~50×
Area ratio main pipe / ½" tapping: 2448:1
True main pipe pulsation at 356 Hz: 0.3–0.6 psi
NEW · REFINED
Two-rotor discharge geometry — frequency-selective modal excitation
The GL720L-2 has two rotors, upper and lower, each with two lobes — giving two discharge locations at approximately 180° separation around the casing circumference. The rotors are geared 90° apart, so their discharge events are anti-phase at the LPF and odd harmonics.
At LPF (59 Hz) and odd harmonics: two anti-phase sources at 180° separation → breathing mode (0,1) cancels, spinning mode (1,1) reinforced. Single sensor reading at these frequencies is circumferentially position-dependent and unreliable.
At even harmonics (118, 237, 356 Hz…): sources move toward in-phase → breathing mode reinforced, spinning mode suppressed. Circumferentially uniform — single sensor more representative.
356 Hz ≈ 6×LPF (even harmonic) → breathing mode preferentially excited by the blower at this frequency. Wood Group's symmetry argument has partial validity at 356 Hz specifically — but see rebuttal.
NEW · DECISIVE
Spinning mode defence falsified by Wood Group's own data
Even if the breathing mode is driven at 356 Hz (even harmonic), a spinning mode contribution would produce sidebands. More importantly: if any propagating transverse mode were the dominant mechanism at PdA1/PdA2, the mode pattern rotating in the main pipe would amplitude-modulate the signal at the dead-leg junction, producing sidebands at:
356 ± 14.8 Hz (shaft) or 356 ± 59.3 Hz (LPF)
PdA1 and PdA2 show a single clean peak and do not appear to show sidebands. This rules out any propagating transverse mode as the dominant mechanism. The only mechanism consistent with a clean single peak at a fixed frequency is a local fixed-geometry resonance — the dead-leg branch.
AGAINST
Plane wave cut-on — frequency-dependent validity
356 Hz is above main pipe cut-on of 262–283 Hz. At odd harmonics (59, 178, 296 Hz) the spinning mode dominates → single sensor is particularly unreliable — reading depends on unknown circumferential position of sensor relative to mode orientation.
At even harmonics including 356 Hz, breathing mode is more symmetric → single sensor is less unreliable — but amplitude is only ~0.3–0.6 psi in the main pipe regardless of mode shape.
In either case the 9–18 psi reading cannot be attributed to main pipe pulsation at 356 Hz regardless of modal structure.
AGAINST
Amplitude evidence — independent confirmation
PdA2 reads 15–18 psi at 356 Hz. PdA3 reads ~0.3 psi at 356 Hz at blower discharge. Factor ~50× higher downstream than at source — no propagation mechanism explains this. Only resonant amplification is consistent. PdB1 reads 4.29 psi at 59 Hz — the blower's true dominant output.
AGAINST
Peak Hold averaging — systematic overstatement
PSA cycle temperature sweeps resonance frequency ~18 Hz during each cycle. Peak Hold Max captures maximum at each bin independently — artificially broadening and elevating a sweeping resonance. True cycle-averaged RMS level significantly lower than reported.
AGAINST
PdB1 & PdA3 contradict PdA1 & PdA2 completely
Both blower discharge sensors show LPF at 59 Hz dominant. Neither shows significant content at 356 Hz. The dead-leg sensors and discharge sensors tell diametrically opposite stories. The trustworthy sensors (discharge) are consistent; the dead-leg sensors are contaminated.
FOR
Real pulsation at 356 Hz does exist
Dead-leg resonance requires real main pipe excitation at 356 Hz. The branch confirms 356 Hz exists in the main pipe at approximately 0.3–0.6 psi. This is real, present, and machine-generated — just amplified ~50× by the installation.
FOR
API 618 accepts single sensor measurements
Standard industry practice does not require spatial averaging. Wood Group are following normal methodology for this class of measurement campaign.
FOR
Within branch the field IS plane wave
½" NB branch cut-on well above 1000 Hz. At 356 Hz the branch interior is plane wave. Sensor accurately measures branch tip pressure. Error is in interpretation, not instrument accuracy.
FOR
356 Hz is an even harmonic — breathing mode driven
With two rotors at 180° separation and anti-phase timing, even harmonics (including 6×LPF ≈ 356 Hz) produce in-phase discharge events → breathing mode (0,1) is preferentially excited → circumferentially uniform pressure → single sensor is more representative at this specific frequency. The symmetry argument has some technical validity at 356 Hz.
FOR
Consistency across 12 conditions
All 12 test conditions show same dominant frequency. Consistent result is not random measurement error — it demonstrates a systematic physical phenomenon.
REBUTTAL
Conceding 356 Hz exists ≠ conceding 356 Hz dominates
The branch is a bandpass filter with gain ~50 at 356 Hz and gain ~0 at all other frequencies. It cannot tell you whether 356 Hz is more or less severe than the LPF at 59 Hz. The filter creates an apparent dominance that does not exist in the main pipe.
REBUTTAL
API 618 assumes main pipe wall sensor
No standard endorses using dead-leg branch sensors as proxies for main pipe pulsation. The standard practice argument does not apply to this installation geometry regardless of modal uniformity.
REBUTTAL
Breathing mode at 356 Hz — but amplitude is still only ~0.3–0.6 psi
Even if the assertion that that the breathing mode is driven at 356 Hz (even harmonic), making the single sensor more representative at that frequency — the true main pipe pulsation amplitude at 356 Hz is still only ~0.3–0.6 psi. A circumferentially uniform reading of 0.3–0.6 psi does not justify a dampener. The amplitude argument is decisive regardless of modal structure.
REBUTTAL
No sidebands — modal arguments are moot at PdA1/PdA2
Whether spinning or breathing modes are driven in the main pipe is irrelevant to PdA1/PdA2 — both sensors show a clean single peak with no sidebands, confirming the dominant mechanism is fixed-geometry dead-leg resonance, not any propagating transverse mode from the main pipe. The modal discussion applies only to direct main pipe wall sensors such as PdA3.
REBUTTAL
Consistency proves geometry — not machine
Fixed resonance = fixed frequency across all temperatures and loads. A machine-driven frequency would shift slightly with conditions. The absolute consistency of 356 Hz is the signature of a fixed-geometry resonator — the dead-leg — not of any modal excitation from the blower.