Make the inference visible before trusting it
Instantaneous phase can reveal event continuity without being dominated by amplitude, but filtering, bandwidth, noise and phase wrapping can also draw convincing boundaries that no buried feature created.
A seismic attribute is a quantity derived from recorded or processed seismic data to highlight a particular signal property. Instantaneous phase comes from the analytic, or complex, trace and shows the phase angle through time. Because it is normalised by the trace envelope, it can make weak and strong events look similarly visible. That helps an archaeologist follow subtle continuity, but it also lets low-energy noise and processing artefacts imitate crisp edges.
Frame the claimROUTE 02 · CHAPTERS 4–6
Work the evidenceROUTE 03 · CHAPTERS 7–9
Test transferROUTE 04 · CHAPTERS 10–12
Audit and continue
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Chapter contents
01 · Frame the claim
02 · Work the evidence
03 · Test transfer
1. Begin with the archaeological boundary you expect
State whether the target is a wall face, trench margin, floor, cavity roof or sediment contact, and predict its orientation, depth and seismic contrast. Attribute analysis should test a physical expectation, not search an unlimited colour palette for attractive shapes. Record what the raw traces ought to contain if the feature is real and which alternative structures could create the same response.
2. Build the analytic trace from a documented signal
The recorded trace is treated as the real component of a complex signal; a quadrature component is commonly produced with a Hilbert transform. Instantaneous amplitude is the envelope, while instantaneous phase is the angle between the components. These quantities inherit the data’s sampling, bandwidth, deconvolution and phase character. They are derived views, not new independent measurements.
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3. Understand what phase removes—and what it does not
Instantaneous phase deemphasises absolute amplitude, so a continuous event can remain visible where coupling or reflection strength changes. Yet phase becomes unstable when the envelope approaches zero, and every sample still depends on the filtered waveform. A phase image cannot be called amplitude-free in the broader evidential sense: low signal-to-noise zones, wavelet changes and interference continue to shape it.
| Quantity | What it highlights | Main caution |
|---|---|---|
| Envelope | Local signal magnitude | Gain and coupling affect it |
| Instantaneous phase | Waveform position and continuity | Unstable at low envelope |
| Instantaneous frequency | Local phase-rate change | Sensitive to noise and unwrapping |
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4. Read edges as signal transitions, not object outlines
A constant-phase band may follow a reflector, while a sharp phase change may mark interference, termination or a different waveform. The coloured edge is not automatically the edge of a wall. Compare the attribute with wiggle traces, envelope, frequency content and expected travel-time geometry. Archaeological identification requires continuity across lines and support from acquisition geometry or another method.
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Band-pass choices can move zero crossings; automatic gain can promote weak noise; migration can focus energy; muting can introduce abrupt boundaries; phase wrapping creates colour jumps at the chosen display interval. Surface waves, multiples and out-of-plane arrivals can also remain coherent. Recalculate attributes across reasonable preprocessing choices and mark any boundary that moves, appears only after one filter or follows acquisition footprints.
| False-edge source | Visual clue | Required test |
|---|---|---|
| Mute boundary | Edge follows processing slope | Vary or remove mute |
| Band-pass choice | Edge shifts with corners | Frequency sensitivity grid |
| Phase wrapping | Repeated colour discontinuity | Inspect unwrapped phase and traces |
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6. Worked example: a suspected ditch beside a stone wall
A profile shows a faint break beside a strong shallow reflector. Instantaneous phase produces a crisp vertical colour boundary that looks like a ditch edge. On raw gathers, the boundary begins where a ground-roll mute changes slope. A gentler mute and an alternative band-pass shift the phase edge by two metres, while the stone-wall reflection remains stable. A resistivity line supports the wall but not the ditch. The defensible map retains the wall and labels the second boundary as a processing-sensitive anomaly.
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7. Use a small attribute panel with independent checks
Choose attributes that answer distinct questions: envelope for local energy, phase for continuity, frequency for waveform change and coherence for lateral similarity. Highly correlated displays are not independent confirmation. Validate a candidate on adjacent lines, forward models, known test features or withheld profiles. Prefer the simplest attribute set that distinguishes the archaeological hypothesis from named alternatives.
| Evidence view | Question | Independence limit |
|---|---|---|
| Raw trace | Is an event actually recorded? | Still contains noise |
| Attribute panel | Which property changes? | Same waveform reused |
| Other method | Does a different physics agree? | Resolution and footprint differ |
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8. Changed-context transfer check: ground-penetrating radar
Move from shallow seismic reflection to ground-penetrating radar. Analytic-signal attributes can still show envelope, phase and frequency, and false edges still arise near low amplitude or processing boundaries. The changed physics adds antenna ringing, electromagnetic velocity, attenuation and polarity conventions. A useful transfer preserves the audit logic while recalibrating what phase continuity means for the instrument and material contrast.
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Instantaneous phase does not reveal material type, and a sharp phase boundary does not guarantee a sharp geological boundary. Attribute displays can improve interpretation without increasing true resolution. Colour scales influence perception, while a two-dimensional line can misplace three-dimensional energy. A machine classifier trained on attributes inherits every preprocessing choice. Excavation or independent geophysics remains necessary for identity.
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10. Audit the route from waveform to mapped edge
Archive raw gathers, geometry, instrument response, coupling notes, preprocessing order, filter corners, wavelet and polarity conventions, Hilbert implementation, attribute parameters and colour scales. Export the same section with several defensible choices and overlay candidate edges on raw data. Record which features persist across lines and methods. The audit should let another analyst reproduce both the boundary and its uncertainty.
| Audit stage | Retain | Failure signal |
|---|---|---|
| Acquisition | Geometry and coupling | Only final section survives |
| Processing | Ordered parameters and versions | Opaque preset |
| Interpretation | Edge overlays and alternatives | Colour image treated as proof |
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Why use instantaneous phase? It can make event continuity easier to follow when amplitude varies. Is it independent of amplitude? The phase formula is normalised, but low envelope and processing still matter. Does a colour jump equal a wall edge? No. Should many attributes be stacked for confidence? Only when they contribute genuinely different evidence. Can attributes repair poor acquisition? No; they reorganise the signal that was recorded.
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12. The gold standard keeps the waveform beneath the colour
A credible attribute interpretation begins with a physical target and remains traceable to raw seismic evidence. It shows why a derived edge is stable across reasonable filters, lines and independent checks, and it labels low-energy or processing-sensitive zones honestly. The gold standard uses phase to guide attention, not to turn display contrast into archaeological certainty.
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Continue through verified routes
Core route
- Archaeology: subject root and specialist index
- The Gold Standard of Education: learning transfers into life
- The Gold Standard: eduKate Singapore
- How X Works: systems and first-principles hub
Specialist route
- Seismic reflection, velocity pull-up and migration artefacts
- Diffraction imaging, small-object detection and migration aperture
- Seismic refraction, velocity inversion and layer ambiguity
- Full-waveform inversion, cycle skipping and starting-model dependence
- Seismic attenuation tomography, amplitude decay and coupling bias
