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The Gold Standard of Archaeology | Ambient-Noise Tomography, Virtual Sources and Illumination Gaps

Excavated archaeological trench profile at An Son in Vietnam, showing multiple stratigraphic layers, an exposed vertical section and a measuring tape for scale.
THE GOLD STANDARD · ARCHAEOLOGY

Make the inference visible before trusting it

Ambient vibrations can be correlated into useful inter-station responses, but a virtual source is an inference from the noise field, not a controlled pulse with uniform coverage.

Ambient-noise tomography uses continuous ground vibration rather than deliberately fired seismic sources. Cross-correlation between receivers can recover waveforms that approximate parts of the response between them, allowing dispersion or travel-time measurements and a velocity inversion. For archaeological targets, the attraction is quiet, repeatable acquisition. The central risk is that traffic, machinery, wind and other sources illuminate the array unevenly and change through time.

ROUTE 01 · CHAPTERS 1–3
Frame the claim
ROUTE 02 · CHAPTERS 4–6
Work the evidence
ROUTE 03 · CHAPTERS 7–9
Test transfer
ROUTE 04 · CHAPTERS 10–12
Audit and continue

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CHAPTER 1 OF 12 · FRAME THE CLAIM

1. Begin with a resolvable archaeological contrast

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State the target size, depth and physical reason for a velocity contrast. Disturbed fill, masonry, voided ground and moisture change can affect surface-wave dispersion, but several materials can produce similar values. Compare the expected wavelength range with the target dimensions before deploying sensors. Ambient noise is not a universal substitute for an active survey; it is useful only when the available frequencies and geometry can resolve the question.

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CHAPTER 2 OF 12 · FRAME THE CLAIM

2. Understand what the virtual source means

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Cross-correlating simultaneous records at two receivers can retrieve a response resembling waves travelling between them under suitable assumptions about the noise field and recording duration. One receiver is described as a virtual source, but it did not emit a known pulse. The recovered function depends on the distribution, direction, spectrum and stability of real noise sources. Treat the virtual-source language as a processing interpretation, not proof of complete Green’s-function recovery.

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CHAPTER 3 OF 12 · FRAME THE CLAIM

3. Diagnose directionality and source imbalance

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Roads, generators, visitors and construction can dominate one azimuth or time window. A one-sided correlation, asymmetric causal and acausal arrivals, or strong day–night change can reveal unequal illumination. Plot beam direction, spectrograms and correlation asymmetry by time. Long recording can improve convergence but cannot guarantee an isotropic field when one persistent source controls the band of interest.

Noise patternDiagnosticInterpretive risk
Balanced arrivalsSimilar causal and acausal energyStill frequency-limited
One-sided arrivalsPersistent source directionBiased virtual response
Time-variable bandDay–night spectral shiftUnstable dispersion
A practical check for chapter 3.

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CHAPTER 4 OF 12 · WORK THE EVIDENCE

4. Extract dispersion only where the signal supports it

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Surface waves of different periods sample different depths. Measure phase or group velocity across frequency with explicit signal-to-noise and uncertainty criteria. Avoid tracing a smooth dispersion curve through gaps simply because the software permits it. High-frequency near-surface work is vulnerable to short-lived local sources, sensor coupling and aliasing. Show representative correlation functions and rejected measurements, not only the final colourful section.

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CHAPTER 5 OF 12 · WORK THE EVIDENCE

5. Map illumination, path density and inversion smoothing

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Each accepted station pair contributes information along a sensitivity region, not an infinitely thin straight ray. Dense station spacing can produce many pairs while leaving some directions or boundary cells weakly constrained. Display path and azimuth coverage, point-spread or checkerboard tests, regularisation and posterior or bootstrap uncertainty. Grid size is a display choice; it is not evidence that every grid cell is independently resolved.

Coverage elementShowFailure signal
Station pairsPath and azimuth densityMany parallel paths only
FrequencyUsable period rangeDepth inferred beyond wavelength
ResolutionRecovery or point spreadCell size treated as resolution
A practical check for chapter 5.

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CHAPTER 6 OF 12 · WORK THE EVIDENCE

6. Worked example: a buried foundation beside a service road

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A courtyard array records two nights of vibration. The first velocity map shows a narrow high-velocity band aligned with a suspected buried wall. Inspection reveals that most usable correlations are parallel to the adjacent service road, and a checkerboard test smears compact anomalies along the same direction. Adding weekend data and a second line of sensors improves cross-azimuth coverage; the band persists but is broader than the trench plan. The defensible result is a resolved stiff zone consistent with masonry, not an exact wall outline.

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CHAPTER 7 OF 12 · TEST TRANSFER

7. Test time windows and processing choices

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Repeat the workflow across day, night and independent recording blocks. Vary temporal normalisation, spectral whitening, frequency bands and station exclusions within defensible limits. A genuine structural feature should be reasonably stable, while source artefacts often track traffic schedules or one sensor. Processing choices can suppress transients and amplitude information; document them so stability is evidence rather than an unreported tuning result.

Sensitivity checkQuestionWarning
Independent stacksDoes the feature repeat?Only one time block works
Processing variantsIs it parameter-stable?Anomaly follows whitening choice
Station deletionDoes one sensor dominate?Feature disappears
A practical check for chapter 7.

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CHAPTER 8 OF 12 · TEST TRANSFER

8. Changed-context transfer check: imaging a possible chamber

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Move from shallow masonry to a possible subsurface chamber. The transferable method checks wavelength, noise direction, correlation recovery, coverage and resolution. The changed target may be deeper and smaller relative to wavelength, and a void can produce complex scattering rather than a simple low-velocity body. Combine passive results with radar, resistivity, gravity or active seismic evidence before calling a closed anomaly a chamber.

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CHAPTER 9 OF 12 · TEST TRANSFER

9. Know the limits and common misconceptions

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Cross-correlation does not create information absent from the recorded wavefield. More hours do not repair the wrong frequency band, poor coupling or a permanently one-sided source distribution. A virtual source is not equivalent to a calibrated hammer. Smooth inversion can connect separate anomalies, and boundary structure is usually less constrained. Cultural noise can be useful signal, but its changing operation must be measured rather than assumed away.

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CHAPTER 10 OF 12 · AUDIT AND CONTINUE

10. Audit the passive chain from vibration to interpretation

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Archive continuous raw data, clock checks, sensor orientation and coupling, source-environment logs, preprocessing, correlation windows, stacking rules, rejected pairs, dispersion picks, sensitivity kernels, regularisation and recovery tests. Publish maps of azimuth and temporal stability. Refit after removing dominant source periods and compare with an independent method. The archaeological label should be attached only after the velocity inference survives these checks.

Audit layerRetainFailure signal
AcquisitionRaw streams and clocksOnly stacks survive
CorrelationWindows and convergenceVirtual source assumed exact
InversionCoverage and regularisationMap without resolution tests
A practical check for chapter 10.

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CHAPTER 11 OF 12 · AUDIT AND CONTINUE

11. Frequently asked questions

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Does ambient noise mean random noise? Not necessarily; it can include persistent and directional sources. Is a virtual source a real source? No, it is a response inferred from correlations. Does a dense array guarantee resolution? No; wavelength and illumination still control it. Can traffic help? Yes, if its directionality and frequency content are characterised. How long should recording last? Long enough for stable measurements in the relevant band, demonstrated by convergence rather than a universal duration.

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CHAPTER 12 OF 12 · AUDIT AND CONTINUE

12. The gold standard makes missing illumination visible

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A credible ambient-noise study defines a physical target, demonstrates recoverable frequencies, measures source directionality and shows where the array has sensitivity. It treats correlation, dispersion and inversion as separate inferential steps. Passive acquisition becomes powerful when quiet fieldwork is matched by loud methodological transparency: the strongest map is one that shows both the anomaly and the places the wavefield could not reliably see.

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