Make the inference visible before trusting it
Crosshole seismic tomography can resolve velocity contrasts between boreholes, but ray geometry, regularisation and geology decide what the reconstructed image can support.
Crosshole seismic tomography places a source in one borehole and receivers in another, measuring travel times along many paths through the ground between them. An inversion estimates a velocity field that could explain those arrivals. The result can illuminate walls, voids, weathered zones or stratigraphic changes, yet it is not a direct photograph. Borehole geometry leaves uneven coverage, finite bandwidth limits resolution and regularisation spreads information into smooth or streaked patterns.
Frame the claimROUTE 02 · CHAPTERS 4–6
Work the evidenceROUTE 03 · CHAPTERS 7–9
Test transferROUTE 04 · CHAPTERS 10–12
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Chapter contents
01 · Frame the claim
02 · Work the evidence
03 · Test transfer
Define the target in physical terms before designing the survey. A void, saturated fill, masonry body or fractured zone matters only if it produces a velocity contrast large and extensive enough to affect the measured wavefield. State the expected depth, thickness, orientation and competing geological explanations. Crosshole tomography is strongest between accessible boreholes; it says less outside their connecting volume. If the archaeological question concerns a very shallow isolated artefact, another method may be more appropriate. A precise target model guides source frequency, borehole spacing, receiver interval and the independent evidence needed for interpretation.
The inversion assumes known source and receiver coordinates. Boreholes can deviate from vertical, collars can be surveyed incorrectly and trigger delays can shift every pick. Measure borehole trajectories where possible, synchronise clocks, test repeatability and document source depth and receiver coupling. A small coordinate error can create coherent travel-time residuals that look geological. Reciprocal shots, with source and receiver sides exchanged, help reveal timing and geometry problems. Preserve raw waveforms rather than only picked arrivals, because later review may change the phase or first break judged to be the correct pick.
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Each source–receiver pair contributes a path through the model. Dense sampling does not guarantee uniform information: many paths can overlap near boreholes while the centre, corners or shallow edge remain weakly sampled. Plot ray density, angular coverage and sensitivity, not merely a colourful velocity section. Features are easier to constrain when crossed by rays from several directions. With two near-parallel boreholes, most paths have similar orientations, so elongated anomalies can be poorly resolved. Coverage is a property of geometry and physics, not a decorative quality score added after inversion.
| Coverage property | What it supports | Warning |
|---|---|---|
| Ray density | Amount of sampled path | Many parallel rays can still be weak |
| Crossing angle | Directional resolution | One dominant angle causes smearing |
| Model edge | Boundary information | Often regularisation-driven |
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First arrivals may be weak, dispersive, clipped or preceded by noise. A single precise-looking time can hide ambiguity of several samples. Use consistent picking rules, examine frequency content and assign uncertainty or weights based on signal quality. Automated picks should be checked against representative waveforms and failure cases. Removing difficult traces can improve residuals while selectively erasing paths through the target. Report exclusions and test whether the anomaly persists under plausible repicks. Later arrivals contain information too, but a travel-time inversion based on first arrivals should not silently claim to use the full waveform.
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Tomography seeks a velocity model whose predicted travel times resemble observations. Many models can fit nearly equally well, especially where coverage is sparse. Regularisation chooses among them by favouring smoothness, small departures from a starting model or another prior structure. Strong smoothing broadens anomalies and joins separate bodies; weak smoothing can amplify noise into spots and streaks. The colour scale therefore displays a regularised estimate, not uniquely measured material boundaries. Show the starting model, cell size, objective function, regularisation strength and data residuals together.
| Inversion choice | Likely effect | Check |
|---|---|---|
| Strong smoothing | Broad connected anomalies | Target-shaped recovery |
| Weak smoothing | Spots and streaks | Noise sensitivity |
| Fine cells | Detailed display | Compare with wavelength and coverage |
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6. Worked example: two walls or one broad anomaly
Two masonry walls, each 0.8 metres thick and separated by 1.2 metres of soil, lie between boreholes 12 metres apart. Synthetic travel times are generated, then realistic picking noise is added. A strongly smoothed inversion returns one broad high-velocity zone because the separation is smaller than the effective resolving power of the dominant rays. A weaker penalty produces two peaks but also streaks near the boreholes. Checkerboard and spike tests show that two targets can be recovered only in the central depth range with crossing rays. The defensible conclusion is a high-velocity zone consistent with masonry, with the number of walls unresolved until excavation or denser geometry supplies evidence.
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Smearing spreads an anomaly along directions that the data constrain poorly. In straight-ray inversions it often follows dominant ray paths; in refracting media, incorrect path assumptions can shift or bend the spread. Compare resolution matrices, point-spread tests, alternative parameterisations and synthetic recovery experiments shaped like the expected target. A narrow reconstructed stripe is not proof of a narrow wall if a point anomaly produces the same stripe under the survey geometry. Discuss lateral and vertical resolving power separately and identify edge regions where the model is controlled mainly by regularisation.
| Diagnostic | Question | Limit |
|---|---|---|
| Spike test | How does a point spread? | Not target-shaped |
| Checkerboard | Can alternating blocks recover? | Pattern may favour geometry |
| Resolution matrix | Which combinations are constrained? | Can be expensive or approximate |
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8. Changed-context transfer check: a suspected burial chamber
Suppose low velocity between boreholes beside a tomb is interpreted as an air-filled chamber. Rays skirt a real low-velocity zone, and straight-ray inversion smears the anomaly upward. A curved-ray model moves the centre deeper, while attenuation and ground-penetrating radar suggest wet disturbed fill rather than air. The transferable method checks target physics, path assumptions, coverage and independent evidence. The archaeological context adds ethical limits on drilling and excavation. The correct report may narrow possible locations without naming a chamber, preserving uncertainty while still improving the next non-invasive survey decision.
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A low velocity does not uniquely identify a void, and high velocity does not uniquely identify masonry. Moisture, porosity, compaction, weathering and lithology can generate similar contrasts. Smaller cells do not create finer resolution when wavelengths and ray geometry do not support it. Low travel-time residuals can coexist with a wrong model because the inverse problem is non-unique. Boreholes disturb ground and limit where the method can be used. Two-dimensional inversion can misplace out-of-plane structures. Treat sharp colour boundaries, isolated edge anomalies and untested labels with particular caution.
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10. Audit acquisition, inversion and archaeological interpretation
Archive raw seismograms, trigger tests, source and receiver coordinates, borehole deviation surveys, pick files with uncertainty, excluded traces and field notes. Retain the velocity starting model, mesh, ray tracer, damping and smoothing parameters, convergence history and software version. Publish coverage and recovery tests using the actual geometry. Re-run plausible pick sets, starting models and regularisation strengths, then distinguish stable anomaly location from unstable shape or amplitude. Link the final interpretation to borehole logs, excavation, reflection, refraction or electrical evidence without forcing all methods to agree.
| Audit layer | Retain | Failure signal |
|---|---|---|
| Acquisition | Raw waveforms and geometry | Only picks remain |
| Inversion | Mesh, priors and penalties | Colour image without parameters |
| Interpretation | Alternatives and corroboration | Velocity equated with material |
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Does every source–receiver pair follow a straight line? No; rays bend when velocity varies, and the modelling choice matters. What does a good residual mean? The model predicts travel times well, not that its geometry is unique. Can checkerboard tests prove resolution? They are useful but pattern-dependent; target-shaped tests are also needed. Why do anomalies blur near the edges? Paths and crossing angles are often poor there. Can tomography identify material directly? Usually it constrains velocity contrasts that must be interpreted with geology and archaeological context.
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12. The gold standard reports information and ignorance together
A credible tomogram is accompanied by its geometry, picks, coverage, regularisation and recovery tests. The analyst asks not only where velocity differs, but which aspects of the anomaly the data actually resolve. Stable position may coexist with uncertain thickness; a broad zone may contain multiple features; edge structure may be prior-driven. Crosshole tomography earns archaeological meaning when those limits remain visible and independent evidence tests the physical explanation.
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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
- Seismic refraction, velocity inversion and layer ambiguity
- Multichannel analysis of surface waves, dispersion curves and depth resolution
- Electrical resistivity tomography, inversion artefacts and depth ambiguity
- Magnetic gradiometry, background removal and feature validation
