Underworld

“The descent to Avernus is easy … but to retrace the step and come out to the upper air, this is the task, this the labour.” — Virgil, Aeneid VI.126–129

Ambient · measured

The ground's own motion

Without a hammer the ground still moves: ocean swell felt as microseisms, wind, traffic, footsteps. It is what ambient-noise seismology listens to and what the radar claim says it reads. How much it moves near Giza, and at what frequencies, sets what either can see. Here it is measured, not assumed.

status · measured near Giza · used by the satellite simulation as the ground’s motion

Near Giza the ground moves by hundredths of a micrometre per second on its own

The nearest open broadband record is MedNet station KEG at Kottamya, 67 km east of Khafre: an STS-1 seismometer in a 7 m vault on a limestone hill. Twelve days of 1996, one in the middle of each month, three components, instrument response removed, turned into power spectra the way network operators do. Its microseismsmicroseism seismicThe ground’s constant hum from ocean swell, strongest between 0.1 and 0.3 Hz, felt everywhere on Earth as surface waves kilometres long. are the region’s, Giza’s included; above 1 Hz a quiet hill is a lower bound for a plateau at the edge of a city of twenty million.

0.049µm/smedian vertical ground velocity in the microseism band, 0.1–0.3 Hz10th–90th percentile 0.040–0.066
0.029µm/smedian at 1–3 Hz, by day 0.029, by night 0.028local time, UTC+2
3.5µm/sthe microseism band at the world’s noisiest stations, Peterson’s high-noise modelPeterson 1993, Table 4
141Hzthe lowest frequency whose half wavelength fits a 6 m chamber, where only nearby feet and machines make noiseRayleigh speed 1,691 m/s

A quiet site: well above the global floor, far below the noisiest stations

Fig. A1 · Vertical ground acceleration spectrum at Kottamya, 1996
Peterson high90th percentilemedian10th percentilePeterson low
0.1110-150-100period, sdB re 1 (m/s²)²/Hz

517 one-hour windows · the microseism peak near 3–5 s; above 2 Hz a day–night difference of a few dB, the mark of people

BandKottamya, median10th–90thPeterson lowhigh
0.05-0.1 Hz0.00470.0032–0.00980.00280.50
0.1-0.3 Hz0.0490.040–0.0660.0203.5
0.3-1.0 Hz0.0360.025–0.0590.00831.4
1.0-3.0 Hz0.0290.022–0.0380.000530.21
3.0-8.0 Hz0.0250.018–0.0360.000330.92

RMS vertical ground velocity in each band, µm/s, integrated from the spectra. Peterson’s low-noise model is a composite of the quietest stations on Earth, “unlikely to be duplicated at any single location”; his high-noise model is the average of the noisiest.

At Kottamya, 67 km east of Giza, the median vertical ground velocity is 0.049 um/s in the microseism band (0.1-0.3 Hz) and 0.029 um/s by day, 0.028 um/s by night at 1-3 Hz (1996, twelve days, instrument response removed). Peterson's global models bound the microseism band between 0.02 and 3.5 um/s.

m1_01_ambient_levels2026-09-27 · 200.3 s · commit d341330+datacode
stationMN.KEG
archivehttps://webservices.ingv.it/fdsnws
days1996-01-15, 1996-02-15, 1996-03-15, 1996-04-15, 1996-05-15, 1996-06-15, 1996-07-15, 1996-08-15, 1996-09-15, 1996-10-15, 1996-11-15, 1996-12-15
channelsBHZ, BHN, BHE (20 sps)
methodMcNamara & Buland (2004) via obspy PPSD, 1 h windows, 50% overlap
local timeUTC+2
bands hz0.05, 0.1, 0.1, 0.3, 0.3, 1, 1, 3, 3, 8
percentiles10, 50, 90
stationMN.KEG Kottamya, 29.9275 N 31.8292 E, 460 m, STS-1 at 7 m depth, open data at INGV
methodMcNamara & Buland (2004) power spectral densities via ObsPy PPSD
boundsPeterson (1993), USGS Open-File Report 93-322, Tables 3 and 4
environmentpython 3.11.15 · numpy 2.4.6 · numba 0.67.0 · threads 4 · cpus 4
source atd341330 (with local changes to the solver at run time)

Giza’s ground rings near 0.6 Hz, and the Great Pyramid near 2.3 Hz

An ambient-noise survey of Khufu’s pyramid, 37 points in its chambers, on its blocks and on the ground around it (ELGabry and others, Scientific Reports 16, 14032, 2026), found the pyramid’s fundamental frequency between 2.0 and 2.6 Hz, “with an average of ~ 2.3”, and “the average predominant frequency on the surrounding ground is about 0.60 Hz”. The survey reports spectral ratios, not absolute levels. We have found no open, absolute measurement of ambient motion on the plateau itself; the city’s traffic will raise it above Kottamya’s above about 1 Hz, by an amount still to be sourced.

The ground’s own waves are kilometres long where they are strong, and metres long only where they are local

Fig. A2 · Rayleigh wavelength in Giza limestone against frequency
wavelengthclaimed depth, 648 mclaimed shafts, 10 mbench chamber, 6 m
0.1110100101001,00010,000frequency, Hzmetres

λ = c / f with the Rayleigh speed of the bench rock, 1,691 m/s (P1-01); an image resolves about half a wavelength

What each band can see

In the microseism band, where the ground moves most, a wave is 6 to 17 km long: it feels the average of kilometres of rock. At Giza’s 0.6 Hz resonance it is about 3 km. To resolve a 6 m chamber takes about 141 Hz; a 10 m shaft about 85 Hz.

At those frequencies there is no regional noise field, only sources within tens of metres: footsteps, engines, pumps. That is the setting of the ambient-noise imaging test, which even then, with the rock known exactly and an unlimited record, reaches only 2.2× at the chamber (P1-04).

Fifteen metres from a road, a passing truck shakes the ground a thousand times harder than the microseisms

At 15 m (50 ft) from the sourceVdBµm/s× microseisms
Typical background vibration519.0200
Bus or truck, typical6336700
Threshold of human perception6545900
Bus or truck over a bump721002,000

RMS velocity over one second, above 8 Hz, from the Federal Transit Administration’s Transit Noise and Vibration Impact Assessment (1995), Figure 7-3 (levels read from the figure; the perception threshold quoted from the text). VdB is 20 log₁₀ of the velocity over 10⁻⁶ in/s.

Local, brief, and above 8 Hz

Traffic is the strongest ambient source a site like Giza has, and it is local: it falls off within tens of metres of the road, comes and goes with each vehicle, and lives above 8 Hz, “for all practical purposes the frequency range of interest to ground-borne vibration” in the manual’s words.

A truck over a bump reaches about 100 µm/s. The satellite simulation tested whether a dwell can follow motion that fast: a look short enough to follow 15 Hz lasts 33 ms and blurs the ground over 33 m, and at that speed the smallest motion one pass could detect on plain ground is about 21,000 µm/s (P2-05).

Near the roads the ground shakes hardest, and still out of the satellite’s reach

Worst case by construction: every mapped road carries a truck at its point nearest each spot, with the manual’s levels 15 m away, falling off as a surface wave does (Caltrans 2020, Eq. 6) between undamped rock and the most damping rock-like ground in its tables. Roads from OpenStreetMap. The map marks where a truck would shake the ground faster than 77 µm/s, the first investigation’s velocity floor, which the satellite simulation showed is the scatter of a reading that registers little ground motion (R4, corrected). A typical truck never does; a truck over a bump does within 25 m of the road.

Fig. A3 · The Giza plateau: roads, and where traffic would shake the ground faster than 77 µm/s
KhufuKhafreMenkaure200 mN
road for vehiclespathwithin 25 m: a truck over a bump could reach the floorpyramid

the site's extent, 1.6 × 1.4 km; the town of Nazlet el-Samman lies along the east edge

A truck on the nearest roadat 15 m, µm/sabove 77 µm/s withinof the plateau
typical truck · undamped rock36never0%
typical truck · damping as marly chalk36never0%
over a bump · undamped rock10025 m17%
over a bump · damping as marly chalk10017 m13%

From each pyramid’s centre to the nearest mapped road: Khufu 131 m · Khafre 199 m · Menkaure 218 m. Within 15 m of a road the level is held at its 15 m value: closer is louder, and unsourced.

Even with a truck on every road at its nearest point, ambient motion reaches the radar's 77 um/s floor only within 25 m of a road, and only for a truck over a bump (17% of the plateau); a typical truck never does. Khafre's centre is 199 m from the nearest mapped road; the microseisms are 1,571 times below the floor everywhere.

p2_00_ambient_giza2026-09-27 · 1.5 s · commit b6f3f9cdatacode
floor m s0.000077
box-640, 960, -760, 640
spacing m2
roadsOpenStreetMap contributors, via the Overpass API; data under the Open Database License (ODbL), www.openstreetmap.org/copyright
osm timestamp2026-05-31T22:37:44Z
levels 15m m stypical 0.000036 · bump 0.0001
damping per mrock 0 · marly chalk 0.1
geometric exponent0.5
microseism m s4.9e-8
worst casea vehicle on every road at its point nearest each spot; held at the 15 m level within 15 m
roadsOpenStreetMap contributors, via the Overpass API; data under the Open Database License (ODbL), www.openstreetmap.org/copyright · as of 2026-05-31T22:37:44Z
levelsFTA (1995) Figure 7-3 at 15 m; Caltrans (2020) Eq. 6, Table 1 exponent 0.5, Table 2 marly chalk 0.1 per metre
worst casea vehicle on every road at its point nearest each spot; held at the 15 m level within 15 m
environmentpython 3.11.15 · numpy 2.4.6 · numba 0.67.0 · threads 4 · cpus 4
source atb6f3f9c

What one satellite pass could detect is 1,300 to 18,400 times Giza’s microseisms

The microseisms near Giza move the ground 0.049 µm/s; even Peterson’s high-noise model, the world’s noisiest stations, reaches 3.5 µm/s. Allowing every advantage, the smallest motion one ICEYE dwell could detect is about 62 µm/s on a bright stone and 900 µm/s on plain ground (P2-05), and a chamber changes the ground’s motion by only a ten-thousandth of it (P2-04). The first investigation’s 77 µm/s “floor” (R4) was the scatter of a reading that recovers 1% of real ground motion, and its 0.1–10 µm/s for ambient motion had no source; both are replaced here by measurement.

If the seismic lab continues: the ambient field in every site

Microseisms

Surface waves from distant storms, arriving from every direction as plane waves at 0.1–1 Hz: generated to the measured spectrum, with the Rayleigh ellipse for horizontal motion and the regional speed (about 3 km/s; Adam et al. 2025).

Cultural noise

Traffic on the mapped roads is now a sourced worst case (above). Next: time series with the traffic spectrum (10–30 Hz, centred near 15 Hz) and vehicles that come and go, for the 24.5 s of a dwell; a measured level on the plateau would replace the manual’s.

One field, three uses

The ambient-noise test redone at realistic levels; the noise on the active surveys, replacing white noise; and the ground motion the simulated ICEYE dwell looks at.