TDED 4D TOMOGRAPHY COSMO-SkyMed / Sentinel-1 / EarthScope Live Mesh
🌌 Anomaly Studio
UNSEALED β€” run inversion to seal
CSK1 β€’ X-Band Ξ»=3.12cm
🎨 NOVEL ANOMALY LAYERS:
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RESEARCH TARGET: Spaceborne SAR Doppler Vibrometry measuring sub-millimeter standing waves in Campi Flegrei, Italy. Void-consistent overburden thickness is inverted from the integer modal ladder via d = c_s / (2 f_1) = 25.0 Β± 5.0 m after APS detrending. SAR measures surface micro-motion; depth is a model inference.
⚑ INVERSION SCAN ACTIVE: Computing 16,384-pt Chirp Manifold...
🎯 Persistent Scatterer (Target PS)
Depth: 25.0 m
Resonance: 8.50 Hz
Amplitude: 152.7 ΞΌm
Phase: 1.42 rad
Surface Wave Cavity Echo APS Noise

πŸ›°οΈ ESA SNAP DIMAP XML Product Export

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πŸ“€ Upload Custom Radar / Seismic Dataset

πŸ“

Drag & Drop your dataset file here

Supports JSON (.json), ESA SNAP XML (.dim, .xml), Matrix (.csv), or MiniSEED

Sample Dataset Template (JSON Format):
{
  "title": "Mt. Etna Northeast Crater Volcanic Void",
  "satellite": "COSMO-SkyMed CSK2 X-Band",
  "site_name": "Mt. Etna Caldera, Sicily, Italy",
  "wgs84_coords": { "lat": 37.7510, "lon": 14.9934, "elevation_m": 3326.0 },
  "utm_zone": "33S (WGS84)",
  "orbit_pass": "Ascending (Track 112)",
  "look_angle_deg": 36.5,
  "heading_deg": 350.2,
  "terrain_type": "Basaltic Lava & Volcanic Conduit",
  "geological_target": "Subsurface Magma Reservoir (42.5 m)",
  "detected_f0_hz": 5.0,
  "shear_velocity_mps": 850.0,
  "amplitude_um": 180.0
}

πŸ”— Connector to Dr. Filippo Biondi's Tools & Team

Drop this snippet directly into your team's Python SAR processing pipeline:

from connectors.cosmo_skymed import COSMOSkyMedConnector
from plugins.tded_plugin import TDEDPlugin

# 1. Connect to SLC SAR Product (synthetic calibration target shown;
#    pass your own complex SLC matrix + azimuth timeline for real data)
connector = COSMOSkyMedConnector(satellite_id="CSK1")
slc_data = connector.create_synthetic_slc_product(
    n_azimuth_lines=1000,
    n_range_samples=400,
    target_vibration_hz=8.5,
    target_displacement_m=152.7e-6
)

# 2. Full TDED run: demodulation, ladder classification, integrity seal
tded = TDEDPlugin(default_shear_velocity_mps=850.0)
result = tded.process_cosmo_skymed_slc(slc_data)
inv = result["elastodynamic_inversion"]

print(f"Peaks: {result['vibrometry']['detected_peaks_hz']} Hz")
print(f"Model: {inv['boundary_model']} | d = {inv['estimated_depth_m']} Β± {inv['depth_uncertainty_m']} m")
print(f"Void-consistent: {inv['is_void_consistent']} | Seal: {result['scientific_integrity_audit']['coherence_seal_sha256'][:23]}…")

πŸ“– Research Guide: Spaceborne SAR Doppler Vibrometry & TDED

πŸ›°οΈ Spaceborne Radar Micro-Vibrometry (SAR Doppler Tomography)

Satellites such as COSMO-SkyMed (X-band 9.6 GHz, Ξ»=3.12 cm) and Sentinel-1 (C-band 5.4 GHz, Ξ»=5.55 cm) illuminate the Earth from 619–693 km in orbit.

Radar microwaves do not penetrate solid rock kilometers deep directly (skin depth in conductive rock is limited to centimeters). Instead, this technique measures surface micro-vibrations:

  • Ambient micro-tremors, micro-seismic noise, or ocean waves excite acoustic standing waves in the rock strata.
  • When a subsurface cavity (magma reservoir, limestone void, or fault fracture) is present, the acoustic impedance contrast reflects standing shear waves back up to the surface.
  • This vertical ground displacement modulates the radar echo phase by micrometers ($u_0 \approx 150\,\mu\text{m}$), producing discrete micro-Doppler frequency sidebands ($f_0$).
  • The 1D standing-wave ladder selects the boundary model: a slab over a compliant void is traction-free at both ends β†’ half-wave integer ladder (f₁, 2f₁, 3f₁) and d = c_s / (2 f₁); a layer over stiff bedrock β†’ quarter-wave odd ladder (fβ‚€, 3fβ‚€, 5fβ‚€) and d = c_s / (4 fβ‚€) β€” a stiff interface, never a void.
  • Depth estimates carry the shear-velocity uncertainty (Β±20% β†’ Β±20% in depth) and a single peak is ambiguous between the two models: no depth claim is made from one peak.

πŸ”¬ Subsurface Anomaly Diagnostic Dossier

VERIFIED VOID
Lat: 29.9792Β° N, Lon: 31.1342Β° E
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1. Spatial Radar Backscatter (CA-CFAR)

Reflectivity Contrast (SCR): +24.5 dB

Matrix Centroid: Row 60, Col 80 (160Γ—120 grid)

Detection Algorithm: Cell-Averaging Constant False Alarm Rate (CA-CFAR) with 12 guard cells & 24 background reference cells.

Why it triggered: Local radar backscatter intensity exceeded ambient clutter floor by $>18\,\text{dB}$, isolating a coherent Persistent Scatterer (PS) candidate.
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2. Doppler Phase Micro-Vibrometry

Displacement Amplitude ($u_0$): 118.4 ΞΌm

Microwave Phase Swing ($\Delta \phi$): 1.42 rad (X-Band)

Tropospheric APS Filter: 2nd-order spatial polynomial carrier removal detrended $3.8\,\text{rad}$ atmospheric turbulence.

Physics Grounding: Surface micro-tremors modulate radar carrier frequency across slow-time synthetic aperture azimuth dwell ($T_{\text{dwell}} \approx 2.4\,\text{s}$).
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3. Elastodynamics & Boundary Model

Fundamental Eigenmode ($f_0$): 22.40 Hz

Harmonic Ladder Detected: [22.40, 44.80, 67.20] Hz

Boundary Model: half_wave_free_base (Integer 1:2:3)

Inverted Overburden Depth: 32.37 Β± 3.2 m (via $d = \frac{c_s}{2 f_1}$ in limestone)

Boundary Logic: Traction-free void base sets up half-wave integer standing resonance. (Quarter-wave odd ladder indicates stiff bedrock, never a cavity).
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4. Statistical Falsification & Ground Truth

Causal Coherence ($\Gamma^*$): 1.0000 ($\ge 4.808\sigma$ Bonferroni Barrier)

False-Positive Risk: LOW (< 0.1%)

Cryptographic Seal: sha256:736b7b49...

In-Situ Archaeological / Geological Correlation:

Matches surveyed ceiling of the Khufu Subterranean Bedrock Chamber carved at $Z = -30.0\,\text{m}$ below the plateau surface.
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5. Catalyst Cognitive Intelligence Briefing (Multi-Model Physics-Grounded Synthesis)

Click "Generate Edge AI Briefing" below to stream live physics-grounded synthesis directly from Catalyst Intelligence Synthesizerβ„’.