L1 ⚛ L1-277 ⊙ Testnet

Ambient-Noise Tomography — Green-function retrieval

Geophysics · Cross-correlation of ambient seismic noise

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⬇ L1-277.md

# ⚛ L1 Principle — Ambient-Noise Tomography — Green-function retrieval **ID:** `L1-277` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Geophysics — *Cross-correlation of ambient seismic noise* > **🎯 Problem class:** linear inverse · **🧮 Solution space:** 2D phase velocity map > **📡 Carrier:** acoustic · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554051 --- ## 🧠 1. Introduction **Ambient-Noise Tomography — Green-function retrieval** is a **linear inverse problem** whose unknown lives in **2D phase velocity map** space, within the **Cross-correlation of ambient seismic noise** sub-domain of **Geophysics**. Measurements consist of acoustic pressure waves recorded by transducers via a **continuous seismometer** sensing mechanism. The forward operator applies, in order: L · cross correlate operator; L · green retrieve operator; L · tomographic invert operator; detector accumulates flux over the exposure window. Observations are corrupted by additive Gaussian noise. Conditional stability; mismatch parameters dominate at Omega bounds. ## ⚙ 2. Forward Model Physical chain: **x** → L · cross correlate → L · green retrieve → L · tomographic invert → Temporal integration → **y** (detector). ``` y = ∫_t dt `L.tomographic_invert` `L.green_retrieve` `L.cross_correlate` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.cross_correlate` | L · cross correlate operator | | `L.green_retrieve` | L · green retrieve operator | | `L.tomographic_invert` | L · tomographic invert operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Geophysics | | Sub domain | Cross-correlation of ambient seismic noise | | Carrier | acoustic | | Problem class | linear_inverse | | Solution space | 2D_phase_velocity_map | | Noise model | gaussian | | Integration axis | temporal | | Difficulty delta | 5 | | L dag | 3.3 | ## 📡 4. Measurement Model Conditional stability; mismatch parameters dominate at Omega bounds. | Metric | Value | |---|---| | Metric | c_rel_error_percent | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `ant` · **Forward operator:** `ant_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | N days | — | 365 | | Snr db | dB | 25 | | N freqs | — | 10 | | N stations | — | 50 | | Scattering unmodelled | — | 0 | | Station pair imbalance | — | 0 | | Source distribution nonuniform | — | 0.1 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | N days | — | 7 – 3650 | | Snr db | dB | 0 – 40 | | N freqs | — | 1 – 50 | | N stations | — | 5 – 5000 | | Scattering unmodelled | — | 0.0 – 0.3 | | Station pair imbalance | — | 0.0 – 0.3 | | Source distribution nonuniform | — | 0.0 – 0.5 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 5.0 | Metric | Range | |---|---| | C rel | 0.5 – 30.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **c_rel_error_percent**, with κ = `500` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0xc80cca227b15a29210429b8b75e41e2590f9197ec7f4b025e3a6faf56b373a4e` - **Chain tx hash:** `0x6cc7c9773073bbe621b89e52d95244aed1f1cfc377e8f9b81db2d99ad3e10db2` - **Chain block:** `41554051` --- ## File Mapping This bundle consists of: `L1-277.md`, `L1-277.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-277.md` | Source of truth — edit this | Human or LLM | | `L1-277.json` | Structured metadata for the registry | LLM regenerates from the sections above | **Prompt for your LLM after editing this Markdown:** > Read the attached Markdown. Regenerate the sibling `.json` so every field matches. > Preserve the schema documented in the rows above. > Output each file in its own fenced code block tagged with the filename. > Output only the JSON object. _This Markdown was auto-synthesized from the catalog row for `L1-277`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-277.md).
Regenerate L1-277.json so every field matches the Markdown.
Preserve the schema documented in the File Mapping footer at the bottom of the MD.
Output each file in its own fenced code block tagged with the filename.

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L2-277-001 Ambient-Noise Tomography — Green-function retrieval Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-277",
  "chain_block": 41554051,
  "chain_hash": "0xc80cca227b15a29210429b8b75e41e2590f9197ec7f4b025e3a6faf56b373a4e",
  "chain_tx_hash": "0x6cc7c9773073bbe621b89e52d95244aed1f1cfc377e8f9b81db2d99ad3e10db2",
  "domain": "Geophysics",
  "hardness_fn": {
    "delta": 5,
    "kappa": 500,
    "metric": "c_rel_error_percent",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
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      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "c_rel_error_percent",
    "regime": "Conditional stability; mismatch parameters dominate at Omega bounds.",
    "secondary": "SSIM"
  },
  "physics_fingerprint": {
    "L_DAG": 3.3,
    "carrier": "acoustic",
    "difficulty_delta": 5,
    "domain": "Geophysics",
    "integration_axis": "temporal",
    "noise_model": "gaussian",
    "primitives": [
      "L.cross_correlate",
      "L.green_retrieve",
      "L.tomographic_invert",
      "int.temporal"
    ],
    "problem_class": "linear_inverse",
    "sensing_mechanism": "continuous_seismometer",
    "solution_space": "2D_phase_velocity_map",
    "sub_domain": "Cross-correlation of ambient seismic noise",
    "title": "Ambient-Noise Tomography \u2014 Green-function retrieval"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "ant_forward"
    ],
    "allowed_omega_dimensions": [
      "N_stations",
      "N_days",
      "N_freqs",
      "SNR_dB",
      "source_distribution_nonuniform",
      "station_pair_imbalance",
      "scattering_unmodelled",
      "source_distribution_nonuniform",
      "station_pair_imbalance",
      "scattering_unmodelled"
    ],
    "allowed_problem_classes": [
      "ant"
    ],
    "center_spec": {
      "epsilon_fn_center": "5.0",
      "forward_operator": "ant_forward",
      "input_format": "measurement_only",
      "omega": {
        "N_days": 365,
        "N_freqs": 10,
        "N_stations": 50,
        "SNR_dB": 25,
        "scattering_unmodelled": 0.0,
        "source_distribution_nonuniform": 0.1,
        "station_pair_imbalance": 0.0
      },
      "problem_class": "ant"
    },
    "epsilon_bounds": {
      "c_rel": [
        0.5,
        30.0
      ]
    },
    "omega_bounds": {
      "N_days": [
        7,
        3650
      ],
      "N_freqs": [
        1,
        50
      ],
      "N_stations": [
        5,
        5000
      ],
      "SNR_dB": [
        0,
        40
      ],
      "scattering_unmodelled": [
        0.0,
        0.3
      ],
      "source_distribution_nonuniform": [
        0.0,
        0.5
      ],
      "station_pair_imbalance": [
        0.0,
        0.3
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Cross-correlation of ambient seismic noise",
  "title": "Ambient-Noise Tomography \u2014 Green-function retrieval"
}

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