L1 ⚛ L1-276 ⊙ Testnet

Seismic Reflection — post-stack migration and imaging

Geophysics · Reverse-time migration (RTM) of reflection seismology

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⬇ L1-276.md

# ⚛ L1 Principle — Seismic Reflection — post-stack migration and imaging **ID:** `L1-276` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Geophysics — *Reverse-time migration (RTM) of reflection seismology* > **🎯 Problem class:** linear inverse · **🧮 Solution space:** 3D reflectivity image > **📡 Carrier:** acoustic · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554051 --- ## 🧠 1. Introduction **Seismic Reflection — post-stack migration and imaging** is a **linear inverse problem** whose unknown lives in **3D reflectivity image** space, within the **Reverse-time migration (RTM) of reflection seismology** sub-domain of **Geophysics**. Measurements consist of acoustic pressure waves recorded by transducers via a **hydrophone geophone array** sensing mechanism. The forward operator applies, in order: isotropic point-source emission model; L · wave propagate operator; L · reverse time migrate operator; pixel-level spatial averaging on the detector. Observations are corrupted by additive Gaussian noise. Conditional stability; mismatch parameters dominate at Omega bounds. ## ⚙ 2. Forward Model Physical chain: **x** → Source emission → L · wave propagate → L · reverse time migrate → Spatial integration → **y** (detector). ``` y = ∫_A dA `L.reverse_time_migrate` `L.wave_propagate` δ_source x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.source_emit` | Isotropic point-source emission model | | `L.wave_propagate` | L · wave propagate operator | | `L.reverse_time_migrate` | L · reverse time migrate operator | | `int.spatial` | Pixel-level spatial averaging on the detector | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Geophysics | | Sub domain | Reverse-time migration (RTM) of reflection seismology | | Carrier | acoustic | | Problem class | linear_inverse | | Solution space | 3D_reflectivity_image | | Noise model | gaussian | | Integration axis | spatial | | Difficulty delta | 5 | | L dag | 3.5 | ## 📡 4. Measurement Model Conditional stability; mismatch parameters dominate at Omega bounds. | Metric | Value | |---|---| | Metric | PSNR_dB | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `reflection_migration` · **Forward operator:** `reflection_migration_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | H | px | 1024 | | W | px | 1024 | | Z | — | 512 | | Snr db | dB | 30 | | N shots | — | 256 | | N receivers | — | 512 | | Source pos error | — | 0 | | Topography error | — | 0 | | Velocity model error | — | 0 | | Dipole sensitivity error | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | H | px | 128 – 8192 | | W | px | 128 – 8192 | | Z | — | 64 – 4096 | | Snr db | dB | 0 – 40 | | N shots | — | 16 – 100000 | | N receivers | — | 64 – 100000 | | Source pos error | — | 0.0 – 0.05 | | Topography error | — | 0.0 – 0.1 | | Velocity model error | — | 0.0 – 0.2 | | Dipole sensitivity error | — | 0.0 – 0.2 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 22.0 | Metric | Range | |---|---| | Psnr db | 10.0 – 45.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `700` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0xe004e27864f2cacd8a95c758f293a705a1be930683fdbbeed1a5d87e7d6fb90e` - **Chain tx hash:** `0xbe9febbf008ee252420c5ceb9e96fb94f021c3d838becf47fee7602c3bedf139` - **Chain block:** `41554051` --- ## File Mapping This bundle consists of: `L1-276.md`, `L1-276.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-276.md` | Source of truth — edit this | Human or LLM | | `L1-276.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 `L1-276`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-276.md).
Regenerate L1-276.json so every field matches the Markdown.
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L2-276-001 Seismic Reflection — post-stack migration and imaging Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-276",
  "chain_block": 41554051,
  "chain_hash": "0xe004e27864f2cacd8a95c758f293a705a1be930683fdbbeed1a5d87e7d6fb90e",
  "chain_tx_hash": "0xbe9febbf008ee252420c5ceb9e96fb94f021c3d838becf47fee7602c3bedf139",
  "domain": "Geophysics",
  "hardness_fn": {
    "delta": 5,
    "kappa": 700,
    "metric": "PSNR_dB",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
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      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "PSNR_dB",
    "regime": "Conditional stability; mismatch parameters dominate at Omega bounds.",
    "secondary": "SSIM"
  },
  "physics_fingerprint": {
    "L_DAG": 3.5,
    "carrier": "acoustic",
    "difficulty_delta": 5,
    "domain": "Geophysics",
    "integration_axis": "spatial",
    "noise_model": "gaussian",
    "primitives": [
      "L.source_emit",
      "L.wave_propagate",
      "L.reverse_time_migrate",
      "int.spatial"
    ],
    "problem_class": "linear_inverse",
    "sensing_mechanism": "hydrophone_geophone_array",
    "solution_space": "3D_reflectivity_image",
    "sub_domain": "Reverse-time migration (RTM) of reflection seismology",
    "title": "Seismic Reflection \u2014 post-stack migration and imaging"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "reflection_migration_forward"
    ],
    "allowed_omega_dimensions": [
      "H",
      "W",
      "Z",
      "N_shots",
      "N_receivers",
      "SNR_dB",
      "velocity_model_error",
      "source_pos_error",
      "topography_error",
      "dipole_sensitivity_error",
      "velocity_model_error",
      "source_pos_error",
      "topography_error",
      "dipole_sensitivity_error"
    ],
    "allowed_problem_classes": [
      "reflection_migration"
    ],
    "center_spec": {
      "epsilon_fn_center": "22.0",
      "forward_operator": "reflection_migration_forward",
      "input_format": "measurement_only",
      "omega": {
        "H": 1024,
        "N_receivers": 512,
        "N_shots": 256,
        "SNR_dB": 30,
        "W": 1024,
        "Z": 512,
        "dipole_sensitivity_error": 0.0,
        "source_pos_error": 0.0,
        "topography_error": 0.0,
        "velocity_model_error": 0.0
      },
      "problem_class": "reflection_migration"
    },
    "epsilon_bounds": {
      "psnr_db": [
        10.0,
        45.0
      ]
    },
    "omega_bounds": {
      "H": [
        128,
        8192
      ],
      "N_receivers": [
        64,
        100000
      ],
      "N_shots": [
        16,
        100000
      ],
      "SNR_dB": [
        0,
        40
      ],
      "W": [
        128,
        8192
      ],
      "Z": [
        64,
        4096
      ],
      "dipole_sensitivity_error": [
        0.0,
        0.2
      ],
      "source_pos_error": [
        0.0,
        0.05
      ],
      "topography_error": [
        0.0,
        0.1
      ],
      "velocity_model_error": [
        0.0,
        0.2
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Reverse-time migration (RTM) of reflection seismology",
  "title": "Seismic Reflection \u2014 post-stack migration and imaging"
}

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