L1 ⚛ L1-291 ⊙ Testnet

Well Test Analysis — transient pressure testing

Geophysics · Pressure-transient analysis (PTA) for reservoir properties

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⬇ principle.md ⬇ principle.json

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⬇ L1-291.md ⬇ L1-291.json

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You are helping me submit a MODIFICATION of L1-291 (Well Test Analysis — transient pressure testing) to the PWM Protocol — a Principle (L1) artifact.

I will paste a Markdown template (or the current L1-291.md).
1. Rewrite the Markdown so the science is correct and clearly explained for my change.
2. Regenerate the sibling L1-291.json so EVERY field matches the Markdown.
3. Keep the schema in the "File Mapping" footer at the bottom of the MD.
4. Keep the parent reference unchanged unless I ask otherwise.
Rules: the Markdown is the source of truth; use SI units; do NOT invent benchmark scores.
Output each file in its own fenced code block tagged with the filename.

Here is my template:
[PASTE THE .md HERE]

⚙ Forward Model

y = ∫_t dt `L.boundary_detect` `L.radial_flow` `L.diffusivity` x + n,    n ~ 𝒩(0, σ²)

world state x (kh skin params)

→

L · diffusivity `L.diffusivity`

→

L · radial flow `L.radial_flow`

→

L · boundary detect `L.boundary_detect`

→

Temporal integration ∫_t dt

→

observation y (mechanical detector)

Noise: additive Gaussian noise

Markdown — human-readable source of truth

⚙ auto-generated

⬇ L1-291.md

# ⚛ L1 Principle — Well Test Analysis — transient pressure testing **ID:** `L1-291` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Geophysics — *Pressure-transient analysis (PTA) for reservoir properties* > **🎯 Problem class:** linear inverse · **🧮 Solution space:** kh skin params > **📡 Carrier:** mechanical · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 3 · **⛓ Block:** 41554066 --- ## 🧠 1. Introduction **Well Test Analysis — transient pressure testing** is a **linear inverse problem** whose unknown lives in **kh skin params** space, within the **Pressure-transient analysis (PTA) for reservoir properties** sub-domain of **Geophysics**. Measurements consist of mechanical vibrations or strain signals via a **downhole pressure** sensing mechanism. The forward operator applies, in order: L · diffusivity operator; L · radial flow operator; L · boundary detect 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 · diffusivity → L · radial flow → L · boundary detect → Temporal integration → **y** (detector). ``` y = ∫_t dt `L.boundary_detect` `L.radial_flow` `L.diffusivity` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.diffusivity` | L · diffusivity operator | | `L.radial_flow` | L · radial flow operator | | `L.boundary_detect` | L · boundary detect operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Geophysics | | Sub domain | Pressure-transient analysis (PTA) for reservoir properties | | Carrier | mechanical | | Problem class | linear_inverse | | Solution space | kh_skin_params | | Noise model | gaussian | | Integration axis | temporal | | Difficulty delta | 3 | | L dag | 3 | ## 📡 4. Measurement Model Conditional stability; mismatch parameters dominate at Omega bounds. | Metric | Value | |---|---| | Metric | kh_rel_error_percent | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `pta` · **Forward operator:** `pta_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | Snr db | dB | 30 | | N times | — | 1000 | | Boundary error | — | 0 | | Kh prior error | — | 0 | | Skin factor error | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | Snr db | dB | 0 – 40 | | N times | — | 10 – 100000 | | Boundary error | — | 0.0 – 0.3 | | Kh prior error | — | 0.0 – 0.2 | | Skin factor error | — | 0.0 – 0.3 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 3.0 | Metric | Range | |---|---| | Kh rel | 0.3 – 30.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **kh_rel_error_percent**, with κ = `240` and δ = `3`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0xf2f70ea25462cf3734fda6ba48bf768ec5f568d7fd503ad2d79395df61dd62a4` - **Chain tx hash:** `0xb9ecb7293132bb57e67a4f5db71a9ceb9a1cfd6403db78207e0f4937b088161f` - **Chain block:** `41554066` --- ## File Mapping This bundle consists of: `L1-291.md`, `L1-291.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-291.md` | Source of truth — edit this | Human or LLM | | `L1-291.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 `L1-291`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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L2-291-001 Well Test Analysis — transient pressure testing Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-291",
  "chain_block": 41554066,
  "chain_hash": "0xf2f70ea25462cf3734fda6ba48bf768ec5f568d7fd503ad2d79395df61dd62a4",
  "chain_tx_hash": "0xb9ecb7293132bb57e67a4f5db71a9ceb9a1cfd6403db78207e0f4937b088161f",
  "domain": "Geophysics",
  "hardness_fn": {
    "delta": 3,
    "kappa": 240,
    "metric": "kh_rel_error_percent",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "kh_rel_error_percent",
    "regime": "Conditional stability; mismatch parameters dominate at Omega bounds.",
    "secondary": "SSIM"
  },
  "physics_fingerprint": {
    "L_DAG": 3.0,
    "carrier": "mechanical",
    "difficulty_delta": 3,
    "domain": "Geophysics",
    "integration_axis": "temporal",
    "noise_model": "gaussian",
    "primitives": [
      "L.diffusivity",
      "L.radial_flow",
      "L.boundary_detect",
      "int.temporal"
    ],
    "problem_class": "linear_inverse",
    "sensing_mechanism": "downhole_pressure",
    "solution_space": "kh_skin_params",
    "sub_domain": "Pressure-transient analysis (PTA) for reservoir properties",
    "title": "Well Test Analysis \u2014 transient pressure testing"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "pta_forward"
    ],
    "allowed_omega_dimensions": [
      "N_times",
      "SNR_dB",
      "skin_factor_error",
      "kh_prior_error",
      "boundary_error",
      "skin_factor_error",
      "kh_prior_error",
      "boundary_error"
    ],
    "allowed_problem_classes": [
      "pta"
    ],
    "center_spec": {
      "epsilon_fn_center": "3.0",
      "forward_operator": "pta_forward",
      "input_format": "measurement_only",
      "omega": {
        "N_times": 1000,
        "SNR_dB": 30,
        "boundary_error": 0.0,
        "kh_prior_error": 0.0,
        "skin_factor_error": 0.0
      },
      "problem_class": "pta"
    },
    "epsilon_bounds": {
      "kh_rel": [
        0.3,
        30.0
      ]
    },
    "omega_bounds": {
      "N_times": [
        10,
        100000
      ],
      "SNR_dB": [
        0,
        40
      ],
      "boundary_error": [
        0.0,
        0.3
      ],
      "kh_prior_error": [
        0.0,
        0.2
      ],
      "skin_factor_error": [
        0.0,
        0.3
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Pressure-transient analysis (PTA) for reservoir properties",
  "title": "Well Test Analysis \u2014 transient pressure testing"
}

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