# 📐  L2 Spec — Hydraulic Fracture Propagation Modeling — Nominal + Mismatch Specs

**ID:** `L2-461-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-461`](/artifact/l1/L1-461)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.4 · **Delta tier:** 5
> **⛓ On-chain block:** 41555283

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| Stage spacing ft | — | 50 – 500 |
| Young modulus gpa | — | 5 – 80 |
| Fluid viscosity cp | — | 5 – 5000 |
| Injection rate bbl min | — | 2 – 50 |

## 2. Tolerance (ε)

**Type:** `fn`

```
20 + 10 * (fluid_viscosity_cP / 50) ** 0.3
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.4 |
| Delta tier | 5 |

## 4. Fingerprint

`260a831d64497520c2b4c63ced1d2890647b928da9902f3d389487f8b9c6f943`

## 5. On-chain Registration

- **Chain hash:** `0x58f4662313af61549b332168292c05713c76557e0925782b2df65e3afa501a9a`
- **Chain tx hash:** `0x9ded3e8aae4f2d7cbf844191fba3c6ecf0b18d3c16e021d172e144b8bd055e93`
- **Chain block:** `41555283`

---

## File Mapping

This bundle consists of: `L2-461-001.md`, `L2-461-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-461-001.md` | Source of truth — edit this | Human or LLM |
| `L2-461-001.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 `L2-461-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._