# 📐  L2 Spec — Advection-Dispersion Transport Inversion — Nominal + Mismatch Specs

**ID:** `L2-415-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-415`](/artifact/l1/L1-415)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.28 · **Delta tier:** 5
> **⛓ On-chain block:** 41555241

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| V m d | — | 0.01 – 10.0 |
| N time steps | — | 20 – 500 |
| Domain length m | m | 10 – 10000 |
| N monitoring wells | — | 2 – 50 |

## 2. Tolerance (ε)

**Type:** `fn`

```
5 + 5 * (5 / N_monitoring_wells) ** 0.5
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.28 |
| Delta tier | 5 |

## 4. Fingerprint

`d304a59a2c090ea4ba3384e76d759fe2c632e8f9dbd0bdd55562d72dbac89423`

## 5. On-chain Registration

- **Chain hash:** `0xe895b518f33bc14735c33442601f2d2ce652bb842a8ff92aaaef47a6d87d4d93`
- **Chain tx hash:** `0x67a7183856a1ed433b4affde6bc947e3d9f582c97ccad143029c61f13df0e3da`
- **Chain block:** `41555241`

---

## File Mapping

This bundle consists of: `L2-415-001.md`, `L2-415-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-415-001.md` | Source of truth — edit this | Human or LLM |
| `L2-415-001.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 `L2-415-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._