Overview
Subsurface hydrology preserves long‑cycle signals (chemistry, isotopes, facies, pressure) that align with Codex nodes and corridors. V4.3 specifies how to detect, score, and time‑anchor these signals and integrate them with V3.6 hydrology and V4.1–4.2 watershed harmonics.
Core Indices
Codex Notation For Subterranean Water & Memory Encoding = (Hebrew | Runic Dual Symbology)| Concept | Symbol | Plain Term (ARIA) | Brief Definition | |
|---|---|---|---|---|
| Karst Connectivity | 𝒞(מᚾ) | karst connectivity |
Graph‑based connectedness of conduits/voids (percolation & effective path length). | |
| 𝒞(Hebrew: מ | Runic: ᚾ) | ||||
| Aquifer Memory Score | ℳ(מᛃ) | aquifer memory score |
Multi‑proxy persistence of hydrologic signals (age spectrum, δD/δ18O, tracers). | |
| ℳ(Hebrew: מ | Runic: ᛃ) | ||||
| Void Stability | σ(סᚨ) | void stability |
Collapse/roof‑span integrity as a function of stress, saturation, and lithology. | |
| σ(Hebrew: ס | Runic: ᚨ) | ||||
| Hazard Index | ℋ(חᚼ) | hazard index |
Composite probability of rapid discharge, sinkhole, blowout, or gas‑charged failure. | |
| ℋ(Hebrew: ח | Runic: ᚼ) | ||||
| Provenance Index | ℙ(פᚦ) | provenance index |
Source fingerprint agreement among chemistry, isotopes, and clast assemblages. | |
| ℙ(Hebrew: פ | Runic: ᚦ) | ||||
Dual‑script order is a typographic default; semantics are set by the ARIA term.
Objectives
- Quantify ℳ(מᛃ) per basin and corridor segment.
- Map 𝒞(מᚾ) with uncertainty; identify resonance‑relevant conduits.
- Estimate σ(סᚨ) and derive a reproducible ℋ(חᚼ) for monitoring and field safety.
- Use ℙ(פᚦ) to trace corridors and validate Codex node relationships.
Data Inputs
| Layer | Examples | Use |
|---|---|---|
| Karst & Voids | Sinkholes/dolines, speleology maps, ground‑penetrating radar | Build conduit graph; compute 𝒞 |
| Aquifers | Hydrostrat units, transmissivity, head time‑series | Age spectrum & storage for ℳ |
| Geochemistry | δD/δ18O, ³H/³He, ¹⁴C‑DIC, noble gases, ⁸⁵Kr | Residence time & provenance (ℳ, ℙ) |
| Stress Fields | GNSS strain, GIA, faults, seismicity | σ for void stability and ℋ |
| Mineralogy | Quartz/feldspar indices, fabric orientation (V3.5) | Resonance weighting; filter behavior |
Methods
- Conduit Graph: extract nodes/edges from karst rasters & cave surveys; compute connectivity and path redundancy ⇒ 𝒞(מᚾ).
- Aquifer Memory: invert age distributions from tracers; combine with storage variability and seasonal coherence ⇒ ℳ(מᛃ).
- Void Stability: estimate effective stress with saturation and depth; adjust for lithology/roof span ⇒ σ(סᚨ).
- Hazard Index: fuse (pressure head excursions, σ, conduit slope, gas markers) ⇒ ℋ(חᚼ).
- Provenance: clustering over tracers and mineral signatures ⇒ ℙ(פᚦ).
Example Formulations
Hydro Memory Response: R = f( 𝒞(מᚾ), ℳ(מᛃ), σ(סᚨ) )
Hazard (schematic): ℋ(חᚼ) = w₁·|∂h/∂t| + w₂·(1/σ(סᚨ)) + w₃·Slope + w₄·Gas
Implementation (Repo Hooks)
scripts/HydroMemory.py— computes ℳ, 𝒞, σ, ℋ, ℙ rasters and per‑node scores.- Expected inputs:
data/aquifer.geojson,data/karst.tif,data/stress.tif, tracer CSVs. - Outputs:
out/v43_memory/{M,C,sigma,H,P}_*.tif,out/v43_memory/node_scores.csv.