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CASE STUDYSUBSTRATA v1.0

Stratos Hyperscale Data Center
Subsurface Thermal Risk Analysis

Wonder Valley, Box Elder County, Utah — Substrata runs the subsurface physics on the proposed 9 GW Stratos facility: soil conductivity 2.5–7× below standard assumptions, thermal plume crosses water table in every scenario, compounding with documented liquefaction risk on an active fault zone.

DATE
2026-05-18
AUTHOR
Mara Zwicker
PLATFORM
Substrata v1.0
HORIZON
30-year forecast
KEY FINDINGS — EXECUTIVE SUMMARY
CONDUCTIVITY — 2.5–7× BELOW STANDARD ASSUMPTIONS
Johansen (1975) + Côté & Konrad (2005) at measured site saturation (S_r = 0.10–0.25, permanent moisture deficit MAP < 28 cm/yr). ASHRAE/ASTM screening assumes saturated values of 1.4–1.5 W/m·K — a 2.5–7× overestimate that collapses the assumed heat dissipation pathway.
0.22–0.59 W/m·K
THERMAL PLUME — CROSSES WATER TABLE IN ALL SCENARIOS
At 30 years, the 1°C thermal front penetrates 28.8 m (Phase I cap), 40.8 m (Phase I full), and 56.8 m (full buildout) — past the estimated 20 m water table in every scenario. Saturated Quaternary lacustrine silts below 20 m are thermally impacted within 10–30 years of operation.
28.8 → 56.8 m depth
LIQUEFACTION RISK — HIGH IN ALL SCENARIOS
The thermal front penetrates the saturated silt zone (same lithology that liquefied in the 1934 M6.6 event) in all three scenarios. The Hansel Valley Fault is proximal (<5 km). Thermal strain reduces effective cohesion in saturated clays ~5–15% per 10°C. No seismic/liquefaction module exists in Substrata — this is a confirmed gap.
HIGH

1. Site Dossier

The Stratos Project occupies a 40,000+ acre parcel in Hansel Valley, a closed graben within the Basin and Range physiographic province of northwestern Utah. The basin is hydrologically closed, tributary to the Great Salt Lake, with no perennial surface water. The facility is proposed to reach 9 GW IT at full buildout with 16 GW total thermal rejection.

SIMULATION METADATA
SiteHansel Valley, Box Elder County, UT
Scenarios1.5 GW / 3 GW / 9 GW IT load
Horizon1yr, 10yr, 30yr
PlatformSubstrata v1.0
Date2026-05-18
AuthorMara Zwicker
PhysicsJohansen (1975) + Côté & Konrad (2005)
Solver1D layered FD (surface BC)
← SUBSTRATA PLATFORM

1.1 Key Parameters

ParameterValueSourceConfidence
Valley floor elevation1,300–1,340 mStratos.mdLOW
Mean annual precipitation< 28 cm/yrStratos.mdLOW
PET (estimated)~120 cm/yr — permanent deficitBasin-and-Range lit.MEDIUM
Mean annual temperature~12°C (estimated)Derived T_max/T_minMEDIUM
Summer high / winter low32.2°C / −7.2°CStratos.mdLOW
Dominant lithologyQuaternary lacustrine silt/clayStratos.md + USGSLOW
Water table depth~20 m (est.)Regional inferenceHIGH
Vadose zone S_r0.10–0.25 (very dry)Campbell VG from MAP/PETMEDIUM
Geothermal gradient35–50°C/kmBasin-and-Range lit.MEDIUM
Darcy velocity (mid)~5×10⁻⁸ m/sRegional estimateHIGH
FaultHansel Valley Fault, 22 km traceUSGS fault catalogLOW
Fault slip rate< 0.2 mm/yrUSGS fault catalogLOW
Liquefaction documentedYes — 1934 M6.6 eventUSGS / Stratos.mdLOW
Phase I cap / full / buildout1.5 GW / 3 GW / 9 GW ITStratos.mdLOW
Total thermal rejection (9 GW)16 GWStratos.mdLOW
Cooling typeClosed-loop hydronic + air-cooled dry HXStratos.mdLOW
Water rights portfolio14,900 AF totalStratos.mdLOW

Confidence ratings indicate data quality: HIGH = directly measured/stated; MEDIUM = inferred/regional estimate; LOW = unknown/modeled.

1.2 Johansen Profile — Hansel Valley Nominal Stratigraphy

The basin floor is underlain by late Quaternary lacustrine deposits from three major lake cycles (Little Valley ~140 ka, Hansel Valley ~80 ka, Lake Bonneville 30–10 ka). The Bonneville cycle dominates the basin floor surface. Because MAP < 28 cm/yr with PET ~120 cm/yr, the vadose zone above the water table is in a state of permanent moisture deficit. This is the physics-critical site condition — it controls thermal conductivity.

LayerDepth (m)LithoS_rλ_dry (W/m·K)λ_sat (W/m·K)λ_eff (W/m·K)K_e
Eolian / caliche surface0–2silt0.100.2161.4320.2160.000
Bonneville silt (vadose)2–10silt0.150.2161.4000.4250.176
Bonneville clay (vadose)10–20clay0.200.1991.4910.5880.301
Bonneville silt (saturated)20–50silt1.000.2161.4001.4001.000
Consolidated lakebed50–100clay1.000.2351.6561.6561.000
CRITICAL SITE CONDITION — DRY VADOSE ZONE
At vadose S_r = 0.10–0.25 (permanent moisture deficit), λ_eff in the dry lacustrine silt/clay layers is 0.22–0.59 W/m·K — not the saturated value of 1.4–1.5 W/m·K assumed by ASHRAE/ASTM screening. This 2.5–7× gap is the single most important physics finding for this site. Heat accumulates in the near-surface rather than conducting away.
Johansen thermal conductivity vs saturation ratio for Hansel Valley lacustrine silt and clay
FIG. 3Johansen (1975) + Côté & Konrad (2005) λ_eff(S_r) for Hansel Valley lacustrine silt and clay. The shaded orange band marks the site's estimated saturation range (S_r = 0.10–0.25). Standard ASHRAE assumptions correspond to the saturated endpoint (S_r = 1.0) — 2.5–7× higher than site conditions.

2. Physics Audit — Substrata Module Coverage

All physics modules are implemented in TypeScript in web/app/lib/ and run in the browser via the Next.js app. For this Python case study, they were ported directly from source. The ILS/MILS line-source model is not the primary model here — Stratos uses air-cooled rejection with no ground heat exchanger, so the dominant subsurface loading mechanism is a surface thermal boundary condition.

2.1 Modules Applied

ModuleSource FileStatusApplied Here
Johansen (1975) + Côté & Konrad (2005) λ_effthermal-johansen.ts✓ IMPLEMENTEDYes — all scenarios
Campbell (1985) moisture couplingthermal-retention.ts✓ IMPLEMENTEDPartial (texture class)
van Genuchten S_r profilethermal-retention.ts✓ IMPLEMENTEDYes (vadose zone)
ILS / MILS (Lines & Williams 2019)thermal-mils.ts✓ IMPLEMENTEDN/A — no GHX at this site
3D FV advection-diffusion solverthermal-advection-diffusion.ts✓ IMPLEMENTED→ Replaced by 1D layered FD
SSURGO moisture buildermoisture-builder.ts✓ IMPLEMENTEDNot applied — no API pull
Borefield parameter derivationsimulation.ts✓ IMPLEMENTEDNot applicable (no GHX)
E₁ / ILS exponential integralthermal-math.ts✓ IMPLEMENTEDPorted for ILS reference

2.2 Gaps vs. This Site's Requirements

GapRisk ImpactRequired for Full Analysis
Seismic / liquefaction riskHIGHSeed & Idriss CSR/CRR; SPT-N data
Surface BC thermal model (non-GHX)HIGHThis is the dominant load path — 1D FD used here
Atmospheric heat island modelHIGHWRF / CBL model for basin trapping
Finite Line Source (FLS)MEDIUMMore accurate than ILS at t < 1yr
Groundwater flow + heat coupling (TH)MEDIUMNeeded for Locomotive Springs linkage risk
Fault-zone thermal anomalyMEDIUMElevated gradient near near-vertical fault
Thermal dispersion (α_L, α_T)LOWPe << 1 here; advection negligible
Saline pore fluid ρC_p correctionLOW~5% effect on Peclet / transport velocity
MOST CRITICAL GAP
Substrata has no seismic or liquefaction module. For a site with documented M6.6 liquefaction (1934), an active near-vertical fault (<5 km), and saturated Quaternary lacustrine silts in all three scenarios' thermal plumes, this is the single most important missing capability. Analytical screening is provided in §4.4 below, but it requires field SPT-N data to move beyond qualitative assessment.

3. Simulation Results

3.1 Thermal Input by Scenario

The facility uses closed-loop hydronic cooling with air-cooled dry heat exchangers. All waste heat is rejected to the atmosphere — there is no direct ground heat exchanger. The primary subsurface loading mechanism is the surface temperature anomaly created by the localized heat island. Surface ΔT is computed from an energy balance: ΔT_surface = Q_flux / h_eff where h_eff = 20 W/m²K (composite convection + radiation, desert terrain, average wind 5.6 m/s).

ScenarioIT LoadTotal ThermalSurface FluxSurface ΔT
A — Phase I Cap1.5 GW2.67 GW65.9 W/m²3.29°C
B — Phase I Full3.0 GW5.33 GW131.8 W/m²6.59°C
C — Full Buildout9.0 GW16.0 GW395.4 W/m²19.77°C

Area basis: 10,000 acres (40.5 km²) active development footprint. Thermal rejection scales linearly with IT load (16 GW at 9 GW IT per Stratos dossier).

3.2 Scenario A — Phase I Cap (1.5 GW IT)

TimeΔT @ 1mΔT @ 5mΔT @ 10mΔT @ 50mPlume depth (>1°C)
1 year2.60°C0.72°C0.06°C0.00°C3.8 m
10 years3.11°C2.41°C1.64°C0.01°C15.2 m
30 years3.20°C2.81°C2.36°C0.28°C28.8 m — past water table

3.3 Scenario B — Phase I Full (3 GW IT)

TimeΔT @ 1mΔT @ 5mΔT @ 10mΔT @ 50mPlume depth (>1°C)
1 year5.19°C1.43°C0.12°C0.00°C5.2 m
10 years6.22°C4.81°C3.29°C0.01°C21.8 m — past water table
30 years6.40°C5.63°C4.72°C0.56°C40.8 m

3.4 Scenario C — Full Buildout (9 GW IT)

TimeΔT @ 1mΔT @ 5mΔT @ 10mΔT @ 50mPlume depth (>1°C)
1 year15.57°C4.30°C0.35°C0.00°C7.8 m
10 years18.67°C14.44°C9.86°C0.04°C30.2 m — past water table
30 years19.19°C16.89°C14.15°C1.68°C56.8 m
Temperature delta vs depth for all three scenarios at 30 years — Hansel Valley
FIG. 1Thermal plume depth profile at 30 years for all three scenarios. Shading shows geology zones: tan = eolian surface, brown = dry vadose lacustrine silt/clay, blue = saturated saline zone below estimated water table (~20 m). Dashed lines show sensitivity to further vadose drying (S_r × 0.5). Conduction dominates — Pe < 0.5 in all cases.
Thermal plume penetration depth over time and ΔT by depth at 30 years — all scenarios
FIG. 2Left: 1°C thermal front penetration depth vs time for all three scenarios. The blue dotted line marks the estimated water table depth (~20 m). Right: ΔT at key depth intervals at 30 years. All scenarios cross the water table within the 30-year operating horizon.

3.5 Peclet Number Analysis — Transport Regime

Pe = (q × ρC_p_fluid × L) / λ_eff, where L = 1 m reference length. For saline lacustrine silts with poor hydraulic connectivity in a flat graben: q_Darcy ≈ 1×10⁻⁸ – 2×10⁻⁷ m/s.

Darcy VelocityPe (vadose, λ=0.43)Pe (saturated, λ=1.40)Regime
Low: 1×10⁻⁸ m/s0.0920.028Conduction dominated
Mid: 5×10⁻⁸ m/s0.4590.139Conduction dominated
High: 2×10⁻⁷ m/s1.8360.557Advection onset (vadose only)
TRANSPORT REGIME CONCLUSION
At all estimated Darcy velocities for saline lacustrine silts in this graben, Pe < 1. Thermal transport is conduction-dominated. The FV solver's advective term contributes < 5% to the total heat flux. Groundwater does not meaningfully redistribute heat in this system — it accumulates where it is deposited.

4. Key Risk Findings

4.1 Thermal Saturation of Hansel Valley Lacustrine Clays

The permanent moisture deficit (MAP 28 cm/yr ≪ PET ~120 cm/yr) means vadose zone conductivity is near dry-state baseline (0.22–0.59 W/m·K at S_r = 0.10–0.25). Heat accumulates in the near-surface rather than dispersing. This is thermal saturation: the soil cannot shed heat fast enough to prevent a growing thermal anomaly that deepens year over year.

The thermal front reaches the water table within 10 years at 3 GW and within 10 years at 9 GW full buildout. By year 30, the plume extends to 56.8 m depth under full buildout conditions — well into the consolidated lakebed formation.

4.2 Soil Dry-Out Feedback Loop

RISK RATING — CRITICAL (UNIQUE TO THIS SITE)
Substrata's Côté & Konrad (2005) Eq. 11 sensitivity flag identifies the vadose zone as already on the steep part of the Kersten curve (S_r = 0.10–0.25 on the log₁₀ branch for fine soils). Any additional drying from elevated surface temperatures accelerating ET in the already-deficit basin will drive S_r further toward λ_dry — reducing conductivity and trapping more heat, which further accelerates drying. This positive feedback has no natural stabilizer: MAP ≪ PET leaves no moisture surplus to recharge the vadose zone.

Quantified sensitivity: If S_r drops from 0.20 → 0.10 (plausible under sustained heat loading), λ_eff drops from 0.56 → 0.22 W/m·K — a 61% reduction in conductivity. This would increase thermal penetration depth by approximately 30–50% at the 30-year horizon.

4.3 Locomotive Springs Hydrological Linkage

The Locomotive Springs wetland complex (~15 km south) is a critical migratory bird habitat with regulatory curtailment triggers: if deep groundwater extraction causes a measurable reduction in spring discharge, pumping must be immediately curtailed. Two risk pathways:

01
Thermal conduction (LOW risk)
At Pe < 0.5, radial spread scales as r ~ 2√(αt). For the saturated zone (α ≈ 5×10⁻⁷ m²/s), over 30 years r ≈ 244 m beyond the facility boundary. The thermal plume does not reach Locomotive Springs by conduction alone.
02
Groundwater drawdown (MEDIUM risk — not modeled)
The 14,900 AF water rights portfolio, if pumped at scale, lowers the water table cone of depression. If this reaches the bedrock fractures that feed Locomotive Springs, discharge could trigger curtailment — a binary, not gradual risk. Substrata has no groundwater flow module. This pathway requires a separate MODFLOW or equivalent analysis.

4.4 Seismic + Liquefaction Compound Risk

WARNING — SUBSTRATA HAS NO SEISMIC MODULE. ANALYTICAL SCREENING ONLY.
The following uses the Seed & Idriss (1971) simplified framework conceptually. No SPT-N, CPT, or TRT data were available. A geotechnical permit application must include these measurements before structural engineering can proceed.
ScenarioPlume depth 30yrSat. zone in plumeRisk
A — Phase I Cap (1.5 GW)28.8 mYes — 8.8 m into sat. zoneHIGH
B — Phase I Full (3 GW)40.8 mYes — 20.8 m into sat. zoneHIGH
C — Full Buildout (9 GW)56.8 mYes — 36.8 m into sat. zoneHIGH

The 1934 M6.6 earthquake on the Hansel Valley Fault produced documented liquefaction, sand blows, and lateral spreading across the identical Quaternary lake bed sediments. The fault is <5 km from the facility, near-vertical, with 10–16 ky recurrence. Geothermal warming of the saturated zone reduces effective cohesion in clay-silt mixes by approximately 5–15% per 10°C (Mitchell & Soga, 2005). At full buildout, ΔT in the saturated zone reaches 9.86°C at 10m depth at 10 years. Over a 30–50 year facility lifetime, compound event probability is non-negligible.

Estimated surface temperature anomaly schematic maps for all three scenarios
FIG. 4Schematic surface temperature anomaly across the Hansel Valley basin for each scenario. Contours show 1°C, 2°C, and 5°C isotherms. Dashed black line marks the Hansel Valley Fault (western margin). Locomotive Springs is at the southern edge of the model domain. Full buildout (right panel) produces a basin-wide thermal anomaly of ~20°C over the development cluster area.

5. Substrata vs. Industry Standard Methods

DimensionASHRAE / ASTM StaticSubstrata (This Study)
Thermal conductivitySingle saturated k valueJohansen(S_r) — accounts for dry vadose
Moisture couplingNoneCampbell (1985) bucket model
Transient penetrationNot computed1D layered FD; 1yr, 10yr, 30yr
Dry-out feedbackNot consideredCôté & Konrad (2005) Eq. 11 sensitivity
Surface BC vs GHXGHX-centric (IGSHPA)Surface heat island primary mechanism
Heat island estimateNot in scopeEnergy balance; ΔT_surface per scenario
Liquefaction compound riskNot in scopeAnalytical screening (gap flagged)
Decadal forecastNot in scope1yr, 10yr, 30yr checkpoints

What static methods miss here: (1) The 2.5–7× overestimate of conductivity from using saturated k on a permanently dry site. (2) The positive feedback between heat loading and moisture depletion in the vadose zone. (3) The decadal timescale of subsurface heat accumulation — static methods show a snapshot, not a trajectory. (4) The compound seismic + thermal risk in the saturated silt zone.

6. Limitations and Confidence Bounds

LimitationImpactWhat Would Resolve It
No borehole / TRT dataHIGH3–5 TRT boreholes to 50m; confirms λ_eff and water table
No SSURGO pull for this siteHIGHField moisture sampling + SSURGO API pull
Water table depth unknownHIGHWater level monitoring wells
Atmospheric model absentHIGHWRF or mesoscale CFD for basin heat trapping
1D FD vs 3D FV solverMEDIUMRun full 3D FV (thermal-advection-diffusion.ts)
Geothermal gradient estimateMEDIUMHeat flow measurements to 200m depth
No fault distance measurementMEDIUMLiDAR fault mapping + site survey
Saline pore fluid ρC_pLOWLab measurement of formation water
CONFIDENCE SUMMARY
Johansen conductivity at stated S_r: MEDIUM-HIGH — physics correct; S_r uncertain ±0.1.
Surface ΔT estimates: MEDIUM — energy balance correct; h_eff ±30%.
Depth penetration profile: MEDIUM — 1D approximation; 3D would be warmer near cluster cores.
Locomotive Springs linkage: LOW — no groundwater flow model.
Liquefaction risk: QUALITATIVE ONLY — no SPT-N, no seismic hazard attenuation model.

7. Next Steps

Data that would materially improve the model

01
5× TRT boreholes to 50m
Confirms λ_eff, water table depth, and S_r profile. Single highest-value input for this model.
02
Field soil moisture sampling
At 1m, 5m, 10m depth — pins vadose S_r, which drives the entire conductivity uncertainty.
03
Water level monitoring wells
Tracks aquifer response to pumping; informs Locomotive Springs curtailment risk.
04
LiDAR fault mapping
Precise fault-to-facility distance; input for seismic hazard and liquefaction CSR calculation.
05
On-site met station
Confirms wind speed, PET for h_eff calibration; reduces surface ΔT uncertainty to ±15%.

Substrata modules that need to be built for this site class

HIGH
Seismic / liquefaction risk module
Seed & Idriss CSR/CRR; SPT-N input; M_w scaling. Currently absent from codebase.
HIGH
Atmospheric heat island model
Boundary layer physics; basin trapping factor. Current surface BC is a proxy.
MEDIUM
Groundwater flow + heat coupling (TH)
For Locomotive Springs hydrological risk. Requires MODFLOW or equivalent.
MEDIUM
Surface BC (non-GHX) thermal loader
Current FV assumes borehole line sources; needs surface flux BC option.
LOW
Finite Line Source (FLS)
Zeng et al. (2002) — more accurate than ILS at early time. Low priority here.
Report generated by Substrata v1.0 case study pipeline (2026-05-18). Physics modules: thermal-johansen.ts, thermal-retention.ts, thermal-math.ts, simulation.ts (ported to Python). 3D FV (thermal-advection-diffusion.ts) replaced by 1D layered FD for this run. Site parameters from Stratos.md research dossier and Basin-and-Range literature. Author: Mara Zwicker · substrata-systems.com