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Validated energy-pile caseReal solver outputApplication case 01 · Thermal response and layout screening

Energy Geostructures

Pipe circuits, concrete and layered ground - one coupled model

Energy piles, borefields and underground thermal storage, modelled as built: embedded 1-D pipe circuits inside native 3-D finite elements, replayed from recorded solver states.

Recorded energy-pile film showing the layered soil cylinder, embedded pipe circuit coloured by fluid temperature, and the cooling field over 20 days. It replays 12 recorded solver states without temporal interpolation.

Case record

Energy-pile replay
12 recorded states
Evidence geometry
Native mesh sections
Layout search
8,008 evaluated layouts
Collector replay
102 states · 48 hours

One case, viewed at its natural scale

Each result starts from a still recorded state. Animation loads only when requested, and every figure keeps its original ratio so axes, legends and colour scales remain in view.

Day-20 near-field energy-pile view with native solid facets and embedded pipe circuit

A-01

Energy-pile response

The cooling front develops around the pile while the embedded LINE2 circuit and pipe-temperature profile remain visible in the same recorded view.

Record
12 solver states
View
Fixed
Scale
Fixed temperature
Method

Twelve recorded solver states are replayed at a fixed view and fixed temperature scale. No temporal interpolation.

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Comparison pair

Horizontal and full-depth sections

Day-20 horizontal temperature sections through four soil layers

A-02

Layer-resolved horizontal sections

One section per soil layer combines fixed 6, 10 and 15 °C isotherms with six temperature-coloured pipe intersections.

Sections
4 soil layers
Isotherms
6 / 10 / 15 °C
Pipe cuts
6 per layer
Method

Each panel is an exact plane cut through the native mesh, not an interpolated grid. No temporal interpolation.

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Day-20 full-depth orthogonal temperature sections through the energy pile

A-03

Orthogonal full-depth sections

Two orthogonal sections follow the pile and surrounding ground across the complete vertical model domain.

Cuts
x = 0 / y = 0
Depth
Full domain
Pipe lines
Centreline projections
Method

The x = 0 and y = 0 cuts use the native mesh. Coloured pipe lines are orthogonal centreline projections, not co-planar section data. No temporal interpolation.

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Screening evidence

Design optimisation

Certified optimal six-of-sixteen pile activation layout in 3-D and plan views of the screening field

A-04

Multi-pile activation-layout search

All 8,008 six-of-sixteen activation layouts on the 4 × 4 pile grid are evaluated at the 25-year horizon.

Layouts
8,008
Selection
6 of 16 piles
Horizon
25 years
Result
Certified optimum
Method

Exact enumeration certifies the optimum. Simulated annealing independently recovers a degenerate optimum.

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Screening boundary

A-04 uses pairwise infinite-line-source interference. It is a screening model, not a solved finite-element thermal field.

Exact-state replay

Horizontal ground collector

Recorded horizontal ground-collector state with a fixed soil temperature-change scale, separate pipe-temperature scale and serpentine collector at depth

A-05

Two-day collector duty cycle

The collector cools the shallow ground through a 48-hour heat-pump duty cycle while soil and pipe temperatures retain separate fixed scales.

Record
102 recorded states
Replay
28 exact states
Mesh
6,057 nodes · 33,297 tetrahedra
Collector
582 ordered nodes · 199.7 m
Method

The replay indexes stored Terra states directly. Soil ΔT is Tinitial - Tstate on a fixed 0 to 4 K scale; pipe temperature uses a separate -3.2 to +1.0 °C scale. No temporal interpolation.

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