Surrogate-accelerated coupled physics

Coupled-physics geothermal design, at interactive speed.

Terra Multiphysics pairs a validated thermo-hydro-mechanical finite-element engine with an AI surrogate, turning hours of simulation into real-time design for energy piles and borehole heat exchangers.

New v1.1 — AI surrogate + pile-field interference

One application carries the whole coupled workflow — geometry, mesh, a thermo-hydro-mechanical solve, an AI surrogate, and 3-D results — on your desktop, no cloud required.

How it fits together

One pipeline, from geometry to a sized ground loop

A purpose-built physics engine, a guided interface, and an AI layer that makes the whole thing real-time.

Terra Multiphysics system architecture and workflow Finite-element pipeline — geometry builder, translator, Fortran coupled THM solver, then 3-D post-processing — with an optional Python AI acceleration layer trained on solver runs. Terra Multiphysics: Architecture & Workflow Coupled thermo-hydro-mechanical finite-element solver for geothermal energy piles & borehole heat exchangers, with AI acceleration core engine AI layer (optional) Geometry builder own CAD geometry + mesher geometry · mesh · pipes · BCs Translator Terra_Trans.exe decks → native solver input THM Solver Terra.exe · Fortran coupled Newton–Raphson FE engine Post-processing interactive 3-D viewer outlet T · fields · design Inside the engine: Terra.exe (Fortran, statically linked, no external FE libraries) Monolithic Newton–Raphson 17 constitutive laws Embedded 1-D pipe network Custom banded / sparse solvers trained on ~200 coupled solver runs AI Acceleration Layer: Python, optional Gaussian-process surrogate ~1,000,000× faster · <1 ms Pareto design optimizer Natural-language copilot Offline web demo HTML5 Windows 10/11 (x64) · standalone app Fortran · Python · JavaScript
Application gallery

Validated models, ready to study

One coupled solver and surrogate, across the ground-loop systems that matter — most shown as real finite-element fields, checked against measured or reference data.

Validation references — energy pile: Faizal, Bouazza & Singh (2016), Geomechanics for Energy and the Environment 8, 8–29. Heating test: Laloui, Nuth & Vulliet (2006), Int. J. Numer. Anal. Methods Geomech. 30(8), 763–781. Ground heat recovery cross-validated against COMSOL Multiphysics 6.3.

Browse the gallery →

Validation

Validated three ways

Cross-validated against COMSOL, instrumented field data, and closed-form analytical theory.

985,000×
vs a full FEM solve
0.08–0.38 °C
vs COMSOL
R² 0.9997
held-out accuracy
0.30–0.42 °C
vs instrumented field data

See the full validation →

Latest updates

What's new

June 2026

v1.1 released

The AI surrogate, pile-field interference, and seasonal loads ship in one application.

June 2026

Surrogate validated

0.009 °C mean error across 200 held-out coupled solves, at R² 0.9997.

June 2026

Pile-field interference

Overlapping thermal plumes in dense fields, resolved where a spreadsheet cannot.

Put full-physics geothermal design on every desk

We're onboarding early-access design partners now — tell us what you're working on.

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