Buildings & infrastructure · START WITH SOMETHING FAMILIAR
A concrete wall
What can move through a seemingly solid material?
The wall joins aggregate with a hydrated binder. Water in connected pores can transport dissolved species even though the material looks solid. A selected diffusion coefficient explores one transport consequence; it cannot establish the wall’s composition, curing quality or damage. A real inspection would connect observations to a named mixture and location.
For the named chemistry example, tricalcium silicate, Ca₃SiO₅, reacts with water and forms calcium silicate hydrate and calcium hydroxide. Calcium and silicon belong to compounds; there are no droplets of elemental calcium or silicon inside the binder.
A bounded diffusion profileDrag to rotate · scroll or pinch to zoom
Exposed surface: C/Csurface = 1Depth 1.25 mm · C/Csurface 0.719Depth 3.75 mm · C/Csurface 0.281Depth 6.25 mm · C/Csurface 0.0723Depth 8.75 mm · C/Csurface 0.0119Depth 11.25 mm · C/Csurface 0.00122Depth 13.75 mm · C/Csurface 0.0000770Depth 16.25 mm · C/Csurface 0.00000298Depth 18.75 mm · C/Csurface 7.02e-8Depth 21.25 mm · C/Csurface 1.00e-9Depth 23.75 mm · C/Csurface 8.62e-12Depth 26.25 mm · C/Csurface 4.47e-14Depth 28.75 mm · C/Csurface 1.40e-16
Inspect the structure; select a site or component for its label.
What this representation means
Assumed transport coefficient and fixed surface concentration; initially zero interior concentration. No reactions, binding, convection, finite back face or aging. This does not predict a concrete structure’s service life.
The concentration is prescribed at the exposed surface and falls with depth. Increasing elapsed time or D spreads this ideal profile farther into the material. A diffusion length is not a crack depth or a failure boundary.
What this model can establish
Assumed transport coefficient and fixed surface concentration; initially zero interior concentration. No reactions, binding, convection, finite back face or aging. This does not predict a concrete structure’s service life.
Authored design scenario: A trial low-water concrete wall mixture is prone to early shrinkage cracking. The team can redesign the aggregate blend before casting.
The job to be done
Choose a candidate that addresses internal water availability.
Mixture-specific trials must check workability, cracking and transport.
No construction specification or service life is supplied.
Which chemical forms matter?
Hydrogen in absorbed H2O
A distributed supply for hydration
Calcium in cement hydration products
Part of the developing binder
Silicate units in hydrated binder
Part of the load-bearing solid
Change the situation
Why could a nominally dense concrete still transport salts quickly after cracking?
Transport across scales
NIST’s bridge work connects internal curing with reduced early cracking and pathways by which deicing salts reach reinforcing steel.