Water balance: where water enters and leaves
Every stream of water into a plant and out of it — leach make-up, wash, reagent, product moisture, evaporation, residue, bleed — and why the balance either closes or the circuit accumulates. The recycle loops that hold it.
The idea
A hydrometallurgical plant is, among other things, a water-handling plant. Water carries the chemistry, the solids and the heat, and a plant that cannot account for its water cannot account for anything dissolved or suspended in it. The water balance is the bookkeeping that says where every stream of water comes from and goes to — and whether, over a steady period, what comes in equals what goes out. When it does not, the circuit either floods or runs dry, and both stop the plant.
Where water enters
Water comes into the circuit at several points. Leach make-up and reagent solutions bring it; wash water added on the solid–liquid separation circuit brings a great deal of it; gland service, flocculant make-up and reagent dilution add more; and in an open circuit, rainfall and run-off onto the residue facility can be a large and uncontrolled input. Each of these is metered or estimated, and together they are the supply side of the ledger.
Where water leaves
Water leaves in fewer but larger streams. It departs as moisture in the product and, far more, as moisture in the residue or tailings — the liquor the washed solids carry away, which is also a soluble-value loss as the washing module showed. It leaves by evaporation, from ponds, thickeners and hot streams, a loss that can dominate in an arid climate. And it leaves through a deliberate bleed — a stream taken out of a recycle loop to stop a dissolved impurity building up without limit. The bleed is the relief valve of the water and impurity balance together.
Why it closes, or accumulates
A circuit recycles water aggressively, because fresh water costs money and every litre recycled is a litre not bought and not discharged: thickener overflow returns as process water, filtrate returns to leach, pond water is reused. But recycling concentrates whatever does not leave with the water — dissolved salts, fine solids, heat — so a closed loop without a bleed accumulates them until something fails. The art of the water balance is closing it tightly enough to minimise fresh-water draw while bleeding enough to keep the recycled streams usable. The balance is built from the same single-stream mass balances the slurry module taught, summed over the plant: the slurry mass balance splits each stream into solids and liquor, the thickener water-recovery calculation says how much water a thickener returns to the loop, and the dilution relation sizes the make-up water a stream needs. The worked thread runs the thickener case, the single largest water-recovery step in most circuits.
Diagram
Now run it
- Thickener water recovery calculator →Calculator
Estimate the process water a thickener returns to the recycle loop from the dry solids rate and the feed and underflow percent solids — the largest single water-recovery term in most balances.
- Slurry mass balance calculator →Calculator
Split a slurry stream into solids and liquid mass flows — the per-stream balance the plant water ledger is summed from.
- Dilution calculator →Calculator
Solve C₁V₁ = C₂V₂ for the make-up water a stream needs to reach a target strength — the make-up term on the supply side of the balance.
Worked thread
The biggest single water-recovery term in most circuits is the clarified overflow a thickener returns to the recycle loop. The thickener-water-recovery calculator’s committed example quantifies it: how much water a feed releases when it is thickened to a denser underflow.
- 01A thickener treats 100 t/h dry solids; feed 20 wt% solids, underflow 55 wt% solids; liquid density 1000 kg/m³.
- 02Feed slurry = 100 / 0.20 = 500.00 t/h, so feed liquid = 400.00 t/h.
- 03Underflow slurry = 100 / 0.55 = 181.82 t/h, so underflow liquid = 81.82 t/h.
- 04Recovered water = 400.00 − 81.82 = 318.18 t/h ≈ 318.18 m³/h at 1000 kg/m³.
- 05Water recovery = 318.18 / 400.00 × 100 = 79.55% of the feed water.
The thickener returns 318.18 t/h (≈ 318.18 m³/h) of process water to the recycle loop — 79.55% of the water in its feed — the dominant recovery term in the plant water balance.
thickener-water-recovery calculator committed worked example (100 t/h solids, 20→55 wt%, 1000 kg/m³).
Sources
- •Free, M.L., Hydrometallurgy: Fundamentals and Applications, 2013.
- •Wills, B.A. & Finch, J.A., Wills’ Mineral Processing Technology, 8th ed., 2016.
- •Gupta, C.K. & Mukherjee, T.K., Hydrometallurgy in Extraction Processes, 1990.
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