Mining Ore Recovery Rate, Tailings Ratio & Grade Mass Engine

Mineral Processing & Extractive Metallurgy: The Two-Product Formula

In mineral dressing (froth flotation, gravity separation, magnetic separation, and leaching), ore is separated into high-value concentrate and barren tailings:

• The Two-Product Mass Conservation Principle:

• Mass of Ore In = Mass of Concentrate Out + Mass of Tailings Out).

• Metal Mass In = Metal Mass in Concentrate + Metal Mass in Tailings).

• Recovery vs. Grade Trade-off: As operators adjust reagents to push concentrate grade higher (e.g. from 24% to 30% Cu), metallurgical recovery rate typically declines because more fine mineral particles are lost to tailings.

• Tailings Storage Facilities (TSF): Because typical base metal ores have head grades below 1%–2%, over 95% to 99% of all mined rock volume ends up in tailings management facilities.

How to Use This Calculator

Enter your Run-of-Mine (ROM) Plant Feed Throughput (Tons / day) (e.g. 25,000 (25,000 tons/day milling capacity)), Feed Ore Head Grade (f [% metal content]) (e.g. 0.85 (0.85% Cu copper head grade)), Final Concentrate Product Grade (c [% metal]) (e.g. 28.0 (28% Cu flotation concentrate)), Tailings Waste Reject Grade (t [% metal lost]) (e.g. 0.07 (0.07% Cu tailing reject grade)), Refined Metal Commodity Market Price ( / lb) (e.g. 4.20 (4.20/lb copper or 85.00/lb nickel/lithium)), and Smelter / Refinery Payable Metal Recovery (%) (e.g. 95 (95% net payable metal terms)). Results update instantly as you type — adjust any value to compare scenarios.

The Formula

Extractive Metallurgy Two-Product Mass Balance equations:

Ratio of Concentration (K) = (c - t) / (f - t)

Concentrate Mass (C) = (Feed Mass (F)) / (K)

Tailings Waste Mass (T) = F - C

Metallurgical Recovery Rate (R \%) = [(c (f - t)) / (f (c - t))] × 100\% = ((C · c) / (F · f)) × 100\%

Daily Payable Metal Revenue = (C · c · 2000 lbs/ton) × Payable \% × Price/lb

Worked Example

For example, processing \ with head grade producing concentrate grade \ and tailings waste grade \ with copper at \ and 95.0\% smelter terms: Ratio of concentration is . Metallurgical recovery is 91.99\%. The concentrator produces 698.17 tons/day of copper concentrate and 24,301.83 tons/day of tailings (97.21% mass), generating \1,560,000.00/day in gross payable copper revenue.

Understanding Your Result

Percentages are relative values — context determines what is "good" or "bad." A 50% discount is significant; a 50% failure rate is alarming. Percentage change and percentage points are different: moving from 4% to 5% is a 1 percentage point increase, but a 25% relative increase. When comparing percentages across different base values, always check whether absolute differences are meaningful — a 10% improvement on a large base creates more absolute value than 10% on a small base.