Weighted-average-grade (WAG) Stockpiles

WAG Stockpiles with no Analyte Balancing

WAG stockpiles consider stacked and reclaimed quantity. If analyte balancing is not enabled, only stacked analyte quality is considered.

Example: A mine has the following stockpiles:

  • MS-1—Mine Source stockpile 1 has Cu=25%, H2O=10% and has ABC Mining as a 100% contributor.
  • MS-2—Mine Source stockpile 1 has Cu=20%, H2O=5% and has Diversified Mining as a 100% contributor.
  • WAG—Run of Mine (ROM) stockpile starts with 0 tonnes of material.
  • PROD—Production stockpile starts with 0 tonnes of material.

The following transactions take place:

  1. 5000 tonnes is stacked onto WAG from MS-1.
  2. 5000 tonnes is stacked onto WAG from MS-2.
  3. 7500 tonnes is reclaimed from WAG and stacked onto PROD.

The following table displays the transaction history of the WAG (unbalanced) stockpile.

Sequence

Mass

Balance

Cu %

Cu (t)

H2O%

ABC Mining

Diversified Mining

1

5,000.00

5,000.00

25.00

1,125.00

10.00

5,000.00 (100.00%)

2

5,000.00

10,000.00

22.43

2,075.00

7.50

5,000.00 (50.00%)

5,000.00 (50.00%)

3

7,500.00

2,500.00

22.43

518.75

7.50

1,250.00 (50.00%)

1,250.00 (50.00%)

WAG Stockpiles with Analyte Balancing

WAG stockpiles consider stacked and reclaimed quantity. If analyte balancing is enabled, both stacked and reclaimed analyte quality is considered.

Important: Analyte balancing should only be used if accurate sample data is available for both stacking and reclaiming transactions.

Example: A mine has the following stockpiles:

  • MS-1—Mine Source stockpile 1 has Cu=25%, H2O=10% and has ABC Mining as a 100% contributor.
  • MS-2—Mine Source stockpile 1 has Cu=20%, H2O=5% and has Diversified Mining as a 100% contributor.
  • WAG—Run of Mine (ROM) stockpile starts with 0 tonnes of material.
  • PROD—Production stockpile starts with 0 tonnes of material.

The following transactions take place, and the material in each transaction is sampled:

  1. 5000 tonnes is stacked onto WAG from MS-1. Sampling returns values of Cu=23% and H2O=9.5%.
  2. 5000 tonnes is stacked onto WAG from MS-2. Sampling returns values of Cu=18% and H2O=6%.
  3. 7500 tonnes is reclaimed from WAG and stacked onto PROD. Sampling returns values of Cu=20.6% and H2O=7.5%.

The following table displays the transaction history of the WAG (balanced) stockpile.

Sequence

Mass

Balance

Cu %

Cu (t)

H2O%

ABC Mining

Diversified Mining

1

5,000.00

5,000.00

23.00

1,040.75

9.50

5,000.00 (100.00%)

2

5,000.00

10,000.00

20.45

1,886.75

7.75

5,000.00 (50.00%)

5,000.00 (50.00%)

3

7,500.00

2,500.00

20.01

457.62

8.50

1,250.00 (50.00%)

1,250.00 (50.00%)

Analyte Quality Relevance on WAG Stockpiles

The relevance percentage indicates the proportion of a WAG stockpile's mass for which analyte sample values are known:

Relevance = Sum of transaction masses with known analyte sample values / Stockpile Mass

The relevance of analyte sample values displays in a tooltip over the analyte sample value on the Activity tab of the WAG Stockpile screen. The tooltip displays two values:

  1. The relevance of the sampled analyte value to the total mass of the WAG stockpile, and the sample result type. For example, a relevance of Rapid (50%) indicates that the analyte value entered via a Rapid sampling template is relevant to 50% of the stockpile mass.
  2. The percentage of the mass that has been sampled.

Impact of Relevance on WAG Calculation

A standard calculation of the weighted-average grade is:

Weighted Average = Sum (Analyte Value * Mass ) / Sum (Mass)

However, the calculation of the mass of analytes in WAG stockpiles includes the relevance of the analyte sample values. The formula used is:

Weighted Average = Sum ( Analyte Value * Mass * Relevance) / Sum ( Mass * Relevance)

Note: Billboards use the standard calculation of the weighted-average grade.

Example of relevance calculation: A stockpile has 100 t of coal. The stockpile has not been surveyed; therefore, the Ash value is unknown.

  1. A loading (stacking) transaction is made of 100 t of coal, which has been sampled at 10% Ash with 100% relevance. After the transaction, the stockpile has 200 t coal at 10% Ash with 50% relevance. The 10% Ash value is relevant to 50% of the total mass on the stockpile.
  2. A second loading transaction is made of 50 t of coal, which has been sampled at 10% Ash with 100% relevance. After the transaction, the stockpile has 250 t coal at 10% Ash with 60% relevance. The 10% Ash value is relevant to 60% of the total mass on the stockpile.