How To Find The Area Of A Polygon Formula Reserves Estimation

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Reserves Estimation

In the CGS system, metric tons are calculated by multiplying the specific weight of the economic mineral by the total volume in cubic meters. In the FPS system, the total volume in cubic feet must be divided by the tonnage factor. The tonnage factor represents the number of cubic feet in a ton of ore. The Tonnage factor can be calculated using the formula: 2240 / 62.5Xg cubic feet, where ig is the specific gravity of the ore.

The total resources in the area can divide the volume by the ton factor. Weight calculations must be taken into account due to the presence of pore spaces, fractures, and holes in the ore bodies.

To estimate reserves, the first step is planning to divide the area of ​​the mineral deposit into the number of ore reserve blocks. On a plan sheet, each drill hole or hole is a unit.

For each block, the area of ​​impact must be calculated. The volume can be found by multiplying the area with the actual width of the ore body. The attitude of the deposits determines the method of calculating the area.

The total tonnage can be calculated by adding the tonnage in the individual blocks. The grade point average (A) is given by the formula:

T1A1+T2A2+T3A3… T10A10/ T1+T2+T3… T10

If 10 reserved ores are present in the deposit and each ton is considered as, T1,T2,T3, and the grades are represented by A1, A2, A3.

There are mainly two ways to find the location of blocks like 1. Geometry, and 2. Graphic.

The included area method, the extended area method, the triangle method, and the polygon method fall under the former category. In the last category, there are isochore map method, stratum contours, cross section method.

Before using any method, mineralized areas must be classified based on geological information of the area such as ore continuity, structural features, color, etc.

If drill holes or holes are drilled in a grid pattern, the joint position method is highly recommended. In this method, the area of ​​impact and therefore the weight in the central holes or drilling holes is doubled and four times in the sides and corner corners. All blocks have an equal area of ​​influence in the extended area. The triangle and polygon methods are mainly used for non-grid pattern sampling points.

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