Reserve calculation method
(8) Contour method
It is a method of calculating reserves using the contour of a certain indicator. There are two main types:
1. Coal thickness contour method (Figure 2-8-22)
The essence of the law is to treat a coal body with a large thickness and an irregular bottom surface as a geometric shape with a flat bottom surface and a complex top surface. It is like a topographic map of a mountain, dividing the coal body into a series of equal thick blocks. The reserves of the entire coal seam can be obtained from the reserves of each segment. The formula for calculating the volume of the entire coal body is:
Where, So is the area enclosed by the zero boundary line (or the lowest recoverable boundary line); S1, S2, ... S (the area controlled by the equal thickness lines 1, 2, ..., n, respectively, where S„ is coal The bottom area of ​​the last cone that the body can form; h is the spacing of the equal thickness lines; h0 is the height of the last cone formed by the coal body, with the convexity being positive and the concave being negative.
Multiplying the volume of the entire geometry by the average bulk density of the coal is the total reserve.
Sopolevsky
Use a transparent grid to cover the contour map of the coal seam, as shown in Figure 2-8-23, the thickness of the coal seam at the small center of each small square (determined by the equal-line interpolation method), ie Representing the average thickness of the inner coal seam in a small square, then:
Where ΔSo is the area of ​​the first small square; n is the number of small squares.
Figure 2-8-23 Sopolevsky method for volumetric grid method
The volume of the coal seam multiplied by the bulk density is the reserve of the coal seam. Here AS$ is a constant, so the main job of this method is to find the h value in each small square.
To apply this method, it is necessary to pay attention to some incomplete small squares, which are processed by the method of calculating the area by using the square grid described above.
The advantage of the contour method is that it can clearly and intuitively reflect the distribution characteristics of the coal seam structure, morphology and other factors, but it requires complicated drawing and calculation, is not easy to check, and has a narrow application surface. It is mainly used in mining areas with simple structure, gentle production, no fracture and large scale, and considerable variation of coal seam thickness. At the same time, the engineering density is required to ensure the correctness of various factors of coal seam.
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