Sample calculation

The calculation of the sampling is one of the important contents of the sampling design. The specific sampling points and the distribution of the sampling weight of each sampling point are all calculated by the matching calculation. There are two methods for matching calculations: repeated increase and decrease calculation and optimized sample calculation. The general procedure for the repeated increase and decrease of the calculation method is as follows: (1) Determine the number of taken ore samples. According to the requirements of the ore dressing test on the number of test ore samples, the number of mined samples is determined. (2) Determine the weight of the mined sample. According to the weight of the test ore sample required by the beneficiation test, and considering the amount of shipment required for the loss of the shipment, the processing and consumption of the processing, and the final sample and shrinkage requirements, the weight of the ore sample is determined. Table 1 K value of various ores

Ore type	K value	Ore type	K value	Ore type	K value
Ore iron ore (Hu uniform distribution) of manganese ore copper chromite ore Ni ore (sulfide ore) Ni ore (silicates) cobalt molybdenum ore lead ore, zinc ores mercury antimony ore ores of tungsten ores and gold-tin ores (particles < 0.1mm)	0.1-0.2 0.05 0.1-0.2 <(0.25-0.3) 0.1-0.5 0.2-0.5 0.1-0.3 0.2-0.5 0.1-0.5 0.2 >(0.1-0.2) >(0.1-0.2) 0.1-0.5 0.2 0.2	Gold (particles <0.6mm) gold (particles> 0.6mm) rare earth ore of tantalum, niobium ore zirconium, lithium, beryllium, cesium, rubidium, scandium ore mining phosphate rock sulfur natural magnesite dolomite limestone and sulfur, boron ore fluorite kaolin clay mine	0.4 0.8-1.0 0.2 0.2 0.2 0.1-0.2 0.1-0.2 0.05-0.3 0.2 0.05-0.1 0.05-0.1 0.05-0.1 0.1-0.2 0.1-0.2 0.1-0.2	Bauxite bauxite (non-uniform) Talc graphite mine ore alum gypsum mine barite ore arsenic (homogeneous) barite (non-uniform) chrysotile quartz feldspar mineral salts (homogeneous) ore	0.1-0.3 0.3-0.5 0.1-0.2 0.1-0.2 0.2 0.2 0.2 0.1 0.2-0.5 0.1-0.2 0.2 0.1-0.2 0.1-0.2 0.1-0.2

Note: The more complex the ore, the lower the useful mineral content, the coarser the inlay size, the greater the density, and the more uneven the distribution. At this time, K takes a large value, and vice versa. The lower limit of the weight of the ore sample is generally: 1) For the optional test, not less than 2 times the weight of the test sample; 2) For the laboratory process test, it can be calculated as follows: Q=Kd ² where Q— The minimum weight of the ore sample (specific representative), kg; d—the largest particle size in the ore sample, mm; the K-ore property coefficient, the type of ore, the useful mineral content, the size of the inlay, the uniformity of the density and distribution, etc. related. The K value should be obtained by the test method, and the data in Table 1 is for reference. 3) For the laboratory to expand the continuous test, it should be less than 1.2 times the weight of the test ore and be checked by the formula; 4) For the semi-industrial test and industrial test, it should be no less than 1.2 times the weight of the test sample. (3) Determine the factors that need to be controlled by sampling. According to the industrial grade, ore type, structural structure, embedded grain size and characteristics of the various ores in the same ore sample, the average grade and grade fluctuation characteristics of the main components, and the content of the associated components. And different characteristics such as distribution. And its possible impact on the beneficiation test, summarizing the control factor table when taking the ore sample, in order to determine the interval of different grades from various ores, drafting a control factor table for taking ore samples, in order to determine different from various ores. The sampling interval is selected from the range of the grade; for example, the rocking properties of the roof, the bottom plate and the stone layer which are closely related to the ore body are summarized, and the control factors of the rock sample are summarized to determine the taking point of the rock sample. (4) Calculate the weight taken for the sample with the sample point. Calculate the proportion of reserves in different grades of ore according to sampling control factors, and calculate the weight of the ore sample to be taken at each sampling point. (5) Adjust the average grade of the main components of the ore sample. According to the sampling points initially selected by different grade intervals and the weight of the assigned ore samples, the average grade of the main group of all ore samples was calculated by weight weighting method. If the difference between this grade and sampling requirements is large, the adjustment can be recalculated by changing the position of some sampling points or changing the weight of some sampling points. This is repeated several times until the average grade of the main sample analysis of the ore sample meets the sampling requirements. (6) Adjust the average grade of the associated components of the ore sample. According to the above-mentioned determined sampling points and the taking weight of each sampling point, and based on the grades of the associated beneficial and harmful components of each sampling point, the average grade of the associated components of all the ore samples is calculated by the weight weighting method. If the difference between the grade and the sampling requirement is large, the weight of some sampling points can be appropriately adjusted to achieve an average analysis of the important associated groups under the premise of ensuring that the average grade of the main components of the ore sample meets the sampling requirements. The grade is essentially consistent with the average grade of the associated components within the sampling range. (7) The above is the general procedure for the sampling design to increase and decrease the matching calculation method. It should also be noted that: 1) During the sampling and construction process, if the actual grade of the mined samples at each sampling point differs greatly from the calculated grade of the sampling design, and the sample weight is properly adjusted, the mined sample position cannot be achieved. For the value, the sampling point with a large tolerance should be selected or a small number of sampling points should be added. 2) In the sampling calculation and sampling construction of the sampling design, a certain fluctuation range is allowed between the average grade of the proposed or produced ore and the geological average grade of the ore represented by it. The range of grade fluctuations allowed by the sampling design and sampling construction system, see 2. Normally, the main useful components are allowed to fluctuate downwards; for the main harmful components, upward fluctuations are allowed; and for the accompanying components, the fluctuation range is appropriately relaxed as appropriate. Table 2 Allowable fluctuation range of main components and associated components in the ore sample

Component grade %	Allowable fluctuation range, ±	Component grade %	Allowable fluctuation range, ±
>45 30-45 20-30 15-20 10-15 5-10	1.00 1.00 1.00 1.00 0.50 0.50	1-5 0.5-1 0.1-0.5 0.05-0.1 0.01-0.5 <0.01	0.20 0.10 0.02-0.05 0.01 0.002-0.005 0.001

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