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Dilution and ore loss are important factors that can affect costs and profitability of a mining operation by lowering the quantity of mineral or metal that can be produced from each ton of processed ore. When discussing open-pit mining, dilution and ore loss are sometimes assumed as fixed factors in geostatistical block models and cut-off grade calculations, without considering specific particularities of the deposit and operation. This paper proposes to quantify the dilution caused by operational inefficiency through identifying the ore blocks that are a part of the short-term plans and mapping their neighbourhood, considering the nature of the contacts and the differences in grades. This technique enables the operational dilution to be calculated. It is applicable for operations using mechanical excavation and/or blasting. The results demonstrate that operational dilution can be measured and controlled to improve the tonnage and grade reconciliation between planning and production.

Geologic modeling is an important step in determining the benefits and final pit dimensions for mining operations. Geostatistical models and distance-based functions are the main methods used to estimate the grade behavior. However, these two methods, despite their similar mean values, differ in spatial variability. The objective of this article is to prove, by comparing the two methodologies, that models with different spatial variability using the Lerchs-Grossmann algorithm will output subtly different final pit dimensions and scheduling. Furthermore, with the direct block schedule (DBS), these differences can be considerable. The tests compared the methodologies using the following three models: inverse distance (ID), ordinary kriging (OK) and turning bands simulation (TBS). The results demonstrate that the Lerchs-Grossmann algorithm is only slightly sensitive to the spatial variability of the grade; however, DBS requires the model populations to be better defined because of its greater sensitivity to spatial variability.

Mineral projects are composed of geological, operational and market uncertainties, and reducing these uncertainties is one of the objectives of engineering. Most surveys assess the impact of geological and operational uncertainties on the mining planning. The objective of this work is to study the impact of market uncertainty on the mineral activity. The influence of iron ore price simulation on mining sequencing will be evaluated. The price of iron ore has random behavior that is best represented by the Geometric Brownian Movement system. This study analyzed the historical series of iron ore in order to determine the percentage volatility and drift. Traditionally, a constant and deterministic price is used for the ore mined in all periods of a mineral project. The direct block scheduling methodology was adopted because it is able to apply the appropriate financial discount factor to the simulated probabilistic price. The proposed methodology was able to quantify the market uncertainty.

Operational dilution in open-pit mining can influence short-term mine planning and affect the adherence between designed and executed plans, impacting the reconciliation results. This type of dilution may occur due to several reasons, such as erroneous assumptions regarding contacts, inefficient mining performance, and uncertainties associated with the planned grades. The use of uncertainties enables better predictability and achievement of planned targets. Using the mine planning polygons and grade models, a methodology is proposed to measure the dilution ranges in each region. The methodology considers the uncertainty associated with the ore grades to verify the probability of occurrence of dilution in the short-term mine plan. The results demonstrated that the use of uncertainties enabled identification of the areas with a higher potential of incurring operational dilution. Using this information, the plans can be adjusted to minimize dilution, or the result can be used as a factor to correct the planned data.

The transport distance in a mining operation strongly influences a mine operation revenue and its operational cycle because it is a fundamental part of the total mining costs. Generally, the transport route is determined based on an engineer's practical knowledge, which does not consider any mechanism to optimize the possible routes to be taken. In an attempt to establish a methodology for calculating the path that results in minimum costs to transport the mined block to its destination, the Dijkstra methodology is applied to a tree graph analysis, where the mining blocks are analysed as nodes of the tree. The transport cost is reflected as the arc of the graphs, which can use the Euclidean distance or the transport time for the calculation of the minimum path. The result obtained from the Dijkstra algorithm provided a non-operational route; to overcome this problem, an adjustment was performed through non-parametric equations. In this manner, it was possible to determine the transport costs for each block of the model. The paths based on Euclidean distance and transport time showed a tendency to increase for deeper mining regions. Identifying areas of largest growth and correctly quantifying their values increase the efficiency of mining planning.

In open pit mining, dilution is not always a factor systematically analyzed and calculated. Often it is only an adjusted number, for example, calculated or even empirically determined for a certain operational condition perpetuating along time in the form of a constant applied to calculating reserves or mine planning in attendance of audit requirements. Dilution and loss are factors that should be always considered for tonnage and grade estimates. These factors are always associated and can be determined considering several particularities of the deposit and the operation itself. In this study, a methodology was determined to identify blocks adjacent to the blocks previously planned to be mined. Thus, it is possible to estimate the dilution caused by poor operating efficiency, taking into account the inability of the equipment to perfectly remove each block, respecting its limits. Mining dilution is defined as the incorporation of waste material to ore due to the operational incapacity to efficiently separate the materials during the mining process, considering the physical processes, and the operating and geometric configurations of the mining with the equipment available.

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