数学建模题（Mathematical modeling problem）.docVIP

数学建模题（Mathematical modeling problem） Optimization design and analysis of safety mining Underground mining is a common method for the utilization of mineral resources, and the underground mining operations are as follows: Underground ore thickness, some places are relatively thin, single can be mined, most of the mining area is very thick (10 meters), not a mine will dig out, for stratified operation to ore district, there are certain ore left between the layers and ensure stable geological structure. The underground mining process is as follows: 1, the ore area is stratified, and the high level mining process and the safety guarantee are difficult, and the low grade mineral resources are wasted; 2. Design pillar. The choice of natural pillar pillar and artificial pillar two, reserved area of natural ore pillar pillar is digging, supporting the rocks above; artificial pillar is the first pillar mining area, mining with concrete filling; 3, mined out area, after the first layer of mining, the next layer of mining. Please discuss the following questions regarding the mining process: 1, for the thickness of the ore has been detected, how to layered, can enable enterprises to achieve maximum production; 2, how to choose or design the pillar thickness and other parameters to ensure the mined out area, the geological structure is stable, no pillar collapse event; 3. When the roof fall occurs at the top of goaf, the influence area is analyzed. Two liquid phase extraction The extraction of a component from a liquid mixture using a solvent is called liquid-liquid / liquid extraction. ; Extraction is the use of solvent in each solvent in the solution of the difference in solubility, so that the solute liquid and liquid mass transfer, in order to achieve the separation of homogeneous liquid mixture operation. The entire process of extraction operations may include: 1., the raw liquid and the extractant are fully mixed and contacted to complete the mass transfer process of solut