20 10 higher education club cup national college students mathematical modeling competition topic a: oil tank displacement identification and tank capacity table calibration. Usually, gas stations have several underground oil tanks for storing fuel, and they all have a matching "oil level measurement management system". Flowmeters and oil level meters are used to measure data such as oil inflow/outflow, oil level in the tank, etc., and the data in the tank can be obtained by real-time calculation through the pre-calibrated tank capacity table (that is, the corresponding relationship between oil level in the tank and oil storage). After many oil storage tanks have been used for a period of time, due to foundation deformation and other reasons, the position of the storage tanks will change (hereinafter referred to as displacement), which will lead to changes in the capacity table of the storage tanks. According to relevant regulations, the tank capacity table needs to be recalibrated periodically. Figure 1 is a schematic diagram of the size and shape of a typical oil storage tank. Its main body is a cylinder with spherical crowns at both ends. Fig. 2 is a schematic diagram of the longitudinal oblique displacement of the tank, and fig. 3 is a schematic cross-sectional view of the lateral deflection displacement of the tank. Please study and solve the problems of displacement identification and tank capacity table calibration of oil storage tank by mathematical modeling. (1) In order to understand the influence of tank displacement on tank capacity table, experiments were carried out with a small elliptical oil storage tank (flat-ended elliptical column) as shown in Figure 4 under the conditions of no displacement and longitudinal displacement inclination =4. 10 respectively. See appendix 1 for experimental data. Please establish a mathematical model to study the influence of oil tank displacement on oil tank capacity table, and give the calibration value of oil tank capacity table with oil level interval of 1cm after oil tank displacement. (2) For the actual oil storage tank shown in Figure 1, try to establish a mathematical model for calibrating the oil tank capacity table after the oil tank is displaced, that is, the general relationship between the oil storage in the tank and the oil level height and displacement parameters (longitudinal inclination angle and lateral deflection angle). Please use the actual test data (Annex 2) to determine the replacement parameters according to the mathematical model established by you after oil tank replacement/oil production, and give the calibration value of the oil tank capacity table with the oil level height interval of 10cm after oil tank replacement. Further use the actual test data in Annex 2 to analyze and test the correctness of your model and the reliability of your method. Quantitative Evaluation of the Impact of Shanghai World Expo 20 10 is the first World Expo held in China. Since 185 1 London's "International Industrial Works Exhibition", the World Expo has increasingly become an important stage for people of all countries to exchange history and culture, display scientific and technological achievements, embody the spirit of cooperation and look forward to future development. Please choose the party you are interested in, establish a mathematical model, and quantitatively evaluate the influence of the 20 10 Shanghai World Expo by using Internet data.