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##### 数学建模英语论文：A Solution to Identification of Oil Storage Tank Displacement and Calibration Table of Tank Capacity

A Solution to Identification of Oil Storage Tank Displacement and Calibration Table of Tank Capacity

Abstract
When studying the problem of underground oil storage tank displacement, we use micro-element method and the principle of equal effects to establish a mathematical model about the identification of oil storage tank displacement and the calibration table of tank capacity. As a result, we achieve the tank dip and the calibration table of tank capacity.
For the first problem, we work out the volume of each part by using integration after cutting the tilted tank into two regular parts. Then we can get the relationship between the heights and the reserves in the tilted tank, we can also wok out the calibration table of tank capacity. Since the expression of the relationship between the heights and the reserves is so complex, we use a simply multinomial (a unitary function) instead the complex expression considering the engineering calculation.
For the second problem, the tank transverse displacement does not have effects on the oil shape in the tank because the body shape of the oil storage tank is cylinder, so the process which be simultaneous vertical tilt in the horizontal deflection is equivalent to two processes, as if the horizontal deflection occurs after the tank has been tilted in the vertical direction.  After using the method of segmentation, combination and calculus, we present a approximate calculation expression based on compensation principle; but the expression just points the relation between oil reserves and the height in the vertical tilt direction. Then finding out the relation between the final oil level height and the height in the horizontal deflection direction, which is on the basis of their geometrical relationship, we get the final expression between the oil reserves and the final height, the longitudinal and transverse gradient deflection angle. Afterwards the standard library table can be established to contain both vertical and horizontal angle as projects, the relationship between the oil reserves and the final oil level height based the expression. According to the standard function library table, we find that the vertical angle is about 5 and the horizontal angle is about 7when compared the curve fitted by the given data with the functions in the standard table. At last, we work out calibration table of tank capacity relation to oil height in between 10cm.

Key Words: segmentation and combination; micro-element method; method of equal effect; compensation principle; standard function library table

1 Introduction
Generally, gas stations store fuel by several underground oil storage tanks, matching with “an oil height measurement management system”. The system can do real-time calculation using the predetermined calibration table of tank capacity, based on the data of the oil height and in/out oil quantity which is measured by flow meter and oil level indicator. As a result, the relation between the fuel reserves and the tank oil level height could be worked out.
However, due to the deformation of foundation leaded by some factors, the tank position will ensue longitudinal tilt and lateral deflection (hereinafter are called displacements) after using the oil tank a period of time, leading the change of calibration table of tank capacity. According to relevant requirements, the capacity table has been required periodic re-calib论文英语论文网提供整理，提供论文代写英语论文代写代写论文代写英语论文代写留学生论文代写英文论文留学生论文代写相关核心关键词搜索。

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