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卧式储油罐变位与罐容表标定的问题
引用本文:常宇骁,周丹,马宁,雷玉洁. 卧式储油罐变位与罐容表标定的问题[J]. 油气储运, 2012, 31(2): 109-113,167
作者姓名:常宇骁  周丹  马宁  雷玉洁
作者单位:1. 第三军医大学学员旅10队,重庆,400038
2. 第三军医大学数学教研室,重庆,400038
摘    要:将储油罐变位分解为横向移位和纵向倾斜,并设横向偏转角度β,纵向倾斜角度α,根据几何关系研究了卧式储油罐的变位识别。横向移位分析包括油平面高于、低于、处于中层面3种情况;将储油罐分为两侧球冠体和中间圆柱体两部分进行纵向倾斜分析,圆柱体部分针对右侧油面是否接触圆柱体侧壁分为5种情况进行讨论,而球冠体部分分别将两侧球冠体分为左上、左下和右上、右下两部分进行讨论,并建立了储油罐储油量与罐位高度对应关系的微积分数学模型。结合实测数据,利用最小二乘法确定了实际情况下的α和β值,给出了相应罐位高度的罐容表标定值,验证分析了模型的正确性和可靠性。

关 键 词:卧式储油罐  变位  微积分模型  最小二乘法  罐容表  标定

Issues about horizontal tank displacement and tank capacity charts calibration
Affiliation:Chang YuXiao,Zhou Dan,Ma Ning,et al
Abstract:In this paper, the tank displacement is divided into the horizontal displacement and the longitude inclination, assuming the angle of horizontal direction as β and the angle of longitude inclination angle as α, and the displacement identifi cation on horizontal tank is also researched based on geometric relation. Horizontal displacement is analyzed from three aspects, that is, higher oil level, lower oil level and middle oil level. The paper analyzes the horizontal inclination of the oil tank which has been divided into the spherical body of two sides and the middle cylinder for easy analysis; for the cylinder part, a discussion on fi ve cases divided for whether oil level of the right side contacts the side wall of the cylinder is conducted; while for the spherical body, the discussion over the two parts divided for bilateral spherical bodies—left upper and lower, right upper and lower, is made, and by this, calculus mathematical model for the corresponding relation between oil volume and tank level height is established. Referring to the measured data, this paper has worked out α and β in actual situations with least squares method and further given the tank capacity charts calibration of relevant tank level height and validated the correctness and reliability of the model.
Keywords:horizontal oil tank  displacement  calculus model  least squares method  calibration capacity chart  calibration
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