等温输油管道总费用工艺参数分析

指出在管输油品、线路走向及输量等已定时,影响等温输油管道总费用的主要因素有管材、管径及操作压力.通过建立的等温输油管道总费用数学模型进行推导论证,结果表明,在一定条件下,等温输油管道总费用为管径和设计压力的凸函数,且只有一个极值点存在,可以使总费用达到最小值.

Analysis on the Total Cost with other Parameters of Isothermal Oil Pipeline

Once the throughput, pipeline route and oil kinds are defined, the main factors, which influence the total cost of isothermal oil pipeline,are material,diameter and design pressure. On account of the kinds of pipe material are few,so this paper only analyzes the relation between the total cost with the diameter and design pressure. The model of total cost is established,on some condition the Hessian matrix of the total cost is positive,so the only optimal combination of pressure and diameter must exist which can make the total cost attain the minimum. On account of only one point exist which make the value of first derivative of total cost equal to zero,so the total cost is monotonous function of diameter or operation pressure, so the only minimum exist.