摘要
应用系统分析方法,建立并求解了由干线模型、支线模型和联立模型组合成的复杂枝状管网系统的数学模型。干线模型和支线模型都是非线性偏微分方程组,在一定条件下可以线性化,然后用解析法求解联立模型是根据干线和支线的连接条件而建立起来的一个第一类Volterra型积分方程组。其解一般不具稳定性,为了获得稳定的解,采用了吉洪诺夫正则化求解法。以这些模型为基础编制的计算机模拟分析软件,刘四川气田局部管网进行了实际模拟分析,取得了满意的结果。
This paper presents and solves a realistic transient flow model of a complex branch-like pipeline network system consisting of mainline model, branch model, and connecting model by using system analysis method. The mathematical models of the mainline and branches are non-linear partial differential equation systems. In some conditions, the equation system can be linearized and then solved by analytical methods. The connecting model is a volterra integral equation system of the first kind based on the relation between the mainline and branches. Usually the solution of integral equation of the first kind is not stationary. It must be solved by particular methods. Tikhonov regularization method is used Here. Computer programs are compiled in FORTRAN-77 (IBM-FORTRAN) . Satisfactory results are obtained through simulation of a local natural gas transmission network in Sichuan. Another example with boundary conditions of continuous functions is given with satisfactory solution.
出处
《石油学报》
EI
CAS
CSCD
北大核心
1992年第4期136-147,共12页
Acta Petrolei Sinica
