%0 Journal Article
%T Numerical Adaptation of Pipeline Network Models on Measurement Archive
%A Vadim E. Seleznev
%J ISRN Applied Mathematics
%D 2014
%R 10.1155/2014/146591
%X We propose an adaptation method for gas dynamic pipeline network models to enable credible representation of actual properties of real simulation objects. The presentation is illustrated by fitting equivalent pipeline section roughnesses used in the models to accommodate the influence of flow resistance on gas transport parameters. The method is based on the setting up and solution of a series of special parametric identification problems based on a limited set of field measurement data at local (in space) network points. This method can be used by specialists in mathematical modeling of gas transport systems to solve practical parametric identification problems. 1. Problem Statement Under present-day conditions of progress in computational technology, various problems of monitoring and operation of complex pipeline systems are closely related to the problem of numerical recovery of flow parameters in pipelines [1]. Mathematical modeling of fluid transport processes in a pipeline network offers a promising approach to this problem. Various properties of the engineering system of interest are represented by corresponding model parameters. Some properties of a branched pipeline network that are essential for flow parameters may vary with time over its life cycle. If the model parameters corresponding to such properties are static, or if their variation law cannot be defined a priori, then such model parameters should be periodically adjusted or revised. Without loss of generality, this method of pipeline network model adjustment will be presented for the case of numerical fitting of effective (equivalent) roughnesses of inner pipe walls in linear segments of the pipeline system of interest. As we know [2], total losses of pressure in viscous matter flowing through pipes to surmount the flow resistance forces are usually defined as a sum of friction losses and local losses : where is the flow friction coefficient [2, 3]; is the Reynolds criterion; , , and are the density, flow velocity, and dynamic viscosity coefficient of matter; and are the pipeline hydraulic diameter and length; is the relative pipe wall roughness; is the absolute pipe wall roughness; and is the local resistance coefficient. In a number of practically significant cases, the total resistance (total pressure losses) in calculations is treated as conventionally increased friction resistance [2]. In the first approximation, as applied to the problem of interest, let us use a similar approach; that is, we approximate the characteristic of interest (1) by the following relationship: where is
%U http://www.hindawi.com/journals/isrn.applied.mathematics/2014/146591/