Diagnosis and Localization of Pipeline leak Based on Numerical Methods of the Inverse Problem Differential Equations

摘要

According to the operating characteristics of gas pipeline during tightness inspection,the partial differential equation model is established for a single point leak of gas distribution networks in pressure testing.Based on Inversion of differential equations boundary conditions,the localization of leak location and leak intensity is transformed into inverse problems about partial differential equations,and then deriving mathematical expressions of leak location,leak intensity attenuation coefficient and leakage coefficient by using Laplace transform.the methods of numerical calculation is constructed by applying the principle of compressed image,at last an example is analyzed and calculated,the analysis of results shows that the calculated values better match with the actual situation,and essentially meet the request of leak detection in pressure test of gas transmission and distribution pipeline systems.