Mathematical modelling of accidental gas releases

Correlations for estimating natural gas leakage from above-ground and buried urban distribution pipelines

“…A C C E P T E D ACCEPTED MANUSCRIPT 3 Monitel et al [21] developed a mathematical model of accidental gas release. They developed one dimension model for gas distribution system operating at medium and low pressure with Ideal gas assumption (ܿ = cte).…”

“…The type of flow in the hole depended to a dimensionless parameter that called critical pressure ratio (CPR) and calculated from Eq. (1) [21]. CPR indicates for each case, the transition from sonic flow to subsonic flow.…”

Comparison study on qualitative and quantitative risk assessment methods for urban natural gas pipeline network

“…The calculation approach of gas release rate adopted in this paper is the Hole Model, which has been widely used in the literatures as a general computational method of quantitative risk analysis [28].…”

An integrated quantitative risk analysis method for natural gas pipeline network

“…The process of leakage is a isentropic adiabatic expansion process, which can be described by: (a) hole models (Montiel, Vılchez, & Casal, 1998); (b) pipe models ; (c) approximate fitting algorithm Jo & Ahn, 2003;Luo, Zheng, Zhao, Huo, & Yang, 2006); (d) dynamic differential equation model (API PR581, 2000;Yang, Li, & Lai, 2007;Mazzoldi, Hill, & Colls, 2008;CCPS, 1994). Recently the hole models have been widely used in literatures as a general computational method to fit the need of quantitative risk analysis, and it is used to calculate the gas release rate in this paper.…”