A probabilistic model for a gas explosion due to leakages in the grey cast iron gas mains

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Abstract

In this paper we propose a model for the probability of an explosion caused by a leakage form grey cast iron pipes in the city of Amsterdam as a function of pipeline and environmental characteristics. The parameters in the model are quantified, with uncertainty, using historical data and structured expert judgment, by use of the Classical Model. Eleven experts from Dutch distribution system operators (DSO) and Kiwa Gas Technology participated in the research. The model has to provide the overall probability of an explosion per year and a prioritization of pipes in terms of their potential contribution to the probability of explosion, which can help DSO's to prioritize their replacements.

Introduction

The Netherlands has the largest gas field in Europe and the tenth largest in the world [1]. These gas reserves enable the production of gas for the next 50 years. The Dutch transmission system operator (TSO) and distribution system operators (DSO) transport the natural gas from well to end user. This is done by transporting gas under pressure through pipelines. The total length of the gas infrastructure is approximately 130,000 km and is separated into a transport network and a distribution network.

TSO transports gas regionally in the Netherlands through the transport network, which is operated under a maximum pressure of 40–67 barg (above atmospheric). The transport network is used to supply gas to large industry (including power producers) and the regional gas distribution companies.

DSO distributes gas to Dutch households and smaller industry through the distribution network. Approximately 36,000 km of the distribution network is operated by Liander. The distribution network consists in general of two grids operating at different pressure levels; a high pressure grid and a low pressure grid. The high pressure grid is generally operated under a maximum pressure of 8 barg, although maxima of 1 and 4 barg are also possible. The high pressure grid is used to transport gas to the right district and also to supply gas to smaller industry. In a district station the pressure of the high pressure distribution grid is reduced to the low pressure distribution grid. The pressure in the low pressure distribution grid is operated under an overpressure of 100 mbarg or 30 mbarg. The low pressure distribution grid transports gas to the households and smaller industry.

Pipelines of the high pressure distribution grid are mainly made of steel or polyethylene (PE). The pipelines of the low pressure grid consist mainly of ductile Polyvinyl chloride (PVC), unplasticised PVC and PE. However, the distribution network of Liander still consists of 10% of grey cast iron pipes.

Grey cast iron is an alloy of iron, graphite (carbon), manganese and silicon, which is used for gas pipelines since the beginning of the 19th century. Grey cast iron is an irregular (heterogeneous) material by nature. This irregularity is caused by the flakes of graphite. As a result of these material properties grey cast iron has extremely high compressive strength, low tensile strength and a poor ductility.

Based on the material properties grey cast iron is a so called brittle material. Brittle materials tend to break if they are subjected to a bending stress, whereas other materials (like PE of PVC) deform before they break. Beside sudden rupture due to a bending stress (as a result of its breaking characteristics) grey cast iron pipes are vulnerable for two types of corrosion; pitting (a specific form of corrosion) and graphitization (a process of oxidizing of iron as a result of current resistance and pH value of the soil, from now on called uniform corrosion). Corrosion can accelerate the fracturing process or can be a direct cause of leakage.

Under the right conditions (gas concentration between 5% and 15% of air as well as a spark from an ignition source) gas can explode. Two explosions caused by (sudden) fracture in grey cast iron pipes happened in the Netherlands in the last ten years. There were no casualties and the effects were limited to serious injuries and material damage. The accident in Amsterdam on August 15th 2001 resulted in two heavily injured people. A second explosion in Amsterdam on March 9th 2008 resulted in four slightly injured people and material damage. However, in Great Britain (Larkhall 1999, four fatalities – Dundee 2002, two fatalities) and in France (Dyon 1999, 11 fatalities – Mulhouse 2004, 17 fatalities), there were multiple fatalities caused by an explosion of natural gas released from a fractured cast iron pipe.

Given the potential impact of an explosion in the grey cast iron gas mains we asked ourselves whether it was possible to model the probability of an explosion and to use this model to prioritize the replacement of grey cast iron mains. Therefore, it was, decided to build a quantitative model for the probability of an explosion caused by a leakage form grey cast iron pipes in the city of Amsterdam as a function of pipeline and environmental characteristics. The model has to provide the overall probability of an explosion per year and a prioritization of pipes in terms of their potential contribution to the probability of explosion so that the most dangerous pipes could be replaced first.

The big challenge in building such a model was in combining an available data which is neither complete nor collected in one unified format. The model must be as complex as necessary to satisfy the goals of the project and such that it can be quantified with existing data accompanied by expert judgment input where necessary. In Section 2 we introduce the available data and discuss assumptions concerning model complexity motivated by discoveries observed in the data. Section 3 contains the description of the model and its quantification with data. The quantification of the model has been assisted with expert judgment. We summarize the expert judgment study in Section 4. Section 5 contains model results and presents short sensitivity analysis concerning assumptions made in the model. Finally in the last section conclusions and recommendations are given.

Section snippets

Data analysis

The first step of the model building process was to discuss with experts the most important influences leading to gas accident. Liander employees were a valuable source of information in this respect. To extend our knowledge of the problem a literature study has been conducted. We found that the fracture in pipes is the most common cause of leakages and it might occur as a result of ground loading [2] or 3rd party damage [3]. Corrosion is also regarded as one of the main causes of pipeline

Model and quantification

In Table 1 we see that leakages can be mainly from pipes and joints and they can be caused by corrosion, third party damage and ground movement. Joint failures are most common but also the least is known about their location, exposure to corrosion and ground movement. Hence after discussion with Liander's experts we decided that only four causes of leakages will be taken into account in the model: leakages from joints (irrespectively of the cause), from pipes due to corrosion, caused by third

Expert judgment

This section presents brief summary of expert judgment study which was conducted in order to obtain missing parameters of the model. The Classical method [12], [13], [14] was used. 11 experts took part in the elicitation session. They were employees of the Dutch DSOs Liander (7) and Enexis (2) and Kiwa Gas Technology (2), a consultancy and engineering firm for gas technology services. We asked them to provide their assessments for questions in form of three quantiles of their uncertainty

Results

The goal of the research was to calculate the probability of explosion in grey cast iron pipelines in Amsterdam. Results were obtained for different pipes’ sub-populations. Main outcomes are presented in this section.

Conclusion

The research shows that it is possible to model the probability of an explosion in the grey cast iron gas mains. The result obtained for the whole population in Amsterdam seems to be plausible taking into account that two explosions took place in the past 10 years. The model takes into account four major failure mechanisms and two preconditions (Factor 1 and Factor 2) which have to be met before a leakages result in an explosion.

Factor 1 and Factor 2 are determined by Expert Judgment, therefore

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