Anomaly localization in a pipeline

A method for locating an anomaly in a fluid transmission pipeline system, the method comprising:

• receiving input data and output data for one or more physical conditions,
• wherein the input data is measured at an input of a portion of a pipeline and the output data is measured at an output of the portion of the pipeline, and
• wherein the one or more physical conditions comprise at least one of a flowrate, a pressure, or a temperature;
• performing multiple simulations on a model of the portion of the pipeline, wherein each simulation determines a set of simulated conditions that corresponds to a simulated leak location, and wherein the multiple simulations determine a plurality of sets of simulated conditions that respectively correspond to a plurality of simulated leak locations;
• determining a probability for a leak at one or more simulated leak locations from the plurality of simulated leak locations by comparing one or more sets from the plurality of sets of simulated conditions to the output data,
• wherein determining the highest probability location for the leak is further based on stochastically updating the probability for the leak at the one or more simulated leak locations, and
• wherein the one or more updated probabilities are based on stochastically selected input data;
• and
• determining a highest probability location for the leak based on the probability for the leak at one or more simulated leak locations from the plurality of simulated leak locations,
• wherein at least one simulation of the multiple simulations is performed as a stochastic process and is based on the input data.