Method of calculation of a methane concentration field in gob areas with a known velocity field based on the model of stream tubes

The control equations of gas concentration field in gob areas with a known velocity field are partial differential equations with variable coefficients, whose traditional mathematical calculation methods are very complex. A numerical simulation method can be used to calculate the gas concentration field, but it also needs considerable amounts of computer resources and the relations of gas concentration at different points of the gob area are undefined. Based on the model of stream tubes, the conservation equations of mass and gas components within the stream tube are used to deduce the equations of a gas concentration field in a gob area with a known velocity field. This method of calculation of a gas concentration field is applied in a gob area with a U-type ventilation working face, which suggests that this new method has the virtue of exact calculations is simple to operate and has a clear physical interpretation.