Passive nucleon level meter uses the trace natural γ-rays of fly ash itself to detect the ash level in the ash hopper or bin pump,which is a new type of non-contact level meter with high reliability.The variation law of the intensity of γ-rays at the detection point with the ash level of fly ash is an important basis for the design,use and calibration of the meter.Firstly,the calculation formula of γ-ray intensity of the point-shaped radiator at a point in the absorbing medium is derived theoretically,and then,a generalized numerical calculation model of γ-ray intensity of fly ash radiator at the detection point is constructed.In the construction of the numerical model,a more efficient fold-and-half approximation method is proposed to calculate the absorption thickness of the medium for γ-rays.The model construction idea and method are applicable to arbitrary radiator shape and detection point location,and can meet the calculation requirements under various working conditions.By comparing with the accurate γ-ray intensity of the cylindrical radiator in the axis,it is proved that the modeling idea and method of this model are correct,and the accuracy of the model meets the requirements.