The results of computer simulation of the magnetic field of a slot in a flat plate are presented. The simulation was performed with allowance made for the nonlinearity of the magnetization curve of the plate's material. A number of peculiarities of the topography of this field, which are explained by a redistribution of volume magnetic charges over the plate body at different portions of the magnetization curve, were discovered. The simulation was performed for the needs of intrapipe diagnostics and flaw detection.In spite of the existence of numerous publications (see, e.g., [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]), the study of the magnetic field of a slot in an article made of a ferromagnetic material cannot be recognized as complete. We hope that this work will be useful both for understanding the processes of field formation in a slot and for practical use in flaw detection.Here, we present the results of a numerical simulation of the field of a rectangular slot using an ELCUT 4.2 program [21,22] performed taking into account the nonlinearity of the material magnetization curve. From the practical point of view, we are interested in the intrapipe nondestructive testing and diagnostics of pipes of oil and gas pipelines laid in earth; because of this, we simulated the field of a slot in a pipe with a diameter of >1 m and a wall 25 mm thick. It is obvious that, during the simulation, the problem can be considered as a two-dimensional task in considering a plate of the same thickness instead of the pipe wall. Taking into account practical use, we studied predominantly a tangential component (parallel to the plate surface) of the crack field at a distance (unless otherwise specified) of 5 mm from the plate surface both on the side of the cropping out slot and on the flaw-free side. In the simulation, the crack depth and width (opening) were taken to be equal to 5 and 0.1 mm, respectively. A magnetizing field was applied along the plate transversely to the crack. The field of the crack at each point was calculated as the difference between the field values in the presence and absence of a crack.Simulation was performed for the following parameters of the magnetization curve of the plate's material: the relative initial magnetic permeability is µ a = 100; the maximum relative permeability is µ max = 407; the field, in which the maximum permeability is reached, is H µ max = 1.5 kA/m; the saturation induction is B s = 2.1 T; and the coercive force is H c = 1.1 kA/m.The following five values of the magnetic field strength corresponding to the most characteristic portions of the magnetization curve were given: the field in which the permeability of the material is close to the initial magnetic permeability; the field corresponding to the increasing permeability as the magnetizing field increases; the field corresponding to the maximum permeability; the field at which the permeability has decreased from the maximum value to the value approximately equal to the initial permeability; and, l...